Angular velocity vs linear velocity

Topic: circular motion

INtroducing the conic sections

Topics: conics, ellipse

The parametric form of the hyperbola

Topic: hyperbola

Turning quadratics into trig functions

Topic: integration

Solving locus problems by eliminating the parameters

Topics: parabola, locus, parametrics

When te order is unimportamt....

Topic: combination

Introducing the quadratic function

Topic: quadratic

How do we differentiate inverse trig functions?

Topics: inverse trig, calculus

What happens when some of the objects being arranged are the same?

Topics: probability, permutations

finding the greatest coefficient/term in a binomial expansion

Topics: binomial theorem, greatest coefficient

Techniques for how to approach factorising

Topics: algebra, factorising

Differentiating a second time

Topics: calculus, second derivative

Mathematical inverse of graphs

Topic: functions

The idea behind solving quadratics

Topics: algebra, quadratic

If the product of factors is zero, then at least one factor must be zero.

Topic: quadratic

Start with the basic curve and transform it to a new curve.

Topic: curve sketching

An alternative way of solving simultaneous equations.

Topics: algebra, matrices

A key procedure when dealing with surds is making the denominator a rationsl nuber.

Topics: surds, rationalising the denominator

A basic principle of mathematics is used for solving surdic equalities.

Topic: surds

Rationals and irrationals do not mix!!

Topic: surds

Using symmetry to sketch graphs

Topic: curve sketching

Using the symmetry of functions to help sketching

Topic: Symmetry

Selecting the objects when order is NOT important

Topic: combination

The shortest distance between a point and a line

Topic: cartesian geometry

Finding the shortest distance between a point and a lne.

Topics: linear function, perpendicular distance

Calculating the acute angle between two lines

Topics: linear function, angle between lines

Waht if some of the objects we are arranging look the same?

Topic: permutation

Geometry theorems involving triangles

Topics: geometry, triangle theorems

Using te counting techniques to solve probability problems.

Topics: permutations, combinations, probability

Investigating the linear function (straight line)

Topic: linear function

Dividing intervals in ratios other than 1:1

Topic: coordinate geometry

How to deal with the product of functions

Topic: calculus

Application of similar triangles

Topics: geometry, transversals

Proving Pascal Triangle relationships using the binomial theorem

Topic: binomial theorem

Using the discriminant to investigate the roots of a quadratic

Topics: discriminant, quadratic

Looking at some properties of the parabola

Topics: parabola, parametrics

The technique of inducing a proof.

Topics: mathematical induction, series

Using the first derivative to help sketch curves.

Topics: calculus, curve sketching

Describing the locus of points

Topics: locus, parabola

How to use the second derivative to help curve sketching

Topics: concavity, calculus

Solving inequalities vis induction

Topics: induction, inequalities

Introducing number patterns

Topic: arithmetic series

generalising the factorisation of two terms to the same index

Topic: factorisation

Using the theory to solve the problems

Topic: series

Using series to solve finance problems

Topics: series, finance

Calculating the mean of different types of wequences.

Topics: mean, series

Using the induction technique for prrof of a sum of series

Topics: series, induction

Defining some terms that are used with polynomials.

Topic: polynomials

Looking at a couple of past questions

Topic: induction

The reaminder and factor theorems

Topics: polynomials, factor theorem, remainder theorem

What happens when we can't find an integral?

Topics: integration, approximation

Using integration to find area.

Topics: integration, area

Using the patterns of series to solve problems.

Topics: series, geometric series, arithmetic series

Motion that oscillates between two points is known as Simple Harmonic Motion (SHM)

Topic: simple harmonic motion

Standard integrals involving inverse trig

Topics: inverse trig, calculus

Defining the inverse trig functions.

Topic: inverse trig

An extension to Pythagoras Theorem

Topics: trigonometry, cosine rule

Putting the different ideas together in order to solve probability problems

Topic: probability

Representing inequalities on the number plane.

Topic: regions

The steps involved in solviong trig equations.

Topics: trigonometry, equations

Deriving the sine rule

Topic: trigonometry

Converting between different angular measures

Topic: radians

A different way of measuring angles

Topics: radians, trigonometry

Defining and using the t results

Topic: t results

The first look at some angle theorems

Topics: geometry, ange theorems

differentiation via the method of first principles

Topics: calculus, first principles

Similar triangle proofs are similar to congruent riangle proofs

Topics: geometry, similarity

Taking a cartesian approach to parabola questions.

Topics: parabola, parametrics, tangents, normals

Using a cartesian approach to find tangents and normals

Topics: parabola, tangets, normals

Using the theorems in reverse

Topic: geometry

A parametric approach to tangent and normal problems.

Topic: parametriv parabola tangent normal

Creating the double angle formulae

Topics: trigonometry, double angles

How to find the slope of a tangent when you only know one point.

Topic: tangent

Differentiating a function divided by a function

Topics: calculus, quotient rule

Deriving functions diveded

Topics: calculus, quotient