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IM 6.2.1 Lesson: Introducing Ratios and Ratio Language

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Think of different ways you could sort these figures. What categories could you use? How many groups would you have?

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.

Pause here so your teacher can review your work before moving forward.

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 ________ : ________.
  • There are _______ of one category for every _______ of another category.

Sort your collection into three categories. You can experiment with different ways of arranging these categories. Then, count the items in each category, and record the information in the table.

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 ________ : ________.
  • There are _______ of one category for every _______ of another category.
Pause here so that your teacher can review your sentences.

Make a visual display of your items that clearly shows one of your statements. Be prepared to share your display with the class.

Use two colors to shade the rectangle so there are 2 square units of one color for every 1 square unit of the other color. Click on the square to see a color menu.

The rectangle you just colored has an area of 24 square units. Draw a different shape that does not have an area of 24 square units, but that can also be shaded with two colors in a 2:1 ratio. Shade your new shape using two colors.

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