Five pages on comparing with multiplication. Page 1 reads equations as comparisons: 42 = 6 × 7 says 42 is 6 times as many as 7, and also 7 times as many as 6; students write equations for sentences and fill in missing numbers. Page 2 gives a strip diagram for each story, with the unknown in a different place each time: the larger amount (6 times as many as 8), the smaller amount (35 is 5 times as many as what?) or how many times (30 feet is how many times as tall as 5 feet?). Students write an equation with a letter, such as 5 × b = 35, and solve. Page 3 has stories to draw where the smaller amount is unknown, plus two with bigger numbers where the larger amount is unknown. Page 4 divides to compare: how many times as long, as many or as tall. Page 5 puts times as many and how many more side by side, in pairs of stories with the same numbers, so students must read which kind of comparison it is. Every page starts with a worked example.
Build the example from page 2 with cubes: one tower of 8 and six towers of 8 beside it. Ask which tower is "6 times as many", then turn it around: if the six towers make 48, how tall is the one tower? Before page 5, act out "3 more than 7" and "3 times as many as 7" with two students and compare the towers.
Compare things at home with times as many: a 30-foot tree and a 5-foot bush, a dog that weighs 8 times as much as a cat, a book with 4 times as many pages as another. Ask your child to say each comparison two ways, as times as many and as an equation.
This pack supports the following Common Core State Standards for Mathematics:
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Comparing two amounts with times as many, where the unknown can be the larger amount, the smaller amount or how many times as many. Students read equations as comparisons, use strip diagrams, write equations with a letter for the unknown, multiply or divide to solve, and tell times as many apart from how many more.
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