FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
NUMBER AND OPERATIONS
Aug 5.1.a. Demonstrate number sense by AMSTI Building on 4.1.a. Demonstrate number sense, compare, ARMT
comparing whole numbers through millions. the Numbers You number sense by expand, whole number Mult. Choice - 4
Know - Inv 2; comparing whole Gridded - 0
Open-Ended - 0
Mathematical numbers to 999,999.
STANFORD
Thinking - Inv 4;
MPS 5,9 pg. 112
Name That Portion -
Inv 1, 3, 4; Ten-
Minute Math;
Measurement
Benchmarks - Inv 1,
2 Harcourt
Math: pp. 10-15,
Aug 5.1.b. Demonstrate number sense by 21
Harcourt Math: 4.1.b. Demonstrate order, greater than, less ARMT
ordering whole numbers through millions. pp. 10-15, 21 number sense by than Mult. Choice - 4
ordering whole numbers Gridded - 0
Open-Ended - 0
to 999,999.
STANFORD
MPS 5,9 pg. 112
Aug 5.1.c. Demonstrate number sense by Harcourt Math: 4.5.a. Round whole round ARMT
rounding whole numbers through millions . pp. 38-39 numbers to the nearest Mult. Choice - 4
ten, hundred, or Gridded - 0
Open-Ended - 0
thousand.
STANFORD
MPS 7 pg. 112
Aug 5.1.d. Demonstrate number sense by Harcourt Math: 4.1.B.2. Write a number expand ARMT
expanding whole numbers through millions. pp. 4-7 in expanded notation Mult. Choice - 4
through the hundred- Gridded - 0
Open-Ended - 0
thousands
STANFORD
MPS 2 pg. 112
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 1
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Aug 5.1.e. Demonstrate number sense by Harcourt Math: 4.1.c. Demonstrate compare, least, greatest to ARMT
comparing decimals to thousandths. pp. 26-29 number sense by least, least to greatest, Mult. Choice - 4
comparing decimals to closest, expanded form, Gridded - 0
Open-Ended - 0
hundredths. greatest value, least value,
STANFORD
greater than, >, less than, , less than,
STANFORD
<, equal to , =
MPS 5,9 pg.
112
Aug 5.1.f. Demonstrate number sense by Harcourt Math: 4.1.d. Demonstrate ARMT
ordering decimals to thousandths. pp. 28-29 number sense by Mult. Choice -
ordering decimals to 4 Gridded -
0 Open-
hundredths.
Ended - 0
STANFORD
MPS 5,9 pg.
112
Aug 5.1.c. Demonstrate number sense by Harcourt Math: 4.5.a. Round whole round ARMT
rounding whole numbers through millions . pp. 38-39 numbers to the nearest Mult. Choice -
ten, hundred, or 4 Gridded -
0 Open-
thousand.
Ended - 0
STANFORD
MPS 7 pg. 112
Aug 5.1.g. Demonstrate number sense by Harcourt Math: 4.5.b. Round decimals to ARMT
rounding decimals to thousandths. pp. 40-41 the nearest tenth. Mult. Choice -
4 Gridded -
0 Open-
Ended - 0
STANFORD
MPS 7 pg. 112
Aug 5.2.B.3.a. Demonstrate computational fluency Harcourt Math: 3.2.B.2.a. Demonstrate STANFORD
with addition of whole numbers pp. 37, 46-47, 52-computational fluency in MPS 1-2 p.
addition 112
55
Aug 5.2.B.3.b. Demonstrate computational fluency Harcourt Math: 3.2.B.2.b. Demonstrate STANFORD
with subtraction of whole numbers pp. 37, 46-47, 52-computational fluency in MP 3-4 p. 114
55 subtraction
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 18
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Aug 5.2.a. Solve problems involving basic AMSTI Building 4.6. Solve problems, operation, whole number, ARMT
operations on whole numbers, including addition on Numbers you including word problems, seven-digit number, Mult. Choice -
of seven-digit numbers. Know - Inv 1, 2, that involve addition of combined total, including 2 Gridded -
1 Open-
3, 4, 5; four-digit numbers with tax, not including tax,
Ended - 1
Mathematical and without regrouping. table, chart, exactly,
STANFORD
Thinking - Inv 1, about, at least
MPS 14,15 p.
