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Illustrative Math
Grade 8
Let’s investigate the squares and their side lengths.
Illustrative Math Unit 8.8, Lesson 1 (printable worksheets)
The following diagram shows how we may find the area of a square but we don’t know the side lengths.
Which shaded region is larger? Explain your reasoning.
Find the area of each shaded square (in square units).
Any triangle with a base of 13 and a height of 5 has an area of 65/2.
Both shapes in the figure have been partitioned into the same four pieces. Find the area of each of the piece and verify the corresponding parts are the same in each picture. There appears to be one extra unit of area in the right figure than in the left one. If all of the pieces have the same area, how is this possible?
The slope of the hypotenuse of the blue triangle is 3/8.
The slope of the hypotenuse of the yellow triangle is 2/5.
The slopes of the blue triangle and yellow triangle are not the equal and so the pieces don’t really form a triangle.
Use the applet to determine the total area of the five shapes, D, E, F, G, and H. Assume each small square is equal to 1 square unit.
Open Applet
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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