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Constant Rates and Proportional Relationships

Constant Rates and Proportional Relationships

Assessment

Interactive Video

•

Mathematics

•

6th - 8th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video lecture covers the concept of proportional relationships, starting with an introduction to constant rates of change. It uses examples like a giant tortoise's movement and Callie's dog-sitting earnings to illustrate how to calculate unit rates and identify proportional relationships. The lecture also explains how to write equations for these relationships and provides a non-proportional example with varying speeds. The session concludes with a school field trip scenario to demonstrate proportionality and ends with a code word for the day.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main concept introduced in the first section of the lecture?

Variable rates of change

Constant rates of change and proportional relationships

Non-linear relationships

Random rates of change

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the unit rate for the tortoise's movement?

By multiplying the distance by time

By subtracting the time from the distance

By adding the distances traveled

By dividing the total distance by the total time

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unit rate of the tortoise's movement in inches per second?

5.5 inches per second

2.5 inches per second

3.5 inches per second

4.5 inches per second

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of Callie's earnings, what is the constant rate of change?

$16 per day

$14 per day

$12 per day

$10 per day

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is Allison's driving speed not considered a proportional relationship?

Because her speed is constant

Because her speed fluctuates

Because she drove the same distance each hour

Because she drove at a decreasing speed

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation represents a proportional relationship between X and Y?

Y = K + X

Y = X/K

Y = KX

Y = X + K

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the cashew pricing example, what is the constant rate of change per pound?

$11.5 per pound

$10.5 per pound

$9.5 per pound

$8.5 per pound

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