2, 3, 4; Name
112 MP 1,2 p.
That Portion - Inv 114
1, 4' Picturing
Polygons - Inv 1,
2, 3; Ten-Minute
Math;
Measurement
Benchmarks - Inv
1, 3
Aug 5.2.b. Solve problems involving basic 4.6. Solve problems, ARMT
operations on whole numbers, including including word problems, Mult. Choice -
subtraction of seven-digit numbers. that involve subtraction 2 Gridded -
1 Open-
of four-digit numbers
Ended - 1
with and without
STANFORD
regrouping.
MPS 14,15 p.
112 MP 3,4 p.
114
Aug 5.3.a. Solve word problems that involve alex: Comparing decimal, at least, not more ARMT
decimals. Modes of than, table, chart Mult. Choice -
Transportation 6 Gridded -
0 Open-
AMSTI
Ended - 1
Measurement
AHSGE
Benchmarks - Inv 3
VII-8 p.70
Harcourt Math: pp. Solve problems
48-51 involving
algebraic
concepts.
STANFORD
MPS 14,15 p.
112 MP 9-
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 19
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Aug 5.3.c. Solve word problems that involve alex: Let's Go money, tax included, not ARMT
money. Shopping!; Clickety, including tax, Mult. Choice -
Clack, Let's Keep 6 Gridded -
0 Open-
Track!
Ended - 1
Books: Math Man
AHSGE
by Teri Daniels
VII-8 p.70
Website: Solve problems
www.teridanielsboo involving
ks.com/mathman.ph algebraic
p?guide=true concepts.
STANFORD
MPS 14,15 p.
112 MP 9-
Aug 5.7. Write a number sentence for a AMSTI 4.9. Write number number sentence, each, all ARMT
problem expressed in words. Mathematical sentences for word together, combined Mult. Choice -
Thinking at Grade problems that involve 4 Gridded -
0 Open-
5 - Inv 2, 3, 4; multiplication or division.
Ended - 0
Name That
AHSGE
Portion; Ten-
VI-1, pg. 45
Minute Math;
Translate
Building on verbal or
Numbers You Know symbolic
- Inv 1, 2, 3, 5 information into
Books: Math Curse algebraic
by Jon Scieszka expressions; or
and Lane Smith identify
Harcourt Math: equations or
inequalities
pp. 64-69, 246-
that represent
249
graphs or
problem
situations.
STANFORD
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 20
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Aug 5.6.a. Demonstrate the commutative AMSTI 1.6.b. Solve problems commutative, associative, & ARMT
property of addition of whole numbers. Mathematical using the commutative identity properties of Mult. Choice -
Thinking at Grade property of addition. addition & subtraction, 4 Gridded -
0 Open-
5 - Inv 2, 3; expression, difference,
Ended - 0
Building on whole number, parentheses
STANFORD
Numbers You Know
MPS 10 p. 112
- Inv 1, 2, 3;
Measurement
Benchmarks; Ten-
Minute Math
Books: The
Grapes of Math by
Greg Tang
Harcourt Math:
pp. 76-79
Website: www.k-
state.edu/smartbo
oks/Lesson053.htm
l
Aug 5.6.b. Demonstrate the associative property Harcourt Math: 2.6. Solve problems associative property of ARMT
of addition of whole numbers. pp. 76-79 using the associative addition Mult. Choice -
property of addition. 4 Gridded -
0 Open-
Ended - 0
STANFORD
MPS 10 p. 112
Aug 5.6.c. Demonstrate the identity property of Harcourt Math: 1.6.a. Solve problems identity property of ARMT
addition of whole numbers. pp. 76-79 using the identity addition Mult. Choice -
property of addition. 4 Gridded -
0 Open-
Ended - 0
STANFORD
MPS 10 p. 112
Sept 5.14.B.2. Use given measures of central alex: Playing STANFORD
tendency (mean, median, and mode) to analyze Games; Fly Away MPS 26 p. 113
data with Averages
Sept 5.14. Analyze data collected from a survey or AMSTI Name analyze, data, experiment, ARMT
experiment to distinguish between what the That Portion - Inv distinguish, account, Mult. Choice -
data show and what might account for the 4; Measurement possible reasons, 0 Gridded -
0 Open-
results. Benchmarks - Inv probability, survey,
Ended - 2
2 Harcourt experiment, table, chart
AHSGE
Math: pp. 130-
VII-5, pg. 61
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 21
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Sept 5.14.B.1. Evaluate different representations of Harcourt Math: STANFORD
the same data to determine how well each pp. 130-132 MPS 24 p. 113
representation shows important aspects of the
data
Sept 5.2.B.1.a. Estimate products Harcourt Math: 4.7.B.1. Estimate STANFORD
pp. 148-149, 156-products of whole MPS 8,16 p.
