Representing Ratios with Diagrams

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Units Convertions.

  • The activity starts with 10 circles and 2 squares. This is alo displayed in two columns A and B on the left.
  • Slowly move the slider to the right to create two rows. Notice how many circles and squares are now displayed both in pictures and in numbers.
  • Continue adding the rows in step-wise manner; 3, 4, 5, …….and noting the ratio of circles to squares. ​

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Interpreting diagrams.

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

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

(1). There were two diagrams that each matched with two different sentences. Which were they?

(2). Diagram _________ matched with both sentences _______ and _______ .

(3). 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.

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Creating a Ratio diagram.

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.

(1). Use your diagram to complete each sentance.

The ratio of __________________ to __________________ to __________________ is ________ : ________ : ________.

(2). To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Use your diagram to complete each sentence.

(a). There are ________ cups of pretzels for every cup of raisins.

(b). There are ________ cups of almonds for every cup of raisins.

(c). A square is 3 inches by 3 inches. What is its area?

(d). A square has a side length of 5 feet. What is its area?

The area of a square is 36 square centimeters. What is the length of each side of the square?

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

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Here is a diagram that describes the cups of green and white paint in a mixture.

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If 30 kids in the class like grape juice, how many kids like pineaple juice?