# Worksheets for 3Rd Grade to Identify Fractions

Document Sample

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Sales (\$) in   16
Millions

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July   Aug   Sept   Oct   Nov   Dec

Month
2
STD                             STANDARD
1    NS1.1   Estimate & Round
5    NS1.2   Percents
1    NS1.3   Exponents
3    NS1.4   Prime Factorization
2    NS1.5   Number Line
7    NS2.1   Decimals
3    NS2.2   Division
5    NS2.3   Add/Sub Fractions/Mixed #'s + Word Problems
1    NS2.4   Multiply & Divide Fraction Concepts
1    NS2.5   Multiply & Divide Fractions
1    AF1.1   Interpret Graphs & Equations
6    AF1.2   Algebraic Phrases to Equations
1    AF1.3   Distributive Property
4    AF1.4   Graphing/Identify Ordered Pairs
5    AF1.5   Solve & Graph Simple Linear Equations

2.5   GM1.1   Derive & Calculate Area of Polygons
1/2   GM1.2   Construct & Compute Rectangular Prism Surface Area
3    GM1.3   Volume of Rectangular Solids
1    GM1.4   Area, Perimeter & Volume: Use Correct Units
3    GM2.1   Measure, ID, & Draw Geometric Figures
4    GM2.2   Sum of the Angles: Triangle, Rectangle
1    GM2.3   Draw 2-D Objects from 3-D Figures
3
STD                         STANDARD
1/3   SP1.1   Mean, median, mode & range
1/3   SP1.2   Histograms & Circle Graphs
1/3   SP1.3   Compare Data Sets (%, Fractions)
2.5   SP1.4   Interpret Data from a Graph
1/3   SP1.5   Writing Ordered Pairs

MR1.1   Relevant vs Irrelevant
MR1.2   Break a Problem into Simpler Parts
MR2.1   Estimation to Verify Reasonableness
MR2.2   Use Simple Problems to Solve Complex Problems
MR2.3   Other Methods to Explain Math Reasoning
MR2.4   Notation & Terms
MR2.5   Exact vs Approximate Solutions
MR2.6   Precise Calculations & Check Validity
MR3.1   Reasonableness of Solution
MR3.2   Methods of Deriving a Solution
MR3.3   Generalize Results
4
* … Ongoing              **…Tested in the next DSAT Exam

1.1      extra      Understand Millions                                  11.1      NS1.1     Estimate Quotients
1.2    4th grade    Millions and Billions                                11.2      NS2.2     Divide 3-Digit Dividends
1.3    4th grade    Compare Numbers                                      11.3      NS2.2     Zeros in Division
1.5       MR        Use a Table                                          11.5      AF1.2     Algebra: Expressions & Equations
11.6       MR       Interpret the Remainder
2.1      extra      Tenths and Hundredths
2.2      extra      Thousandths and Ten-Thousandths                      12.1      NS2.2     Algebra: Patterns in Division
2.3      extra      Equivalent Decimals                                  12.2      extra     Estimate Quotients
2.4      NS1.5      Compare and Order Decimals                           12.3      NS2.2     Divide by 2-Digit Divisors
2.5       MR        Draw Conclusions                                     12.4      NS1.1     Correcting Quotients
12.5      NS2.2     Practice Division
3.1      NS1.1      Round Whole Numbers                                  12.6       MR       Predict and Test
3.2      NS1.1      Estimate Sums and Differences
3.3    3rd grade    Add and Subtract Whole Numbers                       13.1      extra     Algebra: Patterns in Decimal Div.
3.4      extra      Add and Subtract Greater Numbers                     13.2      NS2.2     Decimal Division
3.5       MR        Use Logical Reasoning                                13.3      NS2.2     Divide Decimals by Whole #'s
13.4       MR       Work Backward or Draw a Diagram
4.1      NS1.1      Round Decimals                                       13.5      NS1.2     Change a Fraction to a Decimal
4.2      NS1.1      Estimate Decimal Sums/Differences
4.3      NS2.1      Add and Subtract Decimals                            14.1      NS2.2     Algebra: Patterns in Decimal Div
4.4      NS2.1      Zeros in Subtraction                                 14.2      NS2.2     Divide with Decimals
4.5       MR        Estimate or Find Exact Answer                        14.3      NS2.2     Decimal Division
14.4       MR       Choose the Operation
5.1     AF1.2       Expressions and Variables
DSAT EXAM 1 : Nov. 3-7
5.2    AF1.1, 1.2   Write Equations
5.3      AF1.2      Solve Equations
5.5       MR        Use a Formula                                        15.2    6th grade   Multiples & LCM
15.3    6th grade   Greatest Common Factor
6.1      AF1.2      Write and Evaluate Expressions                       15.4       MR       Identify Relationships
6.2      AF1.2      Write an Equation                                    15.5      extra     Prime and Composite Numbers
6.3      AF1.1      Use Multiplication Properties                        15.6      NS1.3     Introduction to Exponents
6.4      AF1.3      The Distributive Property                            15.7      NS1.3     Evaluate Expressions w/ Exponents
15.8      NS1.4     Exponents and Prime Factors
9.1      NS1.1      Estimation: Patterns in Multiples
9.2    3rd grade    Multiply by 1-Digit Numbers                          16.1      extra     Relate Decimals to Fractions
9.3    4th grade    Multiply by 2-Digit Numbers                          16.2      NS1.5     Equivalent Fractions
9.4      extra      Multiply Greater Numbers                             16.3    6th grade   Compare and Order Fractions
16.5      extra     Understand Mixed Numbers
10.1     NS2.1      Multiply Decimals and Whole #'s                      16.6       MR       Make a Model
10.2     NS2.1      Alg: Patterns
10.3     NS2.1      Model Decimal Multiplication
10.4     NS2.1      Place the Decimal Point
10.5     NS2.1      Zeros in the Product
10.6      MR        Make Decisions

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18.1      NS1.2       Understand Percent                                24.1   AF1.5, SP1.5    Integers
18.2      NS1.2       Relate Decimals and Percents                      24.2   AF1.4, SP1.5    Compare and Order Integers
18.3      NS1.2       Relate Fractions, Decimals, and Percents          24.3      AF1.1,       Add Integers
AF1.5,SP1.4
18.4      NS1.2       Find a Percent of a Number                        24.4       MR          Subtract Integers
18.5      NS1.2       Mental Math: Percent of a Number
DSAT EXAM 2 : Jan. 26-30
18.6      AF1.1       Make a Graph
18.7   AF1.1, SP1.3   Compare Data Sets
7.1       SP1.2        Collect and Organize Data
19.1      NS2.3       Add and Subtract Like Fractions                   7.2       SP1.1        Find the Mean
19.2      NS2.3       Add Unlike Fractions                              7.3       SP1.1        Find the Median and Mode
19.3      NS2.3       Subtract Unlike Fractions                         7.4       SP1.1        Make a Graph
19.4      extra       Estimate Sums and Differences                     7.5       SP1.1        Analyze Graphs
19.5      NS2.3       Use Least Common Denominators
19.6      NS2.3       Add and Subtract Unlike Fractions                 8.1       extra        Choose a Reasonable Scale
19.7       MR         Work Backward                                     8.2       extra        Make a Graph
8.3    AF1.4, SP1.4,   Graph Ordered Pairs
SP1.5
20.1      NS2.3       Add Mixed Numbers                                 8.4    AF1.1,SP1.2 Make Line Graphs
20.2      NS2.3       Subtract Mixed Numbers                            8.5       SP1.2        Histograms
20.3      NS2.3       Subtraction with Renaming                         8.6       SP1.2        choose the Appropriate Graph
20.4      NS2.3       Practice with Mixed Numbers
20.5       MR         Multistep Problems                                25.1      GM2.1        Lines and Angles
25.2      GM2.1        Measure and Draw Angles
21.1   NS2.4 NS2.5 Multiply Fractions and Whole #'s                     25.3      GM2.2        Angles and Polygons
21.2   NS2.4, NS2.5 Multiply a Fraction by a Fraction                   25.4    4th grade      Circles
21.3      NS2.5       Multiply Fractions and Mixed #'s                  25.5      extra        Congruent and Similar Figures
21.4      NS2.5       Multiply with Mixed Numbers                       25.6      extra        Symmetric Figures
21.5       MR         Sequence & Prioritize Information                 25.7       MR          Find a Pattern

22.1   NS2.4, NS2.5 Divide Fractions                                    26.1   GM2.1, GM2.2 Triangles

22.2       extra      Reciprocals                                       26.2   GM2.1, GM2.2 Quadrilaterals

22.3      NS2.5       Divide Whole #'s by Fractions                     26.3      AF1.4        Algebra-Transformations
22.4   NS2.4, NS2.5 Divide Fractions                                    26.4    4th grade      Solid Figures
22.5       MR         Solve a Simpler Problem                           26.5     GM2.3         Draw Solid Figures
26.6       MR          Make Generalizations
23.1      NS1.5       Integers
23.2      NS1.5       Compare and Order Integers                        29.1     GM1.2         Triangles
23.4      NS2.1       Subtract Integers                                 29.3   GM1.3, GM1.4 Algebra-Transformations

23.5      NS2.1       Subtract Integers                                 29.4   GM1.3, GM1.4 Solid Figures

23.6       MR         Draw a Diagram                                    29.5       MR          Draw Solid Figures

DSAT EXAM 3 : Mar. 30 - Apr. 3

Harcourt Text
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Ongoing: Multiplication Matrix, Divisibility Rules, Estimate & Round**+ MR & PSolving lessons

DSAT Exam 1… Nov. 3-7
Covers: Stds NS1.1, 1.5, 2.1, 2.2;
Vocabulary 1                                SP1.1…chapters 1-6 + 9, 10-14

std     BP      Standard                                                                                                       Harcourt
Estimate, round, and manipulate very large (e.g., millions) and very small                               Additional Textbook
**   NS1.1    1
(e.g., thousandths) numbers.                                                                               Pages/Chapter
Chapt.    Sec.       page(s)

AM                                                             Unpacked Standards        TEXT       page(s)      1        all        2-11
21                                                      Estimate very large numbers.      3.2         34         2      2, 4, 5   20-21,24-27

56                                                     Estimate very small numbers.       4.2         48         3        all        32-41

8                                                        Round very large numbers.       3.1         32         4       1, 2        46-49

56                                                       Round very small numbers.        4.1         46         9        all      144-151

2,3,4                                                 Manipulate very large numbers.      supp                   12        2        202-203

Manipulate very small numbers.      supp                   19        4        350-351

Identify and represent on a number line decimals, fractions, mixed numbers,
NS1.5    2
and positive and negative integers.
Harcourt
AM                                                             Unpacked Standards        TEXT       page(s)
52, 55
supplemental
Identify decimals on a number line.      2.4         24           Pages/Chapter
92         materials for                          Identify fractions on a number line.   16.2         282      Chapt.    Sec.       page(s)
much of this
90
standard.                     Identify mixed numbers on a number line.      supp                   16        1       280-283
6                                        Identify positive integers on a number line.   23.1         416       23        1       416-419
7                                       Identify negative integers on a number line.    23.1         416        4        1         46,47
55                                             Represent decimals on a number line.      supp                    2        4         24, 25
93-94                                           Represent fractions on a number line.     supp                   18        3          320

90                                      Represent mixed numbers on a number line.        supp

7                                     Represent positive integers on a number line.     23.2         420

7                                     Represent negative integers on a number line.     23.2         420

**   NS2.1    2       subtract positive integers from negative integers; and verify the
reasonableness of the results.                                                                                  Harcourt
AM                                                             Unpacked Standards        TEXT       page(s)

61,68                                Add decimals & verify reasonableness of results.      4.3         50

66, 70                           Subtract decimals & verify reasonableness of results.     4.3         50       Chapt.    Sec.       page(s)
73                             Multiply decimals & verify reasonableness of results.     10.1         158       4        3, 4       50-55
13.2,3
Divide decimals & verify reasonableness of results.                222, 238    10       all      158-169
14.1-3
Add with negative integers & verify reasonableness of results.      23.3        422       23       3, 4     422-427
Subtract positive integers from negative integers & verify reasonableness of
23.5         428
results.

Harcourt Text
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Ongoing: Multiplication Matrix, Divisibility Rules, Estimate & Round**+ MR & PSolving lessons

DSAT Exam 1… Nov. 3-7
Covers: Stds NS1.1, 1.5, 2.1, 2.2;
Vocabulary 1                              SP1.1…chapters 1-6 + 9, 10-14

std       BP       Standard
Demonstrate proficiency with division, including division with positive
**    NS2.2        3                                                                                                                Pages/Chapter
decimals and long division with multi-digit divisors.
Chapt.    Sec.      page(s)

AM                                                            Unpacked Standards        TEXT       page(s)     11        all     182-193
11.2,3
42-44                                          Demonstrate proficiency with division.
12.1,3
184       12      3, 4, 5   204-211
13.2,3                                   220-225,
81,82                          Demonstrate proficiency with division using decimals.
14.1-3
222, 238    13      2, 3, 5
228-229
45-47           Demonstrate proficiency with long division using multi-digit divisors.   12.5         210       14       2, 3     236-241
This standard is covered in chapters 11-14       15        1       254-255

Know the concepts of mean, median, and mode; compute and compare
SP1.1      1/3
simple examples to show that they may differ.

