### Scheme of Work

#### Number Bases

- Operations in different number bases from 2 - 10
- Number Base conversion

#### Fractions, Decimals, Approximations and Percentages

- Fractions, Decimals and Percentages
- Rounding to Significant figures
- Rounding to Decimal Places
- Percentage Errors
- Simple Interest
- Profit and Loss percent
- Ratio, Rate and Proportion

#### Indices, Logarithms and Surds

- Laws of Indices
- Standard Form
- Laws of Logarithm
- Logarithm of any positive number to a given base
- Change of base in Logarithm and Application
- Indices and Logarithm
- Surds

#### Sets

- Types of Sets
- Algebra of Sets
- Venn Diagrams and Their applications of sets

### Scheme of Work

#### Polynomials

- Change of Subject of Formula
- Factor and Remainder Theorem
- Factorisation of Polynomials of degree not exceeding 3
- Multiplication and Division of Polynomials
- Roots of Polynomials not exceeding degree 3
- Simultaneous equations including one linear and one quadratic
- Graphs of polynomials of degree not greater than 3

#### Variation

- Direct
- Inverse
- Joint
- Partial
- Percentage increase and decrease

#### Inequalities

- analytical and graphical solutions of linear inequalities
- Quadratic inequalities with integral roots only

#### Progression

- nth term of a progression
- Sum of AP and GP

#### Binary Operations

- Closure, Commutativity, Associativity and Distributivity
- Identity and Inverse

#### Matrices and Determinants

- algebra of matrices
- determinants of matrices
- inverse of 2 x 2 matrices

### Scheme of Work

#### Euclidean Geometry

- Properties of angles and lines
- Polygons, triangles, quadrilaterals and general polygons
- Circles: angle properties, cyclic quadrilaterals and intersecting chords
- Construction

#### Mensuration

- Length and area of plane geometrical figures
- Length of arcs and chords of a circle
- Perimeter and area of sectors and segments of circles
- surface areas and volumes of solids and composite figures
- The earth as a sphere - longitudes and latitudes

#### Coordinate Geometry

- midpoint and gradient of a line segment
- distance between two points
- parallel and perpendicular lines
- equations and straight lines

#### Trigonometry

- trigonometrical ratios of angles
- angles of elevation and depression
- bearings
- graphs and sine and cosine
- sine and cosine formula

### Scheme of Work

#### Representing Data

- Frequency distribution
- Histogram, Barchart and Pie chart

#### Measures of Location

- Mean, median, mode of grouped and ungrouped data
- cumulative frequency

#### Measures of Dispersion

- range, mead deviation, variance and standard deviation

#### Permutation and combination

- Linear and circular arrangements
- Arrangements involving repeated objects

### Scheme of Work

#### Differentiation

- limit of a function
- Differentiation of explicit algebraic and simple trig functions

#### Application of differentiation

- Rate of change
- maxima and minima

#### Integration

- Integration of explicit algebraic and simple trig functions
- area under the curve