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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
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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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INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
GED TEST FORMULA SHEETGED TEST FORMULA SHEET
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INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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!
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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.
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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.
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
L – LINE UP A PLANL – LINE UP A PLAN
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What steps will I take?What steps will I take?
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
E – EXAMINE THE RESULTSE – EXAMINE THE RESULTS
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Does my answer make sense?Does my answer make sense?
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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?
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
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.
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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.
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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.
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
L – LINE UP A PLANL – LINE UP A PLAN
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What steps will I take?What steps will I take?
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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
INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING
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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