AM                                                            Unpacked Standards        TEXT       page(s)             Harcourt
163                                                     Know the concepts of mean.       7.2         102

163                                                                  Compute mean.       7.2         102        Additional Textbook
164                                                   Know the concepts of median.       7.3         104
Pages/Chapter
Chapt.    Sec.      page(s)
164                                                                Compute median.       7.3         104       7       2&3       102-105
165                                                     Know the concepts of mode.       7.3         104

165                                                                  Compute mode.       7.3         104

Compare simple examples to show that mean, median and mode may differ.        supp

This standard will be tested on DSAT Exam 2
Use a letter to represent an unknown number; write and evaluate simple                                    Pages/Chapter
AF1.2        6
algebraic expressions in one variable by substitution.                                               Chpt      Sec      Page(s)
AM                                                            Unpacked Standards        TEXT       page(s)     5        1,2       68-73
5.1-3
Write an equation from an algebraic phrase.
6.1-2
68, 86     6        1,2       86-89
5.1-3
72-80                                     Solve an equation from an algebraic phrase.
6.1-2
68, 86     11        5       190-193
12        1       200-201
13        1       218-219
14        1       234-235

This standard will be tested on DSAT Exam 2
Know and use the distributive property in equations and expressions with
AF1.3        1
variables.
AM                                                            Unpacked Standards        TEXT       page(s)

Know the distributive property.     6.4       92, 146

Use the distributive property to solve equations & expressions.    6.4       92, 146

Harcourt Text
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Ongoing: Multi Matrix; NS1.1, 2.1, 2.2; AF1.2, 1.3 + MR & PSolving lessons @ end of chapters

DSAT Exam 2… Jan. 26-30
Covers: Stds NS1.2-1.5, 2.3-2.5;
vocab 2                             AF1.2, 1.3…chapts 15,16,18,19, 20-24

std     BP      Standard                                                                                                     Harcourt
Understand and compute positive integer powers of nonnegative integers;
NS1.3
compute examples as repeated multiplication.
AM                                                            Unpacked Standards        TEXT     page(s)       Pages/Chapter
Understand positive integer powers of nonnegative integers.     15.6-7    266      Chpt      Sec       Page(s)
Compute positive integer powers of nonnegative integers.      15.6-7    266       23      2, 3, 4    420-431
Compute examples of positive integer powers of nonnegative integers as
15.6-7    266
repeated multiplication.

Determine prime factors of all numbers through 50 & write the numbers as
NS1.4    3       the product of their prime factors by using exponents to show multiples of a
factor(e.g., 24 = 2 x 2 x 2 x 3 = 2 3 x 3)
AM                                                            Unpacked Standards        TEXT     page(s)       Pages/Chapter
11-13                         Determine the prime factors of all numbers through 50.     15.8      272      Chpt      Sec       Page(s)
Write the prime factors of all numbers through 50 as the product of their                               5, 6, 7,
41
prime factors by using exponents to show multiples of a factor.
15.8      272       15                 264-275
8

Identify and represent on a number line decimals, fractions, mixed numbers,
NS1.5    2
and positive and negative integers.
Harcourt
AM                                                            Unpacked Standards        TEXT     page(s)
52, 55
supplemental                          Identify decimals on a number line.     2.4       24          Pages/Chapter
92         materials for                         Identify fractions on a number line.   16.2      282      Chapt.     Sec.      page(s)
much of this
90           standard.                    Identify mixed numbers on a number line.      supp                16         1       280-283
6                                       Identify positive integers on a number line.   23.1      416       23         1       416-419
7                                       Identify negative integers on a number line.   23.1      416       4          1        46,47
55                                             Represent decimals on a number line.     supp                2          4        24, 25
93-94                                          Represent fractions on a number line.     supp                18         3         320

90                                     Represent mixed numbers on a number line.        supp

7                                    Represent positive integers on a number line.     23.2      420

7                                     Represent negative integers on a number line.    23.2      420

Harcourt Text
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Ongoing: Multi Matrix; NS1.1, 2.1, 2.2; AF1.2, 1.3 + MR & PSolving lessons @ end of chapters

DSAT Exam 2… Jan. 26-30
Covers: Stds NS1.2-1.5, 2.3-2.5;
vocab 2                             AF1.2, 1.3…chapts 15,16,18,19, 20-24

std       BP        Standard
Solve simple problems, including ones arising in concrete situations,
involving the addition and subtraction of fractions and mixed numbers (like
NS2.3      5
and unlike denominators of 20 or less), and express answers in the simplest
form.                                                                                                     Harcourt
AM                                                              Unpacked Standards        TEXT     page(s)

Solve fraction word problems involving addition with like denominators and
96, 98                                                                                      19.1      344
Solve fraction word problems involving addition with unlike denominators                              Pages/Chapter
99, 101                                                                                19.2, 5,6      346
and reduce answers.                         Chpt    Sec     Page(s)
Solve fraction word problems involving subtraction with like denominators                              1,2,3,5, 344-349,
102,   108
19.1      344       19
6      352-357
104,       Solve fraction word problems involving subtraction with unlike denominators
19.3, 5, 6    348       20     all     364-373
Solve word problems involving addition of mixed #'s with like denominators
97, 98                                                                                      supp
Solve word problems involving addition of mixed #'s with unlike
100-1                                                                                  20.1, 4       364
Solve word problems involving subtraction of mixed #'s with like
103                                                                                       supp
Solve word problems involving subtraction of mixed #'s with unlike
106-7                                                                                      20.2-4    368

NS2.4      1         Understand the concept of multiplication and division of fractions.                                  Additional Textbook
Pages/Chapter
AM                                                              Unpacked Standards        TEXT     page(s)   Chpt    Sec     Page(s)
109-114                            Understand the concept of multiplication of fractions.   21.1-2    380       21     all     380-387
115-116                                  Understand the concept of division of fractions.   22.1,4    394       22     all     394-403

Compute and perform simple multiplication and division of fractions and                              Additional Textbook
NS2.5      1
apply these procedures to solving problems.                                                            Pages/Chapter

page(s)
AM                                                              Unpacked Standards        TEXT               Chpt    Sec     Page(s)
109-114                         Compute problems involving multiplication of fractions.     21.1-4    380       21     all     380-387

115-116                               Compute problems involving division of fractions. 22.1,3,4      394       22     all     394-403

Compute word problems involving multiplication of fractions.     21.2-4    382

Compute word problems involving division of fractions. 22.1,3,4       394

Harcourt Text
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Ongoing: Multi Matrix; NS1.1, 2.1, 2.2; AF1.2, 1.3 + MR & PSolving lessons @ end of chapters

DSAT Exam 2… Jan. 26-30
Covers: Stds NS1.2-1.5, 2.3-2.5;
Vocab 2                              AF1.2, 1.3…chapts 15,16,18,19, 20-24

std       BP       Standard
Interpret percents as a part of a hundred; find decimal and percent
NS1.2        5       equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.                                                            Harcourt
AM                                                              Unpacked Standards         TEXT      page(s)

173-174                                        Interpret percents as a part of a hundred.    18.1        316      Additional Textbook
13.5,                    Pages/Chapter
169-171                                Find decimal equivalents for common fractions.                 228, 320
18.3                Chpt    Sec     Page(s)
176                                   Find percent equivalents for common fractions.       18.3        320      2       3        22-23
175             Explain why decimal & percent equivalents represent the same value.        18.2        319      18      5      316-329
173-174                                   Compute a given percent of a whole number.         18.4-5      324

This standard will be tested on DSAT Exam 3

Use information taken from a graph or equation to answer questions about a
problem situation.
Pages/Chapter
AM                                                              Unpacked Standards         TEXT      page(s)   Chpt    Sec     Page(s)
155-160                                            Interpret a graph to solve a problem. see Unpacked Stds        5       3        74-77

58-63                                         Interpret an equation to solve a problem.      5.2        72       6       3        90-91
This standard will be tested on DSAT Exam 3

Identify and graph ordered pairs in the four quadrants of the coordinate
AF1.4        4
plane.
AM                                                              Unpacked Standards         TEXT      page(s)
Pages/Chapter
144                           Identify ordered pairs in the Cartesian coordinate plane.       8.3, 24.2        Chpt    Sec     Page(s)
144                            Graph ordered pairs in the Cartesian coordinate plane.       8.3, 24.2, 26.3     8       3      122-123
This standard will be tested on DSAT Exam 3

Solve problems involving linear functions with integer values; write the
AF1.5        5
equation; and graph the resulting ordered pairs of integers on a grid.
Harcourt
AM                                                              Unpacked Standards         TEXT      page(s)

Solve problems involving linear functions with integer values.      24.3        444       Additional Textbook
Pages/Chapter
Write the equation of linear functions.     24.3        444
Chpt    Sec     Page(s)
Graph ordered pairs of linear functions on the Cartesian coordinate plane.     24.3        444      24      3      444-447

This standard will be tested on DSAT Exam 3
SP1.5      1/2      Know how to write ordered pairs correctly; for example, ( x, y ).                                          Pages/Chapter
Chpt    Sec     Page(s)

AM                                                              Unpacked Standards         TEXT
page(s)    8       3      122-123
144                                Write ordered pairs correctly; for example, ( x, y ).     8.3, 24.1-2        24    1&2      438-443
26      3      484-485
Harcourt Text
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Ongoing: Multi Matrix; NS1.1, 1.2 ,1.4, 2.1-2.3; AF1.1-1.5 + MR & PSolving lessons @ end of chapters.
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4;
DSAT Exam 3… Mar. 30-Apr. 3                             Vocab 3            GM2.2, 2.3, SP1.2-1.5              …chapts
7, 8, 25, 26, 29
std     BP       Standard

Derive and use the formula for the area of a triangle and of a parallelogram
by comparing it with the formula for the area of a rectangle (i.e., two of the
GM1.1    2.5      same triangles make a parallelogram with twice the area; a parallelogram is
compared with a rectangle of the same area by cutting and pasting a right
triangle on the parallelogram).
Harcourt
AM                                                               Unpacked Standards         TEXT     page(s)
Derive the formula for the area of a triangle by comparing it with the formula
for the area of a rectangle.
Derive the formula for the area of a parallelogram by comparing it with the                              Pages/Chapter
150-1                                                                                       28.6       536
formula for the area of a rectangle.                      Chpt    Sec     Page(s)
528-529,
Use the formula to find the area of a triangle.   28.5       532      28 3,5 & 6
532-539
150-1                              Use the formula to find the area of a parallelogram.     28.6       536

Construct a cube & rectangular box from two-dimensional patterns & use
GM1.2    1/2
these patterns to compute the surface area for these objects.
Harcourt
AM                                                               Unpacked Standards         TEXT     page(s)
Construct a cube from two-dimensional patterns.       29.1       546          Pages/Chapter
142                                                Compute the surface area of a cube.      29.2       548     Chpt    Sec     Page(s)
Construct a rectangular box from two-dimensional patterns.       29.1       546      29      2      548-551
142                                     Compute the surface area of a rectangular box.      29.2       549

Understand the concept of volume and use the appropriate units in common
GM1.3     3       measuring systems (i.e., cubic centimeter [cm 3 ], cubic meter [m 3 ], cubic
inch [in 3 ], cubic yard [yd 3 ]) to compute the volume of rectangular solids.                          Additional Textbook
Pages/Chapter
AM                                                               Unpacked Standards         TEXT     page(s)
152                                                 Understand the concept of volume.       29.3       552     Chpt    Sec     Page(s)
153                              Use appropriate units in common measuring systems.         29.3-4     553      29      3      552-555
153                                Compute the volume of rectangular solids (prisms).       29.3-4     553

Differentiate between, & use appropriate units of measures for, two-& three-
GM1.4     1
dimensional objects (i.e., find the perimeter, area, volume).
AM                                                               Unpacked Standards         TEXT     page(s)        Pages/Chapter
148-151                                                                        Find Area.    28.3-6     528     Chpt    Sec     Page(s)
145-147                                                                   Find Perimeter. 28.1, 4       524      28      1      524-525
152-153                                                                    Find Volume.      29.3-4     552      29      4      556-557
145-153                        Differentiate units between area, perimeter, and volume.         28.4, 29.4

145-153              Use appropriate units of measures for area, perimeter, and volume.      28.1-6     556

Harcourt Text
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Ongoing: Multi Matrix; NS1.1, 1.2 ,1.4, 2.1-2.3; AF1.1-1.5 + MR & PSolving lessons @ end of chapters.
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4;
DSAT Exam 3… Mar. 30-Apr. 3                             Vocab 3            GM2.2, 2.3, SP1.2-1.5              …chapts
7, 8, 25, 26, 29

std    BP      Standard
Measure, identify, and draw angles, perpendicular and parallel lines,
GM2.1    3      rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler,
compass, protractor, drawing software).                                                                 Harcourt
Unpacked Standards          TEXT   page(s)
134                                                                 Identify angles.    25.1    454          Pages/Chapter
133                                                   Identify perpendicular lines.     25.1    455      Chpt    Sec     Page(s)
133                                                          Identify parallel lines.   25.1    455       25    1&2      454-459
136-7                                                          Identify rectangles.     26.2    482       26    1&2      478-483
136                                                              Identify triangles.    26.1    478
135                             Measure angles using appropriate measuring tools.       25.2    458
Measure perpendicular lines using appropriate measuring tools.       supp
Measure parallel lines using appropriate measuring tools.     supp
Measure rectangles using appropriate measuring tools.       supp
Measure triangles using appropriate measuring tools.      supp
Draw angles using appropriate drawing tools.       25.1    454
Draw perpendicular lines using appropriate drawing tools.      25.1    454
Draw parallel lines using appropriate drawing tools.     25.1    454
Draw rectangles using appropriate drawing tools.       supp
Draw triangles using appropriate drawing tools.      26.1    478

