Term 1

Week 1-3: Exponents and surds

Week 4-6: Equations and Inequalities

Week 7-8: Number Patterns

Week 9-11 Analytical Geometry

Term 2

Week 1-4: Functions

Week 5-8: Trigonometry

Term 3

Week 1: Measurement

Week 2-4: Euclidean Geometry

Week 5-6: Trigonometry

Week 7-8: Finance

Week 9-10: Probability

Term 4

Week 1-2: Statistics

##### Term 1 Week 1-3: Exponents and surds

Simplify expressions and solve equations using the laws of exponents for rational exponents

Add, subtract, multiply and divide simple surds

Solve simple equations involving surds

##### Term 1 Week 4-6: Equations and Inequalities

Revision

Complete the square

Quadratic inequalities in one unknown (Interpret solutions graphically)

Equations in two unknowns, one of which is linear and the other quadratic

Nature of roots

##### Term 1 Week 9-11: Analytical Geometry

The equation of a line through two given points

The equation of a line through one point and parallel or perpendicular to a given line

The inclination of a line, where  is the gradient of the line

##### Term 2 Week 5-8: Trigonometry

Investigate the influence of p in the parabola: y = a(x+p)^2 + q

- Interactive graphing to see the influence of a, p and q: y = ax^2 + bx + c

The hyperbola: y = a / (x+p) + q

The exponential graph: y = a.b^(x+p) + q

Investigate the influence of k and p in trig graphs:

y = a sin (kx+p) + q

y = a cos (kx+p) + q

y = a tan (kx+p) + q

Trigonometric Identities

Reduction formula

Trigonometric equations

Measurement

- Cone

##### Term 3 Week 2-4: Euclidean Geometry

Accept results established in earlier grades as axioms and also that a tangent to a circle is perpendicular to the radius, drawn to the point of contact.

Then investigate and prove the theorems of the geometry of circles:

Use the above theorems and their converses, where they exist, to solve riders

##### Term 3 Week 5-6: Trigonometry

Sine, cosine and area rules

##### Term 3 Week 7-8: Finance

Simple and compound decay formulae: A = P(1 - in) and A =  P(1 - i)^n

(including straight line depreciation and depreciation on a reducing balance)

Effect of different periods of compound growth and decay

(including nominal and effective interest rates)

##### Term 3 Week 9-10: Probability

Revise the addition rule for mutually exclusive events: 𝑃(𝐴 𝑜𝑟  𝐵)=𝑃𝐴 +𝑃(𝐵)  and P(A) = 1 – P(A')

Dependant and Independent events

Venn diagrams

Tree diagrams

Contingincy Tables

##### Term 4 Week 1-2: Statistics

Histograms

Frequency polygon and Ogives (cumulative frequency curves)

Variance and standard deviation of ungrouped data

Symmetric and skewed data

Identification of outliers

This site was designed with the
.com
website builder. Create your website today.