# 6th - Math WM Pacing Guide by qingyunliuliu

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```									        Wilbur D. Mills Curriculum Alignment
We have noted which SLEs have been assessed on prior 6th Grade Math Exams, but would caution teachers to
Benchmark Exams X= unleased items         pay close attention to all SLEs since others may be included in future exams. Also, those not appropriate to   1st     2nd   3rd   4th
paper-pencil exams provide the foundation for testable items.
SLE                                                                                                                    Qtr     Qtr   Qtr   Qtr
2006     2007 2008                                                               Number Operations
Demonstrate conceptual understanding to find a specific percent of a number using models, real-life
E      11,15            NO.1.1   examples, or explanations.                                                                                              X

Find decimal and percent equivalents for proper fractions and explain why they represent the same value.
2             NO.1.2                                                                                                                           X

NO.1.3   Round and compare decimals to a given place value including thousandths.                                           X
Convert, compare, and order fractions (mixed numbers and improper fractions), decimals, and percents,
3, 17      28      X      NO.1.4   and find their approximate locations on a number line.                                                             X

NO.1.5   Recognize and identify perfect squares and their square roots.                                                     X

3      NO.2.1   Use divisibility rules to determine if a number is a factor of another number.                                     X
Apply the distributive property of multiplication over addition to simplify computations with whole
33        20             NO.2.2   numbers.                                                                                                                     X
Apply the addition, subtraction, multiplication and division properties of equality to one-step equations
NO.2.3   with whole numbers.                                                                                                          X

NO.2.4   Apply rules for order of operations to whole numbers with and without parentheses.                                           X

Model multiplication and division of fractions and decimals using pictures and physical objects.
NO.2.5                                                                                                                      X
Apply with and without, appropriate technology, algorithms with conputational fluency to perform whole
E             NO.3.1   number operations.                                                                                                      ongoing

Develop and analyze algorithms for computing with fractions (including mixed numbers) and decimals,
and demonstrate, with/without technology, computational fluency in their use, and justify the solution.
21        22             NO.3.2                                                                                                                  X

24        31             NO.3.3   Solve, with/without technology, multi-step problems using a variety of methods and tools.                               ongoing

Estimate reasonable solutions to problem situations involving fractions and decimals.
18                       NO.3.4                                                                                                                           X
Find and use factorization (tree diagram), including prime factorization of composite numbers (expanded
and exponential notation), to determine the greatest common factor (GCF) and least common multiple
9, 30      40             NO.3.5   (LCM).                                                                                                             X
Use proportional reasoning and ratios to represent problem situations and determine the
38               10, X   NO.3.6   reasonableness of solutions, with and without technology. (unit rates)                                                  X

X, X    NO.3.7   Determine the percent of a number and solve related problems in real world situations.                                  X

Algebra
Solve problems by finding the next term or missing term in a pattern or function table, using real-world
14, D       9             A.4.1    situations.                                                                                                                  X
6, 21,
Interpret and write an algebraic rule for a one-operation function table.
30     X      A.4.2                                                                                                                                 X

28, 31,                              Model, write, and solve one-step equations by informal methods, using manipulatives and appropriate
39       3, 36    7               technology.
A.5.1                                                                                                                                 X
11,
2, 16             X,X,X   A.5.2    Write simple algebraic expressions, using appropriate operations with one variable                                           X

Evaluate algebraic expressions with one variable using appropriate properties and operations.
X      A.5.3                                                                                                                                 X
Complete, with and without appropriate technology, and interpret tables and line graphs that represent
26      1      A.6.1    the relationship between two variables in quadrant 1.                                                                        X

13       16, A    4               Identify and compare situations with constant or varying rates of change.
A.7.1                                                                                                                                 X

WDMESC 9-08                                               Based on WAESC Document                                                                               1
Geometry
8, 10,                                 Identify three-dimensional geometric figures, using models (rectangular prisms, cylinders, cones,
20 34    1, 13     X        G.8.1    pyramids, and spheres).                                                                                                        X
12,X,               Investigate, with manipulatives or grid paper, what happens to the perimeter and area of a two-
A                 X        G.8.2    dimensional shape when the dimensions are changed.                                                                             X
Identify, describe, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse,
26     25, 32              G.8.3    and equiangular.                                                                                                               X
Draw, label and determine relationships among the radius, diameter, center and circumference of a
17, B     X        G.8.4    circle.                                                                                                                        X

G.8.5    Identify similar figures and explore their properties.                                                                         X

Identify and describe line and rotational symmetry in two-dimensional shapes, patterns and designs.
7       8        G.9.1                                                                                                                                   X
Describe positions and orientations of shapes under transformation (translation, reflection, and rotation),
25       35       X        G9.2     recognizing the size and shape do not change.                                                                              X