Know that the sum of the angles of any triangle is 180° and the sum of the
GM2.2    4      angles of any quadrilateral is 360° and use this information to solve
Pages/Chapter
AM                                                          Unpacked Standards          TEXT   page(s)

Know that the sum of the angles of any triangle is 180°.     supp             Chpt    Sec     Page(s)
Know that the sum of the angles of any quadrilateral is 360°.     supp              25      3      460-463
Solve problems using the sum of the angles of any triangle is 180°.     25.3    460

Solve problems using sum of the angles of any quadrilateral is 360°.     supp

Visualize and draw two-dimensional views of three-dimensional objects
AM                                                          Unpacked Standards          TEXT   page(s)   Chpt    Sec     Page(s)
154                            Draw 2-D views of 3-D rectangular solids (prisms).       26.5    490       26    4&5      486-491

Harcourt Text
13

Ongoing: Multi Matrix; NS1.1, 1.2 ,1.4, 2.1-2.3; AF1.1-1.5 + MR & PSolving lessons @ end of chapters.
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4;
DSAT Exam 3… Mar. 30-Apr. 3                             Vocab 3            GM2.2, 2.3, SP1.2-1.5              …chapts
7, 8, 25, 26, 29

std     BP       Standard                                                                                                     Harcourt
Organize & display single-variable data in appropriate graphs and
SP1.2    1/3      representations (e.g., histogram, circle graphs) and explain which types of                            Additional Textbook
graphs are appropriate for various data sets.                                                            Pages/Chapter

AM                                                              Unpacked Standards         TEXT    page(s)    Chpt    Sec     Page(s)
Organize single-variable data in appropriate graphs and representations.(e.g.,     7.1,
histogram, circle graphs)
98, 124     7       1       98-101
8.4-6
Display single-variable data in appropriate graphs and representations(e.g.,    7.1,4                     1, 4, 5, 116-119 &
histogram, circle graphs)
98, 124     8
8.4-6                        6      124-133
Explain which types of graphs are appropriate for various data sets. 7.5, 8.6    108,130

SP1.3    1/3      Use fractions and percentages to compare data sets of different sizes.
Pages/Chapter
AM                                                              Unpacked Standards         TEXT    page(s)    Chpt    Sec     Page(s)
176-178                            Use fractions to compare data sets of different sizes.   supp                18      7      332-333
176-178                         Use percentages to compare data sets of different sizes.    18.7     332

Identify ordered pairs of data from a graph and interpret the meaning of the
SP1.4    2.5
data in terms of the situation depicted by the graph.
AM                                                              Unpacked Standards         TEXT    page(s)        Pages/Chapter
8.3,
144                                       Identify ordered pairs of data from a graph .            122,440
24.3               Chpt    Sec     Page(s)
Interpret the meaning of the data in terms of the situation depicted by a
graph.
supp                7       5      108-111

SP1.5    1/3      Know how to write ordered pairs correctly; for example, ( x, y ).                                      Additional Textbook
Pages/Chapter
AM                                                              Unpacked Standards         TEXT     page(s)   Chpt    Sec      Page(s)
8.3, 24.1-
144                                Write ordered pairs correctly; for example, ( x, y ).
2
122,438    8       3      122-123
24    1&2      438-443
26      3      484-485

Harcourt Text
14
45%   Number Sense (NS)                                                                     Divisibility Rules
26%   Algebra & Functions (AF)                                                            Multiplication Matrix
23%   Geometry & Measurement (GM)                                                          Estimate & Round
P Solving @ end of chapter
6%   Stats/Prob/Data Analysis (PS)
blue = not a grade-level standard
Covers: Stds NS1.1, 1.5, 2.1, 2.2; SP1.1…                           chapters 1-6
DSAT Exam 1… Nov. 3-7                                  Vocab 1                                                               + 9, 10-14

Ch.Sec     Std       Pg               Text Section Headings                   Std       California Standard / unpacked standard / Notes
1.1       extra      2    Understand Millions
Chapter 1

1.2     4th grade    4    Millions and Billions
1.3     4th grade    8    Compare Numbers
1.4     4th grade   10    Order Numbers
1.5       MR        12    Use a Table

2.1       extra     18    Tenths and Hundredths                            NS1.5 Identify and represent on a number line decimals, fractions, mixed numbers, &
Chapter 2

2.2       extra     20    thousandths and Ten-Thousandths                        positive and negative integers.
2.3       extra     22    Equivalent Decimals                                      a   Identify decimals on a number line.                                  2.4
2.4      NS1.5      24    Compare and Order Decimals                               b   Identify fractions on a number line.                                 16.2
2.5       MR        26    Draw Conclusions                                         c   Identify mixed numbers on a number line.                             Supp
d   Identify positive integers on a number line.                         23.1
e   Identify negative integers on a number line.                         23.1
f   Represent decimals on a number line.                                 Supp
g   Represent fractions on a number line.                                Supp
h   Represent mixed numbers on a number line.                            Supp
g   Represent positive integers on a number line.                        23.2
h   Represent negative integers on a number line.                        23.2

3.1      NS1.1      32    Round Whole Numbers                                NS1.1 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g.,
3.2      NS1.1      34    Estimate Sums and Differences                            thousandths) numbers.
Chapter 3

3.2, 9.1, 11.1,
3.3     3rd grade   36    Add and Subtract Whole Numbers                           a Estimate very large numbers.                                           12.4
3.4       extra     38    Add and Subtract Greater Numbers                         b Estimate very small numbers.                                           4.2

3.5       MR        40    Use Logical Reasoning                                    c   Round very large numbers.                                            3.1
d   Round very small numbers.                                            4.1
e   Manipulate very large numbers.                                       Supp
f   Manipulate very small numbers.                                       Supp
Harcourt Text
15

45%   Number Sense (NS)                                                                   Divisibility Rules
26%   Algebra & Functions (AF)                                                          Multiplication Matrix
23%   Geometry & Measurement (GM)                                                        Estimate & Round
P Solving @ end of chapter
6%   Stats/Prob/Data Analysis (PS)

blue = not a grade-level standard
Covers: Stds NS1.1, 1.5, 2.1, 2.2; SP1.1…                              chapters 1-6
DSAT Exam 1… Nov. 3-7                               Vocab 1                                                             + 9, 10-14

Ch.Sec     Std    Pg             Text Section Headings                    Std      California Standard / unpacked standard / Notes
4.1      NS1.1   46    Round Decimals                                    NS1.1 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g.,
4.2      NS1.1   48    Estimate Decimal Sums and Differences                   thousandths) numbers.
Chapter 4

3.2, 9.1, 11.1,
4.3      NS2.1   50    Add and Subtract Decimals                               a Estimate very large numbers.                                              12.4
4.4      NS2.1   54    Zeros in Subtraction                                    b Estimate very small numbers.                                              4.2

4.5       MR     56    Estimate or Find Exact Answer                           c Round very large numbers.                                                 3.1

d Round very small numbers.                                                 4.1

e Manipulate very large numbers.                                            supp

f Manipulate very small numbers.                                            supp

NS2.1 Add, subtract, multiply, and divide with decimals; add with negative integers;
a subtract positive integers from negative integers; and verify the reasonableness of
b the results.
a Add decimals & verify reasonableness of results.                          4.3

b Subtract decimals & verify reasonableness of results.                     4.3

c Multiply decimals & verify reasonableness of results.                     10.1

d Divide decimals & verify reasonableness of results.                       supp

e Add with negative integers & verify reasonableness of results.            23.3
Subtract positive integers from negative integers & verify reasonableness
f                                                                           23.5
of results.

Harcourt Text
16

45%   Number Sense (NS)                                                                      Divisibility Rules
26%   Algebra & Functions (AF)                                                             Multiplication Matrix
23%   Geometry & Measurement (GM)                                                           Estimate & Round
P Solving @ end of chapter
6%   Stats/Prob/Data Analysis (PS)

blue = not a grade-level standard
Covers: Stds NS1.1, 1.5, 2.1, 2.2; SP1.1…                            chapters 1-6
DSAT Exam 1… Nov. 3-7                                      Vocab 1                                                             + 9, 10-14

Ch.Sec      Std       Pg               Text Section Headings                     Std      California Standard / unpacked standard / Notes
Use information taken from a graph or equation to answer questions about a
5.1      AF1.2       68    Expressions and Variables                            AF1.1
problem situation.
See unpacked
5.2     AF1.1, 1.2   72    Write Equations                                            a Interpret a graph to solve a problem.
Chapter 5

stds

5.3       AF1.2      74    Solve Equations                                            b Interpret an equation to solve a problem.                               5.2

Use a letter to represent an unknown number; write and evaluate simple algebraic
expressions in one variable by substitution.
5.5        MR        80    Use a Formula
5.1-3      6.1-
a Write an equation from an algebraic phrase.                             2
5.1-3      6.1-
b Solve an equation from an algebraic phrase.                             2
Know and use the distributive property in equations and expressions with
AF1.3
variables.
6.1       AF1.2      86    Write and Evaluate Expressions                             a Know the distributive property.                                         6.4
Chapter 6

6.2       AF1.2      88    Write an Equation                                          b Use the distributive property to solve equations & expressions.         6.4

6.3       AF1.1      90    Use Multiplication Properties
6.4       AF1.3      92    The Distributive Property

Standard SP1.1 will included in this DSAT 1 Exam

Harcourt Text
17

45%   Number Sense (NS)                                                                    Divisibility Rules
26%   Algebra & Functions (AF)                                                           Multiplication Matrix
23%   Geometry & Measurement (GM)                                                         Estimate & Round
P Solving @ end of chapter
6%   Stats/Prob/Data Analysis (PS)

blue = not a grade-level standard
Covers: Stds NS1.1, 1.5, 2.1, 2.2; SP1.1…                               chapters 1-6
DSAT Exam 1… Nov. 3-7                                    Vocab 1                                                           + 9, 10-14

Ch.Sec     Std       Pg               Text Section Headings                 Std       California Standard / unpacked standard / Notes
9.1      NS1.1      144 Estimation: Patterns in Multiples                  NS1.1 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g.,

9.2     3rd grade   146   Multiply by 1-Digit Numbers                            thousandths) numbers.
Chapter 9

3.2, 9.1, 11.1,
9.3     4th grade   148   Multiply by 2-Digit Numbers                            a Estimate very large numbers.                                                12.4
9.4       extra     150   Multiply Greater Numbers                               b Estimate very small numbers.                                                4.2

9.5       MR        152 Evaluate Answers for Reasonableness                      c Round very large numbers.                                                   3.1

d Round very small numbers.                                                   4.1

e Manipulate very large numbers.                                              supp

f Manipulate very small numbers.                                              supp

NS2.1
10.1      NS2.1      158 Multiply Decimals and Whole Numbers                      a subtract positive integers from negative integers; and verify the reasonableness of
Algebra: Patterns in Decimal Factors and                 the results.
10.2      NS2.1      160                                                          b
Products
Chapter 10

10.3      NS2.1      162 Model Decimal Multiplication                             a Add decimals & verify reasonableness of results.                            4.3

10.4      NS2.1      164 Place the Decimal Point                                  b Subtract decimals & verify reasonableness of results.                       4.3

10.5      NS2.1      168 Zeros in the Product                                     c Multiply decimals & verify reasonableness of results.                       10.1

10.6       MR        170 Make Decisions                                           d Divide decimals & verify reasonableness of results.                         supp

e Add with negative integers & verify reasonableness of results.              23.3

Subtract positive integers from negative integers & verify reasonableness
f                                                                             23.5
of results.
Harcourt Text
18

45%   Number Sense (NS)                                                                 Divisibility Rules
26%   Algebra & Functions (AF)                                                        Multiplication Matrix
23%   Geometry & Measurement (GM)                                                      Estimate & Round
P Solving @ end of chapter
6%   Stats/Prob/Data Analysis (PS)

blue = not a grade-level standard
Covers: Stds NS1.1, 1.5, 2.1, 2.2; SP1.1…                              chapters 1-6
DSAT Exam 1… Nov. 3-7                                Vocab 1                                                             + 9, 10-14

Ch.Sec     Std       Pg               Text Section Headings                Std      California Standard / unpacked standard / Notes
11.1      NS1.1      182 Estimate Quotients                               NS1.1 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g.,

11.2      NS2.2      184 Divide 3-Digit Dividends                               thousandths) numbers.
3.2, 9.1, 11.1,
Chapter 11

11.3      NS2.2      186 Zeros in Division                                       a Estimate very large numbers.                                             12.4
11.4    4th grade   188   Divide Greater Numbers                                b Estimate very small numbers.                                             4.2

11.5      AF1.2      190 Algebra: Expressions and Equations                      c Round very large numbers.                                                3.1

Demonstrate proficiency with division, including division with positive decimals
11.6       MR        194 Interpret the Remainder                          NS2.2
and long division with multi-digit divisors.
11.2,3
a Demonstrate proficiency with division.                                   12.1,3
13.2,3
b Demonstrate proficiency with division using decimals.                    14.1-3

c Demonstrate proficiency with long divisionusing multi-digit divisors.    12.5

12.1      NS2.2      200 Algebra: Patterns in Division                     AF1.2 Use a letter to represent an unknown number; write and evaluate simple algebraic
12.2      extra     202   Estimate Quotients                                       expressions in one variable by substitution.
5.1-3      6.1-
Chapter 12

12.3      NS2.2      204 Divide by 2-Digit Divisors                              a Write an equation from an algebraic phrase.                              2
5.1-3      6.1-
12.4      NS1.1      208 Correcting Quotients                                    b Solve an equation from an algebraic phrase.                              2

12.5      NS2.2      210 Practice Division
12.6       MR        212 Predict and Test

Harcourt Text
19

45%    Number Sense (NS)                                                                    Divisibility Rules
26%    Algebra & Functions (AF)                                                           Multiplication Matrix
23%    Geometry & Measurement (GM)                                                         Estimate & Round
P Solving @ end of chapter
6%    Stats/Prob/Data Analysis (PS)

blue = not a grade-level standard
Covers: Stds NS1.1, 1.5, 2.1, 2.2; SP1.1…                              chapters 1-6
DSAT Exam 1… Nov. 3-7                                     Vocab 1                                                           + 9, 10-14

Ch.Sec     Std        Pg               Text Section Headings                  Std      California Standard / unpacked standard / Notes
Demonstrate proficiency with division, including division with positive decimals
13.1      extra      218   Algebra: Patterns in Decimal Division            NS2.2
and long division with multi-digit divisors.
11.2,3
13.2      NS2.2      220 Decimal Division                                           a Demonstrate proficiency with division.                                   12.1,3
Chapter 13

13.2,3
13.3      NS2.2      222 Divide Decimals by Whole Numbers                           b Demonstrate proficiency with division using decimals.                    14.1-3

Compare Strategies-Work Backward or
13.4       MR        226                                                            c Demonstrate proficiency with long divisionusing multi-digit divisors.    12.5
Draw a Diagram

13.5      NS1.2      228 Divide to Change a Fraction to a Decimal            NS1.2 Interpret percents as a part of a hundred; find decimal and percent equivalents for
common fractions and explain why they represent the same value; compute a
given percent of a whole number.

