Bell Ringer1-27-11

Triangle A is dilated to create Triangle B. A B

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?

8 cm

10 cm

4 cm

5 cm

Triangle A is dilated to create Triangle B. A B

1. What type of dilation occurred?

2. Calculate the scale factor.

8 cm

10 cm

4 cm

5 cm

Reduction

2

1

10

5

Original

New

Triangle A is dilated to create Triangle B. A B

3. Calculate the original area.

4. Calculate the new area.

8 cm

10 cm

4 cm

5 cm

2402

80

2

10)8(

2cm

bh

2102

20

2

5)4(

2cm

bh

Triangle A is dilated to create Triangle B. A B

5. How is the area affected?8 cm

10 cm

4 cm

5 cm

4

1

40

10

Original

NewSay NO to Oreos!

The new area is ¼ the size of the original area.

Quiz1-27-11

What is the length of segment BD in the diagram?

A               B

               

               

               

               

               

               

D               C

What is the length of the diagonal?

To find the length of the diagonal, I used the Pythagorean Theorem. I counted the number of units in each leg, and I squared them. I added the squares of the legs together. I took the square root of the area to find the length of the segment.

What is the length of segment BD in the diagram?

The diagonal is 10 units long.

Diagonal or BDLeg = 6 unitsLeg = 8 unitsRight Triangle

gleRightTrianDCBC ;8;6 222 86 c26436 c

2100 c2100 ccunits 10

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.

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.

Reach for the Stars

Four friends go to dinner. The total bill is $65.23. Rebecca pays $18.11. Isaac pays 30% of the bill. Jasmine pays 1/3 of the bill. Kendall pays the remainder. Which friend pays the majority of the bill? A. RebeccaB. IsaacC. JasmineD. Kendall

Class Work: Volume of Prisms & Cylinders

You need your notes. Title the notes: Volume of Prisms and Cylinders

I will check your work at the end of class.

Volume

The amount of “stuff” a container can hold.

• Area is measured in Square units = units2

• Volume is measured in Cubic Units = units3

VolumeFollow these steps in order to calculate

volume of prisms and cylinders:

• 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• Label the answer (remember to cube 3)

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

• Label (remember to cube 3)

5 in

7 in4 in

Rectangular prism

Rectangle

7(4) = 28 in2

h = 5 in

140 in3

140)5(28

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

• Label (remember to cube 3)

6ft

2 ft3 ft

Rectangular prism

Rectangle

2(3) = 6 ft2

h = 6 ft

36 ft3

36)6(6

Volume of Rectangular Prisms

Volume = Area of Rectangle (Height)

lwhV

• 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

• Label (remember to cube 3)

Volume 8yd

3 yd

2 ydTriangular prism

Triangle

h = 8 yd

24 yd3

24)8(3

232

6

2

)3(2yd

• 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

• Label (remember to cube 3)

Volume

5 ft8 ft

10 ft

Triangular prism

Triangle

h = 5 ft

200 ft3

200)5(40

2402

80

2

)8(10ft

Volume of Triangular Prisms

Volume = Area of Triangle (Height)

hbh

V )2(

• 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

• Label (remember to cube 3)

Volume 4 in

7 in

CylinderCircle

h = 7 in

351.68 in3

68.351)7(24.50

2

2

24.50

)16(14.3)4(14.3

in

• 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

• Label (remember to cube 3)

Volume 3 ft

4 ft

CylinderCircle

h = 4 ft

113.04 ft3

04.113)4(26.28

2

2

26.28

)9(14.3)3(14.3

ft

Volume of Cylinders

Volume = Area of Circle (Height)

hrV 2

Class Work

Volume of Prisms & CylindersDo NOT Write on my sheet!

Show Every Step!!!