39                         Use ordered pairs to plot points in Quadrant 1
G.10.1                                                                                                                               X

X                 Plot points that form the vertices of a geometric figure and draw, identify and classify the figure
G.10.2                                                                                                                               X
Identify two-dimensional patterns for three-dimensional solids, such as prisms, pyramids, cylinders, and
X       G.11.1    cones.                                                                                                                     X

Measurement
5       5       M.12.1    Identify and select appropriate units and tools from both systems to measure.                                          X
6, 11,
M.12.2     Make conversions within the same measurement system In real-world problems.
15, 22    10, D                                                                                                                                              X
M.12.3    Compare and contrast the differences among linear units, square units, and cubic units.                                X

M.12.4    Determine which unit of measure or measurement tool matches the context for a problem situation.
?

2, X     M.13.1    Solve real world problems involving one elapsed time, counting forward and backward.                                   X

M.13.2     Determine which unit of measure or measurement tool matches the context for a problem situation.
27        8                                                                                                                                                X

5                         M.13.3     Draw and measure distance to the nearest mm and 1/8 inch accurately.                                                  X

4, 36,   18, 35,            M.13.4     Establish and apply formulas to find area and perimeter of triangles, rectangles, and parallelograms.
40, B      38       X                                                                                                                                                X

27               M.13.5    Find the distance between two points on a number line.                                                                 X
Use estimation to check the reasonableness of measurements obtained from the use of various
M.13.6
29       24       X                 instruments (including angle measures).                                                                                X

Data Analysis & Probability
Formulate questions, design studies, and collect data about a characteristic shared by two populations or
DAP.14.1
different characterisitcs within one population.                                                                 X
Collect data and select appropriate graphical representations to display the data, including Venn
DAP.14.2
1         4       X               diagrams.                                                                                                        X

DAP.14.3 Construct and interpret graphs, using correct scale, including line graphs and double-bar graphs.
14, C                                                                                                                                      X

32       29              DAP.15.1 Interpret graphs such as double line graphs and circle graphs.                                                   X

12, 23,                      Compare and interpret information provided by measures of central tendencies (mean, median, and
DAP.15.2
19, 35   33        6,X,X            mode) and measures of spread (range).                                                                            X

DAP.16.1 Use observations about differences in data to make justifiable inferences
23      19                                                                                                                                        X
7, 12,
37, C     37       9      DAP.17.1    Distinguish between theoretical and experimental probability.
X   X

WDMESC 9-08                                                 Based on WAESC Document                                                                       2
Western AR Alignment Overview

Benchmark tested        SLE                                Description                                1st Qtr   2nd Qtr   3rd Qtr   4th Qtr
2006         2007                             Number Operations
Demonstrate conceptual understanding to find a specific percent
of a number using models, real-life examples, or explanations.
E          11,15      NO.1.1                                                                                     X
Find decimal and percent equivalents for proper fractions and
2       NO.1.2   explain why they represent the same value.                                        X
Round and compare decimals to a given place value including
NO.1.3   thousandths.                                                                      X
Convert, compare, and order fractions (mixed numbers and
improper fractions), decimals, and percents, and find their
3, 17          28       NO.1.4   approximate locations on a number line.                                           X
Recognize and identify perfect squares and their square roots.
NO.1.5                                                                                               X
Use divisibility rules to determine if a number is a factor of
NO.2.1   another number.                                                         X
Apply the distributive property of multiplication over addition to
33            20       NO.2.2   simplify computations with whole numbers.                                          ongoing
Apply the addition, subtraction, multiplication and division
properties of equality to one-step equations with whole numbers.
NO.2.3                                                                                               X
Apply rules for order of operations to whole numbers with and
NO.2.4   without parenthese.                                                                         X
Model multiplication and division of fractions and decimals using
NO.2.5   pictures and physical objects.                                                    X
Apply with and without, appropriate technology, algorithms with
conputational fluency to perform whole number operations.
E       NO.3.1                                                                                      ongoing
Develop and analyze algorithms for computing with fractions
(including mixed numbers) and decimals, and demonstrate,
with/without technology, computational fluency in their use, and
21            22       NO.3.2   justify the solution.                                                              ongoing
Solve, with/without technology, multi-step problems using a
24            31       NO.3.3   variety of methods and tools.                                                      ongoing
Estimate reasonable solutions to problem situations involving
18                     NO.3.4   fractions and decimals.                                                           X
Find and use factorization (tree diagram), including prime
factorization of composite numbers (expanded and exponential
notation), to determine the greatest common factor (GCF) and
9, 30          40       NO.3.5   lease common multiple (LCM).                                            X
Use proportional reasoning and ratios to represent problem
situations and determine the reasonableness of solutions, with
38                     NO.3.6   and without technology. (unit rates)                                                        X
Determine the percent of a number and solve related problems
NO.3.7   in real world situations.                                                         X

