# Form 1

# Intensive Mathematics - Form 1 (Second Edition)

### Written by N. Cheung, Y. S. Pang & S. H. Cheung

First edition: April 2007

Second Edition: July 2020

ISBN 978-962-296-099-2

## Contents

Basic Mathematics

Directed Numbers

Algebraic Expressions

Manipulation of Polynomials

Linear Equations in One Unknown

Approximate Values and Numerical Estimation

Percentages (I)

Introduction to Geometry

Areas and Volumes (I)

Congruent and Similar Triangles

Angles and Parallel Lines (I)

Introduction to Coordinates

Linear Equations in Two Unknowns (I)

Introduction to Statistics (I)

Final Revision Exercise Test 1

Final Revision Exercise Test 2

## Previous Edition (Discontinued)

## Intensive Mathematics - Form 1

### Written by S. H. Cheung, N. Cheung & Y. S. Pang

First Edition: April 2007

ISBN 978-962-296-056-5

## Contents

Directed Numbers

Algebraic Expressions

Manipulation of Polynomials

Algebraic Equations

Numerical Estimation

Percentages

Introduction to Geometry

Area and Volume

Congruence and Similarity

Transformation and Symmetry

Angles Related with Lines and Rectilinear Figures

Introduction to Coordinates

Linear Equations in Two Unknowns

Introduction to Statistics I

Final Revision Test - Test 1

Final Revision Test - Test 2

## Introduction to the First Edition

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

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

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

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”.

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.

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:

Solution for harder problems (with the asterisk sign *)

Further notes and explication

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.