| |
Core 1
chapters. |
| |
The following self contained materials give near
complete coverage to the AQA Mathematics Core 1 module. Topics are broken
down into the smallest viable units of work to allow teachers / students to
mix and match etc.
Each chapter contains notes, examples and full exercises (with answers).
End of unit tests also accompany each chapter
(at no extra cost!) which contain full solutions.There are two
versions of each chapter; one with full solutions to all examples and one
with all solutions removed. The latter are intended for direct use within
the classroom (I myself find these a very productive means of teaching).
Please contact me if you'd like me to customise/combine
chapters in any way to reflect individual preferences etc. I can do these
very quickly.
|
| |
| | With
solutions | Without solutions |
Accompanying test |
|---|
Basic algebra.
A 'gentle' introduction to AS level
mathematics by way of a little revision. |
£1.50 | £1.00 |
N/A |
|
Buy together for £2.00 |
|
Surds. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Quadratic equations I.
Solving equations only;
factorising, completing the square etc. |
£1.50 | £1.00 |
N/A |
|
Buy together for £2.00 |
Quadratic equations II.
Sketching quadratic graphs and
further completing the square.
The accompanying test covers both chapters on quadratic
equations. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Inequalities.
Linear and quadratic. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Simultaneous equations.
Includes examples where both
equations are linear and examples of one linear, one quadratic
etc. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
The discriminant of a quadratic.
This chapter
completes the work on quadratics and includes a miscellaneous
set of exam style questions which are quite challenging! |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Polynomials.
Basic operations (including division) and
the factor/remainder theorems. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Coordinate geometry of lines.
Distance between points
and mid-points. Gradients; y = mx + c etc. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Coordinate geometry of circles.
|
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Differentiation.
Gradients of curves, different
notations; tangents, normals, higher derivatives, stationary
points etc.
Includes an appendix detailing differentiation from first
principals. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Integration.
Indefinite and definite integration of
polynomials etc. Areas between graphs. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
|
| |
Back to the
top
|
| |
Core 1
trial papers. |
| |
The following include full solutions and
are available for £2.00 each.
Trial paper 1 |
Trial paper 2 |
Trial paper 3 |
| Trial paper 4 |
Trial paper 5 |
Trial paper 6 |
|
| |
Back to the
top
|
| |
Core 2
chapters. |
| |
The following self contained materials give near
complete coverage to the AQA Mathematics Core 2 module. Topics are broken
down into the smallest viable units of work to allow teachers / students to
mix and match etc.
Each chapter contains notes, examples and full exercises (with answers).
End of unit tests also accompany each chapter
(at no extra cost!) which contain full solutions.There are two
versions of each chapter; one with full solutions to all examples and one
with all solutions removed. The latter are intended for direct use within
the classroom (I myself find these a very productive means of teaching).
Please contact me if you'd like me to customise/combine
chapters in any way to reflect individual preferences etc. I can do these
very quickly.
|
| |
| | With
solutions | Without solutions |
Accompanying test |
|---|
|
Indices. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Transformation of graphs.
Relies upon graph drawing
software. |
N/A |
Free |
N/A |
Sequences and series.
Includes arithmetic and
geometric progressions / series, sigma notation, convergence
etc. | £2.00 |
£1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Binomial expansions.
Positive integral index only. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Solution of triangles.
Sine and cosine rules. Area of
a triangle formula. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Trigonometric graphs.
Basic symmetries and periods.
Simple applications. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Radians, arcs and sectors.
|
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Trigonometric identities and equations.
Includes the
basic Pythagoras identity. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Logarithms.
Basic rules etc. Excludes 'natural'
logarithms. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Differentiation.
An extension of the core 1 material
to functions of the form y = x^n for rational n. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Integration.
An extension of the core 1 material
to functions of the form y = x^n for rational n. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Numerical integration.
