Mathematics Chapter 1: Patterns in Mathematics

Lesson 5 Solve a Simpler Problem

Lesson Objective The goal for this lesson is to solve problems by using a simpler problem. Introduction The Problem-Solving Model is designed to help solve word problems. There following four steps make up the model:

1. Understand the Problem • What are you asked to find out? • What information is given? • What information is necessary to solve the problem?

2. Make a Plan

• Is there more than one step needed to solve the problems?

• What calculations can be used?

3. Carry Out the Plan • Show all your work.

4. Look Back

• Check if your answer is reasonable. Practice Question How many yellow tiles are there in design 7?

design 2 design 3 design 1

Mathematics Chapter 1: Patterns in Mathematics

Step 1: Understand the problem. I need to determine the number of yellow tiles present in design 7. The number of yellow tiles in designs 1, 2, and 3 are shown on the diagram. I need to look for a pattern to help solve the problem.

Step 2: Make a plan. A pattern rule can be used to help solve the problem.

Step 3: Carry out the plan. Create a table of values and determine the pattern rule.

Design Pattern Rule Number of Yellow Tiles

1 2

2 6

3 12

Step 4: Look back. Use the pattern rule to solve the problem. Number of yellow tiles in design 7 = Number of yellow tiles in design 7 = Number of yellow tiles in design 7 = Number of yellow tiles in design 7 =

Mathematics Chapter 1: Patterns in Mathematics

Instructions:

4. Turn to pages 23 in your textbook. 5. Complete questions 4 to 5. 6. Answer question 4 on a separate sheet of paper and hand in.

More practice: workbook (p. 6)