Standard SP1.1 will included in this DSAT 1 Exam (mean, median,                    a Interpret percents as a part of a hundred.                               18.1
mode)
b Find decimal equivalents for common fractions.                           13.5, 18.3

14.1      NS2.2      234 Algebra: Patterns in Decimal Division                      c Find percent equivalents for common fractions.                           18.3
Chapter 14

14.2      NS2.2      236 Divide with Decimals                                       d Explain why decimal & percent equivalents represent the same value.      18.2

14.3      NS2.2      238 Decimal Division                                           e Compute a given percent of a whole number.                               18.4-5

14.4       MR        242 Choose the Operation

Harcourt Text
20

45%   Number Sense (NS)                                             Divisibility Rules                    NS1.1 - Estimate & Round
26%   Algebra & Functions (AF)                                    Multiplication Matrix                        NS2.1 - Decimals
23%   Geometry & Measurement (GM)                                  Estimate & Round                            NS2.2 - Division
6%   Stats/Prob/Data Analysis (PS)                            P Solving @ end of chapter              AF1.2 - Alg. Phrases to Equations

blue = not a grade-level standard
Covers: Stds NS1.2-1.5, 2.3-2.5; AF1.2, 1.3…
DSAT Exam 2… Jan. 26-30                                   Vocab 2                                                  chapts 15,16,18,19, 20-24

Ch.Sec     Std       Pg                   Text Section Headings               Std  California Standard / unpacked standard / Notes
Understand and compute positive integer powers of nonnegative integers; compute
15.1      extra     254   Divisibility                                      NS1.3
examples as repeated multiplication.
15.2    6th grade   256   Multiples and Least Common Multiples                     a Understand positive integer powers of nonnegative integers.               15.6-7

15.3    6th grade   258   Greatest Common Factor                                   b Compute positive integer powers of nonnegative integers.                  15.6-7
Chapter 15

Compute ex. of positive integer powers of nonnegative integers as
15.4       MR        262 Identify Relationships                                     c                                                                           15.6-7
repeated mult.
15.5      extra     264   Prime and Composite Numbers                       NS1.4 Determine prime factors of all numbers through 50 & write the numbers as the
product of their prime factors by using exponents to show multiples of a factor.
15.6      NS1.3      266 Introduction to Exponents                                 (e.g., 24 = 2 x 2 x 2 x 3 = 23 x 3)
15.7      NS1.3      268 Evaluate Expressions with Exponents                        a Determine the prime factors of all numbers through 50.                    15.8

15.8      NS1.4      272 Exponents and Prime Factors                                b Write the prime factors of all numbers thru 50 as the product of prime
15.8
factors by using exponents to show multiples of a factor.
NS1.5 Identify and represent on a number line decimals, fractions, mixed numbers, &
positive and negative integers.
16.1      extra     280   Relate Decimals to Fractions                             a   Identify decimals on a number line.                                     2.4
16.2      NS1.5      284 Equivalent Fractions                                       b   Identify fractions on a number line.                                    16.2
Chapter 16

16.3    6th grade   286   Compare and Order Fractions                              c   Identify mixed numbers on a number line.                                supp
16.4    3rd grade   290   Simplest Form                                            d   Identify positive integers on a number line.                            23.1
16.5      extra     294   Understand Mixed Numbers                                 e   Identify negative integers on a number line.                            23.1
16.6       MR        296 Make a Model                                               f   Represent decimals on a number line.                                    supp
g   Represent fractions on a number line.                                   supp
h   Represent mixed numbers on a number line.                               supp
g   Represent positive integers on a number line.                           23.2
h   Represent negative integers on a number line.                           23.2
Harcourt Text
21

45%   Number Sense (NS)                                           Divisibility Rules                   NS1.1 - Estimate & Round
26%   Algebra & Functions (AF)                                  Multiplication Matrix                       NS2.1 - Decimals
23%   Geometry & Measurement (GM)                                Estimate & Round                           NS2.2 - Division
6%   Stats/Prob/Data Analysis (PS)                          P Solving @ end of chapter             AF1.2 - Alg. Phrases to Equations

blue = not a grade-level standard
Covers: Stds NS1.2-1.5, 2.3-2.5; AF1.2, 1.3…
DSAT Exam 2… Jan. 26-30                         Vocab 2                                                     chapts 15,16,18,19, 20-24

Ch.Sec     Std     Pg             Text Section Headings                Std      California Standard / unpacked standard / Notes

18.1      NS1.2    316 Understand Percent                             NS1.2 Interpret percents as a part of a hundred; find decimal and percent equivalents for
common fractions and explain why they represent the same value; compute a
18.2      NS1.2    318 Relate Decimals and Percents                         given percent of a whole number.

18.3      NS1.2    320 Relate Fractions, Decimals, and Percents              a Interpret percents as a part of a hundred.                              18.1
Chapter 18

18.4      NS1.2    324 Find a Percent of a Number                            b Find decimal equivalents for common fractions.                          13.5, 18.3

18.5      NS1.2    328 Mental Math: Percent of a Number                      c Find percent equivalents for common fractions.                          18.3

18.6      AF1.1    330 Make a Graph                                          d Explain why decimal & percent equivalents represent the same value.     18.2

AF1.1,
18.7               332 Compare Data Sets                                     e Compute a given percent of a whole number.                              18.4-5
SP1.3
Use information taken from a graph or equation to answer questions about a
AF1.1
problem situation.

a Interpret a graph to solve a problem.                                   see unpacked

b Interpret an equation to solve a problem.                               5.2

SP1.3 Use fractions and percentages to compare data sets of different sizes.

a Use fractions to compare data sets of different sizes.                  supp

b Use percentages to compare data sets of different sizes.                18.7

Harcourt Text
22

45%   Number Sense (NS)                                               Divisibility Rules                 NS1.1 - Estimate & Round
26%   Algebra & Functions (AF)                                      Multiplication Matrix                     NS2.1 - Decimals
23%   Geometry & Measurement (GM)                                    Estimate & Round                         NS2.2 - Division
6%   Stats/Prob/Data Analysis (PS)                              P Solving @ end of chapter           AF1.2 - Alg. Phrases to Equations

blue = not a grade-level standard
Covers: Stds NS1.2-1.5, 2.3-2.5; AF1.2, 1.3…
DSAT Exam 2… Jan. 26-30                             Vocab 2                                                    chapts 15,16,18,19, 20-24

Ch.Sec     Std     Pg               Text Section Headings                 Std       California Standard / unpacked standard / Notes
19.1      NS2.3    344 Add and Subtract Like Fractions                   NS2.3
Solve simple problems, including ones arising in concrete situations, involving the
19.2      NS2.3    346 Add Unlike Fractions                                         addition and subtraction of fractions and mixed numbers (like & unlike
denominators of 20 or less), and express answers in the simplest form.
19.3      NS2.3    348 Subtract Unlike Fractions
Solve fraction problems and word problems involving addition with like
Chapter 19

19.4      extra   350   Estimate Sums and Differences                          a                                                                             19.1
Solve fraction problems and word problems involving addition with
19.5      NS2.3    352 Use Least Common Denominators                            b                                                                             19.2, 5,6
Solve fraction problems and word problems involving subtraction with
19.6      NS2.3    354 Add and Subtract Unlike Fractions                        c                                                                             19.1
Solve fraction problems and word problems involving subtraction with
19.7       MR      358 Work Backward                                            d                                                                             19.3, 5, 6
Solve problems & word problems involving addition of mixed #'s with
e                                                                             supp
Solve problems & word problems involving addition of mixed #'s with
f                                                                             20.1, 4
Solve problems & word problems involving subtraction of mixed #'s
20.1      NS2.3    364 Add Mixed Numbers                                        g                                                                             supp
with like denominators and reduce answers.
Solve problems & word problems involving subtraction of mixed #'s
20.2      NS2.3    368 Subtract Mixed Numbers                                   h                                                                             20.2-4
Chapter 20

with unlike denominators & reduce answers.
20.3      NS2.3    370 Subtraction with Renaming

20.4      NS2.3    372 Practice with Mixed Numbers

20.5       MR      374 Multistep Problems

Harcourt Text
23

45%   Number Sense (NS)                                          Divisibility Rules                  NS1.1 - Estimate & Round
26%   Algebra & Functions (AF)                                 Multiplication Matrix                      NS2.1 - Decimals
23%   Geometry & Measurement (GM)                               Estimate & Round                          NS2.2 - Division
6%   Stats/Prob/Data Analysis (PS)                         P Solving @ end of chapter            AF1.2 - Alg. Phrases to Equations

blue = not a grade-level standard
Covers: Stds NS1.2-1.5, 2.3-2.5; AF1.2, 1.3…
DSAT Exam 2… Jan. 26-30                              Vocab 2                                                    chapts 15,16,18,19, 20-24

Ch.Sec        Std        Pg             Text Section Headings               Std      California Standard / unpacked standard / Notes
21.1      NS2.4 NS2.5    380 Multiply Fractions and Whole Numbers          NS2.4 Understand the concept of multiplication and division of fractions.

21.2      NS2.4, NS2.5   382 Multiply a Fraction by a Fraction                    a Understand the concept of multiplication of fractions.                 21.1-2
Chapter 21

21.3        NS2.5        384 Multiply Fractions and Mixed Numbers                 b Understand the concept of division of fractions.                       22.1,4

Compute and perform simple multiplication and division of fractions and apply
21.4        NS2.5        386 Multiply with Mixed Numbers                   NS2.5
these procedures to solving problems.
21.5          MR         388 Sequence and Prioritize Information                     Compute problems involving multiplication of fractions.               21.1-4

Compute problems involving division of fractions.                     22.1,3,4

Compute word problems involving multiplication of fractions.          21.2-4

22.1     NS2.4, NS2.5    394 Divide Fractions                                        Compute word problems involving division of fractions.                22.1,3,4

22.2         extra       396 Reciprocals
Chapter 22

22.3        NS2.5        398 Divide Whole Numbers by Fractions

22.4     NS2.4, NS2.5    400 Divide Fractions

22.5          MR         404 Solve a Simpler Problem

Harcourt Text
24

45%     Number Sense (NS)                                           Divisibility Rules                   NS1.1 - Estimate & Round
26%     Algebra & Functions (AF)                                  Multiplication Matrix                       NS2.1 - Decimals
23%     Geometry & Measurement (GM)                                Estimate & Round                           NS2.2 - Division
6%     Stats/Prob/Data Analysis (PS)                          P Solving @ end of chapter             AF1.2 - Alg. Phrases to Equations

blue = not a grade-level standard
Covers: Stds NS1.2-1.5, 2.3-2.5; AF1.2, 1.3…
DSAT Exam 2… Jan. 26-30                                      Vocab 2                                                   chapts 15,16,18,19, 20-24

Ch.Sec            Std         Pg              Text Section Headings                Std      California Standard / unpacked standard / Notes
23.1             NS1.5        416 Integers                                       NS1.5
Identify and represent on a number line decimals, fractions, mixed numbers, &
positive and negative integers.
23.2             NS1.5        420 Compare and Order Integers
Chapter 23

23.3             NS2.1        422 Add Integers                                           a Identify decimals on a number line.                                     2.4

23.4             NS2.1        426 Subtract Integers                                      b Identify fractions on a number line.                                    16.2

23.5             NS2.1        428 Subtract Integers                                      c Identify mixed numbers on a number line.                                supp

23.6              MR          432 Draw a Diagram                                         d Identify positive integers on a number line.                            23.1

e Identify negative integers on a number line.                            23.1

NS2.1                                                                                    f Represent decimals on a number line.                                    supp
negative integers; subtract positive integers from negative                 g Represent fractions on a number line.                                   supp
integers; and verify the reasonableness of the results.
h Represent mixed numbers on a number line.                               supp

a Add decimals & verify reasonableness of results.                                g Represent positive integers on a number line.                           23.2

b Subtract decimals & verify reasonableness of results.                           h Represent negative integers on a number line.                           23.2

c Multiply decimals & verify reasonableness of results.
d Divide decimals & verify reasonableness of results.

e Add with negative integers & verify reasonableness of results.
Subtract positive integers from negative integers & verify
f
reasonableness of results.

