Proportional and Nonproportional Relationships

Proportional and Nonproportional Relationships

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

Created by

Thomas White

FREE Resource

In this lesson, Miss Go teaches students how to identify proportional and nonproportional relationships in graphs. Students learn to determine if two quantities are proportional by graphing them on a coordinate plane and checking if the graph is a straight line through the origin. The lesson includes examples of both proportional and nonproportional relationships, with a focus on analyzing tables and plotting points on graphs. Key characteristics of proportional graphs, such as lying on a straight line and passing through the origin, are emphasized.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of today's lesson?

Learning about quadratic equations

Understanding the Pythagorean theorem

Exploring geometric shapes

Identifying proportional and nonproportional relationships in graphs

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if two quantities are proportional using a table?

By adding the input and output values

By dividing the output by the input to find a constant ratio

By subtracting the input from the output

By multiplying the input and output values

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant of proportionality in the given example with candy bars?

2.0

0.5

1.5

3.0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two main characteristics of a proportional graph?

The graph is a curve and does not pass through the origin

The graph is a curve and starts at the origin

The graph is a straight line and passes through the origin

The graph is a straight line and does not pass through the origin

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, why is the relationship not proportional?

The points form a curve and start at the origin

The points form a straight line but do not start at the origin

The points do not form a straight line and do not start at the origin

The points form a straight line but one point does not lie on it

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if a graph starts at the origin but the points do not form a line?

The relationship is quadratic

The relationship is nonproportional

The relationship is proportional

The relationship is linear

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the final example, why is the relationship considered nonproportional?

The line is straight but does not pass through the origin

The line is curved and passes through the origin

The line is straight and passes through the origin

The line is curved and does not pass through the origin

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