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Problem Solving Series Book 2

Strategies and techniques covering all strands of the curriculum, with activities to reinforce each problem solving method.

Problem Solving Series Book 2 by Susan Cull
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Contains blackline master activities for a range of problem solving situations. Strategies students can use include: Guess and Check Create a Diagram Use a Table Make a List Find a Pattern Work Backwards Logical Reasoning Solve an Easier Version Students indicate their understanding of the problem by choosing one or more of the above strategies and devising a plan. Appropriate skills and attitudes must be identified and used by the student to carry out the plan successfully. These skills and attitudes are important for students to develop, not only to solve the mathematical problem, but also to apply to other life situations. Appropriate skills and attitudes include: Making decisions Choosing technology (calculator, concrete materials) Showing persistence Working individually Working collaboratively Showing initiative Being flexible Developing clear written and verbal skills Importantly, through the process of solving mathematical problems, students will need to apply and further develop their understanding of a range of mathematical concepts. The activities in this book will address the following concepts: Number Measurement Space Chance and Data

The purpose of this book is to provide 10 to 11 year old students with a range of mathematical problems, together with solutions.

Ready-Ed Publications; June 2002
48 pages; ISBN 9781863974639
Read online, or download in secure PDF format
Title: Problem Solving Series Book 2
Author: Susan Cull; Terry Allen

Student Information Card

Guess and Check Strategy

The Guess and Check strategy can be helpful for many types of problems. When you use this strategy you will need to make a reasonable guess, based on the information that you have been given, check your guess and check again if necessary. When you check, your guesses should get closer and closer to the answer, until you reach the correct answer itself.

Example: Paul is 12 years old and his mom is three times as old.
How many years must pass before his mom is twice as old?

1. What do you know already?

You know that Paul is 12 and his mom is 3 times as old as Paul, which
must mean that Paul’s mom is 36 years old (3 x 12 = 36).

2. Make a guess.

4 years must pass.

3. Check your guess.

In 4 years time Paul will be 16 and Paul’s mom will be 40. Your guess is
not correct because 40 is not twice or double 16.

4. Make a guess.

10 years must pass.

5. Check your guess.

In 10 years time Paul will be 22 and Paul’s mom will be 46. Your guess is
not correct because 46 is not twice 22 (but getting closer).

6. Make a guess.

12 years must pass.

7. Check your guess.

In 12 years time Paul will be 24 years old and Paul’s mom will be 48. Your
answer is correct since 48 is twice 24.

8. Correct Solution.

Does your solution answer the question? Yes. 12 years must pass before
Paul’s mom is twice as old as Paul.