Topic

Page

Topic

Page

The number system
Types of numbers:
Natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, imaginary numbers and undefined numbers.
Different notations:
Set-builder, interval and graphic.
Multiples
LCM

4-6

7-9

10

Factorising of a polynomial
HCF, brackets, groups, difference of two squares, quadratic trinomial
(With variables.)

29-36

Square roots and cube roots
Square roots and cube roots of terms without variables.
Square roots and cube roots of terms with variables.

10-12

Calculations with rational numbers. (Fractions)
Different types of fractions.
Multiplying, dividing, adding and subtracting of fractions.
(With and without variables.)
Simplify recurring fractions to common fractions.

37-41

Calculations with integers
Multiplying, dividing, adding and subtracting.
With and without variables

13

Exponents
Powers, multiplying of powers, dividing of powers, power raising, roots of powers.
Sequence of calculations.

42-44

Algebra
Letters, numbers, variables, exponents, base, powers, coefficients, expressions.
Calculations with like and unlike terms.
Substitution.
Expressions as word problems.

14-21

Scientific notation
With and without calculator.
With roots.

45-47

Products

22-25

Equations
Linear, quadratic and word problems.

48-52

Factors of a monomial (one term)
With and without variables.
The largest common factor of a binomial (two terms) and a polynomial (many terms).
Prime numbers
Combined numbers
The number 1 (one)
The number 0 (zero)
Inverses  (Adding and multiplying)
Prime factors

26-28

Functions and patterns.
Different representations of relations.
Number patterns, relations, equations.
Linear and quadratric relations.
Standard form of a straight line.
Cartesian plane, co-ordinate, graphic representation of relations.
Gradient/slope of a straight line.
Parallel and perpendicular lines.
Relations: Functions and non-functions.

53-67

Topic

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Topic 

Page

Ratio, rate and proportion
Ratio, division, increase, decrease and rate.
Direct and inverse proportion.
Graphic representation of proportion.

68-72

Straight-line geometry
Angles: acute, obtuse, right, straight, reflex, revolution, adjacent.
Theorems about angles: vertical opposite, complementary, supplementary.
Theorems about triangles: interior angles, exterior angle, equal angles opposite equal sides, isosceles triangle.
Pairs of angles: corresponding angles, alternate angles, co-interior angles.
Lines: cut, perpendicular and parallel lines.

104-109
________

Finances
Percentage, profit, cost price, selling price.
Simple and compound interest.
Hire-purchase, inflation, depreciation, exchange rate, rent, commission.

73-79

Transformation
Translation, reflection, rotation, reduction and enlarging at the origin.

80-88

Congruency
Conditions + examples

110-113

Size and measurement
Measure units and conversion.
e.g. Km.; Hm.; Dm.; m.; dm.; cm.; mm.

89

Similarity
Conditions  + examples

114-117

Probability
Probability scale
Results
Set of results
Combined occurences
Relative frequencies
Represented in a table
Tree diagram
_____________________________________

90-92
______

Two-dimensional shapes and measuring
The circle: characteristics, area and circumference.
Polygons: triangles, tetragons, pentagons, hexagons, heptagons………
Regular and irregular polygons.
Tessalations
Triangles: isosceles, equilateral, right- angled. Theorem of Pythagoras.
Area of triangles.
Quadrilaterals: trapezium, parallelogram, rectangle, rhombus, square and kite. Definitions and characteristics of quadrilaterals.

118

119

120

120-121

122-126

Statistics
Definition, steps, collection.
Organising: frequency table and  stem- and-leave diagram.
Graphic representation: bar graph, histogram, frequency polygon, broken-line graph, scatter graph, sector diagram and pictogram.
Calculations: arithmetic mean, median, mode.
Measures of tendency: range, interquartile spread  of data.
Rejection/acceptance/consequences.

93-103

Three-dimensional shapes and  measuring
Surface areas and volumes of a cone, sphere, pyramid and prism.

Different prisms.

Polyhedra:
tetrahedra, dodecahedra, octahedra…….
Regular and irregular polyhedra.
_____________________________

127

128-129

130-132