Log inSign up for FREE
Library

7th Math 1.8 Classwork A (9/2/22)

Last updated over 2 years ago
12 questions

Math - [Lesson 1.8]

Teacher: Mr. Kovalik (408) 314-1092


Objective and Summary:
SWBAT use the constant of proportionality to represent proportional relationships by equations in real-world contexts
**Use this for problems 1-3**

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

0

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

"For each ... Mr. Figueroa can..."

CFS:
#1: Accurately computes constant of proportionality

0

b) Which equation correctly models the proportional relationship?

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

1

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

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

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

1

Serena--There are 4 cans that hold 12 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

1

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

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


1

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

1

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

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

1

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

1

SPICY (Only complete if you have extra time)
In August, Ms. Bizzell 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.

1

b) A student gave Ms. Bizzell 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:

4

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

4

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