
NUMBERS AND OPERATIONS


Understand and use

Number notation and place value


N.ME.04.01

Read and write numbers to 1,000,000; relate them to the
quantities they represent; compare and order.


N.ME.04.02

Compose and decompose numbers using place value to 1,000,000s
(e.g. 25,068 is 2 ten thousands, 5 thousands, 0 hundreds, 6 tens, and 8 ones)


N.ME.04.03

Understand the magnitude of numbers up to 1,000,000;
recognize the place values of numbers and the relationship of each place to the
place to its right (e.g. 1,000 is 10 hundreds).


Use factors and multiples



N.ME.04.04

Find all factors of any whole number through 50, list
factor pairs, and determine if a onedigit number is a factor of a given
whole number.


N.ME.04.05

List the first ten multiples of a given onedigit whole
number; determine if a whole number is a multiple of a given onedigit whole
number.


N.MR.04.06

Know that some numbers including 2,3,5,7, and 11 have exactly
two factors (1 and the number itself) and are called prime numbers.


N.MR.04.07

Use factors and multiples to compose and decompose whole
numbers.


Add and subtract

whole numbers


N.FL.04.08

Add and subtract whole numbers fluently


Multiply and divide

whole numbers


N.ME.04.09

Multiply twodigit numbers by 2,3,4 and 5 using the
distributive property [(e.g. 21x3 = (1+20)x3 = (1x3) + (20x3) = 3 + 60 = 63 ]


N.FL.04.10

Multiply fluently any whole number by a onedigit number
and a threedigit number by a twodigit number; for a twodigit by onedigit
multiplication use distributive property to develop meaning for the
algorithm.


N.FL.04.11

Divide numbers up to fourdigits by onedigit numbers and
by 10.


N.FL.04.12

Find the value of the unknowns in equations such as:
a
div. 10=25; 125 div. b=25.


N.MR.04.13

Use the relationship between multiplication and division to
simplify computations and check results.

Assessment

N.MR.04.14

Solve contextual problems involving whole number
multiplication and division.


Read, interpret, and

compare decimal fractions


N.ME.04.15

Read and interpret decimals up to two decimal places;
relate to money and place value comparison.

Assessment

N.ME.04.16

Know that terminating decimals represents fractions whose
denominators are 10, 10x10, 10x10x10, etc. (e.g. powers of ten).


N.ME.04.17

Locate tenths and hundredths on a number line.


N.ME.04.18

Read, write, interpret, and compare decimals up to two
decimal places.

Assessment

N.MR.04.19

Write tenths and hundredths in decimal and fraction
forms, and know the decimal equivalents for halves and fourths.


Understand fractions



N.ME.04.20

Understand fractions as parts of a set of objects

Assessment

N.MR.04.21

Explain why equivalent fractions are equal, using models
such as fraction strips or the number line for fractions with denominators of
12 or less, or equal to 100.


N.MR.04.22

Locate fractions with denominators of 12 or less on the
number line; include mixed numbers.


N.MR.04.23

Understand the relationships among halves, fourths, and
eighths, and among thirds, sixths, and twelfths.


N.ME.04.24

Know that fractions of the form ^{m}_{/ n}
(where m is greater than n, are greater than 1, and are called improper
fractions); locate improper fractions on the number line.


N.MR.04.25

Write improper fractions as mixed numbers, and understand
that a mixed number represents the number of wholes and the part of a whole remaining. (e.g. ^{5}/_{4}
= 1 + ^{1} / _{4}= 1 ^{1} /
_{4})


N.MR.04.26

Compare and order up to three fractions with denominators
2, 4, and 8, and 3, 6, and 12, including improper fractions and mixed
numbers.


Add and subtract fractions



N.MR.04.27

Add and subtract fractions less than 1 with denominators
through 12 and/or 100, in cases where the denominators are equal or when one
denominator is a multiple of the other. (e.g. ^{1}/_{12} + ^{5}/_{12}
= ^{6}/_{12}; ^{1}/_{6} + ^{5}/_{12}
= ^{7}/_{12}; ^{3}/_{10}^{23}/_{100}
= ^{7}/_{100})


N.MR.04.28

Solve contextual problems involving sums and difference
for fractions where one denominator is a multiple of the other (denominators
2 through 12, and 100).


