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FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

NUMBER AND OPERATIONS
AUG 4.1.a. Demonstrate number sense by AMSTI Landmarks 3.1.a. Demonstrate greater than, less than, ARMT
comparing whole numbers to 999,999. in the Thousands - Inv number sense by greatest, least, more Mult. Choice-4
1, 2, 3, 4; Arrays and comparing whole than, >, < , =, compare, Gridded-0
Shares - Inv 1; numbers through 9999. tenths, hundredths, Open-Ended-0
Packages and Groups - expanded form, chart STANFORD
Inv 2; Different MPS #5, pg.
Shapes, Equal Pieces - 92
Inv 1; Sunken Shops
and Grid Patterns -
Inv 1
Harcourt Math: p.

AUG 4.1.b. Demonstrate number sense by 20-23, 93
Harcourt Math: pp. 3.1.b. Demonstrate order, first, second, ARMT
ordering whole numbers to 999,999. 24-27 number sense by third, etc. Mult. Choice-4
ordering whole numbers Gridded-0
through 9999. Open-Ended-0
STANFORD
MPS #5, pg.
92
FEB 4.1.c. Demonstrate number sense by Harcourt Math: pp. ARMT
comparing decimals to hundredths. 566-567, 572-577 Mult. Choice-4
Gridded-0
Open-Ended-0
STANFORD
MPS #5, pg.
92
FEB 4.1.d. Demonstrate number sense by Harcourt Math: pp. ARMT
ordering decimals to hundredths. 572-577 Mult. Choice-4
Gridded-0
Open-Ended-0
STANFORD
MPS #5, pg.
92

MPS - Math Problem Solving MP - Math Procedures 1 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

FEB 4.1.B.1.a. Identify a number when given a Harcourt Math: p. 2.1.1. Demonstrate STANFORD
pictorial representation of tenths and 564-572, 583 concepts of number MPS #4, pg.
hundredths sense by using multiple 92
representations of
whole numbers up to
1000.
AUG 4.1.B.1.b. Identify a number when given groups Harcourt Math: pp. 2.1.1. Demonstrate
of ones, tens, hundreds, and thousands 20, 25 concepts of number
sense by using multiple
representations of
whole numbers up to
1000.
AUG 4.1.B.2. Write a number in expanded notation Harcourt Math: 3.1.B.4. Determine the expanded notation STANFORD
through the hundred-thousands p. 6 - 9 value of a number MPS #3,8 pg.
Website: written in expanded 92
www.uen.org/lessonpla notation to the ten-
n/upload/11108-2- thousands place.
14946-
expanded_notation_ca
rds.pdf
AUG 4.1.B.3.a. Determine the place value of a digit Books: Millions of 3.1.B.2. Identify the place value, digit STANFORD
in a whole number through the hundred- Cats by Wanda Gag place value of any digit MPS #1, pg. 92
thousands Harcourt Math: pp. within a four-digit
2-5, 86 number.
FEB 4.1.B.3.b. Determine the place value of a digit Harcourt Math: pp. STANFORD
in a decimal to the hundredths 560-565 MPS #8, pg.
92
FEB 4.2.a. Write money amounts in words. need additional number words, dollar, $, ARMT
resources decimal point, ., cent, Mult. Choice-2
numerical form, value Gridded-1
Open-Ended-0
STANFORD
MPS #3, pg.
92

MPS - Math Problem Solving MP - Math Procedures 2 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

FEB 4.2.b. Write money amounts in dollar-and- need additional 2.4.B.2. Apply ARMT
cent notation. resources monetary symbols , Mult. Choice-2
including dollar ($), Gridded-1
cent (¢), and decimal Open-Ended-0
point. STANFORD
MPS #3, pg.
92
FEB 4.2.B.1. Identify equivalent units of money Books: If You Made a 2.4.B.1. Exchange coins equivalent STANFORD
Million by David M. of equivalent value. MPS #40, pg.
Schwartz 93
JAN 4.3.a. Rename improper fractions as mixed AMSTI Different denominator, ARMT
numbers. Shapes, Equal Pieces - numerator, mixed Mult. Choice-3
Inv 1, 2, 3 number, proper Gridded-0
Harcourt Math: pp. fractions, improper Open-Ended-0
458-461 fractions, has the same STANFORD
Website: value, equivalent MPS #8, pg.
www.kidsolr.com/math 92
/fractions.html
Select Improper &
Mixed Numbers
JAN 4.3.b. Rename mixed numbers as improper Harcourt Math: pp. ARMT
fractions. 458-461 Mult. Choice-3
Gridded-0
Open-Ended-0
STANFORD
MPS #8, pg.
92
JAN 4.3.B.1.a. Use a number line to simplify Harcourt Math: p. 3.1.B.3.b. Locate a four- number line, simplify
fractions 452-455 digit number on a
Website: number line.
www.visulafractions.co
m/RenameLowest.html

MPS - Math Problem Solving MP - Math Procedures 3 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.3.B.1.b. Use a number line to compare Harcourt Math: pp. 3.1.B.3.b. Locate a four- STANFORD
fractions 452-455 digit number on a MPS #5, pg.
Website: number line. 92
www.visualfractions.co
m/Compare.html
JAN 4.3.B.1.c. Use a number line to order fractions Harcourt Math: pp. 3.1.B.3.b. Locate a four- STANFORD
452-455 digit number on a MPS #5, pg.
Website: number line. 92
www.bgfl.org/bgfl/cus
tom/resources_ftp/ks
2/maths/fractions/lev
el4.htm
FEB 4.3.B.1.d. Use a number line to simplify mixed Harcourt Math: pp. 3.1.B.3.b. Locate a four-
numbers 568-571 digit number on a
Website: number line.
www.visualfractions.co
m/MixedFraction.html
FEB 4.3.B.1.e. Use a number line to compare mixed Harcourt Math: pp. 3.1.B.3.b. Locate a four- STANFORD
numbers 568-571 digit number on a MPS #5, pg.
number line. 92
FEB 4.3.B.1.f. Use a number line to order mixed Harcourt Math: pp. 3.1.B.3.b. Locate a four- STANFORD
numbers 568-571 digit number on a MPS #5, pg.
number line. 92
JAN 4.3.B.2. Write equivalent forms of fractions Harcourt Math: p. 3.5. Model equivalent STANFORD
448-451 fractions with concrete MPS #8, pg.
Website: objects or pictorial 92
www.visualfractions.co representations.
m/RenameHigher.html

MPS - Math Problem Solving MP - Math Procedures 4 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.4.a. Demonstrate addition of fractions ASMTI combined amount, ARMT
with common denominators. Different Shapes, equation, numerator, Mult. Choice-4
Equal Pieces - Inv 1, 2 denominator, what Gridded-0
Harcourt Math: p. fraction of Open-Ended-0
468-471 STANFORD
MP #'s 13-14
pg. 94
AHSGE
I-2, pg. 11
Add and
subtract
polynomials
JAN 4.4.b. Demonstrate subtraction of fractions Harcourt Math: pp. ARMT
with common denominators. 472-473 Mult. Choice-4
Gridded-0
Open-Ended-0
STANFORD
MP #'s 15-16
pg. 94
AHSGE
I-2, pg. 11
Add and
subtract
polynomials
AUG 4.5.a. Round whole numbers to the nearest AMSTI Packages and 3.1.B.5.a. Round whole nearer hundred, ARMT
ten, hundred, or thousand. Groups - Inv 2 numbers to the nearest thousand, tenth, Mult. Choice-3
Harcourt Math: p. ten and hundred. hundredth, about how Gridded-1
30-33 many, estimate, round Open-Ended-0
STANFORD
MPS #10, pg.
92
FEB 4.5.b. Round decimals to the nearest Harcourt Math: pp. 3.1.B.5.b. Round money nearer tenth ARMT
tenth. 584-585 values to the nearest Mult. Choice-3
dollar. Gridded-1
Open-Ended-0

