Name:    Try It Out -- Chapter 5, Lesson 6

Matching

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

1.

What is the first step?

2.

What is the second step?

3.

What is the third step?

4.

What is the fourth step?

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.

5.

What is the first step?

6.

What is the second step?

7.

What is the third step?

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.

8.

What is the first step?

9.

What is the second step?

10.

What is the third step?

11.

What is the fourth step?

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

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

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