IM 7.7.6 Lesson: Building Polygons (Part 1)

Decide whether each equation is true or false.
[math]4\cdot\left(-6\right)=\left(-6\right)+\left(-6\right)+\left(-6\right)+\left(-6\right)[/math]
Explain your reasoning.
[math]-8\cdot4=\left(-8\cdot3\right)+4[/math]
Explain your reasoning.
[math]6\cdot\left(-7\right)=7\cdot\left(-7\right)+7[/math]
Explain your reasoning.
[math]-10-6=-10-\left(-6\right)[/math]
Explain your reasoning.
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.[br][br]Measure all the angles in the two shapes you selected. Note: select points in order counterclockwise, like a protractor. List the angle measures.
Using these measurements along with the side lengths as marked, draw your triangle and quadrilateral as accurately as possible on the grid.
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.[br][br][img]data:image/png;base64,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[/img]
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.[br][br][img]data:image/png;base64,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[/img]
Han built a polygon using side lengths of 3 in, 4 in, and 9 in. Build such a shape.
What do you notice? 

IM 7.7.6 Practice: Building Polygons (Part 1)

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 [math]x[/math], [math]y[/math], and [math]z[/math].[br][br][img]data:image/png;base64,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[/img]
How many right angles need to be put together to make:[br][list=1][*]360 degrees?[/*][*]180 degrees?[/*][*]270 degrees?[/*][*]A straight angle?[/*][/list]
Solve each equation.
[math]\frac{1}{7}\left(x+\frac{3}{4}\right)=\frac{1}{8}[/math]
[math]\frac{9}{2}=\frac{3}{4}\left(z+\frac{2}{3}\right)[/math]
[math]1.5=0.6(w+0.4)[/math]
[math]0.08\left(7.97+v\right)=0.832[/math]
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.
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.

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