The trapezium rule. |
Free |
Free |
N/A |
|
| |
Back to the
top
|
| |
Core 2
trial papers. |
| |
The following include full solutions and
are available for £2.00 each.
| Trial paper 1 |
Trial paper 2 |
Trial paper 3 |
| Trial paper 4 |
Trial paper 5 |
Trial paper 6 |
|
| |
Back to the
top
|
| |
Core 3
chapters. |
| |
The following self contained materials give near
complete coverage to the AQA Mathematics Core 3 module. Topics are broken
down into the smallest viable units of work to allow teachers / students to
mix and match etc.
Each chapter contains notes, examples and full exercises (with answers).
End of unit tests also accompany each chapter
(at no extra cost!) which contain full solutions.There are two
versions of each chapter; one with full solutions to all examples and one
with all solutions removed. The latter are intended for direct use within
the classroom (I myself find these a very productive means of teaching).
Please contact me if you'd like me to customise/combine
chapters in any way to reflect individual preferences etc. I can do these
very quickly.
|
| |
| | With
solutions | Without solutions |
Accompanying test |
|---|
The modulus function.
Basic
concepts / equations / inequalities etc. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Functions.
Basic
concepts. One-one, many-one functions. Inverse functions.
Composite functions. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Trigonometry.
Inverse trig. functions. sec, cosec, cot etc. Pythagorean identities. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Exponential and Logarithmic functions.
Begins with a recap of the material within the core 2 module
before moving on to natural logarithms etc. Includes exponential
growth \ decay from the core 4 module. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Differentiation.
The chain, product and quotient rules. dy/dx = 1/ (dx/dy) etc.
Exponential, logarithmic and trigonometric functions. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Integration.
Exponential / trigonometric functions.
Integration by inspection, substitution and integration by parts.
Volumes of revolution. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Numerical methods.
Finding approximate solutions using iteration. Mid-ordinate and Simpson's rule
for the area under a curve. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
|
| |
Back to the
top
|
| |
Core 3
trial papers. |
| |
The following include full solutions and
are available for £2.00 each.
| Trial paper 1
|
Trial paper 2
|
Trial paper 3
|
| Trial paper 4
|
Trial paper 5 |
Trial paper 6 |
|
| |
Back to the
top
|
| |
Core 4
chapters. |
| |
The following self contained materials give near
complete coverage to the AQA Mathematics Core 4 module. Topics are broken
down into the smallest viable units of work to allow teachers / students to
mix and match etc.
Each chapter contains notes, examples and full exercises (with answers).
End of unit tests also accompany each chapter
(at no extra cost!) which contain full solutions.There are two
versions of each chapter; one with full solutions to all examples and one
with all solutions removed. The latter are intended for direct use within
the classroom (I myself find these a very productive means of teaching).
Please contact me if you'd like me to customise/combine
chapters in any way to reflect individual preferences etc. I can do these
very quickly.
|
| |
| | With
solutions | Without solutions |
Accompanying test |
|---|
Rational functions.
Simplifying
rational functions (inc. quotients and remainders). Partial
fractions (inc. integration). |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Binomial theorem.
Rational index. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Trigonometry.
Compound angle identities, double angle etc.
The
form Rcos(x + A) etc. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Exponentials and logarithms.
Already covered within
the core 3 module. |
N/A |
N/A |
N/A |
Differentiation.
Parametric and implicit functions and differentiation thereof. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Integration.
Even and odd powers of sin x and cos x etc. |
Free
(Only 8 pages!) |
Free |
N/A |
First order
differential equations.
Separating the variables.
Includes forming equations etc. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Vectors.
Displacement / position
vectors. Vector equations of lines. Scalar product. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
|
| |
Back to the
top
|
| |
Core 4
trial papers. |
| |
The following include full solutions and
are available for £2.00 each.
| Trial paper 1 |
Trial paper 2 |
Trial paper 3 |
| Trial paper 4 |
Trial paper 5 |
Trial paper 6 |
|
| |
Back to the
top
|
Please e-mail me for details.