Think of different ways you could sort these figures. What categories could you use? How many groups would you have?
1.2
Activity
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.
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.
1.3
Activity
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.
category name
category amount
Write at least two sentences that describe the 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 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.
Student Lesson Summary
A ratio is an association between two or more quantities. There are many ways to describe a situation in terms of ratios. For example, look at this collection:
Here are some correct ways to describe the collection:
The ratio of squares to circles is .
The ratio of circles to squares is 3 to 6.
Notice that the shapes can be arranged in equal groups, which allow us to describe the shapes using other numbers.
There are 2 squares for every 1 circle.
There is 1 circle for every 2 squares.
A ratio is a way to relate 2 or more quantities.
For example, the ratio could describe:
A recipe that uses 3 cups of flour for every 2 eggs.
A boat that moves 3 meters every 2 seconds.
A diagram that has 3 blue squares for every 2 green squares.