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Grade 4 Math
Grade Level
Content Expectations
At the end of Grade 4 students should be
proficient in the following areas:
Understand an use number notation and
place value
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N.ME.04.01 |
Read and write numbers to 1,000,000; relate them to the
quantities they represent;
compare and order. |
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N.ME.04.02 |
Compose and decompose numbers using place value to
1,000,000's, e.g., 25,068
is 2 ten thousands, 5 thousands, 0 hundreds, 6 tens, and 8 ones. |
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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 value to the place to its
right,
e.g., 1,000 is 10 hundreds. |
Use factors and multiples
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N.ME.04.04 |
Find all factors of any whole number through 50, list
factor pairs, and determine if a
one-digit number is a factor of a given whole number.* |
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N.ME.04.05 |
List the first ten multiples of a given one-digit whole
number; determine if a whole
number is a multiple of a given one-digit whole number.* |
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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.
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N.MR.04.07 |
Use factors and multiples to compose and decompose whole
numbers.* |
Add and subtract whole numbers
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N.FL.04.08 |
Add and subtract whole numbers fluently. |
Multiply and divide whole numbers
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N.ME.04.09 |
Multiply two-digit numbers by 2, 3, 4, and 5 using the
distributive property,
e.g., 21 x 3 = (1 + 20) x 3 = (1 x 3) + (20 x 3) = 3 + 60 = 63. |
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N.FL.04.10 |
Multiply fluently any whole number by a one-digit number and a
three-digit
number by a two-digit number; for a two-digit by one-digit multiplication use
distributive
property to develop meaning for the algorithm. |
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N.FL.04.11 |
Divide numbers up to four-digits by one-digit numbers and by
10. |
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N.FL.04.12 |
Find the value of the unknowns in equations such as a ÷ 10
= 25; 125 ÷ b = 25.* |
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N.MR.04.13 |
Use the relationship between multiplication and division to
simplify computations
and check results. |
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N.MR.04.14 |
Solve contextual problems involving whole number
multiplication and division.* |
Read, interpret and compare decimal fractions
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N.ME.04.15 |
Read and interpret decimals up to two decimal places; relate
to money and
place value decomposition. |
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N.ME.04.16 |
Know that terminating decimals represents fractions whose
denominators are 10,
10 x 10, 10 x 10 x 10, etc., e.g., powers of 10. |
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N.ME.04.17 |
Locate tenths and hundredths on a number line. |
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N.ME.04.18 |
Read, write, interpret, and compare decimals up to two decimal
places. |
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N.MR.04.19 |
Write tenths and hundredths in decimal and fraction forms, and
know the
decimal equivalents for halves and fourths. |
Understand fractions
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N.ME.04.20 |
Understand fractions as parts of a set of objects. |
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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. |
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N.MR.04.22 |
Locate fractions with denominators of 12 or less on the
number line; include mixed
numbers.* |
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N.MR.04.23 |
Understand the relationships among halves, fourths, and
eighths and among
thirds, sixths, and twelfths |
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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.* |
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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., = 1 +
= 1 . |
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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
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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 . * |
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N.MR.04.28 |
Solve contextual problems involving sums and
differences for fractions where one
denominator is a multiple of the other (denominators 2 through 12, and 100).* |
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N.MR.04.29 |
Find the value of an unknown in equations such as + x =
or - y = .* |
Multiply fractions by whole numbers
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N.MR.04.30 |
Multiply fractions by whole numbers, using repeated addition
and area or array
models. |
Add and
subtract decimal fractions
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N.MR.04.31 |
For problems that use addition and subtraction of decimals
through hundredths,
represent with mathematical statements and solve.* |
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N.FL.04.32 |
Add and subtract decimals through hundredths.* |
Multiply and divide decimal fractions
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N.FL.04.33 |
Multiply and divide decimals up to two decimal places by a
one-digit whole number
where the result is a terminating decimal, e.g., 0.42 ÷ 3 = 0.14, but not 5 ÷ 3
= 1.6. |
Estimate
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N.FL.04.34 |
Estimate the answers to calculations involving addition,
subtraction, or multiplication. |
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N.FL.04.35 |
Know when approximation is appropriate and use it to check the
reasonableness
of answers; be familiar with common place-value errors in calculations. |
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N.FL.04.36 |
Make appropriate estimations and calculations fluently with
whole numbers using
mental math strategies. |
Measure using common tools and appropriate units
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M.UN.04.01 |
Measure using common tools and select appropriate units of
measure. |
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M.PS.04.02 |
Give answers to a reasonable degree of precision in the
context of a given problem. |
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M.UN.04.03 |
Measure and compare integer temperatures in degrees. |
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M.TE.04.04 |
Measure surface area of cubes and rectangular prisms by
covering and counting
area of the faces. |
Convert measurement units
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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
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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. |
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M.TE.04.07 |
Find one dimension of a rectangle given the other dimension
and its perimeter
or area. |
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M.TE.04.08 |
Find the side of a square given its perimeter or area. |
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M.PS.04.09 |
Solve contextual problems about perimeter and area of squares
and rectangles in
compound shapes. |
Understand right angles
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M.TE.04.10 |
Identify right angles and compare angles to right angles. |
Problem-solving
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M.PS.04.11 |
Solve contextual problems about surface area. |
Understand perpendicular, parallel, and intersecting lines
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G.GS.04.01 |
Identify and draw perpendicular, parallel, and intersecting
lines using a ruler and
a tool or object with a square (90º) corner. |
Identify basic geometric shapes and their components and solve
problems
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G.GS.04.02 |
Identify basic geometric shapes including isosceles,
equilateral, and right triangles,
and use their properties to solve problems. |
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G.SR.04.03 |
Identify and count the faces, edges, and vertices of basic
three-dimensional
geometric solids including cubes, rectangular prisms, and pyramids; describe the
shape of
their faces. |
Recognize
symmetry and transformations
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G.TR.04.04 |
Recognize plane figures that have line symmetry. |
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G.TR.04.05 |
Recognize rigid motion transformations (flips, slides, turns)
of a
two-dimensional object. |
Represent and solve problems for given data
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D.RE.04.01 |
Construct tables and bar graphs from given data. |
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D.RE.04.02 |
Order a given set of data, find the median, and specify the
range of values. |
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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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