Unit 5, Lesson 4
Solve Multiplicative Comparison Problems with Large Numbers
Grade 4
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The purpose of this Warm-up is to elicit the idea that discrete diagrams can be inefficient for representing greater numbers, which will be useful when students interpret and use more abstract tape diagrams later in the lesson. While students may notice and wonder many things about the diagram, ideas and questions for how the student could better represent the comparison are the important discussion points.
What do you notice? What do you wonder?
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The purpose of this activity is for students to interpret and solve multiplicative comparison problems. Students interpret tape diagrams that label each box with a value, which is different from the discrete diagrams from previous lessons. They also write equations to represent the situations and explain how the equations connect to the tape diagrams (MP2). The problems in this activity have unknown lesser quantities, greater quantities, or multipliers. Questions are provided to support students in representing the unknown in tape diagrams and in identifying the unknown in given situations.
Mai and Andre compare the numbers of pages they read on the first day of the reading competition.
diagram. two rectangles. bottom rectangle, Andre's pages. partitioned into 9 equal parts, total length question mark. Top rectangle, Mai's pages. Same size as one of 9 parts of bottom rectangle, labeled 15.
What would be a good estimate for the number of pages Andre read?
The diagram shows the pages Lin and Kiran each read on 1 day of the reading competition.
diagram. two rectangles. bottom rectangle, Kiran's pages. partitioned into 6 equal parts each labeled 9, total length question mark. Top rectangle, Lin's pages. Same size as one of 6 parts of bottom rectangle, labeled 9.
Complete the statement and explain how you know.
Kiran read _____ times as many pages as Lin.
Write a multiplication equation that compares the pages read by Lin and by Kiran.
How many total pages did Kiran read?
Jada read some pages. Han read 60 pages altogether.
diagram. two rectangles. bottom rectangle, Han's pages. partitioned into 3 equal parts each labeled question mark, total length 60. Top rectangle, Jada's pages. Same size as one of the 3 parts of bottom rectangle, labeled question mark.
Elena reads 72 pages. Clare reads 9 pages.
diagram. two rectangles. bottom rectangle, Elena's pages. partitioned into 2 parts. One part labeled 9. Other part unknown. total length, 42. Top rectangle, Clare's pages, same length as left part of bottom rectangle, also labeled 9.
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