MPS - Math Problem Solving MP - Math Procedures 5 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.6.a. Solve problems, including word AMSTI Landmarks in 3.2.a. Solve addition including tax, without ARMT
problems, that involve addition of four-digit the Thousands - Inv 1, problems, including word tax, total, chart, table, Mult. Choice-3
numbers without regrouping. 2, 3, 4 problems, involving two- combined Gridded-1
and three-digit numbers
Harcourt Math: p. Open-Ended-1
without regrouping.
39-43, 48-57 STANFORD
MPS #'s 14,
15, 16 pg. 92
MP #'s 1, 2 pg.
93
AHSGE
VII-8, pg. 70
Solve problems
involving
algebraic
AUG 4.6.b. Solve problems, including word Harcourt Math: pp. 3.2.b. Solve addition concepts.
ARMT
problems, that involve addition of four-digit 48-57 problems, including word Mult. Choice-3
numbers with regrouping. problems, involving two- Gridded-1
and three-digit numbers
Open-Ended-1
with regrouping.
STANFORD
MPS #'s 14,
15, 16 pg. 92
MP #'s 1, 2 pg.
93
AHSGE
VII-8, pg. 70
Solve problems
involving
algebraic
concepts.

MPS - Math Problem Solving MP - Math Procedures 6 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.6.c. Solve problems, including word Harcourt Math: pp. 3.2.c. Solve subtraction difference ARMT
problems, that involve subtraction of four- 48-57 problems, including word Mult. Choice-3
digit numbers without regrouping. problems, involving two- Gridded-1
and three-digit numbers
Open-Ended-1
without regrouping.
STANFORD
MPS #'s 14,
15, 16 pg. 92
MP #'s 3, 4 pg.
93
AHSGE
VII-8, pg. 70
Solve problems
involving
algebraic
AUG 4.6.d. Solve problems, including word Harcourt Math: pp. 3.2.d. Solve subtraction concepts.
ARMT
problems, that involve subtraction of four- 48-57 problems, including word Mult. Choice-3
digit numbers with regrouping. problems, involving two- Gridded-1
and three-digit numbers
Open-Ended-1
with regrouping.
STANFORD
MPS #'s 14,
15, 16 pg. 92
MP #'s 3, 4 pg.
93
AHSGE
VII-8, pg. 70
Solve problems
involving
algebraic
AUG 4.6.B.1.a. Estimate sums of whole numbers by Harcourt Math: p. 3.2.B.1.c. Estimate rounding concepts.
STANFORD
using appropriate strategies such as rounding 43-47 sums by rounding. MPS #13, pg.
92

MPS - Math Problem Solving MP - Math Procedures 7 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.6.B.1.b. Estimate sums of whole numbers by Books: Estimation by 3.2.B.1.b. Estimate front-end estimation STANFORD
using appropriate strategies such as front-end Barbara McGrath sums by using front-end MPS #13, pg.
estimation Harcourt Math: pp. estimation. 92
43 - 47
AUG 4.6.B.1.c. Estimate sums of whole numbers by Harcourt Math: pp. 3.2.B.1.a. Estimate compatible numbers STANFORD
using appropriate strategies such as compatible 43 - 47 sums by using MPS #13, pg.
numbers compatible numbers. 92
AUG 4.6.B.1.d. Estimate differences of whole Harcourt Math: pp. 3.2.B.1.f. Estimate STANFORD
numbers by using appropriate strategies such 44-47 differences by using MPS #13, pg.
as rounding rounding. 92
AUG 4.6.B.1.e. Estimate differences of whole Harcourt Math: pp. 3.2.B.1.e. Estimate STANFORD
numbers by using appropriate strategies such 44-47 differences by using MPS #13, pg.
as front-end estimation front-end estimation. 92
AUG 4.6.B.1.f. Estimate differences of whole Harcourt Math: pp. 3.2.B.1.d. Estimate STANFORD
numbers by using appropriate strategies such 44-47 differences by using MPS #13, pg.
as compatible numbers compatible numbers. 92
FEB 4.6.B.2.a. Add decimals Harcourt Math: p. STANFORD
588-589, 592-595 MP # 9, 10, 11,
12 pg. 93
FEB 4.6.B.2.b. Subtract decimals Harcourt Math: pp. STANFORD
590-595 MP # 9, 10, 11,
12 pg. 93
FEB 4.6.B.2.c. Add money amounts alex: Pigs and Money STANFORD
Books: Pigs Will be MPS #40 pg.
Pigs by Amy Axelrod 93
Harcourt Math: pp. MP # 9, 10, 11,
592-595 12 pg. 93
FEB 4.6.B.2.d. Subtract money amounts alex: Changes in 3.6 Use coins to make STANFORD
Change change to $1.00. MPS #40 pg.
Harcourt Math: pp. 93
592-595 MP # 9, 10, 11,
12 pg. 93

MPS - Math Problem Solving MP - Math Procedures 8 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

OCT 4.7.a. Solve problems, including word AMSTI Landmarks 3.3.B.1. b. Apply product, fact families, ARMT
problems, involving the basic operation of in the Thousands - Inv concepts of equal groups/ number, Mult. Choice-4
multiplication on whole numbers through two- 1, 2, 3; Ten-Minute multiplication through equally, each Gridded-0
digit multipliers. Math; Arrays and the use of number Open-Ended-1
Shares - Inv 1, 2, 3; stories. STANFORD
Packages and Groups - MPS #'s 14, 15
Inv 1, 2, 3 ,16 pg. 92
Harcourt Math: p. MP #'s 5, 6
218-227, 236-237, pg. 93
240-241, 244-245,
251-263, 268-269,

NOV 4.7.b. Solve problems, including word 360-361
Harcourt Math: pp. 3.4. Divide whole quotient ARMT
problems, involving the basic operation of 277-289, 295, 298- numbers using two-digit Mult. Choice-4
division on whole numbers through one-digit 309, 360-361 dividends and one-digit Gridded-0
divisors. divisors. Open-Ended-1
STANFORD
MPS #'s 14, 15
,16 pg. 92
MP #'s 7, 8
pg. 93
OCT 4.7.B.1.a. Estimate products of whole numbers Harcourt Math: p. 3.2.B.1.c. Estimate about how many, STANFORD
by using appropriate strategies such as 216-217, 242-243 sums by rounding. estimate, round MPS #13, pg.
rounding 92
OCT 4.7.B.1.b. Estimate products of whole numbers Harcourt Math: pp. 3.2.B.1.b. Estimate STANFORD
by using appropriate strategies such as front- 242-243 sums by using front-end MPS #13, pg.
end estimation estimation. 92
OCT 4.7.B.1.c. Estimate products of whole numbers Harcourt Math: pp. 3.2.B.1.a. Estimate STANFORD
by using appropriate strategies such as 216-217, 242-243 sums by using MPS #13, pg.
compatible numbers compatible numbers. 92
NOV 4.7.B.1.d. Estimate quotients of whole numbers Harcourt Math: pp. 3.2.B.1.f. Estimate STANFORD
by using appropriate strategies such as 296-297 differences by using MPS #13, pg.
rounding rounding. 92

MPS - Math Problem Solving MP - Math Procedures 9 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

