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# Number & Operations – Fractions Activities

#### Preview the standards covered within eSpark’s adaptive, self-paced pathways and assignments for Number & Operations – Fractions Math skills.

3.NF.1

Getting Started with Fractions

Understand a fraction 1/b as the 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.

3.NF.2.a

Fractions on a Number Line

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.

3.NF.2.b

Fractions on a Number Line

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.

3.NF.3.a

Identifying Equivalent Fractions

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

3.NF.3.b

Generating Equivalent Fractions

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.

3.NF.3.c

Whole Numbers as Fractions

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

3.NF.3.d

Comparing Fractions

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.

4.NF.1

Create & Explain Equivalent Fractions

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

4.NF.2

Comparing Fractions

Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).

4.NF.3.a

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

4.NF.3.b

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.

4.NF.3.c

Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

4.NF.4.a

Multiply a Fraction and a Number

Understand a fraction a/b as a multiple of 1/b.

4.NF.4.b

Multiply a Fraction and a Number

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

4.NF.6

Introducing Decimals

Use decimal notation for fractions with denominators 10 or 100.

5.NF.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

5.NF.2

Word Problems: Basic Fractions

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

5.NF.3

Word Problems: Divide Fractions

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

5.NF.4.a

Multiplying Fractions

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.

5.NF.6

Word Problems: Mixed Numbers

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

5.NF.7.a

Dividing Fractions and Numbers

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.

5.NF.7.b

Dividing Fractions and Numbers

Interpret division of a whole number by a unit fraction, and compute such quotients.