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Values:. Respect , Integrity , Mathematical Thinking GOAL: MAXIMIZE UNDERSTANDING. Triangles. Quadrilaterals. Regular Polygons. Circles. Prisms. Pyramids. Warm-up. 1.) What types of triangles have you studied? What are characteristics of each one?

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  1. Values: Respect, Integrity, Mathematical Thinking GOAL: MAXIMIZE UNDERSTANDING

  2. Triangles Quadrilaterals Regular Polygons Circles Prisms Pyramids

  3. Warm-up 1.) What types of triangles have you studied? What are characteristics of each one? 2.) Given 2 sides of a right triangle find the third side a.) b.) c.) 6 3 4 3 3 6 3.) What is the name a theorem you might have used to solve these? When do you use it?

  4. By side length: Isosceles Scalene Equilateral By Angle Measure: Acute Obtuse Right

  5. 2.) Given 2 sides of a triangle find the third side a.) Use Pythagorean THM. OR notice that triangle is isosceles & Right => 45/45/90. We’ll come back to this method of solving in today’s lesson 3 3

  6. 2.) Given 2 sides of a triangle find the third side b.) USE PYTHAGOREAN THM 6 3

  7. 2.) Given 2 sides of a triangle find the third side c.) USE PYTHAGOREAN THM OR USE SIMILAR TRIANGLES 4 2 6 3

  8. 3.) What is the name a theorem you might have used to solve these? PYTHAGOREAN THM When do you use it? WITH RIGHT TRIANGLES ONLY

  9. Review: Special Right Triangles 45 º-45 º-90 º triangle Ex. 1.) From warmup. 3 3

  10. Review: Special Right Triangles 45 º-45 º-90 º triangle x

  11. Review: Special Right Triangles 45 º-45 º-90 º triangle Ex. #3.) Answers :EXACT & dominator rationalized 3

  12. Review: Special Right Triangles 30º-60 º-90 º triangle Example From the Warmup 30º 6 60º 3

  13. Review: Special Right Triangles 30º-60 º-90 º triangle Formula: X is the SHORT SIDE: x

  14. Review: Special Right Triangles 30º-60 º-90 º triangle Formula: X is the SHORT SIDE: 30º 4 60º

  15. Area of Triangles: = ½ b*h b is length of the base h is height of triangle

  16. WARM-UP Find a & b 6 3√2 3 a b

  17. 1.) Topic you didn’t understand & what specifically about this problem didn’t you get 2.) What you did to figure out answer (name of example from notes or book that you looked at) & why this didn’t help 3.) Plan to gain understanding of this problem & topic.

  18. Area of Triangles: = ½ b*h ANY TRIANGLE:

  19. Area of Triangles: = ½ b*h Height may be outside triangle

  20. Example: Find Area of Triangle A.) B.) 60º 60º s 3in

  21. Area of a Equilateral Triangle in terms of side length:

  22. Example: Find Area of Triangle 15º 150º 15º 7in

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