Five pages on dividing with unit fractions. Page 1 shares 3 pizzas among 4 friends to show that 3 ÷ 4 = 3/4, then shares sandwiches, pies, and waffles drawn as bars and circles, and solves sharing problems whose answers are mixed numbers, naming the two whole numbers each share is between. Page 2 divides a unit fraction by a whole number on area models: to find 1/3 ÷ 4, cut every third into 4 pieces, and one piece is 1/12 of the whole. Students then divide and check by multiplying, as in 1/12 × 4 = 4/12 = 1/3. Page 3 finds how many unit fractions fit in a whole number, such as 4 ÷ 1/3 = 12, by drawing jumps on number lines and counting the parts of fraction strips, then checks each answer by multiplying. Page 4 mixes both kinds: write the equation a model shows, circle the division that matches a model, and find missing numbers next to the multiplication that checks them. Page 5 has eight story problems, such as how many 1/4-cup scoops fill 3 cups and how much cheese each of 3 friends gets from 1/2 pound.
Start page 1 with real paper circles: cut 3 into fourths and hand them out to 4 students, so everyone sees 3 ÷ 4 = 3/4. Before page 2, fold a strip of paper into thirds, shade one third, and fold it again into 4: ask how many pieces the whole strip has now. Before page 3, count jumps of 1/2 on a number line from 0 to 3 together and ask why the answer is bigger than 3.
Cook together with measuring cups: ask how many 1/4-cup scoops make 2 cups, then check by pouring. Share a half sandwich or half a pizza among family members and ask what part of the whole each person gets.
This pack supports the following Common Core State Standards for Mathematics:
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A 5-page fraction division pack for 5th grade. See a fraction as a division by sharing pizzas, sandwiches, and cookies, and write each share as a fraction or a mixed number. Divide a unit fraction by a whole number on area models, find how many unit fractions are in a whole number on number lines and fraction strips, and check every answer by multiplying. Then write the equation a model shows, find missing numbers, and solve story problems about scoops, laps, ribbon, and sharing. Every page comes in color and in black and white. Answer keys included.
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