Embedded Files
Learning Targets
- I can show that the 3 side lengths that form a triangle cannot be rearranged to form a different triangle.
- I can show that the 4 side lengths that form a quadrilateral can be rearranged to form different quadrilaterals.
Notes
Notes
Sometimes we are given a polygon and asked to find the lengths of the sides. What options do you have if you need to build a polygon with some side lengths? Sometimes, we can make lots of different figures. For example, if you have side lengths 5, 7, 11, and 14, here are some of the many, many quadrilaterals we can make with those side lengths:
Sometimes, it is not possible to make a figure with certain side lengths. For example, 18, 1, 1, 1 (try it!).
We will continue to investigate the figures that can be made with given measures.
Activities
Activities
6.1 True or False: Signed Numbers
6.1 True or False: Signed Numbers
Decide whether each equation is true or false. Be prepared to explain your reasoning.
4 • (-6) = (-6) + (-6) + (-6) + (-6)
-8 • 4 = ( -8 • 3) + 4
6 • (-7) = 7 • (-7) + 7
-10 - 6 = -10 - (-6)
6.3 Building Diego’s and Jada’s Shapes
6.3 Building Diego’s and Jada’s Shapes
Use the Applet to complete this activity and the next.
- Diego built a quadrilateral using side lengths of 4 in, 5 in, 6 in, and 9 in.
- Build such a shape.
- Is your shape an identical copy of Diego’s shape? Explain your reasoning.
- Jada built a triangle using side lengths of 4 in, 5 in, and 8 in.
- Build such a shape.
- Is your shape an identical copy of Jada’s shape? Explain your reasoning.
6.4 Building Han’s Shape
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?
Add to Your Notes
Add to Your Notes
How is building a triangle with three given side lengths different from building a quadrilateral with four given side lengths?
- the triangle has to be a specific one
- the quadrilateral might be a lot of different things by changing the angles
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