1. Basic Mathematics

2. Directed Numbers 

3. Algebraic Expressions 

4. Manipulation of Polynomials 

5. Linear Equations in One Unknown 

6. Approximate Values and Numerical Estimation 

7. Percentages (I)

8. Introduction to Geometry 

9. Areas and Volumes (I) 

10. Congruent and Similar Triangles 

11. Angles and Parallel Lines (I) 

12. Introduction to Coordinates 

13. Linear Equations in Two Unknowns (I) 

14. Introduction to Statistics (I) 

15. Final Revision Exercise Test 1 

16. Final Revision Exercise Test 2

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Regular Grid, Large Grid, Isometric Grid, and Oblique Grid

1. Directed Numbers

2. Algebraic Expressions

3. Manipulation of Polynomials

4. Algebraic Equations

5. Numerical Estimation

6. Percentages

7. Introduction to Geometry

8. Area and Volume

9. Congruence and Similarity

10. Transformation and Symmetry

11. Angles Related with Lines and Rectilinear Figures

12. Introduction to Coordinates

13. Linear Equations in Two Unknowns

14. Introduction to Statistics I

15. Final Revision Test - Test 1

16. Final Revision Test - Test 2

This book consists of 14 chapters which including 2 final revision tests. Each chapter consists of five parts:

1. Notes - To introduce the mathematical concepts and method of calculations.

2. Exploration - To explain and establish by examples, sometimes includes analysis and discussion to solutions under the example.

3. Warm-up Zone - There are simple questions similar to typical examples for basic skill training. Students can easily complete them by referring to the examples given. As students have gone through all the questions in this section, the questions in “Challenging Problems” are relatively more difficult than those in “Warm-up Zone”.

4. Challenging Problems - For students of different levels of ability, there are questions of different types and levels in exercises, which enhance students’ skill in problem solving.

5. Revision Test - Part A is multiple choice questions, which contains of 10 different questions and 30 marks. Students at least answer five questions correctly. Part B is word problems, which contains short and long questions and 70 marks. Pass: 50 marks or above; Good: 75 marks or above; Excellent: 90 marks or above.

This book comes with a “Solution Guide” to aid students in problem solving. It consists of:

1. Solution for harder problems (with the asterisk sign *)

2. Further notes and explication

3. Further chapter summaries to summarize the key points, concepts and terms

From the front page, we mentioned “the main purpose is to provide students with a well-organized in learning revision and method of revision”. However, this may be difficult for students to do that. Therefore, we suggest the following points to students.

(1) Highlights

• Clear steps

• Classification of questions

• Handling main points

• Comparison of difference situations

• Several solving methods

(2) Differences area of summary 

• Chapter key point summary

• Question oriented summary

(3) Difference types of summary

• Point Form - Easy to classify of questions, main points or methods

• Tree diagram - Easy to classify of questions

• Flow chart - Easy to express the solving steps

• Method of comparison - Easy to compare two differences of question

• Method of tabling - Easy to compare more differences of question

(4) Systemic summary

There are various types of summaries to give students more choices for concept illustration and technique discussion.