## Mi Math Standards

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### 3

#### 3.NF.A.2

Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Grade levels
03

#### 3.NF.A.2a

Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning 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.

Grade levels
03

#### 3.NF.A.2b

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.

Grade levels
03

#### 3.NF.A.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Grade levels
03

#### 3.NF.A.3a

Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

Grade levels
03

#### 3.NF.A.3b

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.

Grade levels
03

#### 3.NF.A.3c

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.

Grade levels
03

#### 3.NF.A.3d

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.

Grade levels
03

#### 3.OA.A

Grade 3 » Operations & Algebraic Thinking » Represent and solve problems involving multiplication and division.

#### 3.OA.A.1

Interpret products of whole numbers, e.g., interpret 5 × 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 × 7.

Grade levels
03

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