106 Foundations of Mathematical Theme: Civic Life Lesson 15, Part B, Proportion solutions In the previous activity, you began with a college logo that was 2.25" wide by 3.375" long and enlarged it so that the new length was 6 feet. You may have set up a proportion such as: Let x = width. 2.25 %3D 3.375 6. 1) Is the proportion below also a correct representation? If so, how would you solve it? 3.375 6. Credit: chromaco/Fotolia 2.25 Objectives for the lesson You will understand that: O Proportional relationships are based on a constant ratio. O Rules for solving equations can be applied to many types of equations in different forms. You will be able to: O Set up a proportion based on a contextual situation. O Solve a proportion using algebraic methods. Solve each equation. Round to the nearest tenth. 1245 12.7 0.2 2) 8,500 3) 4,200 5 Many small engines for saws, motorcycles, and utility tractors require a mixture of oil and 4) gas. If an engine requires 20 ounces of oil for 5 gallons of gas, how much oil would be needed for 8 gallons of gas? 5) Write your own problem, similar to question 4, about a situation that has meaning in your life. Your example should not use a unit rate (a comparison to 1 such as 35 miles per 1 gallon). Copyright © 2016, The Charles A. Dana Center at the University of Texas at Austin

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106
Foundations of Mathematical
Theme: Civic Life
Lesson 15, Part B, Proportion solutions
In the previous activity, you began with a college logo
that was 2.25" wide by 3.375" long and enlarged it so
that the new length was 6 feet. You may have set up a
proportion such as: Let x = width.
2.25
%3D
3.375
6.
1)
Is the proportion below also a correct
representation? If so, how would you solve it?
3.375
6.
Credit: chromaco/Fotolia
2.25
Objectives for the lesson
You will understand that:
O Proportional relationships are based on a constant ratio.
O Rules for solving equations can be applied to many types of equations in different
forms.
You will be able to:
O Set up a proportion based on a contextual situation.
O Solve a proportion using algebraic methods.
Solve each equation. Round to the nearest tenth.
1245
12.7 0.2
2)
8,500
3)
4,200 5
Many small engines for saws, motorcycles, and utility tractors require a mixture of oil and
4)
gas. If an engine requires 20 ounces of oil for 5 gallons of gas, how much oil would be
needed for 8 gallons of gas?
5)
Write your own problem, similar to question 4, about a situation that has meaning in your
life. Your example should not use a unit rate (a comparison to 1 such as 35 miles per 1
gallon).
Copyright © 2016, The Charles A. Dana Center at the University of Texas at Austin
Transcribed Image Text:106 Foundations of Mathematical Theme: Civic Life Lesson 15, Part B, Proportion solutions In the previous activity, you began with a college logo that was 2.25" wide by 3.375" long and enlarged it so that the new length was 6 feet. You may have set up a proportion such as: Let x = width. 2.25 %3D 3.375 6. 1) Is the proportion below also a correct representation? If so, how would you solve it? 3.375 6. Credit: chromaco/Fotolia 2.25 Objectives for the lesson You will understand that: O Proportional relationships are based on a constant ratio. O Rules for solving equations can be applied to many types of equations in different forms. You will be able to: O Set up a proportion based on a contextual situation. O Solve a proportion using algebraic methods. Solve each equation. Round to the nearest tenth. 1245 12.7 0.2 2) 8,500 3) 4,200 5 Many small engines for saws, motorcycles, and utility tractors require a mixture of oil and 4) gas. If an engine requires 20 ounces of oil for 5 gallons of gas, how much oil would be needed for 8 gallons of gas? 5) Write your own problem, similar to question 4, about a situation that has meaning in your life. Your example should not use a unit rate (a comparison to 1 such as 35 miles per 1 gallon). Copyright © 2016, The Charles A. Dana Center at the University of Texas at Austin
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