Students can model fractions in four different ways: picture, addition number sentence, multiplication number sentence and a number line.
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Understand a fraction 𝘢/𝘣 as a multiple of 1/𝘣. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
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. Justify decompositions, e.g., by using a visual fraction model. Examples: 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 addition and subtraction of fractions as joining and separating parts referring to the same whole.
Understand a fraction 𝘢/𝘣 with 𝘢 > 1 as a sum of fractions 1/𝘣.