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Core 1
chapters. |
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The following self contained materials give near
complete coverage to the OCR 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 |
|
Indices and 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 |
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 |
Transformation of graphs.
Relies upon graph drawing
software. |
N/A |
Free |
N/A |
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 |
|
| |
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 |
| Trial paper 7 |
|
|
|
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Back to the
top
|
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Core 2
chapters. |
| |
The following self contained materials give near complete
coverage to the OCR 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 |
|---|
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 |
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 |
Polynomials.
Basic operations (including division) and
the factor/remainder theorems. |
£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 |
Integration.
Indefinite and definite integration etc.
Areas between graphs and improper integrals. |
£2.00 | £1.50 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.50 |
Numerical integration.
The trapezium rule. |
Free |
Free |
N/A |
|
| |
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top
|
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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 |
| Trial paper 7 |
|
|
|
| |
Back to the
top
|
| |
Core 3
chapters. |
| |
The following self contained materials give near complete
coverage to the OCR 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 |
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. |
£1.50 | £1.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £2.00 |
Trigonometry 1.
A very brief recap of some core 2 trigonometry, focussing
particularly on trigonometric equations. |
Free |
Free |
N/A |
Trigonometry 2.
Inverse trig. functions. Identities (Pythag. compound etc.) The
form Rcos(x + A) etc. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Differentiation.
The chain, product and quotient rules. dy/dx = 1/ (dx/dy) etc.
Related rates of change. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Integration.
Integrands requiring linear substitutions. Exponentials, 1/x
etc. Includes volumes of revolutions. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Numerical methods.
Finding approximate solutions using iteration. 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 |
| Trial paper 7 |
|
|
|
| |
Back to the
top
|
| |
Core 4
chapters. |
| |
The following self contained materials give near complete
coverage to the OCR 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 |
Differentiation.
Differentiation
of the basic ratios; sin, cos, tan, sec, cosec and cot.
Parametric and implicit functions and differentiation thereof. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Integration.
Trigonometric functions (including use of trig. identities etc.)
Integration by substitution and integration by parts. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
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
|
| |
Further Pure 1 chapters. |
| |
The following self contained materials give near complete
coverage to the OCR Mathematics Further Pure 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 |
|---|
Summation of series.
Limits,
standard series, differences, sums to infinity for convergent
series etc. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Proof by induction.
Not restricted
to summing series.
Includes an appendix with examples of more general proofs. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
Roots of polynomial equations.
Quadratic and cubic equations. Sums and products of roots etc.
Deriving equations with roots based upon those of a given
equation etc. |
£2.50 | £2.00 |
£1 or free with
a corresponding chapter |
|
Buy together for £3.50 |
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|
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Back to the
top
|
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Further Pure 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
|
Please e-mail me for details.