1. 2 INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING LESSON GOALS When given geometric formulas, compute volume and surface area of

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INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING

LESSON GOALSLESSON GOALS

• When given geometric formulas, compute volume and surface area of rectangular prisms. Solve for the side lengths or height, when given volume or surface area. (Q.5.a)

• When given geometric formulas, compute volume and surface area of cylinders. Solve for height, radius, or diameter when given volume or surface area. (Q.5.b)

• When given geometric formulas, compute volume and surface area of right prisms. Solve for the side lengths or height, when given volume or surface area. (Q.5.c)

INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING 4

WHAT YOU WILL WHAT YOU WILL DO IN THIS LESSONDO IN THIS LESSON

Think & work alone

Think, Pair, Share

Cooperative Learning in Small Groups


GEOMETRY REVIEW GEOMETRY REVIEW ROUND ROBINROUND ROBIN

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INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING2014 GED® Webinar Series

• How do you think finding the area of a 2-D figure would be different from finding the surface area of a 3-D figure?

• Does it make sense to find the volume of a 2-D figure? Explain why or why not.

• What are you actually finding when asked to find the volume of a 3-D figure? What are the units of measure?

• In your own words, write a definition for the surface area and volume of a 3-D figure.

2-D VERSES 3-D2-D VERSES 3-D

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UNDERSTANDING UNDERSTANDING SURFACE AREA FORMULASSURFACE AREA FORMULAS

https://www.youtube.com/watch?v=wdDLXCypg4Y

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UNDERSTANDING UNDERSTANDING VOLUME OF PRISMS VOLUME OF PRISMS

AND CYLINDERSAND CYLINDERS

https://www.youtube.com/watch?v=OYY4ZkhpqGU

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GED TEST FORMULA SHEETGED TEST FORMULA SHEET

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THE SOLVE METHODTHE SOLVE METHOD

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S TUDY THE PROBLEM (What am I trying to find?)

O RGANIZE THE FACTS (What do I know?)

L INE UP A PLAN (What steps will I take?)

V ERIFY YOUR PLAN WITH ACTION (How will I carry out my plan?)

E XAMINE THE RESULTS (Does my answer make sense? If not, rework.)

Always double check!


S – STUDY THE PROBLEMS – STUDY THE PROBLEM

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What is the problem What is the problem

asking me to do?asking me to do?

Find the question.Find the question.

Find the surface area and the volume of a box whose base measures 12 inches by 5 inches and whose height is 6 inches.


O – ORGANIZE THE FACTSO – ORGANIZE THE FACTS

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What do I know?What do I know? Find the surface area and the volume of a box whose base measures 12 inches by 5 inches and whose height is 6 inches.


L – LINE UP A PLANL – LINE UP A PLAN

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What steps will I take?What steps will I take?


V – VERIFY YOUR PLAN V – VERIFY YOUR PLAN WITH ACTIONWITH ACTION

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B = bh

p = 2l + 2w

SA = ph + 2B

V = Bh


E – EXAMINE THE RESULTSE – EXAMINE THE RESULTS

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Does my answer make sense?Does my answer make sense?


USING THE SOLVE METHODUSING THE SOLVE METHOD

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XYZ Company stores its waste in cylindrical

barrels that have a radius of 2 feet and a

height of 5.5 feet. Last month the company

filled 20 barrels with waste. What was the

total volume of waste that the company

produced last month? If the metal the

barrels were made of cost them $2.00 per

square foot, what was the total cost of the

metal to make the 20 barrels?


LESSON GOALSLESSON GOALS• When given geometric formulas, compute

volume and surface area of rectangular prisms. Solve for the side lengths or height, when given volume or surface area. (Q.5.a)

• When given geometric formulas, compute volume and surface area of cylinders. Solve for height, radius, or diameter when given volume or surface area. (Q.5.b)

• When given geometric formulas, compute volume and surface area of right prisms. Solve for the side lengths or height, when given volume or surface area. (Q.5.c)


SOLVING FOR OTHER SOLVING FOR OTHER UNKNOWNSUNKNOWNS

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The surface area of a container

shaped like a rectangular prism is

864 cm2. It has a width of 4 cm and

a length of 12 cm. Find the height of

the container.


S – STUDY THE PROBLEMS – STUDY THE PROBLEM

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What is the problem What is the problem

asking me to do?asking me to do?

Find the question.Find the question.

The surface area of a container shaped like a rectangular prism is 864 cm2. It has a width of 4 cm and a length of 12 cm. Find the height of the container.


O – ORGANIZE THE FACTSO – ORGANIZE THE FACTS

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What do I know?What do I know?

The surface area of a container shaped like a rectangular prism is 864 cm2. It has a width of 4 cm and a length of 12 cm. Find the height of the container.


L – LINE UP A PLANL – LINE UP A PLAN

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What steps will I take?What steps will I take?


V – VERIFY YOUR V – VERIFY YOUR PLAN WITH ACTIONPLAN WITH ACTION

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p = 2l + 2w = 2(12) + 2(4) = 24 + 8 = 32

B = lw = 12 (4) = 48

SA = ph + 2B864 = 32h + 2(48)864 = 32h + 96768 = 32h24 = h


E – EXAMINE THE RESULTSE – EXAMINE THE RESULTS

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Does my answer make sense?Does my answer make sense?

To see if my answer makes sense, I am going to see if this height, with the given dimensions of the base, result in the given surface area.

Does 864 = 32h + 96 if h = 24?

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1. 2 INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING LESSON GOALS When given geometric formulas, compute volume and surface area of