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21 st Century Lessons

21 st Century Lessons. Area of Right Triangles. Mrs. Thompson Level 1. Agenda:. OBJECTIVE: SWBAT determine the area of any right triangle and defend their method. 1) Warm Up. 2) Getting Ready – Geometry Puzzles. 3) Launch – Strategies for Explore.

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21 st Century Lessons

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  1. 21st Century Lessons Area of Right Triangles Mrs. Thompson Level 1

  2. Agenda: OBJECTIVE: SWBATdetermine the area of any right triangle and defend their method. 1) Warm Up 2) Getting Ready – Geometry Puzzles 3) Launch– Strategies for Explore 4) Explore – Problem Set (Partners & Groups) 5) Summary – Share Solutions & Expand 6) Assessment– Find the Area

  3. Launch This is a right triangle. What is a right triangle? A right triangle is a triangle that has one 90⁰ angle. What is the area of this right triangle? How do you know? How can you show your work/prove your answer? = 1 square unit Agenda

  4. Launch What is the area of the shaded region? How do you know? How can you show your work/prove your answer? Agenda

  5. Explore – Understanding the Strategy • Angela’s Strategy • Draw a “surrounding rectangle” • Determine the area of the rectangle • The area of the triangle is half the area of the rectangle! Do you understand Angela’s strategy? Agenda

  6. Explore - More Part 3 - (10 Min) Finish the worksheet in GROUPS Use Angela’s Strategy to find the area of the remaining triangles on the worksheet. 1-Partners 2-Strategy Check 3-Groups Agenda

  7. Summary (Part 1) 9) 10) 11) 1) 2) 4) 3) 12) 13) 14) 5) 6) Create your own: Click here 7) 8) See All Solutions Agenda To Explore

  8. Summary (Part 2) • Explain the Strategy • Turn and Talk: • Lefty, tell Rightythe strategy for finding the area of ANY right triangle. • Righty, tell Leftythe strategy. • Common Language: • Can you explain the strategy we learned that will work for finding the area of ANY right triangle? • Why does this strategy work? Agenda

  9. Summary (Part 2) • Expand your Thinking • Does this strategy work when there are no grid lines? Agenda

  10. Summary (Part 2) Try It (As a Class): Draw and label a triangle with a base of 5 ft and a height of 10 ft. Then find the area. Area of “Rectangle”: 5 ft x 10 ft = 50 ft2 Area of Triangle 50 ft2 ÷ 2 = 25 ft2 10 ft Oh yeah… Half of 50 is 25! 5 ft Hmmm… Agenda

  11. Summary (Part 2) Independent Practice #1) Draw and label a triangle with a base of 8 in and a height of 3 in. Then find the area. Area of “Rectangle”: 8 in x 3 in = 24 in2 Area of Triangle 24 in2 ÷ 2 = 12 in2 3 in 8 in Oh yeah… Half of 24 is 12! Hmmm… Agenda

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