Five pages on multiplying with fractions. Page 1 finds a fraction of a whole number on tape diagrams (3/4 × 8: cut 8 into 4 equal parts and take 3 of them), then the same idea as (a × q) ÷ b, so 3/4 × 10 = 30 ÷ 4 = 7 1/2. Page 2 shades one fraction one way and the other fraction the other way on a square: the parts shaded twice are the product. Then it tiles rectangles with fraction side lengths using small squares, and the area is the two sides multiplied. Page 3 multiplies numerators and denominators, then mixed numbers written as fractions first (2 1/2 × 1 1/3 = 5/2 × 4/3 = 20/6 = 3 1/3). Page 4 is about scaling: without multiplying, decide whether a product is greater than, less than, or equal to the first factor, and say why. Page 5 has story problems about recipes, distances, and gardens.
Before page 1, fold a paper strip into 4 equal parts and label the whole strip 8: one part is 2, three parts are 6. On page 2, have students shade with two colored pencils so the overlap is easy to see. For page 4, ask students to vote with thumbs up or down before anyone multiplies: is 6 × 3/4 more or less than 6?
Halve or double a recipe together: half of 3/4 cup is 3/8 cup. Ask whether the new amount will be more or less than the old one before working it out, and why.
This pack supports the following Common Core State Standards for Mathematics:
© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
A 5-page fractions pack for 5th grade. Find a fraction of a whole number with tape diagrams and as (a × q) ÷ b, multiply a fraction by a fraction on area models, and tile a rectangle with fraction side lengths to see that its area is the sides multiplied. Multiply fractions and mixed numbers with equations and simplify, tell without multiplying whether a product is greater than, less than, or equal to a factor, and solve story problems about recipes, distances, and gardens. Every page comes in color and in black and white. Answer keys included.
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