## Standards with the same topic and subject but for other grades

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify decompositions by using a visual fraction model (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8).

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

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

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

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number (e.g., use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. In general, n × (a/b) = (n × a)/b).

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

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

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

understand a fraction 𝘢/𝘣 with 𝘢 > 1 as a sum of fractions 1/𝘣

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