Lesson 6: Building Polygons (Part 1)
Let’s build shapes.
Illustrative Math Unit 7.7, Lesson 6 (printable worksheets)
Lesson 6 Summary
The following diagrams explain how to build a polygon when given the side lengths.
Lesson 6.1 True or False: Signed Numbers
Decide whether each equation is true or false. Be prepared to explain your reasoning.
Lesson 6.2 What Can You Build?
- Use the segments in the applet to build several polygons, including at least one triangle and one quadrilateral.
- After you finish building several polygons, select one triangle and one quadrilateral that you have made.
a. Measure all the angles in the two shapes you selected. Note: select points in order counterclockwise, like a protractor.
b. Using these measurements along with the side lengths as marked, draw your triangle and quadrilateral as accurately as possible on separate paper.
Lesson 6.3 Building Diego’s and Jada’s Shapes
- Find the unknown angle measures. Show your thinking. Organize it so it can be followed by others.
a. Diego built a quadrilateral using side lengths of 4 in, 5 in, 6 in, and 9 in.
b. Build such a shape.
- Is your shape an identical copy of Diego’s shape? Explain your reasoning.
a. Jada built a triangle using side lengths of 4 in, 5 in, and 8 in.
b. Build such a shape.
- Is your shape an identical copy of Jada’s shape? Explain your reasoning.
Lesson 6.4 Building Han’s Shape
Han built a shape using side lengths of 3 in, 4 in, and 9 in.
- Build such a shape.
- What do you notice?
Lesson 6 Practice Problems
- A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four side lengths? If so, describe it.
- Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.
- Find x, y, and z.
- How many right angles need to be put together to make:
a. 360 degrees?
b. 180 degrees?
c. 270 degrees?
d. A straight angle?
- Solve each equation.
- a. You can buy 4 bottles of water from a vending machine for $7. At this rate, how many bottles of water can you buy for $28? If you get stuck, consider creating a table.
b. It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches? If you get stuck, consider creating a table.
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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