## Unit 1:Numbers and Algebra

Numbers and the four operations

Examples of very large and very small numbers such as mega/ million (10 ^{6} ), giga/ billion (10 ^{9} ), tera/ trillion (10^{12} ), micro (10^{-6} ), nano (10^{-9} ) and pico (10^{-12} )

Use of standard form A × 10^{n} , where n is an integer, and 1 ≤ A < 10

Positive, negative, zero and fractional indices

laws of indices.

Functions and graphs

Sketching of the graphs of quadratic functions given in the form

y = ± (x − p)^{2} + q

y = ± (x − a)(x − b)

Graphs of functions of the form y = ax^{n} where n = −2, −1, 0, 1, 2, 3, and simple sums of not more than three of these

Graphs of exponential functions y = ka^{x} where a is a positive integer

Estimation of gradients of curves by drawing

Interpretation and use of graphs in practical situations.

Drawing graphs from given data.

Distance-time and speed-time graphs.

Exclude the use of the terms percentage profit and percentage loss.

Matrices

Include:

Display of information in the form of a matrix of any order.

Interpreting the data in a given matrix.

Product of a scalar quantity and a matrix.

Problems involving the calculation of the sum and product (where appropriate) of two matrices.

Exclude:

Matrix representation of geometrical transformations.

Solving simultaneous linear equations using the inverse matrix method.

## Unit 2:Geometry and Measurement

Congruence and similarity

Determining whether two triangles are

Congruent.

Exclude calculation of the angle between two planes or of the angle between a straight line and a plane.

Mensuration

Arc length and sector area as fractions of the circumference and area of a circle.

Area of a segment.

Use of radian measure of angle (including conversion between radians and degrees).

Problems involving the arc length, sector area of a circle and area of a segment.

Coordinate geometry

Include:

Finding the gradient of a straight line given the coordinates of two points on it.

Finding the length of a line segment given the coordinates of its end points.

Interpreting and finding the equation of a straight line graph in the form y = mx + c.

Geometric problems involving the use of coordinates.

Range, interquartile range and standard deviation as measures of spread for a set of data.

Interpretation and analysis of:

Cumulative frequency diagrams.

Box-and-whisker plots.

Calculation of the standard deviation for a set of data (grouped and ungrouped).

Using the mean and standard deviation to compare two sets of data.

Probability

Probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate).

Addition and multiplication of probabilities.

Mutually exclusive events and independent events.

Exclude use of P(A∪B) = P(A) + P(B) - P(A∩B).