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7.7 Angles, Triangles, and Prisms

I can find unknown angle measures by reasoning about adjacent angles with known measures.
I can recognize when an angle measures $90^\circ$, $180^\circ$, or $360^\circ$.

I can find unknown angle measures by reasoning about complementary or supplementary angles.
I can recognize when adjacent angles are complementary or supplementary.

I can determine if angles that are not adjacent are complementary or supplementary.
I can explain what vertical angles are in my own words.

I can reason through multiple steps to find unknown angle measures.
I can recognize when an equation represents a relationship between angle measures.

I can write an equation to represent a relationship between angle measures and solve the equation to find unknown angle measures.

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.

I can reason about a figure with an unknown angle.
I can show whether or not 3 side lengths will make a triangle.

I understand that changing which sides and angles are next to each other can make different triangles.

Given two angle measures and one side length, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.

Given two side lengths and one angle measure, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.

I can explain that when a three dimensional figure is sliced it creates a face that is two dimensional.
I can picture different cross sections of prisms and pyramids.

I can explain why the volume of a prism can be found by multiplying the area of the base and the height of the prism.

I can calculate the the volume of a prism with a complicated base by decomposing the base into quadrilaterals or triangles.

I can find and use shortcuts when calculating the surface area of a prism.
I can picture the net of a prism to help me calculate its surface area.

I can decide whether I need to find the surface area or volume when solving a problem about a real-world situation.

I can solve problems involving the volume and surface area of children’s play structures.

I can build a triangular prism from scratch.