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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
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-
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
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
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
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
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
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
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
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
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
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
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.
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
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
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
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.
/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
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
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
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
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
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
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
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
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
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
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
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
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-
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
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

Page 28
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
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-
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:
edu/Mathematics/
Geometry/Polygon
Lesson/identify.ht
ml ;
www.learner.org/c
hannel/courses/le
arningmath/geome
try/session3/part

Page 34
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
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,
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,
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
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

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