NOV 4.7.B.1.e. Estimate quotients of whole numbers Harcourt Math: pp. 3.2.B.1.e. Estimate STANFORD
by using appropriate strategies such as front- 296-297 differences by using MPS #13, pg.
end estimation front-end estimation. 92
NOV 4.7.B.1.f. Estimate quotients of whole numbers Harcourt Math: pp. 3.2.B.1.d. Estimate STANFORD
by using appropriate strategies such as 296-297 differences by using MPS #13, pg.
compatible numbers compatible numbers. 92
SEPT 4.7.B.2. Identify information needed to Harcourt Math: p. 1.2.B.1. Solve simple STANFORD
determine the appropriate operation to solve a 176-177, 478-479 word problems using a MPS #9, pg.
problem variety of strategies 92
and distinguishing
between relevant and
irrelevant information.
SEPT 4.7.B.3.a. Demonstrate computational fluency Harcourt Math: p. 3.2.B.2.a. Demonstrate STANFORD
in multiplication fact families through 12 162-173, 213-215 computational fluency in MP # 5, 6 pg.
addition. 93
SEPT 4.7.B.3.b. Demonstrate computational fluency Books: A Remainder 3.2.B.2.b. Demonstrate STANFORD
in division fact families through 12 of One by Elinor computational fluency in MP # 7, 8 pg.
Pinczes subtraction. 93
Harcourt Math: pp.
164-173
FEB 4.8. Recognize equivalent forms of AMSTI Different 3.5. Model equivalent equivalent, what ARMT
commonly used fractions and decimals. Shapes, Equal Pieces - fractions with concrete fraction of, same value Mult. Choice-4
Inv 1, 2 objects or pictorial as Gridded-0
Harcourt Math: p. representations. Open-Ended-0
568-571 STANFORD
MPS #8, pg.
92

MPS - Math Problem Solving MP - Math Procedures 10 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

ALGEBRA

SEPT 4.9.a. Write number sentences for word AMSTI Arrays and number sentence, ARMT
problems that involve multiplication. Shares - Inv 2; individually Mult. Choice-4
Packages and Groups -
Inv 3 Gridded-0
Harcourt Math: p. 176- Open-Ended-0
177 STANFORD
MPS #12, pg.
92
MP #'s 6 pg.
93
AHSGE
VII-8, pg. 70
Solve problems
involving
algebraic
SEPT 4.9.b. Write number sentences for word Harcourt Math: pp. concepts.
ARMT
problems that involve division. 176-177 Mult. Choice-4
Gridded-0
Open-Ended-0
STANFORD
MPS #12, pg.
92
MP #'s 8 pg.
93
AHSGE
VII-8, pg. 70
Solve problems
involving
algebraic
concepts.

MPS - Math Problem Solving MP - Math Procedures 11 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.10.a. Complete addition number sentences AMSTI Landmarks in number sentence, ARMT
with a missing addend. the Thousands -Inv 2 addend, value of χ Mult. Choice-3
Harcourt Math: pp.
63, 69 Gridded-1
Open-Ended-0
STANFORD
MPS #6, pg.
92
MP #'s 1, 3 pg.
AUG 4.10.b. Complete subtraction number need additional subtrahend ARMT
sentences with a missing subtrahend. resources Mult. Choice-3
Gridded-1
Open-Ended-0
STANFORD
MPS #6, pg.
92
MP #'s 1, 3 pg.
93

MPS - Math Problem Solving MP - Math Procedures 12 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

GEOMETRY

DEC 4.11.a. Identify triangles, quadrilaterals, alex: ABC's of 2.8.a. Describe triangle, quadrilateral, ARMT
pentagons, hexagons, or octagons based on Geometry attributes of two- pentagon, hexagon, Mult. Choice-4
the number of sides. AMSTI Different dimensional (plane) octagon, side, outside Gridded-0
Shapes, Equal Pieces - figures using the terms edge Open-Ended-0
Inv 1; Sunken Ships - side, vertex, and angle. AHSGE
Inv 2; Seeing Solids VII-4, pg. 57
and Silhouettes - Inv Apply
2; properties of
Harcourt Math: p. plane and solid
380 - 381 geometric
Website: figures.
strader.cehd.tamu.edu
/Mathematics/Geomet
ry/PolygonLesson/iden
tify.html ;
www.learner.org/chann
el/courses/learningma
th/geometry/session3
DEC 4.11.b. Identify triangles, quadrilaterals, alex: Capturing 2.8.a. Describe angle ARMT
pentagons, hexagons, or octagons based on Polygons attributes of two- Mult. Choice-4
the number of angles. Harcourt Math: pp. dimensional (plane) Gridded-0
380-381 figures using the terms Open-Ended-0
side, vertex, and angle. AHSGE
VII-4, pg. 57
Apply
properties of
plane and solid
geometric
figures.

MPS - Math Problem Solving MP - Math Procedures 13 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.11.c. Identify triangles, quadrilaterals, Website: 2.8.a. Describe vertices, vertex ARMT
pentagons, hexagons, or octagons based on www.teachersnetwork. attributes of two- Mult. Choice-4
the number of vertices. org/readysettech/poly dimensional (plane) Gridded-0
gons.htm figures using the terms Open-Ended-0
side, vertex, and angle. AHSGE
VII-4, pg. 57
Apply
properties of
plane and solid
geometric
figures.
DEC 4.11.B.1.a. Demonstrate slides (translations) Harcourt Math: p. 2.8.B.4. Recognize the slide, translation
using triangles, quadrilaterals, pentagons, 397, 406-409 results of changing the
hexagons, or octagons position
(transformation) of
objects by sliding
(translation), turning
(rotation), or flipping
(reflection).
DEC 4.11.B.1.b. Demonstrate flips (reflections) Harcourt Math: p. 2.8.B.4. Recognize the flip, reflection
using triangles, quadrilaterals, pentagons, 397, 406-409 results of changing the
hexagons, or octagons position
(transformation) of
objects by sliding
(translation), turning
(rotation), or flipping
(reflection).
DEC 4.11.B.1.c. Demonstrate turns (rotations) using Harcourt Math: p. 2.8.B.4. Recognize the turn, rotation
triangles, quadrilaterals, pentagons, hexagons, 397, 406-409 results of changing the
or octagons position
(transformation) of
objects by sliding
(translation), turning
(rotation), or flipping
(reflection).

MPS - Math Problem Solving MP - Math Procedures 14 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.11.B.2.a. Draw lines of symmetry in triangles alex: The Great 2.8.B.2. Identify line line of symmetry,
Divide - A Lesson in symmetry in plane symmetry
Symmetry geometric figures.
Books: It Looked
Like Spilt Milk by
Charles G. Shaw
Harcourt Math: p.
397-401
DEC 4.11.B.2.b. Draw lines of symmetry in Website: 2.8.B.2. Identify line
quadrilaterals www.harcourtschool.co symmetry in plane
m/activity/elab2004/g geometric figures.
r4/19.html
DEC 4.11.B.2.c. Draw lines of symmetry in pentagons Website: 2.8.B.2. Identify line
illuminations.nctm.org/ symmetry in plane
LessonDetail.aspx?ID= geometric figures.
L556
DEC 4.11.B.2.d. Draw lines of symmetry in hexagons 2.8.B.2. Identify line
symmetry in plane
geometric figures.
DEC 4.11.B.2.e. Draw lines of symmetry in octagons 2.8.B.2. Identify line
symmetry in plane
geometric figures.

