Page 3 - Mathematics Grade 11 Manual

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TABLE OF CONTENTS

Introduction to learner 5
UNIT 1: Number and number relationships 6

1. The real number system 7

2. Exponents and Surds 8
2.1 Revision of exponential laws 8

2.2 Surds 9
3. Number patterns 14

3.1 Arithmetic sequences 14
3.2 Geometric sequences 16

UNIT 2: Number and number relationships 36

1. Quadratic number patterns 37
2. Simple and compound growth and decay 41

3. Different periods of compound growth 44

3.1 Compound growth formulae 44
4. Contextual problems 48

UNIT 3: Functions and algebra 63
1. Quadratic equations 64

2. Completing the square 74
3. Quadratic inequalities 77

UNIT 4: Functions and algebra 108

1. Trigonometric Functions 109
1.1 The sine-function 112

1.2 The co-sine-function 116

1.3 The tan-function 120
2. Important facts 124

2.1 The sine-function 126
2.2 The co-sine-function 130

2.3 The tan-function 134
3. Important facts 138

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