157 numbers by using 112
appropriate strategies
such as rounding, front-
end estimation, and
Sept 5.2.c. Solve problems involving basic Harcourt Math: 4.7.a. Solve problems, multiplier ARMT
operations on whole numbers, including pp. 150-155 including word problems, Mult. Choice -
multiplication with two-digit multipliers. involving the basic 2 Gridded -
1 Open-
operation of
Ended - 1
multiplication on whole
STANFORD
numbers through two-
MPS 14,15 p.
digit multipliers. 112 MP 5,6 p.
114
Sept 5.2.B.3.c. Demonstrate computational Harcourt Math: 4.7.B.3.a. Demonstrate STANFORD
fluency with multiplication of whole numbers pp. 150-155 computational fluency in MP 5-6 p. 114
multiplication fact families
through 12
Oct 5.2.B.1.b. Estimate quotients Harcourt Math: 4.7.B.1. Estimate STANFORD
pp. 192-193, 210-quotients of whole MPS 8,16 p.
211 numbers by using 112
appropriate strategies
such as rounding, front-
end estimation, and
compatible numbers.
Oct 5.2.d. Solve problems involving basic Harcourt Math: 4.7.b. Solve problems, divisor ARMT
operations on whole numbers, including pp. 194-199, 212-
including word problems, Mult. Choice -
involving the basic 2 Gridded -
division with two-digit divisors. 221 operation of division on
1 Open-
whole numbers through
one-digit divisors. Ended - 1
STANFORD
MPS 14,15 p.
112 MP 7,8 p.
114
Oct 5.2.B.3.d. Demonstrate computational fluency Harcourt Math: 4.7.B.3.b. Demonstrate STANFORD
with division of whole numbers pp. 194-199
computational fluency in MP 7-8 p. 114
division fact families
through 12
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 22
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Oct 5.1.B.1. Relate percents to parts out of Harcourt Math: percent, equivalent STANFORD
100 by using equivalent fractions and pp. 238-239, 328- fraction MPS 2 pg. 112
decimals 331, 632-639
Oct 5.6.d. Demonstrate the commutative alex: Factorize commutative property of ARMT
property of multiplication of whole numbers. Harcourt Math: multiplication Mult. Choice -
pp. 258-259 4 Gridded -
0 Open-
Ended - 0
STANFORD
MPS 10 p. 112
Oct 5.6.e. Demonstrate the associative Harcourt Math: Associative property of ARMT
property of multiplication of whole numbers. pp. 258-259 multiplication Mult. Choice -
4 Gridded -
0 Open-
Ended - 0
STANFORD
MPS 10 p. 112
Oct 5.6.f. Demonstrate the identity property Harcourt Math: identity property of ARMT
of multiplication of whole numbers. pp. 258-259 multiplication Mult. Choice -
4 Gridded -
0 Open-
Ended - 0
STANFORD
MPS 10 p. 112
Oct 5.2.B.2. Determine divisibility by 2, 3, 4, 5, 6, Harcourt Math: STANFORD
9 and 10 pp. 276-277 MPS 13 p. 112
Oct 5.4.B.3. Solving problems using least common Harcourt Math: STANFORD
multiples pp. 282-283 MPS 13 p. 112
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 23
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Nov 5.4.B.1. Change mixed numbers to improper Harcourt Math: 4.3.b. Rename mixed STANFORD
fractions pp. 320-321 numbers as improper MPS 6 p. 112
fractions.
Nov 5.4.a. Determine the sum of fractions with AMSTI Name 4.4.a. Demonstrate common denominators, sum, ARMT
common denominators. That Portion - Inv
addition of fractions with
reduce fraction Mult. Choice-4
common denominators. Gridded - 2
2, 3 Harcourt
Open-Ended -0
Math: pp. 346-
Nov 5.4.c. Determine the difference of fractions Harcourt Math: 4.4.b. Demonstrate difference ARMT
with common denominators. pp. 346-347 subtraction of fractions Mult. Choice-4
with common Gridded - 2
denominators.
