Addition and subtraction of algebraic fractions with linear or quadratic denominator, e.g.

(1/(x-2))+(2/(x-3))

(1/(x^{2}-9))+(2/(x-3))

(1/(x-3))+(2/(x-3)^{2})

Functions and graphs

Graphs of linear equations in two unknowns.

Graphs of quadratic functions and their properties.

Positive or negative coefficient of x^{2}.

Maximum and minimum points.

Symmetry.

Solutions of equations

Solving simultaneous linear equations in two unknowns by-

Substitution and elimination methods

Graphical method

Solving quadratic equations in one unknown by factorisation

Formulating a pair of linear equations in two unknowns or a quadratic equation in one unknown to solve problems

## Unit 2:Geometry and Measurement

Congruence and Similarity

Congruent figures as figures that are identical in shape and size.

Matching sides and angles of two congruent polygons.

Similar figures as figures that have the same shape but different sizes.

Properties of similar polygons:

Corresponding angles are equal

Corresponding sides are proportiona

Enlargement and reduction of a plane figure by a scale factor

Scale drawings

Solving simple problems involving similarity and congruence

Pythagoras' theorem

Use of Pythagoras' theorem.

Determining whether a triangle is right-angled given the lengths of three sides.

Mensuration

Volume and surface area of pyramid, cone and sphere.