Matching
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Order
the steps that should be used to solve any problem.
a. | Look
Back | b. | Carry Out the
Plan | c. | Understand the
Problem | d. | Make a Plan | | |
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| 1. | What
is the first step?
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| 2. | What
is the second step?
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| 3. | What
is the third step?
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| 4. | What
is the fourth step?
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Problem:
Susan knows that the distance around her circular flower garden
is 45 m. She wants to order top soil for the flower garden, and the soil company asks her for
the area of the flower garden in order to determine how much soil she should have
delivered.
Order the steps that Susan should use to respond to
the soil company.
a. | Susan carries out her plan, and substitutes 45 for C in the
circumference formula, and solves for the radius. She now uses the radius with the area formula
to determine the area of the garden. | b. | Susan tries to understand the problem. She realizes that
she needs to determine the area of the garden. In order to find the area, by using the area
formula, she knows she needs to know the radius. | c. | Susan makes a
plan. She knows that the distance around the garden is the circumference, and it measures 45 m. By
using the circumference formula, she can work backwards to find the radius. | | |
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| 5. | What
is the first step?
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| 6. | What
is the second step?
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| 7. | What
is the third step?
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Determine the distance across a circular island, through the centre of the
island if the island has an area of 25 km2.
Order the steps to solve the problem.
a. | Solve the area
formula for r2. | b. | Double the radius to determine the diameter, the distance
across the island. | c. | Using the area formula, substitute 25 for
A. | d. | Take the square
root of both sides of the equation to find r. | | |
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| 8. | What
is the first step?
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| 9. | What
is the second step?
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| 10. | What
is the third step?
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| 11. | What
is the fourth step?
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Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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| 12. | Solve
Susan’s problem:
Susan knows
that the distance around her circular flower garden is 45 m. She wants to order top soil for
the flower garden, and the soil company asks her for the area of the flower garden in order to
determine how much soil she should have delivered.
The area of Susan’s garden is approximately:
a. | 644
m2 | c. | 45
m2 | b. | 161 m2 | d. | 6362 m2 | | | | |
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| 13. | Solve
the island problem.
Determine the
distance across a circular island, through the centre of the island if the island has an area
of 25 km2.
The distance
across the island, through the centre is:
a. | 7.96 km | c. | 15.92 km | b. | 5.64
km | d. | 2.82
km | | | | |
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