Academic year:

## Units and Topics

# | Unit/Topic | Marks |
---|---|---|

1 | Rational and Irrational Numbers | - |

2 | Parallel Lines and Transversal | - |

3 | Indices and Cube Root | - |

4 | Altitudes and Medians of a Triangle | - |

5 | Expansion Formulae | - |

6 | Factorisation of Algebraic Expressions | - |

7 | Variation | - |

8 | Quadrilateral : Constructions and Types | - |

9 | Discount and Commission | - |

10 | Division of Polynomials | - |

11 | Statistics | - |

12 | Equations in One Variable | - |

13 | Congruence of Triangles | - |

14 | Compound Interest | - |

15 | Area | - |

16 | Surface Area and Volume | - |

17 | Circle - Chord and Arc | - |

Total | - |

## Syllabus

1 Rational and Irrational Numbers

2 Parallel Lines and Transversal

- Pairs of Lines - Transversal
- Pairs of Lines - Angles Made by a Transversal
- Pairs of Lines - Transversal of Parallel Lines
- Properties of Angles Formed by Two Parallel Lines and a Transversal
- To Draw a Line Parallel to the Given Line Through a Point Outside the Given Line Using Set-square.
- To Draw a Parallel Line to a Given Line at a Given Distance.

3 Indices and Cube Root

4 Altitudes and Medians of a Triangle

5 Expansion Formulae

6 Factorisation of Algebraic Expressions

7 Variation

8 Quadrilateral : Constructions and Types

- Constructing a Quadrilateral
- To construct a quadrilateral, whose four sides and one angle are given.
- To construct a quadrilateral, whose three sides and two consecutive angles are given.
- To construct a quadrilateral, whose four sides and one diagonal are given.
- To construct a quadrilateral, whose three sides and two diagonals are given.

- Types of Quadrilaterals
- Properties of a Square

9 Discount and Commission

10 Division of Polynomials

- Concept of Polynomials
- Degree of Polynomial
- When the polynomial contains only one variable
- When the polynomial contains two or more variable

- Division of Algebraic Expressions
- Divide a Polynomial by a Binomial

12 Equations in One Variable

13 Congruence of Triangles

14 Compound Interest

15 Area

- Area of a Parallelogram
- Area of a Rhombus
- Area of the rhombus if base and height are given.
- Area of the rhombus if the diagonals are given.

- Area of Trapezium
- Area of a Triangle
- Area of a Triangle by Heron's Formula
- Collinearity of three points

- Area of Figures Having Irregular Shape
- Circumference of a Circle

16 Surface Area and Volume

- Standard Unit of Volume
- Surface Area of Cylinder
- Right Circular Cylinder
- Hollow Cylinder

- Volume of a Cylinder
- Euler's Formula

17 Circle - Chord and Arc

- Properties of Chord of a Circle
- The perpendicular drawn from the centre of a circle to its chord bisects the chord.
- The segment joining the centre of a circle and midpoint of its chord is perpendicular to the chord.

- Arcs Corresponding to the Chord of a Circle
**Congruent arcs :**

If the measures of two arcs of circle are same then two arcs are congruent.

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