Harcourt Text
25

45%    Number Sense (NS)                                             Divisibility Rules                   NS1.1 - Estimate & Round
26%    Algebra & Functions (AF)                                    Multiplication Matrix                       NS2.1 - Decimals
23%    Geometry & Measurement (GM)                                  Estimate & Round                           NS2.2 - Division
6%    Stats/Prob/Data Analysis (PS)                            P Solving @ end of chapter             AF1.2 - Alg. Phrases to Equations

blue = not a grade-level standard
Covers: Stds NS1.2-1.5, 2.3-2.5; AF1.2, 1.3…
DSAT Exam 2… Jan. 26-30                                  Vocab 2                                                      chapts 15,16,18,19, 20-24

Ch.Sec         Std         Pg              Text Section Headings                Std  California Standard / unpacked standard / Notes
Solve problems involving linear functions with integer values; write the equation;
24.1      AF1.5, SP1.5    416 Integers                                         AF1.5
and graph the resulting ordered pairs of integers on a grid.
Chapter 24

24.2      AF1.4, SP1.5    420 Compare and Order Integers                              a Solve problems involving linear functions with integer values.                24.3

AF1.1,
24.3       AF1.5,SP1.4
422 Add Integers                                            b Write the equationof linear functions.                                        24.3

Graph ordered pairs of linear functions on the Cartesian coordinate
24.4           MR         426 Subtract Integers                                       c                                                                               24.3
plane.
SP1.5 Know how to write ordered pairs correctly; ie, ( x, y ).

a Write ordered pairs correctly; for example, ( x, y ).                         8.3, 24.1-2

Identify ordered pairs of data from a graph and interpret the meaning of the data
SP1.4
in terms of the situation depicted by the graph.

a Identify ordered pairs of data from a graph .                                 8.3,        24.3

Identify and graph ordered pairs in the four quadrants of the                    Interpret the meaning of the data in terms of the situation depicted by a
AF1.4                                                                                 b                                                                               supp
coordinate plane.                                                                graph.
Use information taken from a graph or equation to answer questions about a
a Identify ordered pairs in the Cartesian coordinate plane.             AF1.1
problem situation.
b Graph ordered pairs in the Cartesian coordinate plane.                       a Interpret a graph to solve a problem.                                         see unpacked

b Interpret an equation to solve a problem.                                     5.2

Harcourt Text
26

45%   Number Sense (NS)                                Divisibility Rules, Multi. Matrix               AF1.1 - Use Equations & Graphs
26%   Algebra & Functions (AF)                            NS1.1 - Estimate & Round                     AF1.2 - Alg. Phrases to Equations
23%   Geometry & Measurement (GM)                               NS1.4 - Prime #'s                        AF1.3 - Distributive Property
NS2.1 - Decimals, NS2.2 - Division                AF1.4 - Equations & Graphs
6%   Stats/Prob/Data Analysis (PS)
NS2.3 - Fractions                       Prob. Solving @ end of chapter

blue = not a grade-level standard

DSAT Exam 3… Mar. 30-Apr. 3
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4; GM2.2, 2.3, SP1.3-1.5
Vocab 3                                            …chapts 7, 8, 25, 26, 29

Ch.Sec     Std    Pg             Text Section Headings                Std       California Standard / unpacked standard / Notes

7.1      SP1.2   98    Collect and Organize Data                    SP1.2 Organize & display single-variable data in appropriate graphs and representations
(e.g., histogram, circle graphs) and explain which types of graphs are appropriate
7.2      SP1.1   102 Find the Mean                                        for various data sets.
Chapter 7

Organize single-variable data in appropriate graphs and
7.3      SP1.1   104 Find the Median and Mode                              a                                                                             7.1, 8.4-6
representations.(e.g., histogram, circle graphs)
Display single-variable data in appropriate graphs and
7.4      SP1.1   106 Make a Graph                                          b                                                                             7.1,4       8.4-6
representations(e.g., histogram, circle graphs)

7.5      SP1.1   108 Analyze Graphs                                        c        Explain which types of graphs are appropriate for various data sets. 7.5, 8.6

Know the concepts of mean, median, and mode; compute and compare simple
SP1.1
examples to show that they may differ.

a Know the concepts of mean.                                                   7.2

b Compute mean.                                                                7.2

c Know the concepts of median.                                                 7.3

d Compute median.                                                              7.3

e Know the concepts of mode.                                                   7.3

f Compute mode.                                                                7.3

Compare simple examples to show that mean, median and mode may
g                                                                              supp
differ.

Harcourt Text
27

45%   Number Sense (NS)                                  Divisibility Rules, Multi. Matrix                AF1.1 - Use Equations & Graphs
26%   Algebra & Functions (AF)                              NS1.1 - Estimate & Round                      AF1.2 - Alg. Phrases to Equations
23%   Geometry & Measurement (GM)                                 NS1.4 - Prime #'s                         AF1.3 - Distributive Property
NS2.1 - Decimals, NS2.2 - Division                 AF1.4 - Equations & Graphs
6%   Stats/Prob/Data Analysis (PS)
NS2.3 - Fractions                        Prob. Solving @ end of chapter

blue = not a grade-level standard

DSAT Exam 3… Mar. 30-Apr. 3
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4; GM2.2, 2.3, SP1.3-1.5
Vocab 3                                             …chapts 7, 8, 25, 26, 29

Ch.Sec        Std         Pg               Text Section Headings                 Std       California Standard / unpacked standard / Notes

8.1         extra        116   Choose a Reasonable Scale                       SP1.2 Organize & display single-variable data in appropriate graphs and representations
(e.g., histogram, circle graphs) and explain which types of graphs are appropriate
8.2         extra        120   Make a Graph                                          for various data sets.
Chapter 8

AF1.4, SP1.4,                                                                                      Organize single-variable data in appropriate graphs and
8.3         SP1.5
122 Graph Ordered Pairs                                      a                                                                              7.1, 8.4-6
representations.(e.g., histogram, circle graphs)
Display single-variable data in appropriate graphs and
8.4     AF1.1, SP1.2     124 Make Line Graphs                                         b                                                                              7.1,4        8.4-6
representations(e.g., histogram, circle graphs)

8.5         SP1.2        128 Histograms                                               c         Explain which types of graphs are appropriate for various data sets. 7.5, 8.6

8.6         SP1.2        130 choose the Appropriate Graph                      SP1.5 Know how to write ordered pairs correctly; ie, ( x, y ).

a Write ordered pairs correctly; for example, ( x, y ).                         8.3, 24.1-2

Identify ordered pairs of data from a graph and interpret the meaning of the data
SP1.4
in terms of the situation depicted by the graph.
a Identify ordered pairs of data from a graph .                                 8.3,        24.3

Interpret the meaning of the data in terms of the situation depicted by a
b                                                                               supp
graph.
Use information taken from a graph or equation to answer questions about a
AF1.1
problem situation.

a Interpret a graph to solve a problem.                                         see unpacked

b Interpret an equation to solve a problem.                                     5.2

Harcourt Text
28

45%    Number Sense (NS)                                  Divisibility Rules, Multi. Matrix             AF1.1 - Use Equations & Graphs
26%    Algebra & Functions (AF)                              NS1.1 - Estimate & Round                   AF1.2 - Alg. Phrases to Equations
23%    Geometry & Measurement (GM)                                 NS1.4 - Prime #'s                      AF1.3 - Distributive Property
NS2.1 - Decimals, NS2.2 - Division              AF1.4 - Equations & Graphs
6%    Stats/Prob/Data Analysis (PS)
NS2.3 - Fractions                     Prob. Solving @ end of chapter

blue = not a grade-level standard

DSAT Exam 3… Mar. 30-Apr. 3
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4; GM2.2, 2.3, SP1.3-1.5
Vocab 3                                            …chapts 7, 8, 25, 26, 29

Ch.Sec           Std         Pg               Text Section Headings                 Std      California Standard / unpacked standard / Notes

25.1          GM2.1         454 Lines and Angles                                  GM2.1 Measure, identify, and draw angles, perpendicular and parallel lines, rectangles,
and triangles by using appropriate tools (e.g., straightedge, ruler, compass,
25.2          GM2.1         458 Measure and Draw Angles                                 protractor, drawing software).
Chapter 25

25.3          GM2.2         460 Angles and Polygons                                      a Identify angles.                                                      25.1

25.4          4th grade     464   Circles                                                b Identify perpendicular lines.                                         25.1

25.5            extra       468   Congruent and Similar Figures                          c Identify parallel lines.                                              25.1

25.6            extra       470   Symmetric Figures                                      d Identify rectangles.                                                  26.2

25.7            MR          472 Find a Pattern                                           e Identify triangles.                                                   26.1

f   Measure angles using appropriate measuring tools.                    25.2
g    Measure perpendicular lines using appropriate measuring tools.       supp
h    Measure parallel lines using appropriate measuring tools.            supp
i   Measure rectangles using appropriate measuring tools.                supp
j   Measure triangles using appropriate measuring tools.                 supp
GM2.2 Know that the sum of the angles of any triangle is 180° and the                   k    Draw angles using appropriate drawing tools.                         25.1
sum of the angles of any quadrilateral is 360° and use this                        l   Draw perpendicular lines using appropriate drawing tools.            25.1
information to solve problems.                                                    m    Draw parallel lines using appropriate drawing tools.                 25.1
a Know that the sum of the angles of any triangle is 180°.                        n Draw rectangles using appropriate drawing tools.                      supp

b The sum of the angles of any quadrilateral is 360°.                             o Draw triangles using appropriate drawing tools.                       26.1

c Solve problems using the sum of the angles of any triangle is 180°.

Solve problems using the sum of the angles of any quadrilateral is
d
360°.
Harcourt Text
29
45%    Number Sense (NS)                                Divisibility Rules, Multi. Matrix             AF1.1 - Use Equations & Graphs
26%    Algebra & Functions (AF)                            NS1.1 - Estimate & Round                   AF1.2 - Alg. Phrases to Equations
23%    Geometry & Measurement (GM)                               NS1.4 - Prime #'s                      AF1.3 - Distributive Property
NS2.1 - Decimals, NS2.2 - Division              AF1.4 - Equations & Graphs
6%    Stats/Prob/Data Analysis (PS)
NS2.3 - Fractions                     Prob. Solving @ end of chapter
blue = not a grade-level standard

DSAT Exam 3… Mar. 30-Apr. 3
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4; GM2.2, 2.3, SP1.3-1.5
Vocab 3                                           …chapts 7, 8, 25, 26, 29

Ch.Sec          Std          Pg               Text Section Headings               Std      California Standard / unpacked standard / Notes
GM2.1,
26.1                        478 Triangles                                       GM2.1 Measure, identify, and draw angles, perpendicular and parallel lines, rectangles,
GM2.2
and triangles by using appropriate tools (e.g., straightedge, ruler, compass,
GM2.1,                                                                  protractor, drawing software).
Chapter 26

GM2.2
26.3          AF1.4         484 Algebra-Transformations                                a Identify angles.                                                      25.1

26.4          4th grade     486   Solid Figures                                        b Identify perpendicular lines.                                         25.1

26.5          GM2.3         490 Draw Solid Figures from Different Views                c Identify parallel lines.                                              25.1

26.6            MR          492 Make Generalizations                                   d Identify rectangles.                                                  26.2

e Identify triangles.                                                   26.1
f Measure angles using appropriate measuring tools.                     25.2
GM2.2 Know that the sum of the angles of any triangle is 180° and the                   g Measure perpendicular lines using appropriate measuring tools.        supp
sum of the angles of any quadrilateral is 360° and use this                       h Measure parallel lines using appropriate measuring tools.             supp
information to solve problems.                                                    i Measure rectangles using appropriate measuring tools.                 supp

a Know that the sum of the angles of any triangle is 180°.                      j Measure triangles using appropriate measuring tools.                  supp

b The sum of the angles of any quadrilateral is 360°.                           k Draw angles using appropriate drawing tools.                          25.1

c Solve problems using the sum of the angles of any triangle is 180°.           l Draw perpendicular lines using appropriate drawing tools.             25.1

Solve problems using the sum of the angles of any quadrilateral is
d                                                                             m Draw parallel lines using appropriate drawing tools.                    25.1
360°.
n Draw rectangles using appropriate drawing tools.                      supp

o Draw triangles using appropriate drawing tools.                       26.1

Visualize and draw two-dimensional views of three-dimensional
GM2.3                                                                             AF1.4 Identify and graph ordered pairs in the four quadrants of the coordinate plane.
a Draw 2-D views of 3-D rectangular solids (prisms).                            a Identify ordered pairs in the Cartesian coordinate plane.             8.3, 24.2

b Graph ordered pairs in the Cartesian coordinate plane.                8.3, 24.2
Harcourt Text
30
45%   Number Sense (NS)                                Divisibility Rules, Multi. Matrix            AF1.1 - Use Equations & Graphs
26%   Algebra & Functions (AF)                            NS1.1 - Estimate & Round                  AF1.2 - Alg. Phrases to Equations
23%   Geometry & Measurement (GM)                               NS1.4 - Prime #'s                     AF1.3 - Distributive Property
NS2.1 - Decimals, NS2.2 - Division             AF1.4 - Equations & Graphs
6%   Stats/Prob/Data Analysis (PS)
NS2.3 - Fractions                    Prob. Solving @ end of chapter

blue = not a grade-level standard

DSAT Exam 3… Mar. 30-Apr. 3
Covers: Stds AF1.1, 1.4, 1.5; GM1.1-1.4; GM2.2, 2.3, SP1.3-1.5
Vocab 3                                           …chapts 7, 8, 25, 26, 29

