Title	Description
	Calculating Tangents & Normals	Using calculus, we can now find the equation of a tangent or normal to any differentiable function at any point within its domain.
	Chain Rule	For differentiating functions within functions. Includes instances of how the chain rule plays out for exponentiated functions, exponentials, logarithms and trigonometric functions.
	Deriving Powers of x	Derivation of the result for dy/dx when y = x^n, where n is a constant.
	Differentiating 'Unnatural' Exponentials	Derivation of the result for dy/dx when y = a^x, where a is an arbitrary constant.
	Linear Trigonometric Equations	Illustrated worked solutions for finding angles that satisfy particular trigonometric equations.
	Locus of a Parabola	Finding the focus and directrix of a parabola, given its equation.
	Primitives	Introduction to the techniques required to find a function given its derivative.
	Trigonometric Expansions	Geometric deductive proofs of the sin(a+b) and tan(a+b) expansions. NB: this is 3-Unit content.
	2-Unit Program Summary	Preliminary 2U JRAHS program
	3-Unit Program Summary	Preliminary Extension 1 JRAHS program

Marking Schemes Each of the files below includes (where appropriate) fully worked solutions for the relevant question, as well as a detailed marking scheme that describes where marks were allocated for each part.
	Cambridge Ex 10E, Q20	A prickly calculus question involving first principles.
	2008 2-Unit Prelim Final	Selected questions only.
	2009 2-Unit Half-Yearly	Paper also available.
	2009 2-Unit Prelim Final	Paper also available.

Scans Handwritten solutions to exercises or tests set in class.
	Trigonometry Review Worksheet	Covers trigonometric equations, trigonometric identities, right-angle triangle trigonometry and use of the sine/cosine rule in problem solving.
	2010 2-Unit Half-Yearly Retest	Includes paper and fully annotated marking scheme.
	Quadratic Theory Review Test	Includes questions and fully worked solutions.
	Radian Measure Review Test	Includes questions and fully worked solutions.

Videos Recorded from actual lessons delivered in my classroom, sometimes divided up into sections for convenience. These can also be browsed through on the Maths playlist at WooTube.
	Find a tangent's equation	Once the basic rules of differentiation have been introduced, we can calculate the equation of a tangent to a curve at any point.
	Introduction to Series and Sequences	Defining terms, explaining the basic concepts with a few common examples.
	Introduction to Arithmetic Progressions: 1, 2, 3	Covering the basic ideas and formulas related to progressions with a common difference.
	Sigma Notation	Introducing a shorthand method for
	Introduction to Geometric Progressions: 1, 2	Covering the basic ideas and formulas related to progressions with a common ratio.
	Limiting Sum of a Geometric Progression	Investigating the curious case of an infinite series with a finite sum.
	Superannuation: 1, 2, 3	Applying the theory of GPs to an common investment scenario.
	APs and GPs: Tricky Question	Worked example of a question with an interesting twist.
	Time Payments: 1, 2, 3, 4, 5	Investigating what happens when we attempt to pay off a debt that keeps growing due to the duration of the loan.