materials needed for this lesson student packet with class notes, exit ticket and problem set graph...

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Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

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Page 1: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Materials Needed for this Lesson

Student packet with Class Notes, Exit Ticket and Problem SetGraph PaperStraight Edge

Page 2: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

7th Grade Module 1-Lesson 8Representing Proportional

Relationships with Equations

Objective:

Use the constant of proportionality to represent proportional relationships by equations in real world contexts as they relate the equations to a corresponding ratio table and/or graphical

representation.

Page 3: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Class Discussion:

How could we use what we know about the constant of proportionality to write an equation?

Page 4: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Classwork: Module 1 Lesson 8

Take out Lesson 8 -- Classwork - sp. 29

Page 5: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Classwork: Module 1 Lesson 8

Page 6: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Classwork: Module 1 Lesson 8

Page 7: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Discussion: Module 1 Lesson 8

Write the pairs of numbers from your chart as ordered pairs; where x = gallons and y = miles driven.

(__,__) (__,__) (__,__)

Constant of proportionality: k = y/xWhat does this ratio mean in context of the problem?

*Discussion of this question should guide students to understanding that the constant is the same as the unit rate and the constant of proportionality is the multiplier in their equation.

Page 8: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Discussion: Module 1 Lesson 8

Equation for your mother's gas records:y = __ x

What are the independent and dependent variables in this context?Independent Variable: Dependent Variable:

*Discussion of variables should lead to students discussing how the variables are represented on a graph; independent (x- value), dependent (y-value).

Page 9: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Classwork: Module 1 Lesson 8

Take out Lesson 8 -- Classwork - sp. 30

Page 10: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Classwork: Module 1 Lesson 8

Page 11: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Closing: Module 1 Lesson 8

How can unit rate be used to write an equation relating two variables that are proportional?

Page 12: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Exit Ticket: Module 1 Lesson 8

a. Determine whether John's wages are proportional to time. If they are, determine the unit rate. If not, explain why not. b. Determine whether Amber's wages are proportional to time. If they are, determine the unit rate. If not, explain why not. c. Write an equation to model the relationship between each person's wages. Identify constant of proportionality for each. Explain what it means in the context of the situation. d. How much would each worker make after working 10 hours? Who will earn more money?e. How long will it take each worker to earn $50?

Page 13: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Problem Set: Module 1 Lesson 8

Homework Due: _______

Continued...

Page 14: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

Problem Set: Module 1 Lesson 8

Page 15: Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

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