Ch.Sec     Std     Pg               Text Section Headings               Std  California Standard / unpacked standard / Notes
Construct a cube and rectangular box from two-dimensional patterns and use
29.1      GM1.2    478 Triangles                                       GM1.2
these patterns to compute the surface area for these objects.
29.2      GM1.2    482 Quadrilaterals                                         a Construct a cube from two-dimensional patterns.                         29.1
Chapter 29

GM1.3,
29.3               484 Algebra-Transformations                                b Compute the surface area of a cube.                                     29.2
GM1.4
GM1.3,
29.4               486   Solid Figures                                        c Construct a rectangular box from two-dimensional patterns.              29.1
GM1.4
29.5       MR      490 Draw Solid Figures from Different Views                d Compute the surface area of a rectangular box.                          29.2

Understand the concept of volume and use the appropriate units in common
GM1.3 measuring systems (i.e., cubic centimeter [cm3], cubic meter [m3], cubic inch
[in3], cubic yard [yd3]) to compute the volume of rectangular solids.

a Understand the concept of volume.                                       29.3

b Use appropriate units in common measuring systems.                      29.3-4

c Compute the volume of rectangular solids (prisms).                      29.3-4

Differentiate between, and use appropriate units of measures for, two-and three-
GM1.4
dimensional objects (i.e., find the perimeter, area, volume).

a Find Area.                                                              28.3-6

b Find Perimeter.                                                         28.1, 4

c Find Volume.                                                            29.3-4

d Differentiate units between area, perimeter, and volume.                28.4, 29.4

e Use appropriate units of measures for area, perimeter, and volume.      28.1-6

Harcourt Text
2008-2009 Grade 5 DSAT Exam View
DSAT Exam 1 - November 5th
(BP ) Stds. not tested on
Days                          Chapters                         (BP ) Stds. tested on DSAT
DSAT
Ch. 1 - Place Value of Whole Numbers                        ( 1 ) NS1.1
Ch. 2 - Place Value of Decimals                        ( 2 ) NS1.5 (decimals)
Ch. 3 - Add & Subtract Whole Numbers                   ( 7 ) NS2.1 (decimals)
Ch. 4 - Add and Subtract Decimals                           ( 3 ) NS2.2
Ch. 5 - Algebra: Use Addition                              ( 1/3 ) SP1.1
47 Days

Ch. 6 - Algebra: Use Multiplication
Ch. 9 - Multiply Whole Numbers
Ch. 10 - Multiply Decimals
Ch. 11 - Divide by 1-Digit Divisors
Ch. 12 - Divide by 2-Digit Divisors
Ch. 13 - Divide Decimals by Whole #'s
Ch. 14 - Divide Decimals by Decimals
20 question exam
Pacing Window - 47 days     Exam Date - Nov. 5th (end of Trimester is Nov. 25th)

DSAT Exam 2 - January 28th
(BP ) Stds. not tested on
Days                          Chapters                         (BP ) Stds. tested on DSAT
DSAT
Ch. 15 - Number Theory                                      ( 5 ) NS1.2                  ( 1 ) NS1.3
Ch. 16 - Fraction Concepts                                  ( 3 ) NS1.4                  ( 1 ) NS2.4
Ch. 18 - Percent                                            ( 5 ) NS2.3                  ( 1 ) NS2.5
Ch. 19 - Add & Subtract Fractions                           ( 6 ) AF1.2                  ( 1 ) AF1.1
44 Days

Ch. 20 - Add & Subtract Mixed Numbers                 ( 2 ) NS1.5 (fract & dec)          ( 1 ) AF1.3
Ch. 21 - Multiply Fractions                            ( 7 ) NS2.1 (int & dec)          ( 1/2 ) SP1.5
Ch. 22 - Divide Fractions
Ch. 23 - Algebra: Integers
Ch. 24 - Geometry & the Coordinate Plane
20 question exam
Pacing Window - 44 days     Exam Date - Jan. 28th (end of Trimester is March 13th)
* Chapter 17 can be taught after the CST

DSAT Exam 3 - April 1st
(BP ) Stds. not tested on
Days                          Chapters                         (BP ) Stds. tested on DSAT
DSAT
Ch. 7 - Analyze Data and Graphs                             ( 4 ) AF1.4               ( 21/2 ) GM1.1
Ch. 8 - Make Graphs                                         ( 5 ) AF1.5                ( 1/2 ) GM1.2
Ch. 25 - Plane Figures                                      ( 3 ) GM1.3                 ( 1 ) GM1.4
43 Days

Ch. 26 - Classify Plane and Solid Figures                   ( 3 ) GM2.1                 ( 1 ) GM2.3
Ch. 29 - Surface Area and Volume                            ( 4 ) GM2.2                 ( 1/3 ) SP1.1
( 21/2 ) SP1.4                ( 1/3 ) SP1.2
( 5 ) NS1.2 (7) NS2.1           ( 1/3 ) SP1.3
( 5 ) NS2.3 (6) AF1.2           ( 1/2 ) SP1.5
30 question exam
Pacing Window - 43 days    Exam Date - Apr. 1st (end of Trimester is June 12th)
* Chapters 27 & 28 can be taught after the CST
DSAT Exam 3 can be given after the CST's to allow for CST prep (site decision); but it is very important that all of
the DSAT 3 exam standards are covered prior to the State testing.
5   NS1.2   Percents
Interpret percents as a part of a hundred.

Find decimal equivalents for common fractions.

Find percent equivalents for common fractions.

Explain why decimal & percent equivalents represent the same value.

Compute a given percent of a whole number.

3   NS1.4   Prime Factorization
Determine the prime factors of all numbers through 50.

Write the prime factors of all numbers through 50 as the product of their prime factors by using exponents to
show multiples of a factor.

7   NS2.1   Decimals
Add decimals & verify reasonableness of results.

Subtract decimals & verify reasonableness of results.

Multiply decimals & verify reasonableness of results.

Divide decimals & verify reasonableness of results.

Add with negative integers & verify reasonableness of results.

Subtract positive integers from negative integers & verify reasonableness of results.

3   NS2.2   Division
Demonstrate proficiency with division.

Demonstrate proficiency with division using decimals.

Demonstrate proficiency with long divisionusing multi-digit divisors.

5   NS2.3   Add/Sub Fractions/Mixed #'s + Word Problems
Solve fraction word problems involving addition with like denominators and reduce answers.

Solve fraction word problems involving addition with unlike denominators and reduce answers.

Solve fraction word problems involving subtraction with like denominators and reduce answers.

Solve fraction word problems involving subtraction with unlike denominators & reduce answers.

Solve word problems involving addition of mixed #'s with like denominators & reduce answers.

Solve word problems involving addition of mixed #'s with unlike denominators & reduce answers.

Solve word problems involving subtraction of mixed #'s with like denominators and reduce answers.

Solve word problems involving subtraction of mixed #'s with unlike denominators & reduce answers.
6   AF1.2   Algebraic Phrases to Equations
Write an equation from an algebraic phrase.
Solve an equation from an algebraic phrase.

4   AF1.4   Graphing/Identify Ordered Pairs
Identify ordered pairs in the Cartesian coordinate plane.
Graph ordered pairs in the Cartesian coordinate plane.

5   AF1.5   Solve & Graph Simple Linear Equations
Solve problems involving linear functions with integer values.
Write the equationof linear functions.
Graph ordered pairs of linear functions on the Cartesian coordinate plane.

3 GM1.3     Volume of Rectangular Solids
Understand the concept of volume.
Use appropriate units in common measuring systems.
Compute the volume of rectangular solids (prisms).

3 GM2.1     Measure, ID, & Draw Geometric Figures
Identify angles.
Identify perpendicular lines.
Identify parallel lines.
Identify rectangles.
Identify triangles.
Measure angles using appropriate measuring tools.
Measure perpendicular lines using appropriate measuring tools.
Measure parallel lines using appropriate measuring tools.
Measure rectangles using appropriate measuring tools.
Measure triangles using appropriate measuring tools.
Draw angles using appropriate drawing tools.
Draw perpendicular lines using appropriate drawing tools.
Draw parallel lines using appropriate drawing tools.
Draw rectangles using appropriate drawing tools.
Draw triangles using appropriate drawing tools.

4 GM2.2     Sum of the Angles: Triangle, Rectangle
Know that the sum of the angles of any triangle is 180°.
Know that the sum of the angles of any quadrilateral is 360°.
Solve problems using the sum of the angles of any triangle is 180°.
Solve problems using the sum of the angles of any quadrilateral is 360°.
DSAT Exam 1
English                                       Spanish
billion                  compare               billion                 comparar
tenth                     digits               décimo                   dígitos
hundreth                  equivalent           centésimo                equivalente
thousandth                whole number           milésimo               número entero
equivalent decimals              sum          decimales equivalentes           suma
expression                 product             expresión                 producto
variable                   factor              variable                   factor
equation                  minuend              ecuación                 minuendo
solution                 subtrahend            solución                sustraendo
Distributive Property           difference      propiedad distributiva         diferencia
multiple                  divisior             múltiplo                  divisor
compatible numbers             dividend      números compatibles             dividendo
equal                    quotient               igual                  cociente
DSAT Exam 2
English                                          Spanish
least common                                   mínimo común
divisible                                        divisible
denominator                                    denominator
least common multiple        mixed numbers      mínimo común múltiplo       números mixtos
greatest common factor           percent        máximo común múltiplo           por ciento
composite number                sequence         número compuesto               secuencia
prime number                  prioritize         número primo                  priorizar
prime factor                 reciprocal          factor primo                recíproco
factorization             positive integer       factorizacíon             entero positivo
factor tree              negative integer     árbol do factores           entero negativo
exponent                 absolute value         exponente                valor absoluto
base number                  opposites           número base                  opuestos
equivalent fractions              y -axis       fracciones equivalentes            eje-y
reduce                coordinate plane          reducir            plano de coordenadas
compare & contrast             coordinate       comparar y contraste           coordenada
simplest form                  origins         forma más simple                origens
DSAT Exam 3
English                                             Spanish
point                    central angle            punto                      ángulo central
ray                       congruent                rayo                       congruente
line                        similar               línea                          similar
plane                   line symmetry              plano                     simetría lineal
angle                rational symmetry            ángulo                   simetría racional
segment                  isosceles triangle        segmento                  triángulo isósceles
parallel                 scalene triangle          paralelo                 triángulo escaleno
perpendicular              equilateral triangle    perpendicular               triángulo equilátero
intersecting                transformation         intersecando                  transformación
polygon                         rotation           polígono                         rotación
rectangle                       pyramid            rectángulo                       piramide
triangle                        prism             triángulo                         prisma
trapezoid                          base            trapezoide                           base
rhombus                        perimeter             rombo                         perímetro
parallelogram                        area          paralelogramo                          área
regular polygon                      height        polígono regular                       altura
circle                          net               círculo                           red
diameter                        volume             diámetro                         volumen
chord                           2D                cuerda                     bidimensional
compass                            3D               compás                      tridimensional
Accelerated Math Supplemental Worksheets
Objective     Title
2     Standard to expanded form (3+ digit)
3     Standard form to word name (3+ digit)
4     Word name to standard form (3+ digit)
7     Order whole numbers (2+ digit)
6     Compare whole numbers (2+ digits)
11     Prime composite numbers
12     Factors of composite numbers
13     Prime factorization
21     Estimate sums, round to greatest (3-5 digit)
31     WP: too much information
32     WP: not enough information
41     Write and evaluate exponents
42     Divide by 1 digit no remainder
43     Divide by 1 digit, remainder
44     WP: divide by 1 - digit
45     Divide by 2 digit
46     WP: divide by 2 digit
47     Divide by multiple of 10
50     WP: 2 step with whole numbers
52     Place value with decimals (to 10 thousand)
55     Order decimals
56     Round decimals
59     Add same-place decimals (to thousandths)
60     Add varied-place decimal (to thousandths)
62     Subtract money expressions
63     WP: Subtract money expressions
66     WP: Subtract decimals
68     WP: Estimate decimal sums, round
70     WP: Estimate decimal differences, round
72     WP: Multiply money expressions by whole numbers
73     Multiply decimals by whole numbers (1-2 digits)
74     Multiply decimals (to thousandths)
75     Multiply decimals by power of 10
76     WP: Multiply decimals
77     Estimate decimal products, round
78     WP: Estimate decimal products, round
79     Divide money expressions by 1-2 digits, whole numbers
80     WP: Divide money expressions
81     Divide decimals by 1 digit whole numbers
82     WP: Divide decimals by whole numbers
90     Mixed numbers to improper fractions
92     Compare fractions
Accelerated Math Supplemental Worksheets

