Upload
ethelbert-strickland
View
217
Download
0
Tags:
Embed Size (px)
Citation preview
DO NOWHomework:
– Perimeter, area & circumference Day 1 Wkst
– Midterms next Tuesday & Wednesday
•Warm-Up: What formulas do you remember for perimeter, area or circumference? Write as many as you can remember
MARCH 17, 2014
Today’s Lesson: Perimeter, Area, &
Circumference
Think about it…
• What is perimeter?–PeRIMeter: The distance around a
figure.
Area of a triangle
5cm
3cm
4cm
A = 1/2bh = 1/2(4)(3) = 6cm2
bhA2
1
Do you rememberthe formula?
What is the perimeter of the triangle?
Area of a rectangle
A = bh = 4x2 = 8in2
lwA
bhA
Do you rememberthe formula?
What is the perimeter of the
rectangle?
Area of a square
• A = bh = 3x3 = 9in2
lwA
bhA
sA
2
Do you rememberthe formula?
What is the perimeter of the square?
Area of a parallelogram
7 cm
Area = bh = (7)(4) = 28 cm2
Perimeter = 5 + 5 + 7 + 7 = 24cm
h = 4 cm5cm
bhA
Do you rememberthe formula?
Area of a trapezoid
10 cm
5 cm
hbb
A
2
21
h = 4 cm
23051042
1cmA
Do you rememberthe formula?
What about pi?(used when we talk about circles)
• What approximate number do we often use for pi?– 3.14– Pi is really a
nonterminating decimal that starts as 3.14159…
Area of a circle
2rA
Do you rememberthe formula?
56.12422 A
Do you remember?
• What is the special word that refers to the perimeter of a circle?
Circumference
• Formula:
• What does the d stand for?– Diameter!
• Diameter is the distance across the circle
– What if you don’t know the diameter?• If you know the radius, you can double it!
– The radius is the distance halfway across the object
dC
Circumference of a circle
dC
56.124 C
HINT!!
• What is a good strategy to use when doing problems that involve perimeter, circumference, or area?– Draw a picture!
You Try
• 1. Mr. Bill’s back yard is in the shape of a rectangle. It took him 600 feet of fence to enclose in his back yard. If the length of the yard is twice as long as the width, what are the dimensions of Mr. Bill’s yard?
#1 - Answer
• length = 200 feet
• width = 100 feet
You Try
• 2. A bicycle tire has a diameter of 24 inches. How far does the bike travel, in inches, when the tire completes 1 revolution?
#2 - Answer
• 75.36 inches
Think about it…
• What is area?– Area: The measure of the region that is
inside a closed plane figure.
You Try
• 3. A package containing a swivel stake and a 10-foot dog chain claims that it gives the dog more room to play than a 10-foot square pen. Is this a true statement and if so, how much more room does it allow the dog to play?
#3 - Answer
• circle = 314 ft2
• rectangle = 100 ft2
• Yes, difference = 214 ft2.
You Try
• 4. Mr. Santiago bought a rug with an area of 2500 square inches. Will the rug fit in the front hall, which is 48 inches by 60 inches?
#4 - Answer
• The area of the hall is 2880 ft2 so it will fit if the dimensions match okay. If the rug is 50 by 50, it will not fit.
Composite Figures
• You may have to look at the individual areas then add or subtract to find the answer.
• What is the area of the “dark blue” region?
8cm
16 cm
8 cm
6 cm
What is the area of the “dark blue” region?
• Area blue = Area of Rectangle – Area of Triangle = (8 x 16) – (½ x 8 x 6) = 128 – 24 = 104 cm2
8cm
16 cm
6 cm
8cm
Composite Figures
Find the area of this polygon
10 cm
5 cm
2 cm6 cm
Graph and find the area
Connections to EOG Assessment:
• A square room with an area of 324 square feet is tiled using square tiles with a side length of 1 foot. How many tiles line each wall of the room?
• A) 17 • B) 18• C) 19• D) 20