DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday...
-
Upload
ethelbert-strickland -
Category
Documents
-
view
218 -
download
0
Transcript of DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday...
![Page 1: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/1.jpg)
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
![Page 2: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/2.jpg)
MARCH 17, 2014
Today’s Lesson: Perimeter, Area, &
Circumference
![Page 3: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/3.jpg)
Think about it…
• What is perimeter?–PeRIMeter: The distance around a
figure.
![Page 4: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/4.jpg)
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?
![Page 5: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/5.jpg)
Area of a rectangle
A = bh = 4x2 = 8in2
lwA
bhA
Do you rememberthe formula?
What is the perimeter of the
rectangle?
![Page 6: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/6.jpg)
Area of a square
• A = bh = 3x3 = 9in2
lwA
bhA
sA
2
Do you rememberthe formula?
What is the perimeter of the square?
![Page 7: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/7.jpg)
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?
![Page 8: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/8.jpg)
Area of a trapezoid
10 cm
5 cm
hbb
A
2
21
h = 4 cm
23051042
1cmA
Do you rememberthe formula?
![Page 9: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/9.jpg)
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…
![Page 10: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/10.jpg)
Area of a circle
2rA
Do you rememberthe formula?
56.12422 A
![Page 11: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/11.jpg)
Do you remember?
• What is the special word that refers to the perimeter of a circle?
![Page 12: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/12.jpg)
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
![Page 13: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/13.jpg)
Circumference of a circle
dC
56.124 C
![Page 14: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/14.jpg)
HINT!!
• What is a good strategy to use when doing problems that involve perimeter, circumference, or area?– Draw a picture!
![Page 15: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/15.jpg)
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?
![Page 16: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/16.jpg)
#1 - Answer
• length = 200 feet
• width = 100 feet
![Page 17: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/17.jpg)
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?
![Page 18: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/18.jpg)
#2 - Answer
• 75.36 inches
![Page 19: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/19.jpg)
Think about it…
• What is area?– Area: The measure of the region that is
inside a closed plane figure.
![Page 20: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/20.jpg)
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?
![Page 21: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/21.jpg)
#3 - Answer
• circle = 314 ft2
• rectangle = 100 ft2
• Yes, difference = 214 ft2.
![Page 22: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/22.jpg)
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?
![Page 23: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/23.jpg)
#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.
![Page 24: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/24.jpg)
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
![Page 25: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/25.jpg)
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
![Page 26: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/26.jpg)
Composite Figures
Find the area of this polygon
10 cm
5 cm
2 cm6 cm
![Page 27: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/27.jpg)
Graph and find the area
![Page 28: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/28.jpg)
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
![Page 29: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/29.jpg)
![Page 30: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/30.jpg)
![Page 31: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/31.jpg)
![Page 32: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/32.jpg)
![Page 33: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/33.jpg)
![Page 34: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/34.jpg)
![Page 35: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/35.jpg)
![Page 36: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/36.jpg)
![Page 37: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/37.jpg)
![Page 38: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/38.jpg)
![Page 39: DO NOW Homework: –Perimeter, area & circumference Day 1 Wkst –Midterms next Tuesday & Wednesday Warm-Up: What formulas do you remember for perimeter, area.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649f165503460f94c2d0b9/html5/thumbnails/39.jpg)