93     Order fractions, like denomiators
94     Order fractions, unlike denominators
98     WP: Add like fractiona and mixed numbers
101     WP: Add unlike fractions and mixed numbers
102     Subtract like fractions
103     Subtract like mixed numbers
104     Subtract unlike fractions
106     Subtract unlike numbers no regroup
107     Subtract mixed numbers, regroup
108     WP: Subtract fractions
109     Multiply fractions
110     Multiply fractions by whole numbers
111     WP: Multiply fractions by whole numbers, fractions
112     Multiply mixed numbers by fractions
113     WP: Multiply mixed numbers by whole numbers fractions
114     Multiply mixed numbers
115     Divide whole numbers by fractions
116     WP: Divide whole number by fractions
131     WP: 2 step with money
133     Intersecting, parallel, perpendicular lines
134     Classify angles
135     Measure angles
136     Identify polygons
142     Count faces, edges, vertices
144     Plot name ordered pairs (first quadrant)
145     Perimeter of rectangles
146     Perimeter of polygons
147     WP: Perimeter
148     Area by counting
149     Area by rectangles
150     Area by parallelograms
151     WP: Area
152     Volume of rectangular prisms and cubes
153     WP: Volume of rectangular solids
154     Identify nets (patterns) of solids
155     Pictographs
156     Bar graphs
157     Line graphs
158     Double bar graphs
Accelerated Math Supplemental Worksheets
159     Double line graphs
160     Circle graphs
163     Means of data sets
164     Medians of data sets
165     Modes of data sets
167     Find possible outcomes
169     Fractions to decimals
170     Decimals to fractions
171     Mixed numbers to decimals
173     Percent of a number
174     WP: Percent of a number
175     Convert decimals and percents
176     Fractions to percents
177     Identify ratios
178     Write ratios and fractions

Cluster 1…NUMBER SENSE 1
1    NS1.1   Estimate & Round
5    NS1.2   Percents
1    NS1.3   Exponents
3    NS1.4   Prime Factorization
2    NS1.5   Number Line

Cluster 2…NUMBER SENSE 2
7    NS2.1   Decimals
3    NS2.2   Division
5    NS2.3   Add/Sub Fractions/Mixed #'s + Word Problems
1    NS2.4   Multiply & Divide Fraction Concepts
1    NS2.5   Multiply & Divide Fractions

Cluster 3…ALGEBRA & FUNCTIONS
1    AF1.1   Interpret Graphs & Equations
6    AF1.2   Algebraic Phrases to Equations
1    AF1.3   Distributive Property
4    AF1.4   Graphing/Identify Ordered Pairs
5    AF1.5   Solve & Graph Simple Linear Equations

Cluster 4…GEOMETRY & MEASUREMENT
2.5   GM1.1 Derive & Calculate Area of Polygons
1/2   GM1.2 Construct & Compute Rectangular Prism Surface Area
3    GM1.3 Volume of Rectangular Solids
1    GM1.4 Area, Perimeter & Volume: Use Correct Units
3    GM2.1 Measure, ID, & Draw Geometric Figures
4    GM2.2 Sum of the Angles: Triangle, Rectangle
1    GM2.3 Draw 2-D Objects from 3-D Figures

Cluster 5…PROBABILITY & STATISTICS
1/3   SP1.1   Mean, median, mode & range
1/3   SP1.2   Histograms & Circle Graphs
1/3   SP1.3   Compare Data Sets (%, Fractions)
2.5   SP1.4   Interpret Data from a Graph
1/3   SP1.5   Writing Ordered Pairs
41
Interpreting Charts, Graphs, Tables Maps...etc..

page                    Title       chapt.sec   page                    Title        chapt.sec

3    School Population            1.1         142    Largest Telescopes
6    Distance form the Sun        1.1         147    Animal Weights                9.2
13    Capital Cities               1.5         149    WingBeats in Flight           9.3
23    Mammals Tails                2.3         153    Most Letters per Month        9.5
25    Power Lunch Menu             2.4         159    Tropical Fish & Supplies      10.1
26    Plant Growth                 2.5         166    Animals in the White House    10.4
27    Animals                      2.5         171    Which Store…Best Buy?         10.6
33    NCAA Basketball              3.1         192    Kid's Favorite Collectibles   11.5
35    World's Largest Desserts     3.2         198    Little League Participants
39    Top-Rated Superbowls         3.4         201    Map                           12.1
43    Horse Populations            Rev         203    Historic Flights              12.2
47    Butterflies                  4.1         206    Pitcher Wins                  12.3
49    Olympic 400-meter Times      4.2         213    World's Rivers                12.6
53    Driest Cities                4.3         215    US Skyscrapers                Rev
55    Indy 500 Winning Times       4.4         225    Kite-making Supplies          13.3
64    California Cities                        229    \$100 at the Carnival          13.5
73    Lengths of Snakes            5.2         240    The Spice Rack                14.3
76    Animal Sleeping Hours        5.3         243    5 Fastest Fish                14.4
83    Largest Wingspan             Rev
91    DVD Player Sales             6.3
99    Folder Covers Purchased      7.1
100   Sign-up for Field Times      7.1
101   Min Students Spent Reading   7.1
103   History Test Scores          7.2
105   Height of 5th Grade          7.3
107   AL Homerun Records           7.4
108-113 All graphs                   7.5
114   Wind Speeds of Hurricanes
116-119 All graphs                   8.1
120   Fund Rasire Choices          8.2
126   Median Precipitation         8.4
127   Bald Eagle Population        8.4
133   Health Club Members          8.6
133   Waterfall Heights            8.6
142   Largest Telescopes
42
Estimate, round, and manipulate very large (e.g., millions) and very small (e.g.,
NS1.1                                                                                            Chapter / Section
thousandths) numbers.
a                                                          Estimate very large numbers. 3.2       9.1    11.1   12.4
b                                                          Estimate very small numbers. 4.2
c                                                            Round very large numbers. 3.1
d                                                            Round very small numbers. 4.1
e                                                       Manipulate very large numbers.
f                                                      Manipulate very small numbers.

Interpret percents as a part of a hundred; find decimal and percent equivalents
NS1.2 for common fractions and explain why they represent the same value; compute a              Chapter / Section
given percent of a whole number.

a                                               Interpret percents as a part of a hundred. 18.1
b                                       Find decimal equivalents for common fractions. 13.5       18.3
c                                        Find percent equivalents for common fractions. 18.3
d                  Explain why decimal & percent equivalents represent the same value. 18.2
e                                          Compute a given percent of a whole number. 18.4        18.5

Understand and compute positive integer powers of nonnegative integers;
NS1.3                                                                                            Chapter / Section
compute examples as repeated multiplication.

a                           Understand positive integer powers of nonnegative integers. 15.6      15.7

b                              Compute positive integer powers of nonnegative integers. 15.6      15.7

c       Compute ex. of positive integer powers of nonnegative integers as repeated mult. 15.6     15.7

Determine prime factors of all numbers through 50 & write the numbers as the
NS1.4 product of their prime factors by using exponents to show multiples of a factor.           Chapter / Section
(e.g., 24 = 2 x 2 x 2 x 3 = 23 x 3)

a                                Determine the prime factors of all numbers through 50. 15.8
Write the prime factors of all numbers through 50 as the product of their prime
b                                                                                         15.8
factors by using exponents to show multiples of a factor.
Identify and represent on a number line decimals, fractions, mixed numbers, &
NS1.5                                                                                            Chapter / Section
positive and negative integers.
a                                                    Identify decimals on a number line. 2.4
b                                                    Identify fractions on a number line. 16.2
c                                             Identify mixed numbers on a number line.     needs supp

d                                            Identify positive integers on a number line. 23.1
e                                            Identify negative integers on a number line. 23.1
f                                                Represent decimals on a number line. 16.5        needs supp

g                                                 Represent fractions on a number line.    needs supp

h                                          Represent mixed numbers on a number line.       needs supp

g                                         Represent positive integers on a number line. 23.2
h                                         Represent negative integers on a number line. 23.2
43
NS2.1 subtract positive integers from negative integers; and verify the reasonableness         Chapter / Section
of the results.
a                                      Add decimals & verify reasonableness of results. 4.3
b                                  Subtract decimals & verify reasonableness of results. 4.4
10.4
c                                 Multiply decimals & verify reasonableness of results. 10.1    10.2   10.3
10.5
14.2
d                                   Divide decimals & verify reasonableness of results. 13.2    13.3   14.1
14.3
e                         Add with negative integers & verify reasonableness of results. 23.3
f Subtract positive integers from negative integers & verify reasonableness of results. 23.4   23.5

Demonstrate proficiency with division, including division with positive decimals
NS2.2                                                                                          Chapter / Section
and long division with multi-digit divisors.
a                                               Demonstrate proficiency with division. 11.2     11.3   12.1   12.3
14.2
b                                Demonstrate proficiency with division using decimals. 13.2     13.3   14.1
14.3
c                  Demonstrate proficiency with long divisionusing multi-digit divisors. 12.5

Solve simple problems, including ones arising in concrete situations, involving
NS2.3 the addition and subtraction of fractions and mixed numbers (like & unlike               Chapter / Section
denominators of 20 or less), and express answers in the simplest form.

Solve fraction problems and word problems involving addition with like
a                                                                                        19.1
Solve fraction problems and word problems involving addition with unlike
b                                                                                        19.2   19.5   19.6
Solve fraction problems and word problems involving subtraction with like
c                                                                                        19.1
Solve fraction problems and word problems involving subtraction with unlike
d                                                                                        19.3   19.5   19.6
Solve problems & word problems involving addition of mixed #'s with like
e
Solve problems & word problems involving addition of mixed #'s with unlike
f                                                                                       20.1   20.4
Solve problems & word problems involving subtraction of mixed #'s with like
g
Solve problems & word problems involving subtraction of mixed #'s with unlike
h                                                                                        20.2   20.3   20.4
NS2.4 Understand the concept of multiplication and division of fractions.

a                                 Understand the concept of multiplication of fractions. 21.1   21.2

b                                       Understand the concept of division of fractions. 22.1   22.4

Compute and perform simple multiplication and division of fractions and apply
NS2.5                                                                                          Chapter / Section
these procedures to solving problems.

a                              Compute problems involving multiplication of fractions. 21.1     21.2   21.3   21.4

b                                    Compute problems involving division of fractions. 22.1     22.3   22.4

c                         Compute word problems involving multiplication of fractions. 21.2     21.3   21.4

d                               Compute word problems involving division of fractions. 22.1     22.3   22.4
44
Use information taken from a graph or equation to answer questions about a
AF1.1                                                                                            Chapter / Section
problem situation.
6.3              18.6
a                                                 Interpret a graph to solve a problem.   8.4
7.4 7.5
18.7
24.3

b                                             Interpret an equation to solve a problem. 5.2

Use a letter to represent an unknown number; write and evaluate simple
AF1.2                                                                                            Chapter / Section
algebraic expressions in one variable by substitution.

a                                          Write an equation from an algebraic phrase. 5.1        5.2      5.3    6.1 6.2

b                                          Solve an equation from an algebraic phrase. 5.1        5.2      5.3    6.1 6.2

Know and use the distributive property in equations and expressions with
AF1.3                                                                                            Chapter / Section
variables.

a                                                      Know the distributive property. 6.4

b                       Use the distributive property to solve equations & expressions. 6.4

AF1.4 Identify and graph ordered pairs in the four quadrants of the coordinate plane.            Chapter / Section

a                              Identify ordered pairs in the Cartesian coordinate plane. 8.3      24.2

b                                Graph ordered pairs in the Cartesian coordinate plane. 8.3       24.2     26.3

Solve problems involving linear functions with integer values; write the
AF1.5                                                                                            Chapter / Section
equation; and graph the resulting ordered pairs of integers on a grid.

a                        Solve problems involving linear functions with integer values. 24.3

b                                                Write the equationof linear functions. 24.3

c             Graph ordered pairs of linear functions on the Cartesian coordinate plane. 24.3

Derive and use the formula for the area of a triangle and of a parallelogram by
comparing it with the formula for the area of a rectangle (i.e., two of the same
GM1.1 triangles make a parallelogram with twice the area; a parallelogram is                     Chapter / Section
compared with a rectangle of the same area by cutting and pasting a right
triangle on the parallelogram).
Derive the formula for the area of a triangle by comparing it with the formula for
a                                                                                       28.5
the area of a rectangle.
Derive the formula for the area of a parallelogram by comparing it with the formula
b                                                                                       28.6
for the area of a rectangle.
c                                         Use the formula to find the area of a triangle. 28.5

d                                   Use the formula to find the area of a parallelogram. 28.6

Construct a cube and rectangular box from two-dimensional patterns and use
GM1.2                                                                                            Chapter / Section
these patterns to compute the surface area for these objects.

a                                     Construct a cube from two-dimensional patterns. 29.1
b                                                  Compute the surface area of a cube. 29.2
c                          Construct a rectangular box from two-dimensional patterns. 29.1
d                                       Compute the surface area of a rectangular box. 29.2
45

Understand the concept of volume and use the appropriate units in common
GM1.3 measuring systems (i.e., cubic centimeter [cm3], cubic meter [m3], cubic inch             Chapter / Section
[in3], cubic yard [yd3]) to compute the volume of rectangular solids.

a                                                   Understand the concept of volume. 29.3
b                                 Use appropriate units in common measuring systems. 29.3        29.4
c                                  Compute the volume of rectangular solids (prisms). 29.3       29.4

Differentiate between, and use appropriate units of measures for, two-and three-
GM1.4                                                                                           Chapter / Section
dimensional objects (i.e., find the perimeter, area, volume).
28.5
a                                                                           Find Area. 28.3      28.4   28.6
29.4

b                                                                      Find Perimeter. 28.1      28.4   29.4
c                                                                        Find Volume. 29.3       29.4
d                              Differentiate units between area, perimeter, and volume. 28.4     29.4
28.3   28.5
e                   Use appropriate units of measures for area, perimeter, and volume. 28.1      28.4   28.6
29.4

Measure, identify, and draw angles, perpendicular and parallel lines, rectangles,
GM2.1 and triangles by using appropriate tools (e.g., straightedge, ruler, compass,             Chapter / Section
protractor, drawing software).

a                                                                      Identify angles. 25.1

b                                                         Identify perpendicular lines. 25.1

c                                                                Identify parallel lines. 25.1

d                                                                  Identify rectangles. 26.2

e                                                                    Identify triangles. 26.1

f                                   Measure angles using appropriate measuring tools. 25.2

g                       Measure perpendicular lines using appropriate measuring tools.

h                             Measure parallel lines using appropriate measuring tools.

i                               Measure rectangles using appropriate measuring tools.

j                                 Measure triangles using appropriate measuring tools.

k                                        Draw angles using appropriate drawing tools. 25.1       25.2

l                            Draw perpendicular lines using appropriate drawing tools. 25.1

m                                   Draw parallel lines using appropriate drawing tools. 25.1

n                                     Draw rectangles using appropriate drawing tools.

o                                      Draw triangles using appropriate drawing tools. 26.1

Know that the sum of the angles of any triangle is 180° and the sum of the
GM2.2
angles of any quadrilateral is 360° and use this information to solve problems.

a                              Know that the sum of the angles of any triangle is 180°.
b                         Know that the sum of the angles of any quadrilateral is 360°.
c                   Solve problems using the sum of the angles of any triangle is 180°. 25.3     26.1
d              Solve problems using the sum of the angles of any quadrilateral is 360°.
46
Visualize and draw two-dimensional views of three-dimensional objects made
GM2.3                                                                                            Chapter / Section
from rectangular solids.

a                                   Draw 2-D views of 3-D rectangular solids (prisms). 26.5

Know the concepts of mean, median, and mode; compute and compare simple
SP1.1                                                                                            Chapter / Section
examples to show that they may differ.

a                                                           Know the concepts of mean. 7.2
b                                                                       Compute mean. 7.2
c                                                        Know the concepts of median. 7.3
d                                                                     Compute median. 7.3
e                                                           Know the concepts of mode. 7.3
f                                                                       Compute mode. 7.3
g          Compare simple examples to show that mean, median and mode may differ. 7.3

Organize & display single-variable data in appropriate graphs and
SP1.2 representations (e.g., histogram, circle graphs) and explain which types of                Chapter / Section
graphs are appropriate for various data sets.

