1 What if you wanted to enlarge the dragon mascot from Lesson 4.2.1 to make it big enough to fit on the side of a warehouse? What if you wanted to make.

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Presentation transcript:

1 What if you wanted to enlarge the dragon mascot from Lesson to make it big enough to fit on the side of a warehouse? What if you wanted to make it small enough to fit on a postcard? What numbers could you multiply each side length of the mascot by to make each of these changes? In this lesson, you will investigate the effect of multiplying a quantity by different numbers.

2 53. HOW MANY TIMES? Shane is treasurer of the performing arts club at Jefferson High. He wrote a budget for a trip to New York City. The principal returned his budget with this note: “ Good job, Shane. Your budget is approved with only one change: Please multiply all amounts by. ” When Shane reported this news to the club president, she was overjoyed. “ That ’ s fantastic! ” she said, “ I thought our budget would be cut, not multiplied. Now maybe we can visit Rockefeller Center, too. ” “ Actually, ” Shane replied, “ I ’ m afraid we are going to have to skip a few activities. ” Has the club just received good or bad news? With your team, decide whether the principal’s memo means the club can spend more or less money than Shane had planned. Be ready to explain your ideas to the class.

3 54. Samuel has just become editor for his school newspaper. He is working on reducing and enlarging photos for a page of advertising and needs your help. He knows that he must multiply each side length by the same number for the photographs to look right. However, he is having trouble figuring out what number to choose for different photo layouts. Your Task: Get a copy of the Lesson Resource Page from your teacher. Work with your team to figure out what number Samuel must multiply each side length of his original 3 × 5 photo by to enlarge or reduce it to each of the other indicated sizes.Lesson Resource Page

4 55. Copy the number line shown below on your own paper and mark the location of each of the multipliers (also sometimes called scale factors) from problem Then answer the following questions. Be prepared to explain your ideas to the class. a)Which of the multipliers enlarged the original photo the most? Which one reduced the photo the most? Which number had the least effect on the size of the photo? b)Is there a relationship between the location of each number on the number line and the effect that multiplying the lengths by that number has on the size? Explain.

5 56. The photos for the sports section of the newspaper have arrived! Each photo measures 2 by 3 inches and Samuel needs to lay out a page that requires him to enlarge and reduce them in several ways. Explain which number(s) from the list below Samuel should multiply each side length by to get each of the desired results. Explain your reasoning in each case. a)To make the photo much larger. b)To make the photo slightly larger. c)To make the photo much smaller. d)To make the photo slightly smaller. e)To keep the photo the same size.

6 57. The publishing deadline for the winter edition of the newspaper was approaching, and Samuel and Tammy were arguing about multipliers. Samuel thought that to enlarge the 3-by-5 photo to a 6-by-10, they should multiply by Tammy was sure that they should multiply by Justin said it would be much simpler just to multiply each side by 2. Which student’s method will work? Explain how you know. 58. Samuel needs to enlarge his 3-by-5 photo so it fits on a large poster to advertise the winter issue of the newspaper. The smaller dimension, 3 inches, needs to be enlarged to 8 inches. What should Samuel multiply each side length by to enlarge the photo?

7 Discuss each of the following questions with your team. Then write your ideas as a Learning Log entry. Title this entry “ Fraction Multiplication Number Sense ” and label it with today ’ s date. What kinds of numbers would I multiply by to get answers that are slightly greater than my starting number? A lot greater? What kinds of numbers would I multiply by to get answers that are slightly less than my starting number? A lot less? 60. LEARNING LOG

8 Tonight’s homework is… Review & Preview, problems # Show all work and justify your answers for full credit.