Thursday, February 9th• Please complete warm-up• Take out homework (Circle

WKS)Warm-Up

Find the Area each figure 1. 2. 21 in

34 cm

5.6 in

Corny Joke of the Daya tribute to Tanner to week

What do you call two banana peels

A Pair of slippers

Homework Answers

Can you find my mistakes?

Which Area formula matches the shape?

2. a=lw

5. a=s²

4. a=bh

1. a=1/2 bh

3. a=πr²

Flashcard Make one flashcards:

1.Area of a CIRCLE

A=πr²

Flashcard Practice

Why does the Parallelogram

this work?

You can divide any parallelogram into two congruent triangles.

So the area of each triangle is half the area of the parallelogram.

Base

HeightHeight

Base

Why Does The Triangle Work?

Area Of

Circles

Whiteboard Review

Draw a

RADIUS

A line segment with one endpoint at the center of the

circle and the other endpoint on the circle is a radius (plural: radii). It is half the diameter

CenterRadius

Draw a

diameter

A diameter is a line segment that passes through the center of the circle and has both endpoints on the circle.

The length of the diameter is twice the length of the radius.

CenterRadius

Diameter

Draw a

circumference

The distance around a circle is called the circumference.

CenterRadius

Diameter

Circumference

What is Pi

The ratio of the circumference to the diameter, , is the same for any circle. This

ratio is represented by the Greek letter , which is read “pi.”

Cd

Cd

=

Pi

What is the formula for circumference?

The formula for the circumference of a circle is C = d, or C = 2r.

The decimal representation of pi starts with 3.14159265 . . . and goes on forever without repeating. We estimate pi using 3

What is the formula for area of a circle

A=πr²

What is the formula for a rectangle?

A=lw

What is the formula for a parallelogram

A=b x h

What is the formula for area of a triangle

A= ½ b x h

If a rectangle has a width of 10 in and a length of 7 in. What is the area?

70 in²

If a triangle has a height of 6 in. and a base of 4 in. What is

the area?

12 in²

5 Alive

1-4 Find the Area 1.

2.

3.

5.6 cm

2 cm

32 mm

3 ½ ft

6 ft

4.

5. 13.5 cups=______pints

32 in

Find the area of the polygon

Think: Break the polygon apart into rectangles.

Find the area of each rectangle.

1.7 cm

4.9 cm 1.3 cm

2.1 cm

Group Discovery

A = lw A = lw

A = 4.9 • 1.7 A = 2.1 • 1.3Write the formula for the area of a rectangle.A = 8.33 A = 2.73

8.33 + 2.73 = 11.06 Add to find the total area.

The area of the polygon is 11.06 cm2.

1.7 cm

4.9 cm

1.3 cm

2.1 cm

Find the area of the polygon

Think: Break the polygon apart into rectangles.

Find the area of each rectangle

1.9 cm

5.5 cm 1.5 cm 2 cm

1.9 cm

1.5 cm

2 cm

3.4 cm

5.5 cm

Let’s Try Together!

A = lw A = lw

A = 5.5 • 1.9 A = 2 • 1.5Write the formula for the area of a rectangle.A = 10.45 A = 3

10.45 + 3 = 13.45 Add to find the total area.

The area of the polygon is 13.45 cm2

1.9 cm

5.5 cm 1.5 cm 2 cm

You Try!

Think: Break the figure apart into a rectangle and a triangle.

Find the area of each polygon.

36 ft

22 ft

20 ft

20 ft

22 ft

22 ft

16 ft

ChallengeProblem

A = lw

A = 22 • 20

A = 440 A = 176

440 + 176 = 616 Add to find the total area of the polygon.

The area of the polygon is 616 ft2.

A = bh12__

A = • 22 • 1612__

20 ft22 ft

22 ft

16 ft

RealWorld

Application

Interior Designers and architects use composite figures everyday! Look at the floor plan, do you see different

shapes inside?

Classwork

Composite ProjectTask #1 Answer questions 1-3 using the floor plan I gave you

Task #2 On a SEPARATE SHEET OF PAPER create your own floor plan! Your floor plan must create and find the AREA of at least 4 rooms, 1 square room, 1 rectangle room, and 1 triangle room!

Due Friday at the end of the day!