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Welcome to Geometry!. Welcome to Geometry!. Solve for the perimeter AND area of both shapes. 16. 54 °. 1. 2. 12. 9. Sit in your assigned seat. Write down your learning target. Silently start your warm-up for today. 36 °. 6. Learning Target:.
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Welcome to Geometry! Welcome to Geometry! Solve for the perimeter AND area of both shapes 16 54° 1. 2. 12 9 Sit in your assigned seat. Write down your learning target. Silently start your warm-up for today. 36° 6 Learning Target: I will formulatealgebraic expressions for areas of composite figures.
You have5 minutes Sit in your assigned seat. Write down your learning target. Silently work on your warm-up. Learning Target:
You have 4 minutes Sit in your assigned seat. Write down your learning target. Silently work on your warm-up.
Sit in your assigned seat. Write down your learning target. Silently work on your warm-up. You have3 minutes
Sit in your assigned seat. Write down your learning target. Silently work on your warm-up. You have2 minutes
Sit in your assigned seat. Write down your learning target. Silently work on your warm-up. You have1 minutes
Time’s Up! Ready for Success! Learning Target: I will evaluate my quiz results and improve my knowledge of area and perimeter. 1. Pencils Down 2. Body Forward 3. Eyes on Ms. Chui 4. Mouth Closed
Solve for the perimeter AND area of both shapes 1. 2. 16 54° 12 9 36° 6 Learning Target: I will formulatealgebraic expressions for areas of composite figures.
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This week… Character Challenge!
Yesterday 1st period: Melanie Yesenia Jose S. Kenya 2nd period: Julissa Syvon Emily 3rd period: Kaylynn Jose C. Shawn 4th period: Guadalupe Victoria Emmanuel Yazmine Jennifer
Shout out to… • Cindy • Demonstrated urgency by coming to tutorials to make up warm-ups from absence! • Jahkar • Demonstrated urgency by working through all his missed quiz questions at tutorials. Solved the Challenge problem!!
What is the area of the square? (x +1) (x +1)
(x +1) (x +1) A = (x+1)(x+1)
(x +1) (x +1) A = (x+1)(x+1) A = x2+2x+1
What is the area of the rectangle? 10 What if this height were… 2.5
What is the area of the rectangle? 10 What if this height were… a
What is the area of the rectangle? 10 What if this height were… a-1
We can express area even if we don’t have all the numbers yet!
Just trust in your New Best Friend…. Your algebra skills…. (2x)(x) = ? (2x)(x) = ? 3(a+b) = ? And pay attention!
Trapezoid A = ½ (b1 + b2) (h)
Trapezoid ½ (b1 + b2) (h) A = ½ (b1 + b2) (h) = ½ (x + 2x) (4)
Trapezoid ½ (b1 + b2) (h) A = ½ (b1 + b2) (h) = ½ (x + 2x) (4) = ½ (3x) (4) = ½ (12x) = 6x units2
Triangle A = ½ bh A = ½ bh
Triangle A = ½ bh A = ½ bh A = ½ (8)(20-x) A = ½ (160-8x) A = 80 – 4x units2
What is our first step in tackling this problem? 5 3y y 9 Now add! Expression for Total Area: _____________
5 3y y 9 A= ½ (b1 + b2) (h) Trapezoid Rectangle A= bh Now add! Expression for Total Area: _____________
5 = 2y 3y – y 3y 9 y 9 A= ½ (b1 + b2) (h) = Trapezoid ½ (5 +9) (2y) = Rectangle A= bh Now add! Expression for Total Area: _____________
5 3y – y = 2y 3y 9 y 9 Trapezoid A= ½ (b1 + b2) (h) = ½ (5 +9) (2y) = ½ (14) (2y) = ½ (28y) = (14y) Rectangle = 9y A= bh 14y + 9y = units2 23y Now add! Expression for Total Area: _____________
240 = 240 =
A= ½ (b1 + b2) (h) 240 = 240 =
x 2x A= ½ (b1 + b2) (h)
x 2x A= ½ (b1 + b2) (h) + 2x) x 240 = (16) ½ ( 240 = 240 =
x 2x 24x 240 = A= ½ (b1 + b2) (h) 24 24 + 2x) x 240 = (16) ½ ( (16) 3x) 240 = ½ ( 10 = x 240 = 240 = ½ (48x) 240 =
x 10 2(10) = 20 2x 24x 240 = A= ½ (b1 + b2) (h) 24 24 + 2x) x 240 = (16) ½ ( (16) 3x) 240 = ½ ( 10 = x 240 = 240 = ½ (48x) 240 =