MPS - Math Problem Solving MP - Math Procedures 15 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.12.a. Find locations on a map using alex: Plotting ordered pairs, location, ARMT
ordered pairs. Points in Alabama point Mult. Choice-4
AMSTI Sunken Ships - Gridded-0
Inv 1, 2; Ten-Minute Open-Ended-0
Math STANFORD
Harcourt Math: p. MPS #34, pg.
419 93
AHSGE
V-1, 2, 4 pg.
36 Graph or
ID graphs of
linear
equations.
V-1, pg. 45
Translate info
into alg exp. on
DEC 4.12.b. Find locations on a grid using Books: X Marks the 3.9. Specify locations grid, coordinates ARMT
ordered pairs. Spot! By Lucille Recht on a coordinate grid by Mult. Choice-4
Penner, The Fly on the using horizontal and Gridded-0
Ceiling by Julie Glass vertical movements. Open-Ended-0
Harcourt Math: pp. STANFORD
430-431, 436-437 MPS #34, pg.
93
AHSGE
V-1, 2, 4 pg.
36 Graph or
ID graphs of
linear
equations.
V-1, pg. 45
Translate info
into alg exp. on
MEASUREMENT

MPS - Math Problem Solving MP - Math Procedures 16 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEP 4.13. Calculate elapsed time in hours and Books: The Long Wait 3.11.b. Determine elapsed time ARMT
minutes. by Annie Cobb, What elapsed time to the Mult. Choice-3
Time Is It? A Book of
Math Riddles by Sheila hour with a clock. Gridded-0
Keenan Open-Ended-0
Harcourt Math: p. 98- STANFORD
101
MPS #36, pg.
Websites:
www.nsa.gov/teachers/ 93
es/geom_elapsed/time.
pdf,
www.studyzone.org/test
prep/math4/d/elapsed4
p.cfm

JAN 4.14.a. Measure length and width using AMSTI Sunken Ships; 3.10. Measure length in measured, line ARMT
metric units Seeing Solids and metric units. segments, distance, Mult. Choice-6
Silhouettes - Inv 1; dozen, nearer, half- Gridded-0
Different Shapes, units, quarter-units, Open-Ended-0
Equal Pieces - Inv 1, 2 centimeter, decimeter, STANFORD
Harcourt Math: p. meter, kilometer MPS #'s 33
539-543 pg. 93
AHSGE
IV-1, pg. 30
Find the
perimeter,
circum, area,
or volume of
geometric
figures.

MPS - Math Problem Solving MP - Math Procedures 17 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.14.b. Measure length and width using Books: Cock-A- 2.10. Measure length in inches, feet, yard, ARMT
customary units Doodle-Doo by Susan customary units. miles Mult. Choice-6
Stevens Crummel Gridded-0
Harcourt Math: pp. Open-Ended-0
517-525 STANFORD
MPS #'s 33
pg. 93
AHSGE
IV-1, pg. 30
Find the
perimeter,
circum, area,
or volume of
geometric
FEB 4.14.c. Measure weight using metric units Harcourt Math: pp. 2.11.a. Estimate weight mass, weight, grams figures.
ARMT
548-549 by making comparisons Mult. Choice-6
with familiar objects. Gridded-0
Open-Ended-0
AHSGE
IV-1, pg. 30
Find the
perimeter,
circum, area,
or volume of
geometric
figures.

MPS - Math Problem Solving MP - Math Procedures 18 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.14.d. Measure weight using customary Books: Lulu's 2.11.a. Estimate weight pounds, ounces ARMT
units Lemonade by Barbara by making comparisons Mult. Choice-6
Derubertis with familiar objects. Gridded-0
Harcourt Math: pp. Open-Ended-0
530-531 AHSGE
IV-1, pg. 30
Find the
perimeter,
circum, area,
or volume of
geometric

FEB 4.14.e. Measure capacity using metric units Harcourt Math: pp. 2.11.b. Estimate liters, capacity, cup, figures.
ARMT
546-547 capacity by making gallon, quart, pint Mult. Choice-6
comparisons with Gridded-0
familiar objects. Open-Ended-0
AHSGE
IV-1, pg. 30
Find the
perimeter,
circum, area,
or volume of
geometric
figures.

MPS - Math Problem Solving MP - Math Procedures 19 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.14.f. Measure capacity using customary alex: Water, Water; 2.11.b. Estimate ARMT
units Ready, Set, Let's capacity by making Mult. Choice-6
Dough! It's a Matter comparisons with Gridded-0
of System familiar objects. Open-Ended-0
Harcourt Math: pp. AHSGE
528-529 IV-1, pg. 30
Find the
perimeter,
circum, area,
or volume of
geometric

DEC 4.14.g. Measure temperature in degrees Harcourt Math: pp. Fahrenheit, ºF figures.
ARMT
Fahrenheit 420-421 Mult. Choice-3
Gridded-0
Open-Ended-0
STANFORD
MPS #38, pg.
93
DEC 4.14.h. Measure temperature in degrees Harcourt Math: pp. Celsius, ºC ARMT
Celsius. 422-423 Mult. Choice-3
Gridded-0
Open-Ended-0
STANFORD
MPS #38, pg.
93
APR 4.14.B.1.a. Estimate perimeter of irregular Harcourt Math: p. perimeter, unit squares STANFORD
shapes using unit squares and grid paper 611-617 MPS #39, pg.
93
APR 4.14.B.1.b. Estimate area of irregular shapes alex: Abundant Area area, unit squares STANFORD
using unit squares and grid paper Harcourt Math: pp. MPS #39, pg.
627-629 93

MPS - Math Problem Solving MP - Math Procedures 20 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

APR 4.14.B.2. Estimate area using unit squares Harcourt Math: p. area STANFORD
627-629 MPS #39, pg.
93

DATA ANALYSIS AND PROBABILITY

SEPT 4.15.a. Represent categorical data using AMSTI Packages and 2.13.c. Create displays, compare, data, table, ARMT
tables and graphs, including bar graphs. Groups includig appropriate labels, graph, bar graph, line, Mult. Choice-2
Harcourt Math: p. for a given set of data graph, line plot, Gridded-0
using bar graphs.
135-137, 160-161 intervals, average Open-Ended-2
STANFORD
MPS #'s 28,
29, 30 pg. 93
SEPT 4.15.b. Represent categorical data using Harcourt Math: pp. line, graph ARMT
tables and graphs, including line graphs. 138-141 Mult. Choice-2
Gridded-0
Open-Ended-2
STANFORD
MPS #'s 28,
29, 30 pg. 93
SEPT 4.15.c. Represent categorical data using Harcourt Math: pp. line plot ARMT
tables and graphs, including line plots. 144-147, 160-161 Mult. Choice-2
Gridded-0
Open-Ended-2
STANFORD
MPS #'s 28,
29, 30 pg. 93
JAN 4.15.B.1.a. Collect data using observations Harcourt Math: p. 1.13.B.1. Generate observations
490-491 simple questions for
data collection.

MPS - Math Problem Solving MP - Math Procedures 21 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEPT 4.15.B.1.b. Collect data using surveys Books: Bein' With 1.13.B.1. Generate surveys
You This Way by W. simple questions for
Nikola-Lisa data collection.
Harcourt Math: pp.
114-117
Website:
www.wwu.edu/depts/t
heatre/motley/FINAL
_LESSONS/Bein_%20
With_ALL_of_You%2
0Final.doc
JAN 4.15.B.1.c. Collect data using experiments Harcourt Math: p. 1.13.B.1. Generate experiments
490-491 simple questions for
data collection.
SEPT 4.15.B.2. Create tally charts to represent data Harcourt Math: p. 2.13.b. Create displays, tally charts
collected from real-life situations 114-115, 498-499 including appropriate
labels, for a given set
of data using tally
charts.
JAN 4.16. Determine if outcomes of simple AMSTI Landmarks in 3.13. Determine the likelihood, likely, ARMT
events are likely, unlikely, certain, equally the Thousands likelihood of different unlikely, equally likely, Mult. Choice-3
likely, or impossible. Books: Graphs by outcomes in a simple certain, impossible, at Gridded-0
Bonnie Bader, experiment. this rate Open-Ended-0
Lemonade for Sale by STANFORD
Stuart J. Murphy, MPS #26,27
Measuring Penny by pg. 93
Loreen Leedy
Harcourt Math: p.
496-497

MPS - Math Problem Solving MP - Math Procedures 22 11/22/2011
FOURTH GRADE MATH STANDARDS
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEPT 4.17.a. Represent numerical data using AMSTI Sunken Ships 2.13.c. Create displays, compare, data, table, STANFORD
tables and graphs, including bar graphs and Grid Patterns - includig appropriate graph, bar graph, MPS
Inv 1, 2 labels, for a given set intervals, average #28,29,30 pg.
Books: What's of data using bar 93
Faster Than a graphs.
Speeding Cheetah? By
Robert E. Wells, The
Great Graph Contest
by Loreen Leedy
Harcourt Math: p.
135-137
Website:
www.sci.tamucc.edu/~e
young/Literature%20w
ebpages/Leonor/great

