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March 31, 2010 Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3 108. Arithmetic: 2, 7/3 109. Geometric: 7, -7 110. Geometric: 6, -6 111. Arithmetic: -49, -63 112. Arithmetic: -42, -56 113. Geometric: 25√5, 125 114. Geometric: 9 √3, 27

March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

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Page 1: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

5.7 Homework Solutions105. Geometric: 3/16, 3/32106. Geometric: 3/8, 3/16107. Arithmetic: 5/2, 3108. Arithmetic: 2, 7/3109. Geometric: 7, -7110. Geometric: 6, -6111. Arithmetic: -49, -63112. Arithmetic: -42, -56113. Geometric: 25√5, 125114. Geometric: 9 √3, 27

Page 2: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

Math 132:Math 132:Foundations of MathematicsFoundations of Mathematics

Amy LewisMath Specialist

IU1 Center for STEM Education

Page 3: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

8.1 Percent, Sales Tax, and Income Tax

• Write equivalent forms of fractions, decimals, and percents.

• Solve applied problems involving sales tax and discounts.

• Determine percent increase or decrease.

Page 4: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

Shopping

• You decide to purchase a graphing calculator for math class. The calculator costs $96, and you pay 6% sales tax. What the total cost of your purchase?

• How did you find this answer?

Page 5: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

Percents

• A numerical representation that expresses values as part of 100.– What does

• 27% mean?• 150% mean?

– What does it mean that • 3 is 20% of 15?• 12 is 60% of 20?

Page 6: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

Discounts!

• A satellite radio player with an original price of $380 is on sale at 35% off. How much did you pay for the player (before taxes)?

• How did you solve this problem?

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March 31, 2010 Math 132: Foundations of Mathematics

Percent Change

• A television regularly sells for $940. The sale price is $611. Find the percent decrease of the sale price from the regular price.

Page 8: March 31, 2010Math 132: Foundations of Mathematics 5.7 Homework Solutions 105. Geometric: 3/16, 3/32 106. Geometric: 3/8, 3/16 107. Arithmetic: 5/2, 3

March 31, 2010 Math 132: Foundations of Mathematics

Percent Change

• I scored a 73 on the first test and an 86 on the second test. What was my percent change in scores?

• What if I went from an 86 to a 73?

Percent Change =

Amount of Change× 100

Original Amount

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March 31, 2010 Math 132: Foundations of Mathematics

Project #1• 2-Page Summary Paper (40 points)• Lesson Plan: Write a lesson plan to be

implemented in your shop. (40 points)• PowerPoint: Create a PowerPoint to

support the instruction for your lesson (20 points)

http://stem.iu1.wikispaces.net

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March 31, 2010 Math 132: Foundations of Mathematics

Project #1

• “What if I don’t teach in a shop???”– You can do an in-depth study of one of the

topics that we have studied thus far.– How would you teach this topic to a class or a

small group of students?

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March 31, 2010 Math 132: Foundations of Mathematics

Homework

• 453: 47, 49, 50, 66• Begin working on your Project.

Next Session: Thursday, April 8