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Part I The Model Approach
Unit 1 Addition And Subtraction I - Review
1.1 Part-Whole Model ..........................................................................4
1.2 One-Step Routine Word Problems
- Equal Concept I, II, III ................................................................6
1.3 Comparison Model ....................................................................... 10
1.4 One-Step Routine Word Problems
- Comparison Concept I, II / Difference Concept ............................ 12
Unit 2 Addition And Subtraction II
2.1 Two-Step Word Problems.............................................................. 16
Unit 3 Multiplication
3.1 Model Drawing Involving Multiplication .......................................... 23
3.2 One-Step Routine Word Problems
- Repeated-Addition Concept / Multiple Concept I, II ...................... 25
3.3 Two-Step Word Problems.............................................................. 29
Unit 4 Division
4.1 Model Drawing Involving Division .................................................. 35
4.2 One-Step Routine Word Problems
- Sharing Concept / Grouping Concept / Multiple Concept I, II ........ 37
4.3 Two-Step Word Problems.............................................................. 42
PROCESS SKILLS IN PROBLEM SOLVING (L3)
CONTENTS
JY INNOVATION
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*More challenging problems especially for advanced pupils.
Unit 5 Four Operations
5.1 *Challenging Word Problems I (Difference-Multiple Concept) ........... 48
5.2 *Challenging Word Problems II (Making-A-Whole Concept).............. 53
5.3 *Challenging Word Problems III (Before-After Concept)................... 57
5.4 *Challenging Word Problems IV (Internal-Transfer Concept) ............ 63
Part II The Heuristic Approach
Unit 6 Act It Out ............................................................................................ 69
Unit 7 Look For Pattern I ................................................................................ 72
Unit 8 Look For Pattern II ............................................................................... 75
Unit 9 Work Backwards .................................................................................. 78
Unit 10 Draw A Diagram .................................................................................. 81
Unit 11 Restate The Problem I (Whole Numbers)................................................ 84
Unit 12 Restate The Problem II (Fractions) ........................................................ 87
Unit 13 *Restate The Problem III (Area And Perimeter) ...................................... 90
Unit 14 *Make A Supposition ............................................................................ 93
Unit 15 *Combined Strategies........................................................................... 96
Answer Key & Detailed Solutions .....................................................................99
Parents’ Workshop Support ........................................................................... 119
FAN-Math New Publications........................................................................... 120
JY INNOVATION
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23 Process Skills In Problem Solving Model Approach
Multiplication
Study the model diagrams. What are the missing numbers?
4 x 10 = 40
The missing number is 40.
a. 1 unit --- 25
4 units --- 4 x 25 = 100
b. 6 units --- 6 x 25 = 150
The missing numbers are 100 and 150.
Example 2
3.1 Model Drawing Involving Multiplication
14
?
1 unit --- 14
3 units --- 3 x 14 = 42
The missing number is 42.
Example 3
The unknown bar consists of 3
equal groups of 14.
a. The unknown difference
consists of 4 equal groups of 25.
b. The unknown total consists of
6 equal groups of 25.
To find the whole of equal groups,
we multiply.
Unit 3
Example 1 Thinking Mathematically
?
10
25
b?
a?
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