TERM 1
1.1 ALGEBRA
a) Review basic algebra - writing expressions, simplifying simple algebraic expressions.
b) Simplifying algebraic expressions involving fractions.
c) Review factoring binomials.
d) Factorize expression including quadratic - trinomials.
e) Change subject of formulae (include factorization)
f) Solve linear equations/inequalities involving fractions
g) Solve simultaneous/quadratic equations
h) Solve word problems involving algebra (application).
1.2 INDICES
a) Apply laws of Indices
b) Simplify expressions involving fractional exponents.
c) Solve exponential equations.
1.3 VARIATION
Identify and solve problems involving Direct and Inverse forms of variation
1.4 MATRICES
a) Define and identify uses of matrices
b) Identify size and compatibility of matrix
c) Add/Subtract and Multiply Matrices
d) Calculate determinant and inverse of matrix
1.5 GEOMETRY
a) Review Polygons - Interior and Exterior angles
b) Review Circle theorems (8)
c) Review Mensuration - Perimeter, Area & Volume
d) Similar Shapes & Solids
1.6 TRIGONOMETRY & BEARINGS
a) Review Pythagoras' Theorem
b) Review Trig Ratios
c) Apply Sine and Cosine Rules to find missing sides and angles in other triangles.
d) Review Bearings/Scale Drawing. Also three-dimensional diagrams.
a) Review basic algebra - writing expressions, simplifying simple algebraic expressions.
b) Simplifying algebraic expressions involving fractions.
c) Review factoring binomials.
d) Factorize expression including quadratic - trinomials.
e) Change subject of formulae (include factorization)
f) Solve linear equations/inequalities involving fractions
g) Solve simultaneous/quadratic equations
h) Solve word problems involving algebra (application).
1.2 INDICES
a) Apply laws of Indices
b) Simplify expressions involving fractional exponents.
c) Solve exponential equations.
1.3 VARIATION
Identify and solve problems involving Direct and Inverse forms of variation
1.4 MATRICES
a) Define and identify uses of matrices
b) Identify size and compatibility of matrix
c) Add/Subtract and Multiply Matrices
d) Calculate determinant and inverse of matrix
1.5 GEOMETRY
a) Review Polygons - Interior and Exterior angles
b) Review Circle theorems (8)
c) Review Mensuration - Perimeter, Area & Volume
d) Similar Shapes & Solids
1.6 TRIGONOMETRY & BEARINGS
a) Review Pythagoras' Theorem
b) Review Trig Ratios
c) Apply Sine and Cosine Rules to find missing sides and angles in other triangles.
d) Review Bearings/Scale Drawing. Also three-dimensional diagrams.
TERM 2
2.1 FUNCTIONS
a) Define and identify terminology and notation
b) Determine the inverse of a function
c) Identify and evaluate composite functions
2.2 SET THEORY
a) Use set notations and Venn Diagrams to represent set relationships and define regions
b) Use Venn diagram to solve three set problems
c) Interpret three set Venn Diagrams
2.3 VECTORS
a) Identify and sketch vectors
b) Add/Subtract and Multiply column vectors
c) Apply Pythagoras' theorem to calculate magnitude.
d) Use Vectors to establish geometrical results - apply to Quadrilaterals.
2.4 CALCULUS
a) Find derivatives of algebraic functions
b) Apply derivatives to the slope of curves and the equations of tangents
2.5 PROBABILITY & STATISTICS
a) Use probability tree to solve problems involving two events dependent and independent events by applying the addition and multiplication laws.
b) Review Probability Space
c) Identify cumulative frequency
d) Construct cumulative tables
e) Draw cumulative frequency curve and use to determine median, inter-quartile, and answer questions related to more than, less than, and probability.
a) Define and identify terminology and notation
b) Determine the inverse of a function
c) Identify and evaluate composite functions
2.2 SET THEORY
a) Use set notations and Venn Diagrams to represent set relationships and define regions
b) Use Venn diagram to solve three set problems
c) Interpret three set Venn Diagrams
2.3 VECTORS
a) Identify and sketch vectors
b) Add/Subtract and Multiply column vectors
c) Apply Pythagoras' theorem to calculate magnitude.
d) Use Vectors to establish geometrical results - apply to Quadrilaterals.
2.4 CALCULUS
a) Find derivatives of algebraic functions
b) Apply derivatives to the slope of curves and the equations of tangents
2.5 PROBABILITY & STATISTICS
a) Use probability tree to solve problems involving two events dependent and independent events by applying the addition and multiplication laws.
b) Review Probability Space
c) Identify cumulative frequency
d) Construct cumulative tables
e) Draw cumulative frequency curve and use to determine median, inter-quartile, and answer questions related to more than, less than, and probability.