Models • ÷ Unit Fractions & Whole Numbers • x Whole Numbers and Fractions

Models • ÷ Unit Fractions & Whole Numbers • x Whole Numbers and Fractions
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This serves as a wonderful reference sheet for students! It includes all the models discussed in regards to dividing unit fractions and whole numbers, as well as, multiplying whole numbers and fractions.

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Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence 𝘢/𝘣 = (𝘯×𝘢)/(𝘯×𝘣) to the effect of multiplying 𝘢/𝘣 by 1.
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