Comparing Proportional Relationships

Lesson 4

Let’s compare proportional relationships!

Today’s Goal

• I can compare proportional relationships represented in different ways.

What’s the relationship?

Warm Up

• MLR5: Co-Craft Questions and Problems

The equation y = 4.2x could represent a variety of different situations.

1. Write a description of a situation represented by this equation. Decide what quantities x and y represent in your situation.
2. Make a table and a graph that represent the situation.

Let’s share your situations, tables, and graphs!

• What does the rate of change represent in each situation?
• How did you decide on the scale for your axes?

Summer Jobs

Activity 1

• Group Presentations
• MLR7: Compare and Connect

Each group will be assigned a question set.

For your question set...

create a visual display for the responses to the questions.

• The display should clearly demonstrate your reasoning.
• Use multiple representations to be convincing.

There will be a Gallery Walk after the activity, where your peers will inspect for accuracy.

Complete all 3 problems. Then make a visual display for just one.

• The display should clearly demonstrate your reasoning.
• Use multiple representations to be convincing.

There will be a Gallery Walk after the activity, where your peers will inspect for accuracy.

Let’s take a Gallery Walk!

• Check into how other groups answered the same set of questions.
• Look at how your peers answered questions from the other two scenarios.

Let’s Reflect!

• What representations did you choose to answer the questions? Why?
• What representation did you not use? Why?
• How did you decide what �scale to use when you made �your graph?

Now that you have seen the work of other groups…

is there anything about �your display you would �change if you could?

Are you ready for more?

Han and Clare are still stuffing envelopes. �Han can stuff 20 envelopes in a minute, and Clare can stuff 10 envelopes in a minute. �They start working together on a pile of �1,000 envelopes.

1. How long does it take to finish the pile?
2. Who earns more money?

Let’s reflect!. Use examples from today’s lesson when possible!

• - -

What do you need in order to compare two proportional relationships?

Let’s reflect!. Use examples from today’s lesson when possible!

• - -

What type of wording in a problem statement or description of a situation tells you that you have a rate of change?

Let’s reflect!. Use examples from today’s lesson when possible!

• - -

How did you decide which representation to use to solve the different types of problems?

Today’s Goal

• I can compare proportional relationships represented in different ways.

Different Salt Mixtures

Cool Down