SMART / Reduced Syllabus — Grade 9 Mathematics (PECTA 2026)

1

Real Numbers

Excluded Content (detailed)

Excluded Content:

• 1.1 Introduction to Real Numbers; Page # 1 to 3.

• 1.3 Applications of Real Numbers in Daily Life; Page # 14 to 15.

• 1.3.1 Temperature Conversion, Example # 10; Page # 15 to 16.

• 1.3.2 Profit and Loss, Examples # 11 to 14; Page # 16 to 18.

• Exercise # 1.3 (Complete); Page # 18 to 19.

• Review Exercise 1: Q # 3, 8 to 10; Page # 20 (Revised)

2

Logarithms

Excluded Content (detailed)

Excluded Content:

• 2.4 Laws of Logarithm, Examples # 12 to 15; Page # 30 to 34.

• Exercise # 2.4 (Complete); Page # 34 to 35.

• Review Exercise 2: Q # 1 (iv, ix, x), Q # 6 (ii, iii), Q # 7 to 10; Page # 35 to 36 (Revised)

3

Sets and Functions

Excluded Content (detailed)

Excluded Content:

• Introduction; Page # 37.

• 3.1 Mathematics as the Study of Patterns, Structures and Relationships; Page # 37-39 (before the basic definition of Set).

• Example # 5; Page # 51.

• Exercise # 3.2, Q # 9, Q # 11 to 13; Page # 54 to 55.

• 3.3 Binary Relations, Examples # 7 & 8; Page # 55-56.

• 3.3.1 Relation as Table, Ordered Pair and Graphs; Page # 56-57.

• 3.3.2 Functions and its Domain and Range, Example # 9; Page # 57-59.

• 3.3.3 Notation of Function; Page # 59.

• 3.3.4 Linear and Quadratic Functions, Examples # 10 & 11; Page # 59-60

• Exercise # 3.3, (Complete); Page # 61.

• Review Exercise 3: Q # 1 (vii to x), Q # 10 to 16; Page # 62 to 64.

4

Factorization and Algebraic Manipulation

Excluded Content (detailed)

Excluded Content:

• 4.4 Square Root of an Algebraic Expression, Examples # 26 & 27; Page # 77 to 78.

• 4.4.1 Real World Problems of Factorization, Examples # 28 to 30; Page # 78 & 79.

• Exercise # 4.4 (Complete); Page # 79 to 80.

• Review Exercise 4: Q # 1 (vi), Q # 4 & 5; Page # 81.

5

Linear equations and Inequalities

Excluded Content (detailed)

Excluded Content:

• 5.3 Feasible Solution, Example # 6; Page # 91-92.

• 5.3.2 Maximum and Minimum Values of a Function in the Feasible Solution, Example # 7; Page # 93-94.

• Exercise # 5.2 (Complete); Page # 94 to 95.

• Review Exercise 5: Q # 1 (vii, ix & x), Q # 3 to 5; Page # 95 to 96. (Revised)

6

Trigonometry

Excluded Content (detailed)

Excluded Content:

• Example 12; Page # 109.

• Exercise # 6.3, Q # 10 to 12; Page # 111.

• Exercise # 6.4, Q # 2 (vii & viii), Q # 3 (iii); Page # 113.

• Exercise # 6.5, Q # 5, 6 & 9; Page # 117 to 118.

• 6.6 The Angle of Elevation and the Angle of Depression, Examples # 19 & 20; Page # 118 to 119.

• Exercise # 6.6 (Complete); Page # 120.

• Review Exercise 6: Q # 1 (iii), Q # 3 (iii to vi), Q # 5 & 6; Page # 121-122. (Revised)

7

Coordinate Geometry

Excluded Content (detailed)

Excluded Content:

• Exercise # 7.1, Q # 6, 9 & 10; Page # 128.

• Exercise # 7.2, Q # 2 (iii, iv), Q # 12 & 13; Page # 140 to 141.

• 7.3 Applications of Coordinate Geometry in Real Life Situations, Examples # 14, 15, 16, 17, 18, 19, 20; Page # 141 to 144.

• Exercise # 7.3 (Complete); Page # 144 to 145.

• Review Exercise 7: Q # 4 to 10; Page # 146.

8

Logic

Excluded Content (detailed)

Excluded Content:

• Complete chapter is excluded.

9

Similar Figures

Excluded Content (detailed)

Excluded Content:

• Exercise # 9.1, Q # 8 & 9; Page # 166.

• Exercise # 9.2, Q # 5 & 8; Page # 172.

• 9.4 Geometrical Properties of Polygon and their applications; Page # 177.

• 9.4.1 Geometrical Properties of Regular Polygon; Page # 177-178.

• 9.4.2 Geometrical Properties of Triangle; Page # 178.

• 9.4.3 Geometrical Properties of Parallelogram, Example # 13; Page # 178.

• 9.4.4 Applications of Polygon, Examples # 14 to 18; Page # 179 to 181.

• Exercise # 9.4 (Complete); Page # 182.

• Review Exercise 9: Q # 1 (iv, vi to x), Q # 2, 4, 7 to 9; Page # 183 to 184 (Revised)

10

Graphs of Functions

Excluded Content (detailed)

Excluded Content:

• 10.2 Exponential Growth / Decay of a Practical Phenomenon through its Graph, Example # 12; Page # 193-194.

• 10.2.1 Gradients of Curves by Drawing Tangents, Example # 13; Page # 194.

• 10.2.2 Applications of Graph in Real Life, Examples # 14 & 15; Page # 195 to 196.

• Exercise # 10.2 (Complete); Page # 197.

• Review Exercise 10: Q # 3, 5 to 7; Page # 199.

11

Loci and Construction

Excluded Content (detailed)

Excluded Content:

• 11.5.2 Intersection of Loci, Examples # 10 to 12; Page # 209 to 211.

• 11.6 Real Life Application of Loci; Page # 211.

• Exercise # 11.2 (Complete); Page # 212 to 213.

• Review Exercise 11: Q # 1 (x), Q # 2 to 8 Page # 214 (Revised)

12

Information Handling

Excluded Content (detailed)

Excluded Content:

• Exercise # 12.1: Q # 8; Page # 224.

• 12.2.4 Weighted Mean, Examples # 19 & 20; Page # 234 to 235.

• Exercise # 12.2: Q # 11(ii), Q # 13 to 20; Page # 238 to 239 (Revised)

• Review Exercise 12: Q # 7 & 12; Page # 241 to 242.

13

Probability

Excluded Content (detailed)

Excluded Content:

• 13.6 Expected Frequency, Example # 11; Page # 255.

• 13.7 Real Life Application on Expected Frequency, Examples # 12 & 13; Page # 255 to 256.

• Exercise # 13.2, Q # 5 to 8; Page # 257.

• Review Exercise 13: Q # 1 (v), Q # 2 (ii), Q # 3 to 7; Page # 258 to 259 (Revised)

SMART / Reduced Syllabus — Grade 9
Mathematics