Proportional vs. Nonproportional Relationships in Math

In this Math Matters lesson, Mrs. Halpin introduces multiplicative and additive relationships using arcade scenarios. The lesson explores these relationships through tables, pictures, numbers, and graphs. Students learn to identify proportional and non-proportional relationships and analyze them using different representations. The lesson concludes with a summary of key concepts and a preview of future topics.

What materials do you need for this lesson?

• A computer and a mouse

• A textbook and a notebook

• A paper and a pencil

• A calculator and a ruler

In Scenario 1, how much does Julia's arcade charge per game?

• $1 per game

• $2 per game

• $3 per game

• $4 per game

In Scenario 2, what is the entrance fee at Lauren's arcade?

• $1

• $3

• $5

• $7

Which table represents a multiplicative relationship?

• Table D

• Table A

• Table C

• Table B

What is the ratio of dollars to games in the proportional relationship?

• 3 to 1

• 4 to 1

• 5 to 1

• 6 to 1

Which type of relationship is shown by adding one more each time?

• Additive

• Proportional

• Multiplicative

• Exponential

What do both graphs show about the relationship between games and cost?

• A constant line

• An increasing line

• A decreasing line

• A fluctuating line

Which graph would travel through the origin if extended?

• Julia's graph

• Lauren's graph

• Neither graph

• Both graphs

Which tables show a proportional relationship?

• Tables B and C

• Tables C and D

• Tables A and B

• Tables A and D

What did we learn about in today's episode?

• Neither multiplicative nor additive relationships

• Both multiplicative and additive relationships

• Multiplicative relationships only

• Additive relationships only