Shapes, Geometry, Trigonometry, Measurements

TNSCERT

8th

MEASUREMENTS 50-73
2.1 Introduction 50
2.2 Parts of a Circle 52
2.3 Combined Shapes 59
2.4 Three Dimensional (3-D) Shapes

GEOMETRY 155-210
5.1 Introduction 155
5.2 Congruent and Similar Shapes 156
5.3 The Pythagorean Theorem 167
5.4 Converse of Pythagoras Theorem 1
5.5 Point of Concurrency 170
5.6 Medians of a Triangle 170
5.7 Altitude of a Triangle 173
5.8 Perpendicular Bisectors of a Triangle 174
5.9 Angle Bisectors of a Triangle
5.10 Construction of Quadrilaterals
5.11 Construction of Trapeziums 187
5.12 Construction of Special Quadrilaterals 192
5.13 Construction of a Parallelogram
5.14 Construction of a Rhombus 201
5.15 Construction of a Rectangle 205
5.16 Construction of a Square

9th

GEOMETRY 138
4.1 Introduction 138 July
4.2 Types of Angles 139 August
4.3 Quadrilaterals 144 October
4.4 Parts of a Circle 159
4.5 Properties of Chords of a Circle
4.6 Cyclic Quadrilaterals 170
4.7 Practical Geometry

COORDINATE GEOMETRY 185
5.1 Mapping the Plane 185
5.2 Devising a Coordinate System 187
5.3 Distance between any Two Points
5.4 The Mid-point of a Line Segment
5.5 Points of Trisection of a Line Segment 208
5.6 Section Formula 210 November
5.7 The Coordinates of the Centroid

6 TRIGONOMETRY 222
6.1 Introduction 222
6.2 Trigonometric Ratios of Some Special Angles 228
6.3 Trigonometric Ratios for Complementary Angles 233
6.4 Method of using Trigonometric Table 235

7 MENSURATION 248
7.1 Introduction 248

7.2 Heron’s Formula 249
7.3 Application of Heron’s Formula in Finding Areas
of Quadrilaterals
7.4 Surface Area of Cuboid and Cube
7.5 Volume of Cuboid and Cube

10th

Geometry 161-202
4.1 Introduction 161 July 4.2 Similarity 162
4.3 Thales Theorem and Angle Bisector Theorem 171 August
4.4 Pythagoras Theorem 183
4.5 Circles and Tangents 188 October
4.6 Concurrency Theorems 195

5 Coordinate Geometry 203-238
5.1 Introduction 203
August
5.2 Area of a Triangle 205
5.3 Area of a Quadrilateral 207
5.4 Inclination of a Line 212
5.5 Straight Line 221
5.6 General Form of a Straight Line 230

6 Trigonometry 239-268
6.1 Introduction 239

6.2 Trigonometric Identities 242
6.3 Heights and Distances 250

7 Mensuration 269-300
7.1 Introduction 269
7.2 Surface Area 270
7.3 Volume 282
7.4 Volume and Surface Area of Combined Solids 290
7.5 Conversion of Solids from one Shape to another
with no change in Volume
295

+1

CHAPTER 3 – Trigonometry
3.1 Introduction 87
3.2 A recall of basic results 88
3.3 Radian measure 92
3.4 Trigonometric functions and their properties 96
3.5 Trigonometric identities 104
3.6 Trigonometric equations 125
3.7 Properties of triangle 134
3.8 Application to triangle 143
3.9 Inverse trigonometric functions

+2

Inverse Trigonometric Functions 129 Jul/Aug
4.1 Introduction 129
4.2 Some Fundamental Concepts 130
4.3 Sine Function and Inverse Sine Function
4.4 The Cosine Function and Inverse Cosine Function 138
4.5 The Tangent Function and the Inverse Tangent Function 143
4.6 The Cosecant Function and the Inverse Cosecant Function 148
4.7 The Secant Function and Inverse Secant Function 149
4.8 The Cotangent Function and the Inverse Cotangent Function 151
4.9 Principal Value of Inverse Trigonometric Functions 153
4.10 Properties of Inverse Trigonometric Functions

Two Dimensional Analytical Geometry-II 172 Aug

5.1 Introduction 172
5.2 Circle 173
5.3 Conics 182
5.4 Conic Sections 197
5.5 Parametric form of Conics 199
5.6 Tangents and Normals to Conics
5.7 Real life Applications of Conics