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03 OA A 01

Represent and solve problems involving multiplication and

division.x

03 OA A 01 03-OA.A.01.

Interpret products of whole numbers, eg., interpret 5 x 7 as the total

number of objects in 5 groups of 7 objects each. For example,

describe a context in which a total number of objects can be

expressed as 5 x 7.

x

03 OA A 02 03-OA.A.02.

Interpret whole number quotients of whole numbers; eg. Interpret 56

÷ 8 as the number of objects in each share when 56 objects are

partitioned equally into 8 shares, or as a number of shares when 56

x

03 OA A 03 03-OA.A.03.

Use multiplication and division within 100 to solve word problems in

situations involving equal groups, arrays, and measurement

quantities; eg., by using drawings and equations with a symbol for an

x

03 OA A 04 03-OA.A.04.

Determine the unknown whole number in a multiplication or division

equation relating three whole numbers. For example, determine the

unknown number that makes the equation true in each of the

equations 8 x ? = 48, 5 = ? ÷ 3, 6 x 6 = ?

x

03 OA B 03-OA.B. .

Understand properties of multiplication and the relationship

between multiplication and division.x

03 OA B 05 03-OA.B.05.

Apply properties of operations as strategies to multiply and divide.

(Commutative, Associative, and Distributive Properties)x

03 OA B 06 03-OA.B.06.

Identify, describe, and apply division and multiplication as inverse

operations by interpreting division as an unknown factor problem.

For example, find 32 ÷ 8 by finding the number that makes 32 when

multiplied by 8.

03 OA C 03-OA.C. . Multiply and divide within 100. x

03 OA C 07 03-OA.C.07.

Fluently multiply and divide within 100. By the end of grade 3, know

from memory all products through 10 x 10.

03 OA D 03-OA.D..

Solve problems involving the four operations, and identify and

explain patterns in arithmetic.x

03 OA D 08 03-OA.D.08.

Solve two-step word problems using the four operations. Represent

these problems using a letter standing for the unknown quantity.

Assess the reasonableness of answers using mental computation and

estimation strategies using rounding.

x

03 OA D 09 03-OA.D.09.

Identify arithmetic patterns (including patterns in the addition table or

multiplication table), and explain them using properties of operations.

For example, observe that 4 times a number is always even, and

explain why 4 times a number can be decomposed into two equal

addends.

x

03 NBT A 03-NBT.A. .

Use place value understanding and properties of operations to

perform multi-digit arithmetic.x

03 NBT A 01 03-NBT.A.01.

Use place value understanding to round whole numbers to the nearest

10 or 100.x

03 NBT A 02 03-NBT.A.02.

Fluently add and subtract within 1000 using strategies and algorithms

based on place value, properties of operations, and/or the relationship

between addition and subtraction.

x

03 NBT A 03 03-NBT.A.03.

Multiply one-digit whole numbers by multiples of 10 in the range 10-

90 (eg. 9 x 80, 5 x 60) using strategies based on place value and

properties of operations.

x

03 NBT A 04 03-NBT.A.04.

Read and write numbers to 100,000 using base ten numerals, number

names, and expanded form.

03 NF A 03-NF.A. . Develop understanding as fractions as numbers. x

03 NF A 01 03-NF.A.01.

Represent and interpret a fraction 1/b as the quantity formed by 1 part

when a whole is partitioned into b equal parts; represent and interpret

a fraction a/b as the quantity formed by a parts of size 1/b .

03 NF A 02 03-NF.A.02.

Represent and interpret fractions on a number line with denominators

of 2, 3, 4, 6, and 8.

03 NF A 03 03-NF.A.03.

Explain equivalence of fractions in special cases, and compare

fractions by reasoning about their size.x

03 NF A 03 a 03-NF.A.03.a

Identify two fractions as equivalent if they are the same size, or the

same point on a number line.

03 NF A 03 b 03-NF.A.03.b

Recognize and generate simple equivalent fractions, eg., 1/2 = 2/4,

4/6 = 2/3. Explain why the fractions are equivalent, eg., by using a

visual fraction model.

x

03 NF A 03 c 03-NF.A.03.c

Express whole numbers as fractions, and recognize fractions that are

equivalent to whole numbers. Examples: express 3 in the form of 3 =

3/1, recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a

number line diagram.

x

03 NF A 03 d 03-NF.A.03.d

Compare two fractions with the same numerator or the same

denominator by reasoning about their size. Recognize that

comparisons are valid only when the two fractions refer to the same

whole. Record the results of comparisons with the symbols >, =, <,

and justify the conclusions, e.g., by using a visual model.

x

03 MD A 03-MD.A. .

Solve problems involving measurement and estimation of

intervals of time, money, liquid volumes, and masses of objects.

