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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:. - PowerPoint PPT Presentation
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Welcome to Geometry!
Learning Target:
I will formulate algebraic expressions for areas of composite figures.
Welcome to Geometry!1. Sit in your assigned seat.2. Write down your learning target. 3. Silently start your warm-up for today.
Solve for the perimeter AND area of both shapes
1. 2.
36°
12
16
6
9
54°
1. Sit in your assigned seat.
2. Write down your learning target.
3. Silently work on your warm-up.
Learning Target:
You have 5 minutes
1. Sit in your assigned seat.
2. Write down your learning target.
3. Silently work on your warm-up.
You have 4 minutes
You have 3 minutes
1. Sit in your assigned seat.
2. Write down your learning target.
3. Silently work on your warm-up.
You have 2 minutes
1. Sit in your assigned seat.
2. Write down your learning target.
3. Silently work on your warm-up.
You have 1 minutes
1. Sit in your assigned seat.
2. Write down your learning target.
3. Silently work on your warm-up.
Time’s Up!
1. Pencils Down2. Body Forward
3. Eyes on Ms. Chui4. Mouth Closed
Ready for Success!Learning
Target:I will evaluate my quiz results and improve my
knowledge of area and perimeter.
Learning Target:
Solve for the perimeter AND area of both shapes
1. 2.
I will formulate algebraic expressions for areas of composite figures.
36°
12
16
6
9
54°
FLO APPLICATIONS
DUE THIS FRIDAY!• Sea Camp
• Young Writers Workshop• CATALYST & CURIE Academies• BlueStamp Engineering• Student Conservation Association
FINISH YOUR APPLICATION!!!!!!
This week…
Character Challenge!
Yesterday
1st period:MelanieYeseniaJose S.Kenya
2nd period:JulissaSyvonEmily
3rd period:KaylynnJose C.Shawn
4th period:GuadalupeVictoriaEmmanuelYazmineJennifer
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!!
Today:
What is the area of the square?
5
What is the area of the square?
x
(x +1)
(x +1)
What is the area of the square?
A = (x+1)(x+1)
(x +1)
(x +1)
A = (x+1)(x+1)
A = x2+2x+1
(x +1)
(x +1)
10What if this height were…
2.5
What is the area of the rectangle?
10What if this height were…
a
What is the area of the rectangle?
10What if this height were…
a-1
What is the area of the rectangle?
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) = ? 3(a+b) = ? (2x)(x) = ?
And pay attention!
TrapezoidA = ½ (b1 + b2) (h)
Trapezoid½ (b1 + b2) (h)
A = ½ (b1 + b2) (h)
= ½ (x + 2x) (4)
Trapezoid½ (b1 + b2) (h)
A = ½ (b1 + b2) (h)
= ½ (x + 2x) (4)
= ½ (3x) (4)
= ½ (12x)
= 6x units2
You try!
TriangleA = ½ bh
A = ½ bh
TriangleA = ½ bh
A = ½ bhA = ½ (8)(20-x)
A = ½ (160-8x)
A = 80 – 4x units2
Now add! Expression for Total Area: _____________
y
3y
5
9
What is our first step in tackling this problem?
Trapezoid
Rectangle
A= ½ (b1 + b2) (h)
Now add! Expression for Total Area: _____________
y
3y
5
9
A= bh
Trapezoid
Rectangle
A= ½ (b1 + b2) (h) =
9
3y – y = 2y
½ (5 +9) (2y) =
Now add! Expression for Total Area: _____________
y
3y
5
9
A= bh
Trapezoid
Rectangle
A= ½ (b1 + b2) (h) =
9
3y – y = 2y
½ (5 +9) (2y) = ½ (14) (2y) =
Now add! Expression for Total Area: _____________
y
3y
5
9
½ (28y) = (14y)
A= bh = 9y
14y + 9y =
23y units2
A= ½ (b1 + b2) (h)
A= ½ (b1 + b2) (h)
x
2x
A= ½ (b1 + b2) (h)
x
2x
240 = ½ ( x + 2x) (16)
A= ½ (b1 + b2) (h)
x
2x
240 = ½ ( x + 2x) (16)
240 = ½ ( 3x) (16)
240 = ½ (48x)
24x240 = 24 24
10 = x
A= ½ (b1 + b2) (h)
x
2x
240 = ½ ( x + 2x) (16)
240 = ½ ( 3x) (16)
240 = ½ (48x)
24x240 = 24 24
10 = x
10
2(10) = 20
Today:
