21 st Century Lessons Area of Right Triangles Mrs. Thompson Level 1 1
Jan 03, 2016
21st Century Lessons
Area of Right TrianglesMrs. Thompson
Level 1
1
Agenda:OBJECTIVE: SWBAT determine the area of any right triangle and defend their method.
1) Warm Up
3) Launch – Strategies for Explore
4) Explore – Problem Set (Partners & Groups)
5) Summary – Share Solutions & Expand
6) Assessment – Find the Area
2) Getting Ready – Geometry Puzzles
7
Launch
Agenda
12
This is a right triangle.
What is the area of this right triangle? How do you know?
How can you show your work/prove your answer?
What is a right triangle?
A right triangle is a triangle that has one 90⁰ angle.
= 1 square unit
Launch
Agenda
13
What is the area of the shaded region?
How do you know?
How can you show your work/prove your answer?
Explore – Understanding the Strategy
Agenda
16
Angela’s Strategy
1)Draw a “surrounding rectangle”
2)Determine the area of the rectangle
3)The area of the triangle is half the area of the rectangle!
Do you understand Angela’s strategy?
Explore - More
Agenda
17
1-Partners
2-Strategy Check3-Groups
Part 3 - (10 Min)
Finish the worksheet in GROUPS
Use Angela’s Strategy to find the area of the remaining triangles on the worksheet.
Summary (Part 1)
Agenda
18
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12) 13) 14)
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To Explore
Explain the Strategy
Turn and Talk: •Lefty, tell Righty the strategy for finding the area of ANY right triangle. •Righty, tell Lefty the strategy.
Common Language:1.Can you explain the strategy we learned that will work for finding the area of ANY right triangle?2.Why does this strategy work?
Summary (Part 2)
Agenda
35
Summary (Part 2)
Agenda
36
Expand your ThinkingDoes this strategy work when there are no grid lines?
Summary (Part 2)
37
Area of “Rectangle”: 5 ft x 10 ft = 50 ft2
Area of Triangle50 ft2 ÷ 2 = 25 ft2
5 ft
10 ft
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.
Hmmm…
Oh yeah… Half of 50 is 25!
Agenda
Summary (Part 2) Independent Practice
38
Area of “Rectangle”: 8 in x 3 in = 24 in2
Area of Triangle24 in2 ÷ 2 = 12 in2
3 in
8 in
#1) Draw and label a triangle with a base of 8 in and a height of 3 in. Then find the area.
Hmmm…
Oh yeah… Half of 24 is 12!
Agenda