IM 6.2.2 Lesson: Representing Ratios with Diagrams

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Find the value of each expression mentally.

Here is a collection of snap cubes. Choose two of the colors in the image, and draw a diagram showing the number of snap cubes for these two colors.

Share diagrams with a partner. Write a sentence to describe a ratio shown in their diagram. Your partner will do the same for your diagram.

Share the sentence with your partner. If you disagree, explain your thinking.

Elena mixed 2 cups of white paint with 6 tablespoons of blue paint. Here is a diagram that represents this situation.

Select all the statements that correctly describe this situation.

Select all that apply

A
The ratio of cups of white paint to tablespoons of blue paint is .
B
For every cup of white paint, there are 2 tablespoons of blue paint.
C
There is 1 cup of white paint for every 3 tablespoons of blue paint.
D
There are 3 tablespoons of blue paint for every cup of white paint.
E
For each tablespoon of blue paint, there are 3 cups of white paint.
F
For every 6 tablespoons of blue paint, there are 2 cups of white paint.
G
The ratio of tablespoons of blue paint to cups of white paint is 6 to 2.

Check my answer (3)

Jada mixed 8 cups of flour with 2 pints of water to make paste for an art project. Draw a diagram that represents the situation.

Write at least two sentences describing the ratio of flour and water that Jada mixed.

The app below describes different recipes for spaghetti sauce. In the diagrams:

a circle represents a cup of tomato sauce
a square represents a tablespoon of oil
a triangle represents a teaspoon of oregano

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.
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.

Drag the sentences or use the tools to match the sentence to the diagram.

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 ______.

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

Create a diagram in the applet below that represents any of the ratios in a recipe of your choice. Is it possible to include more than 2 ingredients in your diagram?

IM 6.2.2 Lesson: Representing Ratios with Diagrams

Find the value of each expression mentally.

Here is a collection of snap cubes. Choose two of the colors in the image, and draw a diagram showing the number of snap cubes for these two colors.

Elena mixed 2 cups of white paint with 6 tablespoons of blue paint. Here is a diagram that represents this situation.

Jada mixed 8 cups of flour with 2 pints of water to make paste for an art project. Draw a diagram that represents the situation.

Drag the sentences or use the tools to match the sentence to the diagram.

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