class 20, november 10, 2015 lessons 3.6 & 3.7. by the end of this lesson, you should understand...

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MATH 092-013 Mathematical Literacy for College Students I Class 20, November 10, 2015 Lessons 3.6 & 3.7

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Page 1: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

MATH 092-013 Mathematical Literacy for

College Students IClass 20, November 10, 2015

Lessons 3.6 & 3.7

Page 2: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

By the end of this lesson, you should understand that:

◦ Addition and subtraction are inverse operations

◦ Multiplication and division are inverse operations

◦ Solving for a variable includes isolating it by “undoing” the actions to it

Lesson 3.6 Objectives

Page 3: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

By the end of this lesson, you should be able to:

◦ Solve for a variable in a linear equation

◦ Explicitly write out the order of operations to evaluate a given expression

Lesson 3.6 Objectives

Page 4: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

Main idea:◦ Solving equations is based on the principle of

undoing operations (and steps) and balancing each operation

Lesson 3.6 Connections

Page 5: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

By the end of this lesson, you should understand:

◦ Proportional relationships are based on a constant ratio

◦ Rules for solving equations can be applied in unfamiliar situations

Lesson 3.7 Objectives

Page 6: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

By the end of this lesson, you should be able to:

◦ Set up a proportion based on a contextual situation

◦ Solve a proportion using algebraic methods

Lesson 3.7 Objectives

Page 7: Class 20, November 10, 2015 Lessons 3.6 & 3.7.  By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations

Main idea:◦ Proportionality preserves the ratio between

values

Main idea:◦ Mathematical rules are consistent: foundational

rules for solving equations can be used on any equation

Lesson 3.7 Connections