Open-Ended -0
Nov 5.4.b. Determine the sum of fractions with Harcourt Math: 4.4.a. Demonstrate uncommon denominators, ARMT
uncommon denominators. pp. 348-351, 368-addition of fractions with Mult. Choice-4
common denominators. Gridded - 2
371, 376-377
Open-Ended -0
Nov 5.4.d. Determine the difference of fractions Harcourt Math: 4.4.b. Demonstrate AHSGE
ARMT
with uncommon denominators. pp. 348-351, 372-
subtraction of fractions Mult. Choice-4
with common Gridded - 2
377
Nov 5.4.B.4.a. Estimate sums of fractions Harcourt Math: denominators.
3.2.B.1. Estimate sums STANFORD
pp. 352-353
by using MPS 8 p. 112
Nov 5.4.B.4.b. Estimate differences of Harcourt Math: STANFORD
fractions pp. 352-353 MPS 8 p. 112
Nov 5.4.B.2.a. Solve problems involving addition Harcourt Math: pp. STANFORD
of fractions with common denominators 354-355 MPS 14,15 p. 112
Nov 5.4.B.2.c. Solve problems involving Harcourt Math: STANFORD
subtraction of fractions with common pp. 354-355 MPS 14,15 p.
denominators 112
Nov 5.4.B.2.b. Solve problems involving addition Harcourt Math: STANFORD
of fractions with uncommon denominators pp. 356-359 MPS 14,15 p.
112
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 24
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Nov 5.4.B.2.d. Solve problems involving Harcourt Math: STANFORD
subtraction of fractions with uncommon pp. 356-359 MPS 14,15 p.
denominators 112
Nov 5.3.b. Solve word problems that involve Books: Funny & fraction, fractional part, ARMT
fractions. Fabulous Fraction what fraction of Mult. Choice -
Stories by Dan 6 Gridded -
0 Open-
Greenberg
Ended - 1
Harcourt Math:
AHSGE
pp. 372-373,
VII-8 p.70
375, 377
Solve problems
involving
algebraic
concepts.
STANFORD
MPS 14,15 p.
112 MP 17-
Dec 5.8.B.1. Identify angles as right, obtuse, Harcourt Math: right, obtuse, acute, right, STANFORD
acute, or straight pp. 428-431 straight angles MPS 32 p. 113
Dec 5.8.a. Identify regular polygons. alex: GeoPicture 4.11.a. Identify regular polygon, rotated, ARMT
AMSTI Picturing triangles, sides, angles Mult. Choice -
Polygons - Inv 1,2 quadrilaterals, 3 Gridded -
0 Open-
, 3 Harcourt pentagons, hexagons, or
Ended - 0
Math: pp. 434- octagons based on the
AHSGE
437 number of sides,
VII-1, pg. 48
angles, and vertices.
Apply
properties of
angles and
relationships
between
angles.
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 25
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Dec 5.10. Identify the center, radius, and alex: Bu- Bu- center, radius, diameter, ARMT
diameter of a circle. Bubbles! line segment, point, circle Combined with
AMSTI Name previous
standard
That Portion - Inv
AHSGE
1, 2,3, 4
IV-1, pg. 30
Harcourt Math:
Find the
pp. 438-441
perimeter,
circumference,
area, or volume
of geometric
figures.
VII-4, pg. 57
Apply
properties of
plane and solid
geometric
figures.
STANFORD
Dec 5.8.b. Identify congruent polygons. Harcourt Math: pp. congruent polygon, ARMT Mult.
442-445, 517 Choice - 3
Gridded - 0
Open-Ended - 0
AHSGE
VII-1, pg. 48
Apply
properties of
angles and
relationships
between angles.
STANFORD
Dec 5.8.B.3. Identify figures that have Harcourt Math: rotational symmetry STANFORD
rotational symmetry pp. 446-447 MPS 32 p. 113
Dec 5.8.B.2. Classify triangles as equilateral, Harcourt Math: equilateral, isosceles, STANFORD
isosceles, or scalene pp. 456-459 scalene triangles MPS 32 p. 113
Dec 5.8.B.4. Predict the results of a flip Alex: Exploting 4.11.B.1. Demonstrate flip, turn, slide, reflection, STANFORD
(reflection), turn (rotation), or slide Flips and Slides slides (translations), flips
rotation, translation MPS 30 p. 113
(reflections), and turns
(translation) Harcourt Math: (rotations) using triangles,
pp. 462-465 quadrilaterals, pentagons,
hexagons, or octagons
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 26
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Jan 5.5. Identify numbers less than zero by alex: "Integers, 4.3.B.1. Use a number number line, thermometer, ARMT
extending the number line. Less Than Zero" line to simplify, compare, degree, º, negative Mult. Choice -
and order fractions.