SEPT 4.17.b. Represent numerical data using _graph.html
Harcourt Math: pp. line graph, line plot STANFORD
tables and graphs, including line graphs. 138-141 MPS
#28,29,30 pg.
93

MPS - Math Problem Solving MP - Math Procedures 23 11/22/2011
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.1.B.3.a. Determine the place value of a Books: Millions of 3.1.B.2. Identify the place place value, digit STANFORD
value of any digit within a MPS #1, pg. 92
digit in a whole number through the hundred-Cats by Wanda Gag
four-digit number.
thousands Harcourt Math: pp.
2-5, 86

AUG 4.1.B.2. Write a number in expanded notation Harcourt Math: p. 3.1.B.4. Determine the expanded notation STANFORD MPS
#3,8 pg. 92
through the hundred-thousands 6-9 value of a number
Website: written in expanded
www.uen.org/lessonpla notation to the ten-
n/upload/11108-2- thousands place.
14946-
expanded_notation_ca
rds.pdf
AUG 4.1.a. Demonstrate number sense by AMSTI Landmarks 3.1.a. Demonstrate greater than, less than, ARMT Mult.
Choice-4 Gridded-
comparing whole numbers to 999,999. in the Thousands - Inv number sense by greatest, least, more
0 Open-Ended-0
1, 2, 3, 4; Arrays and comparing whole than, >, < , =, compare,
STANFORD MPS
Shares - Inv 1; numbers through 9999. tenths, hundredths, #5, pg. 92
Packages and Groups - expanded form, chart
Inv 2; Different
Shapes, Equal Pieces -
Inv 1; Sunken Shops
and Grid Patterns -
Inv 1
Harcourt Math: p. 20-
AUG 4.1.B.1.b. Identify a number when given groups 23, 93
Harcourt Math: pp. 2.1.1. Demonstrate
of ones, tens, hundreds, and thousands 20, 25 concepts of number
sense by using multiple
representations of
whole numbers up to
1000.

Page 24
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.1.b. Demonstrate number sense by ordering Harcourt Math: pp. 3.1.b. Demonstrate order, first, second, ARMT Mult.
Choice-4 Gridded-
whole numbers to 999,999. 24-27 number sense by third, etc.
0 Open-Ended-0
ordering whole numbers
STANFORD MPS
through 9999. #5, pg. 92
AUG 4.5.a. Round whole numbers to the nearest AMSTI Packages and 3.1.B.5.a. Round whole nearer hundred, ARMT Mult.
Choice-3
ten, hundred, or thousand. Groups - Inv 2 numbers to the nearest thousand, tenth,
Gridded-1
Harcourt Math: p. 30- ten and hundred. hundredth, about how
Open-Ended-0
33 many, estimate, round STANFORD MPS
#10, pg. 92
AUG 4.6.a. Solve problems, including word AMSTI Landmarks in 3.2.a. Solve addition including tax, without ARMT Mult.
Choice-3
problems, that involve addition of four-digit the Thousands - Inv 1, problems, including tax, total, chart, table,
Gridded-1
numbers without regrouping. 2, 3, 4 word problems, combined
Open-Ended-1
Harcourt Math: p. 39- involving two- and STANFORD
43, 48-57 three-digit numbers MPS #'s 14, 15, 16
without regrouping. pg. 92
MP #'s 1, 2 pg. 93
AHSGE VII-
8, pg. 70 Solve
problems involving
algebraic concepts.

AUG 4.6.B.1.a. Estimate sums of whole numbers by Harcourt Math: p. 43- 3.2.B.1.c. Estimate rounding STANFORD MPS
#13, pg. 92
using appropriate strategies such as rounding 47 sums by rounding.
AUG 4.6.B.1.b. Estimate sums of whole numbers by Books: Estimation by 3.2.B.1.b. Estimate front-end estimation STANFORD MPS
#13, pg. 92
using appropriate strategies such as front-end Barbara McGrath sums by using front-
estimation Harcourt Math: pp. end estimation.
43 - 47
AUG 4.6.B.1.c. Estimate sums of whole numbers by Harcourt Math: pp. 43 3.2.B.1.a. Estimate compatible numbers STANFORD MPS
#13, pg. 92
using appropriate strategies such as - 47 sums by using
compatible numbers compatible numbers.
AUG 4.6.B.1.d. Estimate differences of whole Harcourt Math: pp. 44- 3.2.B.1.f. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate strategies such 47 differences by using
as rounding rounding.
AUG 4.6.B.1.e. Estimate differences of whole Harcourt Math: pp. 44- 3.2.B.1.e. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate strategies such 47 differences by using
as front-end estimation front-end estimation.

Page 25
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.6.B.1.f. Estimate differences of whole Harcourt Math: pp. 44- 3.2.B.1.d. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate strategies such 47 differences by using
as compatible numbers compatible numbers.
AUG 4.6.b. Solve problems, including word Harcourt Math: 3.2.b. Solve ARMT Mult.
Choice-3
problems, that involve addition of four- pp. 48-57 addition problems, Gridded-1
digit numbers with regrouping. including word Open-Ended-1
STANFORD
problems, involving MPS #'s 14, 15, 16
two- and three- pg. 92
MP #'s 1, 2 pg. 93
digit numbers with
AHSGE VII-
regrouping. 8, pg. 70 Solve
problems involving
algebraic concepts.

AUG 4.6.c. Solve problems, including word Harcourt Math: 3.2.c. Solve difference ARMT Mult.
Choice-3
problems, that involve subtraction of pp. 48-57 subtraction Gridded-1
four-digit numbers without regrouping. problems, including Open-Ended-1
STANFORD
word problems, MPS #'s 14, 15, 16
involving two- and pg. 92
MP #'s 3, 4 pg. 93
three-digit
AHSGE VII-
numbers without 8, pg. 70 Solve
problems involving
regrouping.
algebraic concepts.

Page 26
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

AUG 4.6.d. Solve problems, including word Harcourt Math: 3.2.d. Solve ARMT Mult.
Choice-3
problems, that involve subtraction of pp. 48-57 subtraction Gridded-1
four-digit numbers with regrouping. problems, including Open-Ended-1
STANFORD
word problems, MPS #'s 14, 15, 16
involving two- and pg. 92
MP #'s 3, 4 pg. 93
three-digit
AHSGE VII-
numbers with 8, pg. 70 Solve
problems involving
regrouping.
algebraic concepts.

AUG 4.10.a. Complete addition number AMSTI number sentence, ARMT Mult.
Choice-3 Gridded-
sentences with a missing addend. Landmarks in the addend, value of χ 1 Open-
Thousands -Inv 2 Ended-0
STANFORD
Harcourt Math: MPS #6, pg. 92
pp. 63, 69 MP #'s 1, 3 pg. 93

AUG 4.10.b. Complete subtraction number need additional subtrahend ARMT Mult.
Choice-3 Gridded-
sentences with a missing subtrahend. resources 1 Open-
Ended-0
STANFORD
MPS #6, pg. 92
MP #'s 1, 3 pg. 93

Page 27
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEP 4.13. Calculate elapsed time in hours Books: The Long 3.11.b. Determine elapsed time ARMT Mult.
Choice-3 Gridded-
and minutes. Wait by Annie elapsed time to the 0 Open-
Cobb, What Time hour with a clock. Ended-0
STANFORD MPS
Is It? A Book of #36, pg. 93
Math Riddles by
Sheila Keenan
Harcourt Math: p.
98-101
Websites:
www.nsa.gov/teach
ers/es/geom_elap
sed/time.pdf,
www.studyzone.org
/testprep/math4/
d/elapsed4p.cfm
SEPT 4.15.B.1.b. Collect data using surveys Books: Bein' With 1.13.B.1. Generate surveys
You This Way by simple questions
W. Nikola-Lisa for data collection.
Harcourt Math:
pp. 114-117
Website:
www.wwu.edu/dept
s/theatre/motley/
FINAL_LESSONS
/Bein_%20With_
ALL_of_You%20Fi
nal.doc

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FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEPT 4.15.B.2. Create tally charts to Harcourt Math: p. 2.13.b. Create tally charts
represent data collected from real-life 114-115, 498-499 displays, including
situations appropriate labels,
for a given set of
data using tally
charts.
SEPT 4.15.a. Represent categorical data AMSTI Packages 2.13.c. Create compare, data, ARMT Mult.
Choice-2 Gridded-
using tables and graphs, including bar and Groups displays, includig table, graph, bar 0 Open-
graphs. Harcourt Math: p. appropriate labels, graph, line, graph, Ended-2
STANFORD MPS
135-137, 160-161 for a given set of line plot, intervals, #'s 28, 29, 30 pg.
data using bar average 93

graphs.