03 MD A 01 03-MD.A.01. Solve problems involving time and money.

03 MD A 01 a 03-MD.A.01.a

Tell and write time to the nearest minute and measure time intervals

in minutes. Solve word problems involving additions and subtraction

of time intervals in minutes, e.g., by representing the problem on a

number line diagram.

x

03 MD A 01 b 03-MD.A.01.b

Show and determine the value of coin and currency combinations up

to $5.00, determine change from $5.00, and solve problems with

money using addition and subtraction.

03 MD A 02 03-MD.A.02.

Measure and estimate liquid volumes and masses of objects using

standard units of grams (g), kilograms (kg), and liters (l). Add,

subtract, multiply, or divide to solve one-step word problems

involving masses or volumes that are given in the same units, e.g., by

using drawings (such as a beaker with a measurement scale) to

represent the problem.

x

03 MD B 03-MD.B. . Represent and interpret data. x

03 MD B 03 03-MD.B.03.

Draw a scaled picture graph and scaled bar graph to represent a data

set with several categories. Solve one- and two- step "how many

more" and "how many less" problems using information represented

in scaled bar graphs. For example, draw a bar graph in which each

square in the bar graph might represent five hosts.

x

03 MD B 04 03-MD.B.04.

Generate measurement data by measuring lengths using rulers marked

with halves and fourths of an inch. Show the data by making a line

plot, where the horizontal scale is marked off in appropriate units -

whole numbers, halves, or quarters.

x

03 MD C 03-MD.C. .

Geometric measurement: understand concepts of area, and relate

area to multiplication and addition.x

03 MD C 05 03-MD.C.05.

Recognize area as an attribute of a plane figures and understand

concepts of area measurement.x

03 MD C 05 a 03-MD.C.05.a

A square with side length 1 unit, called "a unit square," is said to have

"one square unit" of area , and can be used to measure area.x

03 MD C 05 b 03-MD.C.05.b

A plane figure which can be covered without gaps or overlaps by n

unit squares is said to have an area of n square units.x

03 MD C 06 03-MD.C.06.

Measure areas by counting unit squares (square cm, square m, square

in, square ft, and improvised units).x

03 MD C 07 03-MD.C.07. Relate area to the operations of multiplication and addition. x

03 MD C 07 a 03-MD.C.07.a

Find the area of a rectangle with whole-number side lengths by tiling

it, and show that the area is the same as would be found by

multiplying the side lengths.

x

03 MD C 07 b 03-MD.C.07.b

Multiply whole-number side lengths to find areas of rectangles in the

context of solving real world and mathematical problems, and

represent whole-number products as rectangular areas in

mathematical reasoning.

03 MD C 07 c 03-MD.C.07.c

Use tiling to show in a concrete case that the area of a rectangle with

whole-number side lengths a and b+c is the sum of a x b and a x c .

Use area models to represent the distributive property in mathematical

reasoning.

x

03 MD C 07 d 03-MD.C.07.d

Recognize area as additive. Find areas of rectilinear figures by

decomposing them into non-overlapping rectangles and adding the

areas of the non-overlapping parts, applying this technique to solve

real world problems.

x

03 MD D 03-MD.D. .

Geometric measurement: recognize perimeter as an attribute of

plane figures and distinguish between linear and area measures.x

03 MD D 08 03-MD.D.08.

Solve real world and mathematical problems involving perimeters of

polygons of polygons, including finding the perimeter given the side

lengths, finding an unknown side length, and exhibiting rectangles

with the same perimeter and different areas or with the same area and

different perimeters.

x

03 G A 03-G.A. . Reason with shapes and their attributes. x

03 G A 01 03-G.A.01.

Identify, describe, and classify 3-dimensional shapes, specifically

cube, sphere, prism, pyramid, cone, and cylinder.

03 G A 02 03-G.A.02.

Analyze, compare, and classify 2-dimensional shapes using sides and

angles, and connect these ideas to the definitions of the shapes.

03 G A 03 03-G.A.03.

Draw and analyze 2-dimensional shapes from several orientations,

and examine them for congruency and symmetry.

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Grade An

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Standard SubstandardSub-substandard

PK CC Counting and Cardinality A 1 a

01 OA Operational & Algebraic Thinking B 2 b

02 NBT Number and Operations in Base Ten C 3 c

03 MD Measurement and Data D 4 d

04 NF Numbers and Opertations -- Fractions E 5 e

05 RP Ratios & Proportional Relationship F 6 f

06 NS The Number System G 7 g

07 EE Expressions and Equations H 8 h

08 G Geometry I 9 i

HS SP Statistics and Probability J 10 j

K 11 k

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