'Mathematics is the Queen of the Sciences'

~Carl Friedrich Gauss~

COURSE OUTLINES

 

Year 7 :

ARITHMETIC 1 (The Four Rules of Number, Directed Numbers, Fractions, Decimals and the Calculator)

GRAPHS (Grid References, Scales and Using Graphs)

PROPORTION (Change of Units, Problem Solving, Scale and Scale Drawing)

ARITHMETIC 2 (Percentages Ratio, Squares and Square Roots)

ALGEBRA 1 (Substitution, Addition and Subtraction and Equations)

STATISTICS AND PROBABILITY (Bar Charts, Means (Averages) and Probability)

GEOMETRY (Basic Principles, Measuring Angles, Line Symmetry of Triangles, Angle Properties, Angles of a Triangle and Regular Polygons)

ALGEBRA 2 (Basic Principles, Area, Volume and Speed)

ARITHMETIC 3 (Cubes and Cube Roots, Indices, Multiples and Factors, Prime Numbers and Prime Factors and Sequences)

GEOMETRY (Triangle Construction, Angles of Elevation and Scale Drawing)

 

Year 8 :

ARITHMETIC 1(Basic Principles, Decimals, Fractions, Directed Numbers, The Calculator and percentages),

ALGEBRA1 ( Basic Principles, Symbollic Expression, Brackets, Substitution, Equations Problem Solving and Sequences)

PROPORTION (Basic Principles, Change of Units, Exchange Rates, Problem Solving and Science Problems)

GEOMETRY 1(Basic Principles, Parallel Lines, Symmetry of Quadrilaterals, Rotational Symmetry, Angles of a Polygon, Miscellaneous  Calculations, ),

GRAPHS 1 (Basic Principles, Drawing Graphs and Using Graphs)

Algebra 2 (Multiplication and Division , Fractions, Factors, Substitution and Equations),

Arithmetic 2 (Index Form, Standard Form, Percentages and Cross-Number)

STATISTICS AND PROBABILTY (Basic Principles, Pie Charts and Probability),

GRAPHS 2 (Travel Graphs and Information Graphs) ,

TRANSFORMATIONS (Basic Algebraic Graphs, Reflections, Rotations, Translations, and Miscellaneous Transformations)

ALGEBRA 3 (Basic Principles, Area, Graphs and Area, Speed, Formulae and Inequalities)

GEOMETRY 2 (Basic principles, Bearings and Maps, Scale Drawing and Angle of depression)

 

Year 9:

ARITHMETIC 1 (Basic Principles, More Calculator Buttons, Percentage Profit and Loss, Problem Solving)

GRAPHS 1 (Basic Principles, Graph Relationships, Understanding Graphs, Investigating Graphs and Travel Graphs)

ALGEBRA 1 (Basic Principles, Brackets, Symbolic Expression, Problem Solving, Simplifying Algebraic Fractions, Solving Algebraic Fractions, Simultaneous Equations and Inequalities)

GEOMETRY 1 (Basic Principles, Angles of a Circle, Similar Triangles and Gradients)

TRIGONOMETRY (Basic Principles, Tangent Ratio, Sine and Cosine Ratios and Miscellaneous problems)

PROPORTION (Basic Principles, Change of Units, Exchange Rates (Mental), Comparative Costs, Problem Solving, Inverse Proportion and Science Problems)

ALGEBRA 2 (Equations, ‘Trial and Improvement’ Solution, Inequalities, Circumference of a Circle, Area of a Circle, Pythagoras’ Theorem, The Cylinder, Formulae, Rearranging Formulae)

GRAPHS 2 (Basic Principles, Graphs of , Graphs of , Graphs of , Graphs of )

ARITHMETIC 2 (Tolerance, Percentages, Wages and Salaries, Taxation, Interest and Loans and Discount and Hire Purchase)

STATISTICS and PROBABILITY (Basic Principles, Misuse of Statistics, Scatter Graphs, Calculating Averages, Frequency Distributions, Probability: Single Events, Probability: Combined Events)

GEOMETRY 2 (Basic Principles, Enlargements, Loci, Maps and Bearings, Scale Drawing, Drawing Three-dimensional Figures, Networks and Logo)

 

Year 10:

ARITHMETIC (Basic Principles, Percentage Error, Limits of Accuracy and Rational and Irrational Numbers)

ALGEBRA 1 (Basic principles, Multiplying Expressions in Brackets, Direct Proportion, Inverse Proportion, Algebra in Geometry and Indices)

GRAPHS 1 (Basic Principles , Quadratic Graphs , Cubic Graphs , Reciprocal Graphs ,Simultaneous Equations and Linear inequalities)

TRIGONOMETRY 1 (Basic Principles, Two Dimensional Problems and Miscellaneous Problems)

STATISTICS and PROBABILITY 1 (Basic Principles, Frequency distributions and Histograms)

ALGEBRA 2 (Simultaneous Equations, Problem Solving by Simultaneous Equations, Quadratic Equations and Problem Solving by Quadratic Equations)

GRAPHS 2 (Tangents to Graphs, Growth and Decay, Using Graphs to Solve Equations, Investigating Graphs on a Computer and More Equation-solving Using Graphs)

VECTORS (Basic Principles, Representing Vectors, Multiplying a Vector by a Scalar, Adding and Subtracting Vectors, Problem Solving and Magnitude and Direction)

GEOMETRY 1 (Three-dimensional Co-ordinates, Areas and Perimeters, Surface Areas and Volumes, The Dimension (Dim) of a Formula, Congruent Triangles and Similar Shapes and Solids)

TRIGONOMETRY 2(Drawing 3-dimensional Figures, Calculations with 3-dimensional Figures, Planes and Lines in 3-dimensional Figures, Trigonometric Ratios for all Angles and Solving Trigonometrical Equations)

GEOMETRY 2 (Basic Principles, Choosing a route and Loci)

STATISTICS AND PROBABILITY 2 (Measures of Spread, Cumulative Frequency, Questionnaires and Probability)

ALGEBRA 3 (Flow Charts, Sequences, Trial and Improvement Methods)

CALCULUS (Exponential Functions, Graphs and Logarithm)

 

Year 11:

TRIGONOMETRY (Basic Principles, Unit Circle, Special Angles, The sine Rule, The cosine Rule, Solid Trigonometry)

CIRCLE GEOMETRY (Angle Properties of a Circle, Tangent Theorems, Construction, The length in a Circle)

ALGEBRA (Quadratic Equations, Problem Solving by quadratic Equations, Vieta’s Theorems, Further Factorizing and Simplifying, Simplifying Algebraic Fractions, Harder equations, Simultaneous equations, Changing the Subject of a  Formula, Further Uses of Completing the Square)

SEQUENCES (Arithmetic Sequence, the Properties of Arithmetic Sequences, the Sum Formulae of Arithmetic Sequences, Geometric Sequence, the Properties of Geometric Sequences, the Sum Formulae of Geometric Sequences)

FUNCTIONS (The Graphs of Quadratic Functions, Inverse Functions, Composite Functions)

CALCULUS (The Definition of Derivative, the Properties of Derivative, Maximum and Minimum Points, Optimization)

CALCULUS (Addition of Rectangles, Trapezium Rule, Basic Principles of Integral, Properties of Integral, Indefinite Integral, Definite Integral, Area by Integral, Volume by Integral)

 

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YEAR 7

YEAR 8

YEAR 9

YEAR 10

YEAR 11

SOME SUPPORT MATERIALS