Page 29
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEPT 4.17.a. Represent numerical data using AMSTI Sunken 2.13.c. Create compare, data, STANFORD MPS
#28,29,30 pg. 93
tables and graphs, including bar graphs Ships and Grid displays, includig table, graph, bar
Patterns - Inv 1, 2 appropriate labels, graph, intervals,
Books: What's for a given set of average
Faster Than a data using bar
Speeding graphs.
Cheetah? By
Robert E. Wells,
The Great Graph
Contest by Loreen
Leedy
Harcourt Math: p.
135-137
Website:
www.sci.tamucc.ed
u/~eyoung/Literat
ure%20webpages/
Leonor/great_gra
SEPT 4.17.b. Represent numerical data using ph.html Math:
Harcourt line graph, line plot STANFORD MPS
#28,29,30 pg. 93
tables and graphs, including line pp. 138-141
graphs.
SEPT 4.15.b. Represent categorical data Harcourt Math: line, graph ARMT Mult.
Choice-2 Gridded-
using tables and graphs, including line pp. 138-141 0 Open-
graphs. Ended-2
STANFORD MPS
#'s 28, 29, 30 pg.
93

Page 30
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEPT 4.15.c. Represent categorical data Harcourt Math: line plot ARMT Mult.
Choice-2 Gridded-
using tables and graphs, including line pp. 144-147, 160- 0 Open-
plots. 161 Ended-2
STANFORD MPS
#'s 28, 29, 30 pg.
93
SEPT 4.7.B.3.a. Demonstrate computational Harcourt Math: p. 3.2.B.2.a. STANFORD MP
# 5, 6 pg. 93
fluency in multiplication fact families 162-173, 213-215 Demonstrate
through 12 computational
fluency in addition.
SEPT 4.7.B.3.b. Demonstrate computational Books: A 3.2.B.2.b. STANFORD MP
# 7, 8 pg. 93
fluency in division fact families Remainder of One Demonstrate
through 12 by Elinor Pinczes computational
Harcourt Math: fluency in
pp. 164-173 subtraction.
SEPT 4.9.a. Write number sentences for AMSTI Arrays number sentence, ARMT Mult.
Choice-4 Gridded-
word problems that involve and Shares - Inv individually 0 Open-
multiplication. 2; Packages and Ended-0
STANFORD
Groups - Inv 3 MPS #12, pg. 92
Harcourt Math: p. MP #'s 6 pg. 93
AHSGE VII-8,
176-177
pg. 70 Solve
problems involving
algebraic concepts.

Page 31
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

SEPT 4.9.b. Write number sentences for Harcourt Math: ARMT Mult.
Choice-4 Gridded-
word problems that involve division. pp. 176-177 0 Open-
Ended-0
STANFORD
MPS #12, pg. 92
MP #'s 8 pg. 93
AHSGE VII-8,
pg. 70 Solve
problems involving
algebraic concepts.

SEPT 4.7.B.2. Identify information needed Harcourt Math: p. 1.2.B.1. Solve simple STANFORD MPS
#9, pg. 92
to determine the appropriate 176-177, 478-479 word problems
operation to solve a problem using a variety of
strategies and
distinguishing
between relevant
and irrelevant
information.

OCT 4.7.B.1.a. Estimate products of whole Harcourt Math: p. 3.2.B.1.c. Estimate about how many, STANFORD MPS
#13, pg. 92
numbers by using appropriate 216-217, 242-243 sums by rounding. estimate, round
strategies such as rounding
OCT 4.7.B.1.b. Estimate products of whole Harcourt Math: 3.2.B.1.b. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate pp. 242-243 sums by using front-
strategies such as front-end end estimation.
OCT estimation
4.7.B.1.c. Estimate products of whole Harcourt Math: 3.2.B.1.a. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate pp. 216-217, 242- sums by using
strategies such as compatible numbers 243 compatible
numbers.

Page 32
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

OCT 4.7.a. Solve problems, including word AMSTI 3.3.B.1. b. Apply product, fact ARMT Mult.
Choice-4 Gridded-
problems, involving the basic operation Landmarks in the concepts of families, equal 0 Open-Ended-
of multiplication on whole numbers Thousands - Inv 1, multiplication groups/ number, 1 STANFORD
MPS #'s 14, 15 ,16
through two-digit multipliers. 2, 3; Ten-Minute through the use of equally, each pg. 92
Math; Arrays and number stories. MP #'s 5, 6 pg. 93

Shares - Inv 1, 2,
3; Packages and
Groups - Inv 1, 2,
3 Harcourt
Math: p. 218-227,
236-237, 240-
241, 244-245, 251-
263, 268-269,
360-361
NOV 4.7.b. Solve problems, including word Harcourt Math: 3.4. Divide whole quotient ARMT Mult.
Choice-4 Gridded-
problems, involving the basic operation pp. 277-289, 295, numbers using two- 0 Open-Ended-
of division on whole numbers through 298-309, 360-361 digit dividends and 1 STANFORD
MPS #'s 14, 15 ,16
one-digit divisors. one-digit divisors. pg. 92
MP #'s 7, 8 pg. 93

NOV 4.7.B.1.d. Estimate quotients of whole Harcourt Math: 3.2.B.1.f. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate pp. 296-297 differences by
strategies such as rounding using rounding.
NOV 4.7.B.1.e. Estimate quotients of whole Harcourt Math: 3.2.B.1.e. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate pp. 296-297 differences by
strategies such as front-end using front-end
estimation estimation.

Page 33
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

NOV 4.7.B.1.f. Estimate quotients of whole Harcourt Math: 3.2.B.1.d. Estimate STANFORD MPS
#13, pg. 92
numbers by using appropriate pp. 296-297 differences by
strategies such as compatible numbers using compatible
numbers.
DEC 4.11.a. Identify triangles, alex: ABC's of 2.8.a. Describe triangle, ARMT Mult.
Choice-4 Gridded-
quadrilaterals, pentagons, hexagons, or Geometry attributes of two- quadrilateral, 0 Open-Ended-
octagons based on the number of sides. AMSTI dimensional (plane) pentagon, hexagon, 0 AHSGE
VII-4, pg. 57
Different Shapes, figures using the octagon, side, Apply properties
Equal Pieces - Inv terms side, vertex, outside edge of plane and solid
geometric figures.
1; Sunken Ships - and angle.
Inv 2; Seeing
Solids and
Silhouettes - Inv
2;
Harcourt Math: p.
380 - 381
Website:
strader.cehd.tamu.
edu/Mathematics/
Geometry/Polygon
Lesson/identify.ht
ml ;
www.learner.org/c
hannel/courses/le
arningmath/geome
try/session3/part

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FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.11.b. Identify triangles, alex: Capturing 2.8.a. Describe angle ARMT Mult.
Choice-4 Gridded-
quadrilaterals, pentagons, hexagons, or Polygons attributes of two- 0 Open-Ended-
octagons based on the number of Harcourt Math: dimensional (plane) 0 AHSGE
VII-4, pg. 57
angles. pp. 380-381 figures using the Apply properties
terms side, vertex, of plane and solid
geometric figures.
and angle.

