
Title

Description


Coordinate Geometry PreTest

This test assesses students for their grasp of year 8 coordinate geometry. Worked solutions included.


Coordinate Geometry Proofs: Quad. Sufficiency Conditions

Incorporates understanding of foursided Euclidean figures with methods in coordinate geometry (gradients, distances, etc).


Curve Sketching: Rational Functions

Steps for how to accurately draw the graphs of rational functions (for instance, y = (x+1) / ((x2)*(x4)) ).


Deriving the Index Laws

The rules that apply when handling indices (exponents) are often learnt by rote without understanding where they come from. It's straightforward to see that they all arise from the basic definition of exponentiation.


Number System History

An overview of how our understanding and representation of numbers has progressed over the centuries.


Oblique Asymptotes

Stepbystep guide of how to identify and locate the equations of asymptotes that are neither horizontal nor vertical.


Solving Cubic Equations

Guide on how to find the roots of a thirddegree polynomial.


Introduction to Solving Polynomial Equations

Includes derivation of Remainder and Factor Theorem.


Polynomials Topic Test

Includes fully worked solutions.


Synthetic Division

Once you learn it, you'll never use long division to divide through polynomials again.


Solving Quadratic Equations

Overview of factorising, completing the square and quadratic formula to solve seconddegree polynomials.


Intercepts on Parallel Lines

Derivation of the geometric theorem, "parallel lines preserve the ratios of intercepts on transversals".


Weekly Quiz Template

9C (2010) template.


Program Summary

Year 9 JRAHS program
