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Bell Ringer 1-27-11

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Triangle A is dilated to create Triangle B.

A B

- What type of dilation occurred?
- Calculate the scale factor.
- Calculate the original area.
- Calculate the new area.
- How is the area affected?

5 cm

10 cm

8 cm

4 cm

Triangle A is dilated to create Triangle B.

A B

- What type of dilation occurred?
- Calculate the scale factor.

Reduction

5 cm

10 cm

8 cm

4 cm

Triangle A is dilated to create Triangle B.

A B

- Calculate the original area.
4. Calculate the new area.

5 cm

10 cm

8 cm

4 cm

Triangle A is dilated to create Triangle B.

A B

5. How is the area affected?

Say NO to Oreos!

5 cm

10 cm

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

8 cm

4 cm

What is the length of segment BD in the diagram?

What is the length of segment BD in the diagram?

What is the length of the diagonal?

Diagonal or BD

Leg = 6 units

Leg = 8 units

Right Triangle

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.

The diagonal is 10 units long.

Speed Test

1. Get out a dry erase marker.

2. You have 1 minute to complete as many problems as you can.

We will grade in 1 minute.

4. Graph your results. Keep the graph in your notebook.

5. We will do this every day.

#4-3

1. 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.

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. Rebecca

B. Isaac

C. Jasmine

D. Kendall

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

I will check your work at the end of class.

The amount of “stuff” a container can hold.

- Area is measured in
Square units = units2

- Volume is measured in
Cubic Units = units3

Follow 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)

5 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)

4 in

7 in

Rectangular prism

Rectangle

7(4) = 28 in2

h = 5 in

140 in3

6ft

- 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)

3 ft

2 ft

Rectangular prism

Rectangle

2(3) = 6 ft2

h = 6 ft

36 ft3

Volume = Area of Rectangle (Height)

8yd

3 yd

- 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)

2 yd

Triangular prism

Triangle

h = 8 yd

24 yd3

8 ft

- 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 ft

10 ft

Triangular prism

Triangle

h = 5 ft

200 ft3

Volume = Area of Triangle (Height)

4 in

7 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)

Cylinder

Circle

h = 7 in

351.68 in3

3 ft

4 ft

- 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)

Cylinder

Circle

h = 4 ft

113.04 ft3

Volume = Area of Circle (Height)

Volume of Prisms & Cylinders

Do NOT Write on my sheet!

Show Every Step!!!