Problem Solving Strategy ~ Draw a Pictue or graph ~

Content

 Process Problem 1 Process Problem 2 Problem Worksheet

Process Problem 1

Janet and Vicki put up a rope to mark the starting line for the sack race. The rope was 10 meters (m) long. They put a post at each end of the rope and at every 2 m. How many posts did they use? (Hint: Finish drawing the picture to help you )

Understanding the Problem

· How long was the rope? (10 m)
· How far apart were the posts? (2 m)

Planning a Solution

· Suppose they placed the posts only at the end of the rope. How many posts would there be? (2)
· If they used 3 posts and each post was 2 m from another post, how long would the rope be? (4 m)
· Try 4 posts. Draw a picture to see how long the rope would be. (6 m)

Draw a Picture

Janet and Vicki used 6 posts.

Problem Extension

Mr. Brown put a square fence around his vegetable garden to keep the deer from eating his corn. Each side was 10 m. If the posts were placed 2 m apart, how many posts did he use? (20)

Process Problem 2

Mr. Tanabe stood on the middle rung of a ladder, washing windows on an office building. He stepped up 3 rungs to reach more of the windows. Then he saw a spot he had missed on one of the windows below so he climbed down 5 rungs. After he cleaned that spot, he climbed up 7 rungs and washed the rest of the windows. After he finished, he climbed the remaining 6 rungs to the top of the building, where he stored all of his materials. How many rungs did the ladder have?

Understanding the Problem

· Where was Mr. Tanabe standing? (on the middle rung)
· What did he do when he saw a spot he missed? (He climbed down 5 rungs.)
· it a ladder had 3 rungs, which rung would Mr. Tanabe be standing on if he were on the middle rung? (the second)

Planning a Solution

· Is the number of rungs above the middle of the ladder the same as the number below the middle of the ladder? (yes)
· Draw a ladder and show were Mr. Tanabe would be standing. (See solution.)

Draw a Picture

 +11 rungs above the middle rung           11 rungs below the middle rung        +  1 middle rung ----          23 rungs

There are 23 rungs on the ladder.

Problem Extension

If Mr Tanabe started on the third rung, how many rungs would there he on the ladder ?(14)

Process Worksheet: Draw a Picture

1. John gets on an elevator at the first floor. He goes up to the ninth floor then comes down 3 floors. He then goes up 1 floor and down 4 floors. What floor is John on?

2. John always sits in the same pew at the church. The pew is second from the front and eighth form the back. There is a centre aisle. Each pew seats 6 persons. What is the seating capacity in John’s church?

3. Wesley fenced a square piece of land. There are 9 posts on each side. How many posts did he use altogether?

4. If Marie had three different skirts and four different sweaters, how many different outfits could she wear?

5. A rubber ball is dropped from a height of 10m on the asphalt. The ball bounces 8m on the first bounce, 6.4m on the second bounce. Each bounce is eight-tenth as high as the previous bounce. Make a table and bar graph to show the height of each bounce for the first 8 bounces. Round your answer off to the nearest tenth. What is the number of the first bounce which has a height less than 3m?

6. Five kissin’ cousins meet at the family reunion. Each cousin kisses each of the other cousins just once. How many kisses were given in all?

7. Steve, Michael, Sandra, Lesley are standing in line to buy tickets for a movie. In how many ways can they stand in line to buy their tickets?