Five pages on mixed numbers with the same denominator. Page 1 breaks mixed numbers shown on fraction strips into wholes and a fraction, like 2 3/5 = 5/5 + 5/5 + 3/5 = 13/5, then has students shade fractions such as 19/8 and write them as mixed numbers. Page 2 adds by parts: the wholes, then the fractions, so 2 1/5 + 1 3/5 = 3 + 4/5 = 3 4/5; when the fractions make more than 1, students trade, as in 2 4/5 + 1 3/5 = 3 7/5 = 3 + 1 2/5 = 4 2/5. Page 3 subtracts the same way and trades 1 whole when the top fraction is too small (5 1/4 − 2 2/4 = 4 5/4 − 2 2/4), with a whole number minus a mixed number too. Page 4 adds and subtracts on number lines, jumping the whole numbers first, then the parts. Page 5 rounds each mixed number to the nearest whole number to decide whether another student's answer makes sense, then solves four story problems with an equation.
Before page 2, build 2 4/5 and 1 3/5 with fraction strips or fraction circles. Push the wholes together, then the fifths: there are 7 fifths, and 5 of them make another whole. Before page 3, show 5 1/4 with four whole strips and one strip cut into fourths, then cut one more whole into fourths so there are enough fourths to take away. On page 4, say the jumps out loud: "1 3/4, 2 3/4, then 3, 3 1/4."
Measure two things with a ruler to the nearest quarter or eighth of an inch and add the lengths, or find how much longer one is. In the kitchen, ask how much flour is left in a bag of 5 1/4 cups after a recipe uses 2 3/4 cups.
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.
Adding and subtracting mixed numbers that have the same denominator, and renaming mixed numbers and fractions greater than 1. Students break numbers into wholes and fractions on strips, add and subtract the wholes and the fractions, trade 1 whole when needed, jump on number lines, and check answers with estimates.
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