th 8 Grade MIU: 4 Pythagorean Theorem

Essential Question How does the Pythagorean Theorem help solve real world problems?

How do we compute the distance and midpoint within problems?

Learning Targets

*I can investigate properties of right triangles by describing the proof and converse of the Pythagorean Theorem.

*I can find the distance between two points by using the Pythagorean Theorem.

*I can solve for the hypotenuse or missing leg of a right triangle by applying the Pythagorean Theorem.

*I can model 2D and 3D real world situations by using the Pythagorean Theorem.

Key Vocabulary – write your own definition or provide your own example for each of the following:

Pythagorean Theorem Converse (of Pythagorean Theorem)

Hypotenuse Leg

Distance Formula Pythagorean Triples

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Self-Evaluation; 8th Grade, MIU 4, Pythagorean Theorem Analyze each of the following skills using the following rubric. Put today’s date under each skill level to indicate your learning progress. Score What does this mean? 4 I understand it, I can do it, and I can comfortably explain it to another learner. 3 I can do this! I am confident that I understand it and think I can apply it. 2 I am learning, but I am not quite there yet. 1 I am not there yet. I need a lot of help.

Skills 1 2 3 4 a. A. I can calculate the area of a square. 8.G.6

B. I can identify the legs and hypotenuse of a right triangle. 8.G.6

C. I can explain a proof of the Pythagorean Theorem. 8.G.6

D. I can explain the converse of the Pythagorean Theorem. 8.G.6

E. I can I can use the Pythagorean Theorem to determine the length of a missing side in a right triangle in a 2D figure. 8.G.7

F. I can I can use the Pythagorean Theorem to determine the length of a missing side in a right triangle in a 3D figure. 8.G.7

G. I can apply Pythagorean Theorem to find the distance between 2 points on a coordinate plane. 8.G.8

H. I can determine how the distance formula relates to the Pythagorean Theorem. 8.G.8

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Billhimer

Helpful Diagrams

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