bell ringer 1-28-11 the figure is dilated 50%. 1.what type of dilation occurred? 2.calculate the...
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The figure is dilated 50%. 3.Calculate the original area. 4. Calculate the new area. 6 in 3 inTRANSCRIPT
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Bell Ringer1-28-11
The figure is dilated 50%.
1. What type of dilation occurred?2. Calculate the scale factor.3. Calculate the original area.4. Calculate the new area.5. How is the area affected?
6 in
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The figure is dilated 50%.
1. What type of dilation occurred?
2. Calculate the scale factor.Reduction
5.%50
6 in
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The figure is dilated 50%.
3. Calculate the original area.
4. Calculate the new area.
222 04.113)36(14.3)6(14.3 inr
inNewRadius 35.6:
6 in
222 26.28)9(14.3)3(14.3 inr
3 in
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The figure is dilated 50%.
5. How is the area affected?
41
04.11326.28
Original
NewSay NO to Oreos!
The new area is ¼ the size of the original area.
6 in 3 in
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Quiz1-28-11
A 26-foot rope is used to brace a tent pole at the county fair. The rope is anchored 10 feet from the base of the pole. How tall is the tent pole? (HINT: Draw a picture)A. 16 ftB. 24 ftC. 28 ftD. 36 ft
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How tall is the pole?
To find the length of the diagonal, I used the Pythagorean Theorem. I squared the sides that I knew. I subtracted the square of the leg from the square of the hypotenuse. I took the square root of the area to find the length of the pole.
A 26-foot rope is used to brace a tent pole at the county fair. The rope is anchored 10 feet from the base of the pole. How tall is the tent pole? (HINT: Draw a picture)
The pole is 24 feet.
Hypotenuse = 26 ftLeg = 10 ftRight Triangle
222 2610 a6761002 a
100100
5762 a
bft 24
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Speed Test1. Get out a dry erase marker.2. You have 1 minute to complete as many problems as you can.3.We will grade in 1 minute.4. Graph your results. Keep the graph in your notebook.5. We will do this every day.
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Problem of the Week & Word Problem
#4-31. You have 5 minutes to work on the
problem of the week and word problem.2. The problem of the week must follow
the Read, Think, Solve, Justify format.3. When you are finished, turn them in.4. They are due Friday.
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Reach for the StarsTaylor wants to purchase a jacket that
regularly sells for $42. If the jacket is on sale for 20% off, what is the sale price before tax?A. $33.60B. $8.40C. $50.40D. $25.20
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2D & 3D MeasurementRectangle/Rectangular Prism1. A = 35 cm2
2. P = 24 cm3. V = 70 cm3
Rectangular PrismRectangle35 cm2
h = 2 cm
H
3 pts each
1 pt/label
5 pts: not identifying type of figure and shape of the base
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2D & 3D MeasurementTriangle/Triangular Prism1. A = 12 in2
2. P = 18 in3. V = 24 in3
Triangular PrismTriangle12 in2
h = 2 in
3 pts each
1 pt/label
5 pts: not identifying type of figure and shape of the base
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2D & 3D MeasurementCircle/Cylinder 1. A = 113.04 ft2
2. C = 37.68 ft3. V = 1130.4 ft3
CylinderCircle113.04 ft2
h = 10 ft
3 pts each
1 pt/label
5 pts: not identifying type of figure and shape of the base
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Volume of Prisms & Cylinders
Rectangle/Rectangular Prism1. A = 15 in2 ; V = 60 in3
2. A = 70 ft2 ; V = 560 ft3
3. A = 36 yd2 ; V = 216 yd3
4. A = 108 in2 ; V = 540 in3
3 pts each
1 pt/label
5 pts: not identifying type of figure and shape of the base
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Volume of Prisms & Cylinders
Triangle/Triangular Prism5. A = 6 in2 ; V = 36 in3
6. A = 28 ft2 ; V = 140 ft3
7. A = 9 yd2 ; V = 72 yd3
3 pts each
1 pt/label
5 pts: not identifying type of figure and shape of the base
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Volume of Prisms & Cylinders
Circle/Cylinder1. A = 12.56 in2 ; V = 62.8 in3
2. A = 200.96 ft2 ; V = 2009.6 ft3
3. A = 78.5 yd2 ; V = 392.5 yd3
4. A = 113.04 in2 ; V = 452.16 in3
3 pts each
1 pt/label
5 pts: not identifying type of figure and shape of the base
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Class Work: Volume of Pyramids, Cones, &
SpheresYou need your notes. Title the notes:
Volume of Pyramids, Cones, and Spheres
I will check your work at the end of class.
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VolumeThe amount of “stuff” a
container can hold.
• Area is measured in Square units = units2
• Volume is measured in Cubic Units = units3
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Volume of Rectangular Pyramids
Volume = Area of Rectangle (Height)
lwhV31
BhV31
Volume = Area of the Base
(Height)31
31
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Volume
• Identify the type of figure• Identify the shape of the base• Calculate the area of the base• Identify the height• Multiply the area of the base by the height
• Divide by 3• Label (remember to cube 3)
Square PyramidSquare7(7) = 49 ft2
h = 6 ft
98 ft3294)6(49 98
3294
Volume = Area of the Base (Height)3
1
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Volume of Triangular Pyramids
Volume = Area of Triangle (Height)
hbhV )2
(31
BhV31
Volume = Area of the Base
(Height)31
31
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Volume
• Identify the type of figure• Identify the shape of the base• Calculate the area of the base• Identify the height• Multiply the area of the base by the height
• Divide by 3• Label (remember to cube 3)
Triangular PyramidTriangle
B = 18 ft2
h = 11.5 ft
69 ft3207)5.11(18 69
3207
B = Area of the BaseVolume = Area of the Base
(Height)31
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Volume of Cones
Volume = Area of Circle (Height)
hrV 2
31
BhV31
Volume = Area of the Base
(Height)31
31
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Volume
• Identify the type of figure• Identify the shape of the base• Calculate the area of the base• Identify the height• Multiply the area of the base by the height
• Divide by 3• Label (remember to cube 3)
ConeCircle
h = 4 in
66.99 in3
96.200)4(24.50 99.663
96.200
Volume = Area of the Base (Height)3
1What is the volume of a cone with a height of 4 in and a radius of 4 in?
22 24.50)4(14.3 in
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Volume of Spheres
3
34 rV
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Volume of SpheresV = 4/3 πr3
V = 4/3 πr3
V = 4/3 (3.14)(23)V = 4/3 (3.14)(8)V = 4/3 (25.12)
V = 33.49 in3
V 1 00 4 8
3.
What is the volume of a sphere with a radius of 2 in?
3)12.25(4
V
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Class Work
Measuring Up pg. 192: 2, 4pg. 196: 2, 4, 5
Show Every Step!!!