TERM 1
1.1 NUMBER THEORY
a) Identify whole numbers: odd, even, prime, factors, multiples.
b) Identify and use natural numbers, integers, rational and irrational numbers.
c) Recognize number patterns and continue a given number sequence.
d) Calculate squares and cubes and their roots by prime factorization.
e) Apply laws of indices (zero power, negative powers, some bases, fractional powers).
1.2 DIRECTED NUMBERS / ESTIMATION / APPROXIMATION
a) Apply the four rules and order of operation to directed numbers.
b) Use directed numbers in practical situations.
c) Write large and small numbers in standard form, using A x 10ⁿ
d) Where n is a positive or negative integer and 1 £ A < 10
e) Approximate to a given number of significant figures and decimal places.
1.3 VULGAR / DECIMAL FRACTION / PERCENTAGES
a) Recognize equivalence and conversion between these forms.
b) Apply four rules of vulgar and decimal fractions.
c) Calculate a given percentage of a quantity.
d) Express one quantity as a percentage of another.
e) Calculate percentage profit and loss (discounts).
f) Calculate Simple Interest / Hire Purchase.
g) Salaries / wages, overtime, commission, etc.
1.4 SETS
a) Use Set language and notation to describe sets.
b) Identify all set symbols.
c) Represent set relationships and solve, interpret two set Venn Diagrams.
d) Solve problems involving two sets using Venn diagrams.
1.5 RATIO & PROPORTION
a) Express in the form a:b, a:1, 1:a
b) Simplify ratios (include currencies, measurements, etc.)
c) Divide quantities into given ratios.
d) Recognize linear scales including map ratios.
e) Identify Direct and Inverse forms of proportion.
f) Solve problems involving direct and inverse proportion.
1.6 PROBABILITY
a) Define probability and express as a fraction.
b) Identify situations when probability is 0 (impossible) and 1 (certainty).
c) Calculate the probability of simple combined events using a tree diagram and grid where appropriate (space diagram).
a) Identify whole numbers: odd, even, prime, factors, multiples.
b) Identify and use natural numbers, integers, rational and irrational numbers.
c) Recognize number patterns and continue a given number sequence.
d) Calculate squares and cubes and their roots by prime factorization.
e) Apply laws of indices (zero power, negative powers, some bases, fractional powers).
1.2 DIRECTED NUMBERS / ESTIMATION / APPROXIMATION
a) Apply the four rules and order of operation to directed numbers.
b) Use directed numbers in practical situations.
c) Write large and small numbers in standard form, using A x 10ⁿ
d) Where n is a positive or negative integer and 1 £ A < 10
e) Approximate to a given number of significant figures and decimal places.
1.3 VULGAR / DECIMAL FRACTION / PERCENTAGES
a) Recognize equivalence and conversion between these forms.
b) Apply four rules of vulgar and decimal fractions.
c) Calculate a given percentage of a quantity.
d) Express one quantity as a percentage of another.
e) Calculate percentage profit and loss (discounts).
f) Calculate Simple Interest / Hire Purchase.
g) Salaries / wages, overtime, commission, etc.
1.4 SETS
a) Use Set language and notation to describe sets.
b) Identify all set symbols.
c) Represent set relationships and solve, interpret two set Venn Diagrams.
d) Solve problems involving two sets using Venn diagrams.
1.5 RATIO & PROPORTION
a) Express in the form a:b, a:1, 1:a
b) Simplify ratios (include currencies, measurements, etc.)
c) Divide quantities into given ratios.
d) Recognize linear scales including map ratios.
e) Identify Direct and Inverse forms of proportion.
f) Solve problems involving direct and inverse proportion.
1.6 PROBABILITY
a) Define probability and express as a fraction.
b) Identify situations when probability is 0 (impossible) and 1 (certainty).
c) Calculate the probability of simple combined events using a tree diagram and grid where appropriate (space diagram).
