1. Think of a way to sort your teacher’s collection into two or three categories. Count the items in each category, and record the information in the table.

   category name
   category amount

   Pause here so your teacher can review your work.

2. Write at least two sentences that describe ratios in the collection. Remember, there are many ways to write a ratio:

   • The ratio of one category to another category is to .

   • The ratio of one category to another category is .

Elena mixed 2 cups of white paint with 6 tablespoons of blue paint.

Here is a diagram that represents this situation.

1. Discuss each statement, and circle all those that correctly describe this situation. Make sure that both you and your partner agree with each circled answer.

   1. The ratio of cups of white paint to tablespoons of blue paint is .

   2. For every cup of white paint, there are 2 tablespoons of blue paint.

   3. There is 1 cup of white paint for every 3 tablespoons of blue paint.

   4. There are 3 tablespoons of blue paint for every cup of white paint.

   5. For each tablespoon of blue paint, there are 3 cups of white paint.

   6. For every 6 tablespoons of blue paint, there are 2 cups of white paint.

   7. The ratio of tablespoons of blue paint to cups of white paint is 6 to 2.

2. Jada mixed 8 cups of corn flour with 2 pints of liquid glue to make play clay.

   1. Draw a diagram that represents the situation.

   2. Write at least two sentences describing the ratio of corn flour and glue.

Your teacher will give you cards showing diagrams or sentences that describe the items in different pencil cases. In the diagrams:

• A circle represents a pencil.
• A square represents an eraser.
• A triangle represents a paper clip.

1. Take turns with your partner to match a sentence with a diagram.

   1. For each match that you find, explain to your partner how you know it’s a match.
   2. For each match that your partner finds, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement.
2. After you and your partner have agreed on all of the matches, check your answers with the answer key. If there are any errors, discuss why and revise your matches.

3. There were two diagrams that each matched with two different sentences. Which were they?

   • Diagram matched with both sentences and .

   • Diagram matched with both sentences and .

4. Select one of the other diagrams and invent another sentence that could describe the ratio shown in the diagram.