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STANDARDS

Math

Common Core Math

Grade 4: Number and Operations: Fractions

4.NF.A

Extend understanding of fraction equivalence and ordering.

4.NF.A.1

Fully covered
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.A.2

Fully covered
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.B

Build fractions from unit fractions.

4.NF.B.3

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

4.NF.B.3.a

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

4.NF.B.3.b

Fully covered
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.B.3.c

Fully covered
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.B.3.d

Fully covered
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

4.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

4.NF.B.4.a

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

4.NF.B.4.b

Fully covered
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.B.4.c

Fully covered
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.

4.NF.C

Understand decimal notation for fractions, and compare decimal fractions.

4.NF.C.5

Fully covered
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.

4.NF.C.6

Fully covered
Use decimal notation for fractions with denominators 10 or 100.

4.NF.C.7

Fully covered
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.