Problem Solving Strategy ~ Make a Table ~

Content

 Process Problem 1 Process Problem 2 Process Problem 3 Problem Worksheet

Process Problem 1

Holly checked a book out of the library and read this notice about fines: It a book is 1 day overdue, the fine is 1¢, 2 days overdue, 2¢, 3 days overdue, 4¢, and so on. It Holly's book is 7 days overdue, how much is her fine? (Hint: Complete this table.)

 Day 1 2 3 4 5 6 7 Fine 1¢ 2¢ 4¢ 8¢

Understanding the Problem

· How much is the fine for 1 day? (1 ¢)
· How much is the fine for 2 days? (2¢)
· How much is the fine for 3 days? (4¢)

Planning a Solution

· How much would the fine be for 4 days if we double the previous day? (8¢)
· How much is the fine for 5 days? (16¢)

Finding the Answer

Make a Table

 Day 1 2 3 4 5 6 7 Fine 1¢ 2¢ 4¢ 8¢ 16¢ 32¢ 64¢

Holly's fine is 64¢.

Problem Extension

Holly had 2 books overdue. One book was 10 days overdue and the other was 5 days overdue. What was her total fine? (\$5.28)

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Process Problem 2

Seth and Bob each began reading a Hardy Boys book today. If Seth reads 8 pages each day and Bob reads 5 pages each day, what page will Bob be reading when Seth is reading page 56? (Hint: Complete the table.)

 Day Seth's Page Bob's Page 1 8 5 2 16 10 3 24 15

Understanding the Problem

· How many pages does Seth read each day? (8) Bob? (5)
· Did they start reading their books on the same day? (yes)

Planning a Solution

· How many pages had Seth read at the end of the first day? (8) Bob? (5)
· When Seth has read 16 pages, how many pages will Bob have read?(10)
· Find the number of pages Seth read for the first 5 days. (8, 16, 24, 32, 40)

Finding the Answer

Make a Table

 Day Seth's Page Bob's Page 1 8 5 2 16 10 3 24 15 4 32 20 5 40 25 6 48 30 7 56 35

Bob will be reading page 35 when Seth is reading page 56.

Problem Extension

Mary reads 9 pages a day, Sue reads 10 pages a day, and Molly reads 8 pages a day. What page will Sue and Molly each be reading when Mary is reading page 72? (Sue--Page 80, Molly--Page 64)

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Process Problem 3

Jerry was mowing his lawn when he noticed Christy was a so mowing her lawn next door. They stopped to talk and Jerry learned that Christy mows her lawn once every 8 days. Jerry mows his lawn once every 6 days. In how many days will they be mowing their lawns together again?

Understanding the Problem
· How often does Christy mow her lawn? (every 8 days)
· How often does Jerry mow his lawn? (every 6 days)

Planning a Solution
· In how many days will Christy mow her lawn again? (8) Then the next time?(16)
· When will Jerry mow his lawn again? (in 6 days) Then again? (12)
· Try making a table. (See solution.)

Finding the Answer
Make a Table

 Christy 8 16 24 32 Jerry 6 12 18 24

Jerry and Christy will be mowing their lawns together again in 24 days.

Problem Extension

Suppose Jerry's mom pays him \$1.50 each time he mows the lawn and Christy's mom pays her\$1.75 each time she mows the lawn. Who will have made the most money in 24 days? (Jerry)

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Process Worksheet: Make a Table

1. Mr Green has a small farm near Steinbach, Manitoba. He has chickens and cows on his farm. If there are 32 legs altogether, what is the greatest number of cows possible?

2. List the different combinations of 5-¢ coins and 10-¢ coins that make 55¢.

3. Each time 2 dice are rolled, 2 numbers land flacing up.
A) How many different combinations of numbers can there be?
Hint: Only count different sets of numbers. Example: 1, 3 and 3, 1 are the same.

B) How many different products can there be?

4. In a box there are twelve pieces of paper, each with a number. The first is numbered 1, the second 2, the third 3, and so on until 12. The box is shaken and the numbers drawn out in pairs. If the sums for each of the six pairs are 4, 6, 13, 14, 20, and 21, what are the numbers that make up the pairs?

5. Sally is having a early. The first time the doorbell rings, one person enters. If on each successive ring a group enters that has two more persons than the group thot entered on the previous wring, how many people enter on the sixth ring?

6. A kennel owner has the following dogs: a blonde collie, a brown terrier, a black poodle, a black collie, a blonde poodle, a while terrier, a brown collie, a black terrier, a while poodle, and a blonde terrier. If he wants to have one of each colour and breed combination, what types of dogs should he get?

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