AMSTI numbers, positive numbers, 3 Gridded -
0 Open-
Mathematical Fahrenheit, Celsius, extend
Ended - 0
Thinking at Grade
5 - Inv 1;
Picturing Polygons -
Inv 1, 2
Books: Less Than
Zero by Stuart J.
Murphy; Less Than
Nothing is Really
Something by
Robert Froman
Harcourt Math:
pp. 480-483
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 27
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Jan 5.9. Identify components of the Cartesian alex: Introduction 4.12.b. Find locations on Cartesian plane, x-axis, y- ARMT
plane, including the x-axis, y-axis, origin, and to the Cartesian a grid using ordered pairs. axis, origin, quadrant, Mult. Choice-4
quadrants. Coordinate Plane locate, point of Gridded - 0
Jan 5.13.a. Convert a larger unit of measurement AMSTI convert, unit ARMT
to a smaller unit of measurement within the Measurement measurement, system of Mult. Choice -
same system (customary). Benchmarks - Inv measurement, cup, pint, 3 Gridded -
1 Open-
1, 2, 3 Books: quart, gallon, inches, feet,
Ended - 0
Me and the yards, miles
Measure of Things
by Joan Sweeney
Harcourt Math:
pp. 528-535
Jan 5.13.b. Convert a larger unit of Harcourt Math: pp. kilogram, grams, ARMT
measurement to a smaller unit of 528-535 centimeter, meter, etc. Mult. Choice -
measurement within the same system 3 Gridded -
1 Open-
(metric).
Ended - 0
Jan 5.3.B.1. Solve word problems involving Harcourt Math: pp. STANFORD
elapsed time 536-538 MPS 39 p. 113
Jan 5.11.a. Estimate perimeter of irregular AMSTI 4.14.B.1.a. Estimate perimeter, area, units, ARMT
shapes using unit squares and grid paper. Mathematical perimeter of irregular square units, grid paper Mult. Choice -
Thinking at Grade shapes using unit squares 3 Gridded -
0 Open-
5 - Inv 1; and grid paper
Ended - 0
Picturing Polygons -
STANFORD
Inv 3; Containers
MPS 34 p. 113
and Cubes - inv 1,
2, 3
Harcourt Math:
pp. 547-549
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 28
FIFTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING
Jan 5.12. Calculate the perimeter of rectangles AMSTI Picturing calculate, dimensions, ARMT
from measured dimensions. Polygons - Inv 1 perimeter, metric & Mult. Choice -
Harcourt Math: customary units of 2 Gridded -
1 Open-
pp. 550-551 measurement
Ended - 0
AHSGE
IV-1, pg. 30
See above
VII-4, pg. 57
Apply
properties of
plane and solid
geometric
figures.
Feb 5.11.b. Estimate area of irregular shapes Harcourt Math: 4.14.B.1.b. Estimate ARMT
using unit squares and grid paper. pp. 561-563 area of irregular Mult. Choice -
shapes using unit 3 Gridded -
0 Open-
squares and grid paper
Ended - 0
STANFORD
MPS 34 p. 113
Feb 5.15. Use common fractions to represent alex: Probability 4.16. Determine if common fraction, ARMT
the probability of events that are neither Paper Bags outcomes of simple probability of events, Mult. Choice -
certain nor impossible. Books: My Little events are likely, certain, impossible, 3 Gridded -
1 Open-
Sister Ate One unlikely, certain, random, express answer as
Ended - 0
Hare by Bill equally likely, or a fraction
AHSGE
Grossman impossible.
VII-6, pg. 48
Harcourt Math:
Determine
pp. 656-659 probabilities.
Website: www.k- STANFORD
state.edu/smartbo MPS 29 p. 113
oks/Lesson035.htm
l
MPS - Math Problem Solving MP - Math Procedures 11/23/2011 29