DEC 4.11.c. Identify triangles, Website: 2.8.a. Describe vertices, vertex ARMT Mult.
Choice-4 Gridded-
quadrilaterals, pentagons, hexagons, or www.teachersnetw attributes of two- 0 Open-Ended-
octagons based on the number of ork.org/readysett dimensional (plane) 0 AHSGE
VII-4, pg. 57
vertices. ech/polygons.htm figures using the Apply properties
terms side, vertex, of plane and solid
geometric figures.
and angle.

DEC 4.11.B.1.a. Demonstrate slides Harcourt Math: p. 2.8.B.4. Recognize slide, translation
(translations) using triangles, 397, 406-409 the results of
quadrilaterals, pentagons, hexagons, or changing the
octagons position
(transformation) of
objects by sliding
(translation),
turning (rotation),
or flipping
(reflection).

Page 35
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.11.B.1.b. Demonstrate flips Harcourt Math: p. 2.8.B.4. Recognize flip, reflection
(reflections) using triangles, 397, 406-409 the results of
quadrilaterals, pentagons, hexagons, or changing the
octagons position
(transformation) of
objects by sliding
(translation),
turning (rotation),
or flipping
(reflection).
DEC 4.11.B.1.c. Demonstrate turns Harcourt Math: p. 2.8.B.4. Recognize turn, rotation
(rotations) using triangles, 397, 406-409 the results of
quadrilaterals, pentagons, hexagons, or changing the
octagons position
(transformation) of
objects by sliding
(translation),
turning (rotation),
or flipping
(reflection).
DEC 4.11.B.2.a. Draw lines of symmetry in alex: The Great 2.8.B.2. Identify line of symmetry,
triangles Divide - A Lesson line symmetry in symmetry
in Symmetry plane geometric
Books: It Looked figures.
Like Spilt Milk by
Charles G. Shaw
Harcourt Math: p.
397-401

Page 36
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.11.B.2.b. Draw lines of symmetry in Website: 2.8.B.2. Identify
quadrilaterals www.harcourtscho line symmetry in
ol.com/activity/ela plane geometric
b2004/gr4/19.htm figures.
l
DEC 4.11.B.2.c. Draw lines of symmetry in Website: 2.8.B.2. Identify
pentagons illuminations.nctm. line symmetry in
org/LessonDetail.a plane geometric
spx?ID=L556 figures.
DEC 4.11.B.2.d. Draw lines of symmetry in 2.8.B.2. Identify
hexagons line symmetry in
plane geometric
figures.
DEC 4.11.B.2.e. Draw lines of symmetry in 2.8.B.2. Identify
octagons line symmetry in
plane geometric
figures.
DEC 4.12.a. Find locations on a map using alex: Plotting ordered pairs, ARMT Mult.
Choice-4 Gridded-
ordered pairs. Points in Alabama location, point 0 Open-
AMSTI Sunken Ended-0
STANFORD MPS
Ships - Inv 1, 2; #34, pg. 93
Ten-Minute Math AHSGE V-
1, 2, 4 pg. 36
Harcourt Math: p.
Graph or ID
419 graphs of linear
equations.
V-1, pg. 45
Translate info into
alg exp. on graphs

Page 37
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

DEC 4.14.g. Measure temperature in Harcourt Math: Fahrenheit, ºF ARMT Mult.
Choice-3 Gridded-
degrees Fahrenheit pp. 420-421 0 Open-
Ended-0
STANFORD MPS
#38, pg. 93
DEC 4.14.h. Measure temperature in Harcourt Math: Celsius, ºC ARMT Mult.
Choice-3 Gridded-
degrees Celsius. pp. 422-423 0 Open-
Ended-0
STANFORD MPS
#38, pg. 93
DEC 4.12.b. Find locations on a grid using Books: X Marks 3.9. Specify grid, coordinates ARMT Mult.
Choice-4 Gridded-
ordered pairs. the Spot! By locations on a 0 Open-
Lucille Recht coordinate grid by Ended-0
STANFORD MPS
Penner, The Fly on using horizontal #34, pg. 93
the Ceiling by and vertical AHSGE V-
1, 2, 4 pg. 36
Julie Glass movements.
Graph or ID
Harcourt Math: graphs of linear
equations.
pp. 430-431, 436-
V-1, pg. 45
437 Translate info into
alg exp. on graphs

JAN 4.3.B.2. Write equivalent forms of Harcourt Math: p. 3.5. Model STANFORD MPS
#8, pg. 92
fractions 448-451 equivalent
Website: fractions with
www.visualfraction concrete objects
s.com/RenameHigh or pictorial
er.html representations.

Page 38
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.3.B.1.a. Use a number line to simplify Harcourt Math: p. 3.1.B.3.b. Locate a number line, STANFORD MPS
#5, pg. 92
fractions 452-455 four-digit number simplify
Website: on a number line.
www.visulafraction
s.com/RenameLow
est.html
JAN 4.3.B.1.b. Use a number line to Harcourt Math: 3.1.B.3.b. Locate a #REF!

compare fractions pp. 452-455 four-digit number
Website: on a number line.
www.visualfraction
s.com/Compare.ht
ml
JAN 4.3.B.1.c. Use a number line to order Harcourt Math: 3.1.B.3.b. Locate a STANFORD MPS
#5, pg. 92
fractions pp. 452-455 four-digit number
Website: on a number line.
www.bgfl.org/bgfl
/custom/resource
s_ftp/ks2/maths/
fractions/level4.ht
m

Page 39
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.3.a. Rename improper fractions as AMSTI denominator, ARMT Mult.
Choice-3 Gridded-
mixed numbers. Different Shapes, numerator, mixed 0 Open-
Equal Pieces - Inv number, proper Ended-0
STANFORD
1, 2, 3 fractions, improper MPS #8, pg. 92
Harcourt Math: fractions, has the
pp. 458-461 same value,
Website: equivalent
www.kidsolr.com/m
ath/fractions.html
Select Improper &
Mixed Numbers
JAN 4.3.b. Rename mixed numbers as Harcourt Math: ARMT Mult.
Choice-3 Gridded-
improper fractions. pp. 458-461 0 Open-
Ended-0
STANFORD
MPS #8, pg. 92
JAN 4.4.a. Demonstrate addition of ASMTI combined amount, ARMT Mult.
Choice-4
fractions with common denominators. Different Shapes, equation, Gridded-0
Equal Pieces - Inv numerator, Open-Ended-0
STANFORD MP
1, 2 denominator, what #'s 13-14 pg. 94
Harcourt Math: p. fraction of AHSGE I-2,
pg. 11 Add
468-471
and subtract
polynomials
JAN 4.4.b. Demonstrate subtraction of Harcourt Math: ARMT Mult.
Choice-4
fractions with common denominators. pp. 472-473 Gridded-0
Open-Ended-0
STANFORD MP
#'s 15-16 pg. 94
AHSGE I-2,
pg. 11 Add
and subtract
polynomials

Page 40
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.15.B.1.a. Collect data using Harcourt Math: p. 1.13.B.1. Generate observations
observations 490-491 simple questions
for data collection.
JAN 4.15.B.1.c. Collect data using Harcourt Math: p. 1.13.B.1. Generate experiments
experiments 490-491 simple questions
for data collection.
JAN 4.16. Determine if outcomes of simple AMSTI 3.13. Determine likelihood, likely, ARMT Mult.
Choice-3 Gridded-
events are likely, unlikely, certain, Landmarks in the the likelihood of unlikely, equally 0 Open-
equally likely, or impossible. Thousands different outcomes likely, certain, Ended-0
STANFORD MPS
Books: Graphs by in a simple impossible, at this #26,27 pg. 93
Bonnie Bader, experiment. rate
Lemonade for Sale
by Stuart J.
Murphy, Measuring
Penny by Loreen
Leedy
Harcourt Math: p.
496-497
JAN 4.14.b. Measure length and width using Books: Cock-A- 2.10. Measure inches, feet, yard, ARMT Mult.
Choice-6 Gridded-
customary units Doodle-Doo by length in customary miles 0 Open-
Susan Stevens units. Ended-0
STANFORD MPS
Crummel #'s 33 pg. 93
Harcourt Math: AHSGE IV-1,
pg. 30 Find
pp. 517-525
the perimeter,
circum, area, or
volume of
geometric figures.

