3RD GRADE NUMBER

3.OA.A.1 Interpret products of whole numbers, e.g. 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.

Relate Addition and Multiplication
Equal Groups

3.OA.A.2 Interpret whole-number quotients of whole numbers, e.g. 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 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.

Identify the Unknown

3.OA.A.4 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, 6x6 =?

Missing Numbers: Division

3.OA.B.5 Apply properties of operations as strategies to multiply and divide. Examples: If 6x4=24 is known then 4x6=24 is also known (Commutative property of multiplication.) 3x5x2 can be found by 3x5=15, then 15x2=30, or by 5x2=10, then 3x10=30 (Associative property of multiplication). Knowing that 8x5=40 and 8x2=16, one can find 8x7 as 8 x (5+2) = (8x5) + (8x2) = 40 +16 =56 (Distributive property).

Turn Your Array
Math Literature Link: Each Orange Had 8 Slices

3.OA.B.6 Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8. 

Division as an Unknown Factor (x5 & x10)

3.OA.C.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8x5=40, one knows 40÷5=8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

Fill the Grid
Multiply It
Division Bump (divisors 2 - 5)
Division Squares (divisors 3 & 6)

3.OA.D.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Word Problems: Two-Step (Set 2)

3.OA.D.9 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.

Roll a Rule (v. 1)
Odd and Even Sums
Odd and Even Products
Patterns in the Addition Table

3.NBT.A.1 Use place value understanding to round whole numbers to the nearest 10 or 100.

Round to the Nearest Hundred
Estimating Sums (v. 1)
Estimating Differences (v. 1)

3.NBT.A.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9x80, 5x60) using strategies based on place value and properties of operations.

Multiply One-Digit Numbers by Multiples of Ten

3.NBT.A.2 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.

Word Problems: Addition and Subtraction within 1,000
Literature Link: 365 Penguins
Close to Zero (3-Digit)

3.NF.A.1 Understand a fraction 1/b as a quantity formed by 1 part when a whole is partitioned into b equal parts: understand a fraction a/b as the quantity formed by a parts of size 1/b.

Making Fraction Strips (v. 1)
My Fraction Bar Riddle
Literature Link: Gator Pie (v. 1-2)

3.NF.A.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.
a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and portioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

Fractions on a Number Line

b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

Roll a Fraction

3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. 

Pizza for Dinner 

b. Recognize and generate simple equivalent fractions e.g., ½ = 2/4, 4/6 = 2/3) Explain why the fractions are equivalent, by using a visual model. 

Equivalent Fractions on a Geoboard

c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

Make One Whole (v. 1)

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 >, =, or < and justify the conclusions, e.g., by using a visual fraction model.

Compare Fractions of a Whole (v. 1)