I teach sixth form maths students so most of my resources are aimed at A level maths. I have recently updated my resources to cover the new A level maths syllabus and I have produced PowerPoints that fully cover all of the new A level maths course. I also use a large a large amount of Notebook presentations because they are more flexible that PowerPoint. I have put a free resource on for you to try to show how the presentations work you can open it online using SMART Notebook Express website.
I teach sixth form maths students so most of my resources are aimed at A level maths. I have recently updated my resources to cover the new A level maths syllabus and I have produced PowerPoints that fully cover all of the new A level maths course. I also use a large a large amount of Notebook presentations because they are more flexible that PowerPoint. I have put a free resource on for you to try to show how the presentations work you can open it online using SMART Notebook Express website.
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
Proof by induction covers;
Construct proofs using mathematical induction; contexts include sums of series, divisibility, and powers of matrices
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Integration covers;
Know and use the Fundamental Theorem of Calculus
Integrate xⁿ (excluding x=-1), and related sums, differences and constant multiples
Evaluate definite integrals
Use a definite integral to find the area under a curve
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Statistics - Conditional probability covers;
Understand and use conditional probability, including the use of tree diagrams, Venn diagrams, two-way tables
Understand and use the conditional probability formula P(A│B)=P(A∩B)/P(B)
Modelling with probability, including critiquing assumptions made and the likely effect of more realistic assumptions
Vectors covers;
Calculate and understand the properties of the vector product.
Understand and use the equation of a straight line in the form (r-a)×b=0
Use vector products to find area of a triangle
Understand and use the vector and Cartesian forms of the equation of a plane
Express the equation of a plane in the form r.n=d
Calculate the angle between two planes and the angle between a line and a plane
Find the line of intersection of two planes or three planes
Find the intersection of a line and a plane.
Calculate the perpendicular distance from a point to a plane
These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
Volume of revolution covers;
Derive formulae for and calculate volumes of revolution
Reduction formula covers;
Understand how reduction techniques can be used to repeatedly reduce the complexity of the integrand to enable a given integral to be calculated
Understand how integration by parts may be applied to produce reduction formulae
Understand how other techniques of integration may be used to find reduction formulae
Use reduction formulae to evaluate integrals.
These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
Hyperbolic functions covers;
Use the domains and ranges of the hyperbolic functions.
Understand the definitions of hyperbolic functions sechx, cosechx and cothx, including their domains and ranges.
Use the domains and ranges of the inverse hyperbolic functions.
Differentiate and integrate hyperbolic functions.
Be able to derive logarithmic formulae for sech, cosech and coth
Understand and use the identities;
* sech² θ=1-tanh² θ
* cosec² θ=coth² θ-1
* cosh2θ=cosh² θ+sinh² θ
* sinh2θ=2sinhθcoshθ
Construct proofs involving hyperbolic functions and identities
These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Linear Relationships covers;
Use logarithmic graphs to estimate parameters in relationships of the form 〖y=ax〗^n and 〖y=kb〗^x , given data for x and y
Summations and Method of Differences covers;
Understand and use formulae for the sums of integers, squares and cubes and use these to sum other series.
Understand and use the method of differences for summation of series
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
Vector equations of lines and scalar product covers;
Understand and use the vector and Cartesian forms of an equation of a straight line in 3-D
Calculate the scalar product and use it to calculate the angle between two lines.
Check whether vectors are perpendicular by using the scalar product
Find the intersection of two lines.
Calculate the perpendicular distance between two lines, from a point to a line.
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Trapezium rule covers;
Understand and use numerical integration of functions, including the use of the trapezium rule and estimating the approximate area under a curve and limits that it must lie between
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Differentiation of trigonometric and exponential functions and points of inflection covers;
Understand and use the derivative of sinx and cosx
The second derivative and its connection to convex and concave sections of curves and points of inflection
Differentiate e^kx, a^kx , sinkx , coskx , tankx and related sums, differences and constant multiples
Understand and use the derivative of lnx
Apply differentiation to find points of inflection
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Trigonometry equations and identities covers;
Understand and use tanθ=sinθ/cosθ
Understand and use sin²θ+cos²θ=1
Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Please leave a review as it will really help me to improve my resources
Trigonometry Addition rule, Double angles, Harmonic form and Small angles covers;
Understand and use double angle formulae
Use of formulae for sin(A ± B) , cos(A ± B) and tan(A ± B)
Understand geometrical proofs of these formulae
Understand and use expressions for a cos θ + b sin θ in the equivalent forms of rcos(θ±α) or rsin(θ±α)
Understand and use the standard small angle approximations of sine, cosine and tangent
* sinθ≈θ
* cosθ≈1-θ^2/2
* tanθ≈θ
where θ is in radians
Construct proofs involving trigonometric functions and identities
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
Conic sections covers;
Sketching graphs of curves with equations CONIC EQUATIONS including intercepts with axes and equations of asymptotes of hyperbolas.
Single transformations of curves involving translations, stretches parallel to coordinate axes and reflections in the coordinate axes and the lines y= ±x.
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Proof covers;
Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion
Use methods of proof, including proof by deduction, proof by exhaustion
Disproof by counter example
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Binomial distribution covers;
Calculate probabilities using the binomial distribution
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Sequence and series covers;
Understand and work with arithmetic sequences and series, including the formulae for nth term and the sum to n terms
Understand and work with geometric sequences and series including the formulae for the nth term and the sum of a finite geometric series
The sum to infinity of a convergent geometric series, including the use of |r|<1
Modulus notation
Understand and use sigma notation for sums of series
Use sequences and series in modelling
Work with sequences including;
* Those given by a formula for the nth term
* Those generated by a simple relation of the form x_(n+1)= f(x_n )
* Increasing and decreasing sequences
Periodic sequences
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Statistics – Normal distribution covers;
Understand and use the Normal distribution as a model; find probabilities using the Normal distribution
Link to histograms, mean, standard deviation, points of inflection and the binomial distribution
Select an appropriate probability distribution for a context, with appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate