7th Math Unit 1 Day 8 - 9/11

Last updated over 1 year ago

12 questions

7th Math Unit 1 Day 8 - 9/11

Last updated over 1 year ago

12 questions

Objective and Summary:
SWBAT use the constant of proportionality to represent proportional relationships by equations in real-world contexts

Partner Practice
Hybrid—Mr. Pham drives a hybrid car that can go much farther on a single gallon of gas because it also uses electricity to power the car.

a) What does the constant of proportionality represent in the context of the problem?

"For each ... Mr. Pham can..."

CFS:
#1: Accurately computes constant of proportionality

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive?

"With 15 gallons of gas, Mr. Pham..."

CFS:
#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total.

a) What is the constant of proportionality? (Give a number)

"There are ______ tennis balls per can"

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).

CFS:
#2: Accurately represents proportional relationship as an equation

Sprinting--Runny McRunnerson always runs at the same speed. The chart below shows how fast he runs.

a) What does the constant of proportionality represent in the context of the problem?

"For each lap, he takes...."

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run.

CFS:
#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track?

"It would take Runny _______ minutes to run 7 laps"

CFS:
#3: Accurately substitutes values into equation to solve

MEDIUM Problems

In August, Ms. Hines spent $20 buying 16 songs from iTunes.

a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?

Prove using your equation.

**Your exit ticket is 11 and 12. Use this table for both**

Babysitting—Joe works at a daycare. The wages he earns are shown in the table:

a) Write an equation to show the relationship between dollars and hours worked.

CFS:
#1: Accurately computes constant of proportionality
#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day?
Explain your reasoning using the equation.

"If Joe works 11 hours, he would make..."

CFS:
#2: Accurately represents proportional relationship as an equation
#3: Accurately substitutes values into equation to solve

Good work! You can work on the following...
FInd Constant Proportionality 
Equations for Proportional Relationships 
Graphing Proportional Relationships
Unit Rates Practice
HW Practice:
Long Division

7th Math Unit 1 Day 8 - 9/11

7th Math Unit 1 Day 8 - 9/11

Partner Practice

a) What does the constant of proportionality represent in the context of the problem?

"For each ... Mr. Pham can..."

CFS:
#1: Accurately computes constant of proportionality

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive?

"With 15 gallons of gas, Mr. Pham..."

CFS:
#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total.

a) What is the constant of proportionality? (Give a number)

"There are ______ tennis balls per can"

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).

CFS:
#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?

"For each lap, he takes...."

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run.

CFS:
#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track?

"It would take Runny _______ minutes to run 7 laps"

CFS:
#3: Accurately substitutes values into equation to solve

In August, Ms. Hines spent $20 buying 16 songs from iTunes.

a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?

Prove using your equation.

a) Write an equation to show the relationship between dollars and hours worked.

CFS:
#1: Accurately computes constant of proportionality
#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day?
Explain your reasoning using the equation.

"If Joe works 11 hours, he would make..."

CFS:
#2: Accurately represents proportional relationship as an equation
#3: Accurately substitutes values into equation to solve

Partner Practice

a) What does the constant of proportionality represent in the context of the problem?

"For each ... Mr. Pham can..."

CFS:
#1: Accurately computes constant of proportionality

b) Which equation correctly models the proportional relationship?

CFS:
#2: Accurately represents proportional relationship as an equation

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive?

"With 15 gallons of gas, Mr. Pham..."

CFS:
#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total.

a) What is the constant of proportionality? (Give a number)

"There are ______ tennis balls per can"

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).

CFS:
#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?

"For each lap, he takes...."

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run.

CFS:
#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track?

"It would take Runny _______ minutes to run 7 laps"

CFS:
#3: Accurately substitutes values into equation to solve

In August, Ms. Hines spent $20 buying 16 songs from iTunes.

a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?

Prove using your equation.

a) Write an equation to show the relationship between dollars and hours worked.

CFS:
#1: Accurately computes constant of proportionality
#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day?
Explain your reasoning using the equation.

"If Joe works 11 hours, he would make..."

CFS:
#2: Accurately represents proportional relationship as an equation
#3: Accurately substitutes values into equation to solve

b) Which equation correctly models the proportional relationship?

