Euclid’s division lemma

Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

Proofs of the following theorems are deleted:

• If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
• The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
• In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
• In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle.

Frustum of a cone

Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken).

Step deviation Method for finding the mean  

Cumulative Frequency graph

2–7

15–18

1.2 Euclid’s division lemma

1.5 Revisiting rational numbers and their decimal expansions

39–46

57–69

3.2 Pair of linear equations in two variables

3.3 Graphical method of solution of a pair of linear equations3.

4.3 Cross-multiplication method

3.5 equation reducible to a pair of linear equations in two variables

76–88

91–92

141–144

144–154

6.5 Areas of similar triangles

6.6 Pythagoras theorem

87–190

193–194

195–196

205

11.1 Introduction

11.2 Division of a line segment

11.3 Construction of tangents to a circle

11.4 Summary

223

224–226

231–238

12.1 Introduction

12.2 Perimeter and area of acircle- A review

12.4 Areas of combinations of plane figures

248–252

252–259

13.4 Conversion of solid from one shape to another

13.5 Frustum of a cone

295–296

311–312

15.1 Introduction Exercise

15.2 (Optional)