TERM 2
2.1 ALGEBRA
a) Write algebraic expressions from given statements.
b) Simplify simple algebraic expressions.
c) Evaluate, construct and transform simple formulae.
d) Factorize algebraic expressions.
e) Solve linear equations and inequalities in one variable including brackets.
f) Solve simultaneous equations using various methods. (Substitution, elimination and graphing)
2.2 GEOMETRY
a) Recognize geometrical figures and their properties.
b) Construct Triangles (Given three sides / Two sides and an angle / Two angles and a side)
c) Calculate unknown angles using the following geometrical properties:
(i) angle properties of triangles and quadrilaterals
(ii) angles formed by parallel lines (Alternate, Corresponding, Co-Interior)
(iii) angle properties of regular polygons (interior and exterior angles)
(iv) angles subtended from the same arc
(v) angle at the center is twice angle at circumference
(vi) angles in a semi-circle
(vii) angle between tangent and radius of circle
2.3 MENSURATION
a) Calculate perimeter and area of regular and irregular shapes
b) Calculate circumference and area of a circle
c) Identify various solids: construct nets for various solids.
d) Calculate volume of cuboids, cubes and cylinders.
2.4 TRIGONOMETRY
a) Apply Trig ratios - Sine, Cosine, Tangent and Pythagorean Theorem to Right Angled Triangles (including Isosceles triangle)
b) Apply Trig ratios to word problems
c) Identify and draw (sketch/scale drawing) diagrams representing three figure bearings
d) Apply trig. ratios to solutions of problems involving bearings, angles of elevation and depression.
2.5 VECTORS
a) Define and identify vectors
b) Represent vectors by direct line segment
c) Add vectors and multiply by scalars
d) Calculate the magnitude of a vector.
a) Write algebraic expressions from given statements.
b) Simplify simple algebraic expressions.
c) Evaluate, construct and transform simple formulae.
d) Factorize algebraic expressions.
e) Solve linear equations and inequalities in one variable including brackets.
f) Solve simultaneous equations using various methods. (Substitution, elimination and graphing)
2.2 GEOMETRY
a) Recognize geometrical figures and their properties.
b) Construct Triangles (Given three sides / Two sides and an angle / Two angles and a side)
c) Calculate unknown angles using the following geometrical properties:
(i) angle properties of triangles and quadrilaterals
(ii) angles formed by parallel lines (Alternate, Corresponding, Co-Interior)
(iii) angle properties of regular polygons (interior and exterior angles)
(iv) angles subtended from the same arc
(v) angle at the center is twice angle at circumference
(vi) angles in a semi-circle
(vii) angle between tangent and radius of circle
2.3 MENSURATION
a) Calculate perimeter and area of regular and irregular shapes
b) Calculate circumference and area of a circle
c) Identify various solids: construct nets for various solids.
d) Calculate volume of cuboids, cubes and cylinders.
2.4 TRIGONOMETRY
a) Apply Trig ratios - Sine, Cosine, Tangent and Pythagorean Theorem to Right Angled Triangles (including Isosceles triangle)
b) Apply Trig ratios to word problems
c) Identify and draw (sketch/scale drawing) diagrams representing three figure bearings
d) Apply trig. ratios to solutions of problems involving bearings, angles of elevation and depression.
2.5 VECTORS
a) Define and identify vectors
b) Represent vectors by direct line segment
c) Add vectors and multiply by scalars
d) Calculate the magnitude of a vector.
TERM 3
3.1 STATISTICS
a) Interpret and draw simple inferences from tables and statistical diagrams.
b) Construct and use pie charts, bar charts and histograms.
c) Calculate mean, median and mode.
3.2 GRAPHS
a) Plot and join points in two directions.
b) Interpret and use graphs in practical situations, including travel and conversion graphs.
c) Construct table of values for linear and quadratic graphs.
d) Solve linear and quadratic equations by graphic methods.
3.3 TRANSFORMATION
a) Reflect simple figures in horizontal and vertical lines.
b) Rotate simple plane figures about the origin through multiples of 90°.
c) Translate simple plane figures using vectors.
d) Construct enlargements of simple plane figures.
e) Recognize and describe forms of transformation.
a) Interpret and draw simple inferences from tables and statistical diagrams.
b) Construct and use pie charts, bar charts and histograms.
c) Calculate mean, median and mode.
3.2 GRAPHS
a) Plot and join points in two directions.
b) Interpret and use graphs in practical situations, including travel and conversion graphs.
c) Construct table of values for linear and quadratic graphs.
d) Solve linear and quadratic equations by graphic methods.
3.3 TRANSFORMATION
a) Reflect simple figures in horizontal and vertical lines.
b) Rotate simple plane figures about the origin through multiples of 90°.
c) Translate simple plane figures using vectors.
d) Construct enlargements of simple plane figures.
e) Recognize and describe forms of transformation.