CFS:
#2: Accurately represents proportional relationship as an equation

7th Math Unit 1 Day 8 - 9/11

7th Math Unit 1 Day 8 - 9/11

Partner Practice

a) What does the constant of proportionality represent in the context of the problem?"For each ... Mr. Pham can..."CFS:#1: Accurately computes constant of proportionality

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive? "With 15 gallons of gas, Mr. Pham..."CFS:#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total. a) What is the constant of proportionality? (Give a number)"There are ______ tennis balls per can"CFS:#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).CFS:#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?"For each lap, he takes...."CFS:#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run. CFS:#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track? "It would take Runny _______ minutes to run 7 laps"CFS:#3: Accurately substitutes values into equation to solve

In August, Ms. Hines spent $20 buying 16 songs from iTunes.a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?Prove using your equation.

a) Write an equation to show the relationship between dollars and hours worked. CFS:#1: Accurately computes constant of proportionality#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day? Explain your reasoning using the equation."If Joe works 11 hours, he would make..."CFS:#2: Accurately represents proportional relationship as an equation#3: Accurately substitutes values into equation to solve

Partner Practice

a) What does the constant of proportionality represent in the context of the problem?"For each ... Mr. Pham can..."CFS:#1: Accurately computes constant of proportionality

b) Which equation correctly models the proportional relationship? CFS:#2: Accurately represents proportional relationship as an equation

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive? "With 15 gallons of gas, Mr. Pham..."CFS:#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total. a) What is the constant of proportionality? (Give a number)"There are ______ tennis balls per can"CFS:#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).CFS:#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?"For each lap, he takes...."CFS:#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run. CFS:#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track? "It would take Runny _______ minutes to run 7 laps"CFS:#3: Accurately substitutes values into equation to solve

In August, Ms. Hines spent $20 buying 16 songs from iTunes.a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?Prove using your equation.

a) Write an equation to show the relationship between dollars and hours worked. CFS:#1: Accurately computes constant of proportionality#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day? Explain your reasoning using the equation."If Joe works 11 hours, he would make..."CFS:#2: Accurately represents proportional relationship as an equation#3: Accurately substitutes values into equation to solve

b) Which equation correctly models the proportional relationship? CFS:#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?

"For each ... Mr. Pham can..."

CFS:
#1: Accurately computes constant of proportionality

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive?

"With 15 gallons of gas, Mr. Pham..."

CFS:
#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total.

a) What is the constant of proportionality? (Give a number)

"There are ______ tennis balls per can"

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).

CFS:
#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?

"For each lap, he takes...."

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run.

CFS:
#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track?

"It would take Runny _______ minutes to run 7 laps"

CFS:
#3: Accurately substitutes values into equation to solve

In August, Ms. Hines spent $20 buying 16 songs from iTunes.

a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?

Prove using your equation.

a) Write an equation to show the relationship between dollars and hours worked.

CFS:
#1: Accurately computes constant of proportionality
#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day?
Explain your reasoning using the equation.

"If Joe works 11 hours, he would make..."

CFS:
#2: Accurately represents proportional relationship as an equation
#3: Accurately substitutes values into equation to solve

a) What does the constant of proportionality represent in the context of the problem?

"For each ... Mr. Pham can..."

CFS:
#1: Accurately computes constant of proportionality

b) Which equation correctly models the proportional relationship?

CFS:
#2: Accurately represents proportional relationship as an equation

c) If Mr. Pham filled his car with 15 gallons of gas, how far could he drive?

"With 15 gallons of gas, Mr. Pham..."

CFS:
#3: Accurately substitutes values into equation to solve

Serena--There are 3 cans that hold 9 tennis balls in total.

a) What is the constant of proportionality? (Give a number)

"There are ______ tennis balls per can"

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation to represent the relationship between the number of cans (c) and the total tennis balls (t).

CFS:
#2: Accurately represents proportional relationship as an equation

a) What does the constant of proportionality represent in the context of the problem?

"For each lap, he takes...."

CFS:
#1: Accurately computes constant of proportionality

b) Write an equation that represents the relationship between minutes and laps run.

CFS:
#2: Accurately represents proportional relationship as an equation

c) How long would it take Runny to run 7 laps around the track?

"It would take Runny _______ minutes to run 7 laps"

CFS:
#3: Accurately substitutes values into equation to solve

In August, Ms. Hines spent $20 buying 16 songs from iTunes.

a) Write an equation in the form d=ks to represent the relationship between dollars, d, and songs, s.

b) A student gave Ms. Hines a $50 gift card to iTunes. How many songs can Ms. Bizzell get using that money?

Prove using your equation.

a) Write an equation to show the relationship between dollars and hours worked.

CFS:
#1: Accurately computes constant of proportionality
#2: Accurately represents proportional relationship as an equation

b) How much money would he make if he worked an 11 hour day?
Explain your reasoning using the equation.

"If Joe works 11 hours, he would make..."

CFS:
#2: Accurately represents proportional relationship as an equation
#3: Accurately substitutes values into equation to solve

b) Which equation correctly models the proportional relationship?

CFS:
#2: Accurately represents proportional relationship as an equation