N.MR.04.29

Find the value of an unknown in equations such as ^{1}_{/
8} + X = ^{5}/_{8} or ^{3} / _{4}  Y = ^{1}
/ _{2}.


Multiply fractions by

whole numbers


N.MR.04.30

Multiply fractions by whole numbers, using repeated
addition and area or array models.


Add and subtract

decimal fractions


N.MR.04.31

For problems that use addition and subtraction of
decimals through hundredths, represent with mathematical statements and
solve.


N.FL.04.32

Add and subtract decimals through hundredths.


Multiply and divide

decimal fractions


N.FL.04.33

Multiply and divide decimals up to two decimal places by
a onedigit whole number where the result is a terminating decimal. (e.g.
0.42 div. 3 = 0.14, but not 5 / 3 =
1.6 repeating)


Estimate



N.FL.04.34

Estimate the answers to calculations involving addition,
subtraction, or multiplication.


N.FL.04.35

Know when approximation is appropriate and use it to
check the reasonableness of answers; be familiar with common placevalue errors
in calculations.


N.FL.04.36

Make appropriate estimations and calculations fluently
with whole numbers using mental math strategies.


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Numbers and OperationsAlgebraMeasurementGeometry

Data and Probability


ALGEBRA


There are no 4^{th} Grade GLCEs

in the algebra strand.


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Numbers and OperationsAlgebraMeasurementGeometry

Data and Probability


MEASUREMENT


Measure using common

tools and appropriate units


M.UN.04.01

Measure using common tools and select appropriate units
of measure.


M.PS.04.02

Give answers to a reasonable degree of precision in the
context of a given problem.


M.UN.04.03

Measure and compare integer temperatures in degrees.


M.TE.04.04

Measure surface area of cubes and rectangular prisms by
covering and counting area of the faces.


Convert measurement units



M.TE.04.05

Carry out the following conversions from one unit of
measure to a larger or smaller unit of measure: meters to centimeters,
kilograms to grams, liters to milliliters, hours to minutes, minutes to
seconds, years to months, weeks to days, feet to inches, ounces to pounds,
(using numbers that involve only simple calculations).


Use perimeter and area

formulas


M.TE.04.06

Know and understand the formulas for perimeter and area
of a square and a rectangle; calculate the perimeters and areas of these
shapes and combinations of these shapes using the formulas.

Assessment

M.TE.04.07

Find one dimension of a rectangle given one dimension and
its perimeter or area.


M.TE.04.08

Find the side of a square given its area or perimeter.


M.PS.04.09

Solve contextual problems about perimeter and area of
squares and rectangles in compound shapes.


Understand right angles



M.TE.04.10

Identify right angles and compare angles to right angles.


Problemsolving



M.PS.04.11

Solve contextual problems about surface area.


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Data and Probability


GEOMETRY


Understand perpendicular,

parallel, and intersecting lines


G.GS.04.01

Identify and draw perpendicular, parallel, and
intersecting lines using a ruler and a tool or object with a square (90^{o})
corner


Identify basic geometric

shapes and their components, and solve problems


G.GS.04.02

Identify basic geometric shapes including isosceles,
equilateral, and right triangles, and use their properties to solve problems.


G.SR.04.03

Identify and count the faces, edges, and vertices of
basic threedimensional geometric solids including cubes, rectangular prisms,
and pyramids; discover the shape of their faces.


Recognize symmetry and

Transformation


G.TR.04.04

Recognize plane figures that have line symmetry.


G.TR.04.05

Recognize rigid motion transformations (flips, slides, turns) of a twodimensional object.


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Data and Probability


DATA AND
PROBABILITY


Represent and solve

problems for given data


D.RE.04.01

Construct tables and bar graphs from given data.


D.RE.04.02

Order a given set of data, find the median, and specify
the range of values.


D.RE.04.03

Solve problems using data presented in tables and bar
graphs, e.g. compare data represented in two bar graphs and read bar graphs
showing two data sets.


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Numbers and OperationsAlgebraMeasurementGeometry

Data and Probability
