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Ask students would they rather have $10,000 dollars right now or receive one penny today and double it every day for 30 days? Ask them to explain their answers. Tell them you think they may change their mind after they hear the story you are going to read about doubling in mathematics!

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Writing Equations with Multiplicative Comparison Problems
Things to remember:
1. Multiplicative comparison means you are comparing two things together that need to be multiplied.
2. An equation is just like a number sentence but it includes letters.
3. The letter is called a variable.
Examples:
1) Suzie is 4 feet tall. There is a tree in her yard that is 9 times taller than she is. How tall is the tree in Suzie's yard?
2) The tree in Suzie's yard is 36 feet tall. The tree is 9 times as tall as Suzie. How tall is Suzie?
3) Suzie is 4 feet tall. The tree in her yard is 36 feet tall. How much taller is the tree than Suzie?

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Link to helpful source on introducing multiplicative comparisons

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Link to helpful source on introducing multiplicative comparisons

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It is important to introduce multiplicative comparison problems to our primary students because they can be extended in later years to include multiplication and division of fractions and algebra. Including these problems with whole numbers in the primary grades lays the groundwork for developing an understanding of multiplication and division of fractions in later grades.

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For ELL or students struggling with Language

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For ELL or students struggling with Language

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Students may be unfamiliar with the phrase “times as many.” Write down a few simple problems with this phrase and together draw pictures for the problems. Then rearticulate that each picture shows“____ times as many.”

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Some students may be unsure whether“4 times as many”means“a group plus 4 more groups”or“4 times the number of groups.”It may help these students to think about how 2 times, or twice, as many of something would look. Drawing the problem will help this student.

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Multiply and divide within 100 CCSS.MATH.CONTENT.3.OA.C.7

Understand properties of multiplication and the relationship between multiplication and division. CCSS.MATH.CONTENT.3.OA.B.5

Represent and solve problems involving multiplication and division. CCSS.MATH.CONTENT.3.OA.A.1

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In the story both Peter and Rumpelstiltskin use the magic stick to multiply whole numbers by whole numbers to obtain a larger amount and whole numbers by fractions to obtain a smaller amount.

Elementary students are used to seeing multiplication as a way to get more of something. Create a T-chart and brainstorm situations from the text when more objects resulted and when less objects resulted. Use the book as a guide. Discuss what kind of numbers Rumpelstiltskin and Peter multiplied by to get more and to get less.

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Khan Academy

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Rewrite multiplication equations as comparisons, and comparisons as equations.

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CCSS.MATH.CONTENT.4.OA.A.2
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

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Children's Book: Too Many Kangaroo Things To Do!

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Children's Book: Too Many Kangaroo Things To Do!

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A surprise birthday party planned for a kangaroo by his friends provides many opportunities for the students to add and multiply various things.

This book is a fun way to review previously learned multiplication skills.

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CCSS.MATH.CONTENT.4.OA.A.2
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.