Module 1 lesson 10 proportional relationship and equations
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Transcript of Module 1 lesson 10 proportional relationship and equations
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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December 16, 2016
Representing Proportional Relationships with Equations
12/16/16Module 1, Lesson 10
Homework:Lesson 10 Problem Set Pages 45-46 #1, 4
Do Now
Module 1 Exam Thursday 12/22
Complete Handout
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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December 16, 2016
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Problem Set 45
a. Which variable is the dependent variable and why?
b. Is miles driven proportionally related to gallons of gas consumed? If so what is the equation that relates miles driven to gallons?
c. In any ratio relating gallons and miles driven, will one of the values always be larger, if so, which one?
miles driven depends on gallons used
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Problem Set 46
d. If the number of gallons is known, can you find the miles driven? Explain how this value would be calculated.
e. If the number of miles driven is known, can you find the number of gallons consumed?
f. How many miles could be driven with 18 gallons of gas?
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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December 16, 2016
Problem Set 46
g. How many gallons are used when the car has been driven 18 miles?
h. How many miles have been driven when ½ of a gallon is used?
i. How many gallons have been used when the car has been driven ½ mile?
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Problem Set 46
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Solving Equations Mini-Lesson
a.) 10 = x 45 b.) y = (15)4
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Solving Equations Mini-Lesson
a.) 17 = x 32 b.) y = (11)3
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Define the variables B and H:
Determine the number What is the constant of proportionality?
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December 16, 2016
dependent variable = k(independent variable)
We want to know how long it will take to build any number of birdhouses.
What is the dependent variable?
Constant of Proportionality =
k =
Write the equation using this format.
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Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Is it possible to work part of an hour?
Will a customer want to buy part of a birdhouse?
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Which makes more sense:
**First, we need to find the constant of proportionality (unit rate) for each produce stand.
(cost)"# of ears of corn per dollar" or "dollars per ear of corn"
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Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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December 16, 2016
Which makes more sense:
**First, we need to find the constant of proportionality (unit rate) for each produce stand.
"# of ears of corn per dollar" or "dollars per ear of corn"(cost)
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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December 16, 2016
What will we use for the independent variable?
Which would be the dependent varialbe and why?
Write the equation for each produce stand:
Al's Produce Stand Barbara's Produce Stand
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Questions to Consider
What type of relationship can be modeled using an equation in the form y = kx, and what do you need to know to write an equation in this form?
Give an example of a realworld relationship that can be modeled using this type of equation and explain why.
How do you determine which value is x (independent) and which value is y (dependent)?
Give an example of a realworld relationship that cannot be modeled using this type of equation and explain why.
Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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Module 1 Lesson 10 Proportional Relationship and Equations.notebook
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