Page 41
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

JAN 4.14.f. Measure capacity using alex: Water, 2.11.b. Estimate ARMT Mult.
Choice-6 Gridded-
customary units Water; Ready, capacity by making 0 Open-
Set, Let's Dough! comparisons with Ended-0
AHSGE IV-1,
It's a Matter of familiar objects. pg. 30 Find
System the perimeter,
circum, area, or
Harcourt Math:
volume of
pp. 528-529 geometric figures.

JAN 4.14.d. Measure weight using Books: Lulu's 2.11.a. Estimate pounds, ounces ARMT Mult.
Choice-6 Gridded-
customary units Lemonade by weight by making 0 Open-
Barbara comparisons with Ended-0
AHSGE IV-1,
Derubertis familiar objects. pg. 30 Find
Harcourt Math: the perimeter,
circum, area, or
pp. 530-531
volume of
geometric figures.

JAN 4.14.a. Measure length and width using AMSTI Sunken 3.10. Measure measured, line ARMT Mult.
Choice-6 Gridded-
metric units Ships; Seeing length in metric segments, distance, 0 Open-
Solids and units. dozen, nearer, half- Ended-0
STANFORD MPS
Silhouettes - Inv units, quarter-units, #'s 33 pg. 93
1; Different centimeter, AHSGE IV-1,
pg. 30 Find
Shapes, Equal decimeter, meter,
the perimeter,
Pieces - Inv 1, 2 kilometer circum, area, or
volume of
Harcourt Math: p.
geometric figures.
539-543

Page 42
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

FEB 4.14.e. Measure capacity using metric Harcourt Math: 2.11.b. Estimate liters, capacity, ARMT Mult.
Choice-6 Gridded-
units pp. 546-547 capacity by making cup, gallon, quart, 0 Open-
comparisons with pint Ended-0
AHSGE IV-1,
familiar objects. pg. 30 Find
the perimeter,
circum, area, or
volume of
geometric figures.

FEB 4.14.c. Measure weight using metric Harcourt Math: 2.11.a. Estimate mass, weight, grams ARMT Mult.
Choice-6 Gridded-
units pp. 548-549 weight by making 0 Open-
comparisons with Ended-0
AHSGE IV-1,
familiar objects. pg. 30 Find
the perimeter,
circum, area, or
volume of
geometric figures.

FEB 4.1.B.3.b. Determine the place value of Harcourt Math: STANFORD MPS
#8, pg. 92
a digit in a decimal to the hundredths pp. 560-565
FEB 4.1.B.1.a. Identify a number when given Harcourt Math: p. 2.1.1. Demonstrate STANFORD MPS
#4, pg. 92
a pictorial representation of tenths 564-572, 583 concepts of number
and hundredths sense by using
multiple
representations of
whole numbers up
to 1000.
FEB 4.1.c. Demonstrate number sense by Harcourt Math: ARMT Mult.
Choice-4 Gridded-
comparing decimals to hundredths. pp. 566-567, 572- 0 Open-Ended-0
577 STANFORD MPS
#5, pg. 92

Page 43
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

FEB 4.3.B.1.d. Use a number line to simplify Harcourt Math: 3.1.B.3.b. Locate a
mixed numbers pp. 568-571 four-digit number
Website: on a number line.
www.visualfraction
s.com/MixedFracti
on.html
FEB 4.3.B.1.e. Use a number line to Harcourt Math: 3.1.B.3.b. Locate a STANFORD MPS
#5, pg. 92
compare mixed numbers pp. 568-571 four-digit number
on a number line.
FEB 4.3.B.1.f. Use a number line to order Harcourt Math: 3.1.B.3.b. Locate a STANFORD MPS
#5, pg. 92
mixed numbers pp. 568-571 four-digit number
on a number line.
FEB 4.8. Recognize equivalent forms of AMSTI Different 3.5. Model equivalent, what ARMT Mult.
Choice-4 Gridded-
commonly used fractions and decimals. Shapes, Equal equivalent fraction of, same 0 Open-
Pieces - Inv 1, 2 fractions with value as Ended-0
STANFORD
Harcourt Math: p. concrete objects MPS #8, pg. 92
568-571 or pictorial
representations.
FEB 4.1.d. Demonstrate number sense by Harcourt Math: ARMT Mult.
Choice-4 Gridded-
ordering decimals to hundredths. pp. 572-577 0 Open-Ended-0
STANFORD MPS
#5, pg. 92
FEB 4.5.b. Round decimals to the nearest Harcourt Math: 3.1.B.5.b. Round nearer tenth ARMT Mult.
Choice-3
tenth. pp. 584-585 money values to the Gridded-1
nearest dollar. Open-Ended-0

Page 44
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

FEB 4.2.a. Write money amounts in words. need additional number words, ARMT Mult.
Choice-2 Gridded-
resources dollar, $, decimal 1 Open-
point, ., cent, Ended-0
STANFORD MPS
numerical form, #3, pg. 92
value
FEB 4.2.b. Write money amounts in dollar- need additional 2.4.B.2. Apply ARMT Mult.
Choice-2 Gridded-
and-cent notation. resources monetary symbols , 1 Open-
including dollar ($), Ended-0
STANFORD MPS
cent (¢), and #3, pg. 92
decimal point.
FEB 4.2.B.1. Identify equivalent units of Books: If You 2.4.B.1. Exchange equivalent STANFORD MPS
#40, pg. 93
money Made a Million by coins of equivalent
David M. Schwartz value.

FEB 4.6.B.2.a. Add decimals Harcourt Math: p. STANFORD
MP # 9, 10, 11, 12
588-589, 592-595 pg. 93

FEB 4.6.B.2.b. Subtract decimals Harcourt Math: STANFORD
MP # 9, 10, 11, 12
pp. 590-595 pg. 93
FEB 4.6.B.2.c. Add money amounts alex: Pigs and STANFORD MPS
#40 pg. 93
Money MP # 9, 10, 11, 12
Books: Pigs Will pg. 93

be Pigs by Amy
Axelrod
Harcourt Math:
pp. 592-595

Page 45
FOURTH GRADE MATH STANDARDS (by pacing)
PACING MONTHS AL COS STANDARDS RESOURCES PREREQUISITE SKILLS VOCABULARY TESTING

FEB 4.6.B.2.d. Subtract money amounts alex: Changes in 3.6 Use coins to STANFORD MPS
#40 pg. 93
Change make change to MP # 9, 10, 11, 12
Harcourt Math: $1.00. pg. 93

pp. 592-595
APR 4.14.B.1.a. Estimate perimeter of Harcourt Math: p. perimeter, unit STANFORD MPS
#39, pg. 93
irregular shapes using unit squares and 611-617 squares
grid paper
APR 4.14.B.1.b. Estimate area of irregular alex: Abundant area, unit squares STANFORD MPS
#39, pg. 93
shapes using unit squares and grid Area
paper Harcourt Math:
pp. 627-629
APR 4.14.B.2. Estimate area using unit Harcourt Math: p. area STANFORD MPS
#39, pg. 93
squares 627-629

Page 46