Benchmark tested        SLE                                Description                                1st Qtr   2nd Qtr   3rd Qtr   4th Qtr
2006         2007                                    Algebra
Solve problems by finding the next term or missing term in a
14, D           9       A.4.1    pattern or function table, using real-world situations.                                     X
Inerpret and write an algebraic rule for a one-operation function
6, 21, 30   A.4.2    table.                                                                                      X
Model, write, and solve one-step equations by informal
28, 31, 39       3, 36     A.5.1    methods, using manipulatives and appropriate technology.                                    X
Write simple algebraic expressions, using appropriate
2, 16                   A.5.2    operations with one variable                                                                X
Evaluate algebraic expressions with one variable using
A.5.3    appropriate properties and operations.                                                      X
Complete, with and without appropriate technology , and
interpret tables and line graphs that represent the relationship
26       A.6.1    between two variables in quadrant 1.                                                        X
Identify and compare situations with constant or varying rates of
13           16, A     A.7.1    change.                                                                                     X

Benchmark tested        SLE                                Description                                1st Qtr   2nd Qtr   3rd Qtr   4th Qtr
2006         2007                                   Geometry
Identify three-dimensional geometric figures, using models
(rectangular prisms, cylinders, cones, pyramids, and spheres).
8, 10, 20 34     1, 13     G.8.1                                                                                                          X
Western AR Alignment Overview

Investigate, with manipulatives or grid paper, what happens to
the perimeter and area of a two-dimensional shape when the
A                        G.8.2       dimensions are changed.                                                                               X
Identify, describe, draw, and classify triangles as equilateral,
26          25, 32       G.8.3       isosceles, scalene, right, acute, obtuse, and equiangular.                                            X
Draw, label and determine relationships among the radius,
17, B       G.8.4       diameter, center and circumference of a circle.                                                       X
G.8.5       Identify similar figures and explore their properties.                                                X
Idntify and describe line and rotational symmetry in two-
7         G.9.1       dimensional shapes, patterns and designs.                                                             X
Describe positions and orientations of shapes under
transformation (translation, reflection, and rotation), recognizing
25            35          G9.2       the size and shape do not change.                                                                     X
39         G.10.1      Use ordered pairs to plot points in Quadrant 1                                                        X
Plot points that form the vertices of a geometric figure and draw,
G.10.2      identify and classify the figure                                                                      X
Identify two-dimensional patterns for three-dimensional solids,
G.11.1      such as prisms, pyramids, cylinders, and cones.                                                       X

Benchmark tested           SLE                                    Description                               1st Qtr   2nd Qtr   3rd Qtr   4th Qtr
2006          2007                                      Measurement
5         M.12.1
Identify and select appropriate units and tools from both systems to measure.                      X
Make conversions within the same measurement system In real-
6, 11, 15, 22     10, D       M.12.2      world problems.                                                                             X
Compare and contrast the differences among linerar units,
M.12.3      square units, and cubic units.                                                              X
Determine which unit of measure or measurement tool matches
M.12.4      the context for a problem situation.                                                        X
Solve real world problems involving one elapsed time, counting
M.13.1      forward and backward.                                                                       X
Determine which unit of measure or measurement tool matches
27             8         M.13.2      the context for a problem situation.                                                        X
Draw and measure distance to the nearest mm and 1/3 inch
5                        M.13.3      accurately.                                                                                 X
Establish and apply formulas to find area and perimeter of
4, 36, 40, B 18, 35, 38       M.13.4      triangles, rectangles, and parallelograms.                                                            X
27           M.13.5      Find the distance between two points on a number line.                                      X
Use estimation to check the reasonableness of measurements
obtained from the use of various instrument s(including angle
29            24         M.13.6      measures).                                                                                  X

Benchmark tested           SLE                                    Description                               1st Qtr   2nd Qtr   3rd Qtr   4th Qtr
2006          2007                              Data Analysis & Probability
Formulate questions, design studies, and collect data about a
characteristic shared by two populations or different
DAP.14.1     characterisitcs within one population.                                  X
Collect data and select appropriate graphical representations to
display the data, including Venn diagrams.
1              4        DAP.14.2                                                                              X
Construct and interpret graphs, using correct scale, including
14, C      DAP.14.3     line graphs and double-bar graphs.                                       X
Interpret graphs such as double line graphs and circle graphs.
32            29        DAP.15.1                                                                              X
Compare and interpret information provided by measures of
central tendencies (mean, median, and mode) and measures of
19, 35       12, 23, 33   DAP.15.2     spread (range).                                                          X
Use observations about differences in data to make justifiable
23            19        DAP.16.1     inferences                                                               X
Distinguish between theoretical and experimental probability.
7, 12, 37, C       37        DAP.17.1                                                                              X

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