6-5. LEARNING LOG - Special Right Triangles

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Presentation transcript:

6-5. LEARNING LOG - Special Right Triangles Explain what you know about side length patterns in 30°‑60°‑90° and 45°-45°-90° triangles. Include diagrams of each type of triangle. Describe how special right triangles are connected to what you have learned about similar triangles. Finish 45-45-90 and 30-60-90 sheets if not done

HW: 6-19,21,22,24 6.1.2 Pythagorean Triples December 4, 2018

Objectives CO: SWBAT use the patterns of Pythagorean Triples to solve for missing side lengths in right triangles. LO: SWBAT discuss with teammates as they look for patterns and apply them in right triangles.

Progress chart Hot potato/ 6-12. Use the tools you have developed thus far to determine the lengths of the missing sides of the triangles below. If you see a pattern that can be used, share it with your team. Be ready to share your strategies with the class. Progress chart Hot potato/ Have students come up and put work/answers on board as they are all working

3 done 6 done 9 done Purple Stripes Blue Green Pink Orange Yellow Red Progress Chart 3 done 6 done 9 done Purple Stripes Blue Green Pink Orange Yellow Red

Progress chart Hot potato/ 6-12. Use the tools you have developed thus far to determine the lengths of the missing sides of the triangles below. If you see a pattern that can be used, share it with your team. Be ready to share your strategies with the class. 5 6 3 3 3 2 6 4 3 Progress chart Hot potato/ 10 13 8 39 40 5000

6-13. Karl noticed some patterns as he was determining the side lengths of the triangles in problem 6‑12. He recognized that the side lengths in parts (c), (d), (f), (g), (h), and (i) were integers. He also noticed that knowing the triangle side lengths in part (c) can help determine the hypotenuse in parts (d) and (g). Groups of numbers like 3, 4, 5 and 5, 12, 13 are called Pythagorean Triples. 6-18. LEARNING LOG - Pythagorean Triples Explain what you know about Pythagorean Triples. Include examples. Explain how Pythagorean Triples are connected to what you have learned about similar triangles.

6-14. With your team, determine the missing side lengths for each triangle below. Try to use your side length patterns whenever possible. (optional) 30 25 6.5 6.5 3 25 2 3 2 14 14 3 Each group presents one 48 6 2 =3 2