Organize single-variable data in appropriate graphs and representations.(e.g.,
a                                                                                        7.1    8.4    8.5     8.6
histogram, circle graphs)
Display single-variable data in appropriate graphs and representations(e.g.,
b                                                                                        7.1    7.4    8.4    8.5 8.6
histogram, circle graphs)
c                   Explain which types of graphs are appropriate for various data sets. 7.5    8.6

SP1.3 Use fractions and percentages to compare data sets of different sizes.                     Chapter / Section

a                                  Use fractions to compare data sets of different sizes.
b                               Use percentages to compare data sets of different sizes. 18.7

Identify ordered pairs of data from a graph and interpret the meaning of the
SP1.4                                                                                            Chapter / Section
data in terms of the situation depicted by the graph.

a                                          Identify ordered pairs of data from a graph . 8.3    24.3

b        Interpret the meaning of the data in terms of the situation depicted by a graph.

SP1.5 Know how to write ordered pairs correctly; ie, ( x, y ).                                   Chapter / Section
a                                   Write ordered pairs correctly; for example, ( x, y ). 8.3   24.1   24.2

Analyze problems by identifying relationships, distinguishing relevant from
MR1.1 irrelevant information, sequencing and prioritizing information, and observing             Chapter / Section
patterns.

a                                       Analyze problems by identifying relationships.
b             Analyze problems by distinguishing relevant from irrelevant information.
c                        Analyze problems by sequencing and prioritizing information.
d                                              Analyze problems by observing patterns.
47

MR1.2 Determine when and how to break a problem into simpler parts.                             Chapter / Section
a                                Determine when to break a problem into simpler parts

b                                 Determine how to break a problem into simpler parts

MR2.1 Use estimation to verify the reasonableness of calculated results.

MR2.2 Apply strategies and results from simpler problems to more complex problems.

Use a variety of methods, such as words, numbers, symbols, charts, graphs,
MR2.3                                                                                           Chapter / Section
tables, diagrams, and models, to explain mathematical reasoning.

a                          Use a variety of methods to explain mathematical reasoning.

Express the solution clearly and logically by using the appropriate mathematical
MR2.4 notation and terms and clear language; support solutions with evidence in both            Chapter / Section
verbal and symbolic work.

Express the solution clearly and logically by using the appropriate mathematical
a
notation and terms.
b                    Express the solution clearly and logically by using clear language.

c                                 Support solutions with evidence in both verbal work.

d                                 Support solutions with evidence in both verbal work.

Indicate the relative advantages of exact and approximate solutions to problems
MR2.5                                                                                           Chapter / Section
and give answers to a specified degree of accuracy.

a                        Indicate the relative advantages of exact solutions to problems

b                 Indicate the relative advantages of approximate solutions to problems

c                                       Give answers to a specified degree of accuracy.
Make precise calculations and check the validity of the results from the context
MR2.6                                                                                           Chapter / Section
of the problem.
a                                                            Make precise calculations.

b                     Check the validity of the results from the context of the problem.

Evaluate the reasonableness of the solution in the context of the original
MR3.1
situation.
Note the method of deriving the solution and demonstrate a conceptual
MR3.2                                                                                           Chapter / Section
understanding of the derivation by solving similar problems.
a                                             Note the method of deriving the solution.
Demonstrate a conceptual understanding of the derivation of a solution by solving
b
similar problems.
Develop generalizations of the results obtained and apply them in other
MR3.3                                                                                           Chapter / Section
circumstances.
a                                      Develop generalizations of the results obtained.
b                           Apply generalizations of the results in other circumstances.
48
5th Grade Standards Covered in each Chapter
pg ch/sec        std               pg ch/sec      std       pg   ch/sec        std        pg ch/sec          std
2  1.1         extra             144 9.1       NS1.1 *    280    16.1        extra       416 23.1          NS1.5
4  1.2       4th grade           146 9.2      3rd grade   284    16.2       NS1.5        420 23.2          NS1.5
10  1.4       4th grade           150 9.4        extra     290    16.4      3rd grade     426 23.4          NS2.1
12  1.5          MR               152 9.5         MR       294    16.5        extra       428 23.5          NS2.1
296    16.6         MR         432 23.6           MR
18    2.1       extra             158   10.1    NS2.1
20    2.2       extra             160   10.2    NS2.1      302   17.1       6th grade     438   24.1   AF1.5, SP1.5
22    2.3       extra             162   10.3    NS2.1      304   17.2       6th grade     440   24.2   AF1.4, SP1.5
24    2.4       NS1.5             164   10.4    NS2.1      306   17.3       6th grade     444   24.3    AF1.1, AF1.5, SP1.4

26    2.5        MR               168   10.5    NS2.1      308   17.4       7th grade     448   24.4          MR
170   10.6     MR        310   17.5          MR
32    3.1       NS1.1                                                                     454   25.1       GM2.1
34    3.2      NS1.1 *            182   11.1    NS1.1      316   18.1        NS1.2        458   25.2       GM2.1
36    3.3     3rd grade           184   11.2    NS2.2      318   18.2        NS1.2        460   25.3       GM2.2
38    3.4       extra             186   11.3    NS2.2      320   18.3        NS1.2        464   25.4      4th grade
40    3.5        MR               188   11.4   4th grade   324   18.4        NS1.2        468   25.5        extra
190   11.5    AF1.2      328   18.5        NS1.2        470   25.6        extra
46    4.1       NS1.1             194   11.6      MR       330   18.6        AF1.1        472   25.7         MR
48    4.2       NS1.1                                      332   18.7     AF1.1, SP1.3
50    4.3       NS2.1             200   12.1    NS2.2                                     478   26.1   GM2.1, GM2.2
54    4.4       NS2.1             202   12.2    extra      344   19.1        NS2.3        482   26.2   GM2.1, GM2.2
56    4.5        MR               204   12.3    NS2.2      346   19.2        NS2.3        484   26.3      AF1.4
208   12.4    NS1.1      348   19.3        NS2.3        486   26.4     4th grade
68    5.1     AF1.2               210   12.5    NS2.2      350   19.4        extra        490   26.5      GM2.3
72    5.2   AF1.1, AF1.2          212   12.6     MR        352   19.5        NS2.3        492   26.6        MR
74    5.3     AF1.2                                        354   19.6        NS2.3
78    5.4    6th grade            218   13.1    extra      358   19.7         MR          504   27.1      4th grade
80    5.5       MR                220   13.2    NS2.2                                     506   27.2      4th grade
222   13.3    NS2.2      364   20.1        NS3.2        508   27.3      4th grade
86    6.1       AF1.2             226   13.4     MR        368   20.2        NS3.2        512   27.4      4th grade
88    6.2       AF1.2             228   13.5    NS1.2      370   20.3        NS2.3        514   27.5      4th grade
90    6.3       AF1.1                                      372   20.4        NS2.3        516   27.6        extra
92    6.4       AF1.3             234   14.1    NS2.2      374   20.5         MR          518   27.7         MR
236   14.2    NS2.2
98   7.1        SP1.2            238   14.3    NS2.2      380   21.1      NS2.4 NS2.5    524   28.1      GM1.4
102   7.2        SP1.1            242   14.4     MR        382   21.2      NS2.4, NS2.5   526   28.2     6th grade
104   7.3        SP1.1                                     384   21.3        NS2.5        528   28.3      GM1.4
106   7.4        SP1.1            254   15.1     extra     386   21.4        NS2.5        530   28.4      GM1.4
108   7.5        SP1.1            256   15.2   6th grade   388   21.5         MR          532   28.5   GM1.1, GM1.4
258   15.3   6th grade                                  536   28.6   GM1.1, GM1.4
116   8.1        extra            262   15.4      MR       394   22.1      NS2.4, NS2.5   540   28.7        MR
120   8.2        extra            264   15.5     extra     396   22.2        extra
122   8.3   AF1.4, SP1.4, SP1.5   266   15.6    NS1.3      398   22.3       NS2.5         546   29.1     GM1.2
124   8.4   AF1.1, SP1.2          268   15.7    NS1.3      400   22.4     NS2.4, NS2.5    548   29.2     GM1.2
128   8.5      SP1.2              272   15.8    NS1.4      404   22.5         MR          552   29.3   GM1.3, GM1.4
130   8.6      SP1.2                                                                      556   29.4   GM1.3, GM1.4
558   29.5       MR

49

1    NS1.1 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.

Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why
5    NS1.2
they represent the same value; compute a given percent of a whole number.
Understand and compute positive integer powers of nonnegative integers; compute examples as repeated
1    NS1.3
multiplication.
Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by
3    NS1.4
using exponents to show multiples of a factor (e.g., 24 = 2 x 2 x 2 x 3 = 23 x 3).

2    NS1.5 Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative
7    NS2.1
integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long division with multidigit
3    NS2.2
divisors.

Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of
5    NS2.3
fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.

1    NS2.4 Understand the concept of multiplication and division of fractions.

1    NS2.5 Compute and perform simple multiplication and division of fractions and apply these procedures to solving problems.

1    AF1.1 Use information taken from a graph or equation to answer questions about a problem situation.

Use a letter to represent an unknown number; write and evaluate simple algebraic expressions in one variable by
6    AF1.2
substitution.

1    AF1.3 Know and use the distributive property in equations and expressions with variables.

4    AF1.4 Identify and graph ordered pairs in the four quadrants of the coordinate plane.

Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered
5    AF1.5
pairs of integers on a grid.

Derive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the
2.5   GM1.1 area of a rectangle (i.e., two of the same triangles make a parallelogram with twice the area; a parallelogram is
compared with a rectangle of the same area by cutting and pasting a right triangle on the parallelogram).

Construct a cube and rectangular box from two-dimensional patterns and use these patterns to compute the surface
0.5   GM1.2
area for these objects.

Understand the concept of volume and use the appropriate units in common measuring systems (i.e., cubic centimeter
3    GM1.3
[cm3], cubic meter [m3], cubic inch [in3], cubic yard [yd3]) to compute the volume of rectangular solids.

Differentiate between, and use appropriate units of measures for, two-and three-dimensional objects (i.e., find the
1    GM1.4
perimeter, area, volume).
50

Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate
3    GM2.1
tools (e.g., straightedge, ruler, compass, protractor, drawing software).

Know that the sum of the angles of any triangle is 180° and the sum of the angles of any quadrilateral is 360° and use
4    GM2.2
this information to solve problems.

1    GM2.3 Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids.

0.33   SP1.1    Know the concepts of mean, median, and mode; compute and compare simple examples to show that they may differ.

Organize and display single-variable data in appropriate graphs and representations (e.g., histogram, circle graphs)
0.33   SP1.2
and explain which types of graphs are appropriate for various data sets.

SP1.3    Use fractions and percentages to compare data sets of different sizes.

Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of the situation depicted by
2.5   SP1.4
the graph.
0.33   SP1.5    Know how to write ordered pairs correctly; for example, ( x, y ).

Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and
MR1.1
prioritizing information, and observing patterns.

MR1.2 Determine when and how to break a problem into simpler parts.

MR2.1 Use estimation to verify the reasonableness of calculated results.

MR2.2 Apply strategies and results from simpler problems to more complex problems.
Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain
MR2.3
mathematical reasoning.
Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear
MR2.4
language; support solutions with evidence in both verbal and symbolic work.
Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified
MR2.5
degree of accuracy.
MR2.6 Make precise calculations and check the validity of the results from the context of the problem.

MR3.1 Evaluate the reasonableness of the solution in the context of the original situation.
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving
MR3.2
similar problems.
MR3.3 Develop generalizations of the results obtained and apply them in other circumstances.

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