Math Student Work
Math Student Work
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Math A Unit 2 ~ Ratios
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Math A Unit 2

In this activity, Mr. Greenman's class used Tangram pieces to explore ratio. The area of the Tangram pieces can be related to one another. In the example below, two yellow triangles are equivalent to one of the larger red triangles. Therefore, the yellow triangle is 1/6 the size of the three red triangles. The student then expresses the relationship in several different ways.
 

Tangram Blackline Master

Online Tangrams

While exploring this page, connect to online Tangrams to see how the students figured out the relationship between the different Tangram pieces.

Indicator:
6.6.7.2 determine equivalent ratios,
decimals, and percents.

Math A Unit 2
Math A Unit 2

Above, the top example can be explained a few ways. All of the shapes can be related to the small triangle. Or, students can relate the area of the parallelogram directly to the area of the large (red) triangles and the medium (yellow) triangle.

 

By relating ratios first to concrete representations (the Tangram pieces), and then to the pictorial representations here, students gain a stronger understanding of abstract ratios, such as 1:5. This lesson is a good introduction to the exploration of ratios and rates.

Math A Unit 2
 

Tangram Blackline Master
Download Tangram Master
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