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 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
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
Kinematics covers;
Understand and use fundamental quantities and units in the S.I. system: length, time, mass
Understand and use derived quantities and units: velocity, acceleration, force, weight
Understand and use the language of kinematics: position; displacement; distance travelled; velocity; speed; acceleration
Understand, use and interpret graphs in kinematics for motion in a straight line
Displacement against time and interpretation of gradient
velocity against time and interpretation of gradient and area under the graph
Understand, use and derive the formulae for constant acceleration for motion in a straight line
Use calculus in kinematics for motion in a straight 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 ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Statistics – Hypothesis tests for Normal and Bivariant data covers;
Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context
Understand and apply correlation coefficients as measures of how close data points lie to a straight line and be able to interpret a given correlation coefficient using a given p-value or critical value
Calculus inverse trigonometric and hyperbolic functions covers;
Differentiate inverse trigonometric and hyperbolic functions
Integrate functions of the form
* (a²-x²)^(-1/2)
* (a²+x²)^(-1)
* (x²+a²)^(-1/2)
* (x²-a²)^(-1/2)
Be able to choose trigonometric and hyperbolic substitutions to integrate associated functions.
Integrate using partial fractions (extend to quadratic factors ax²+c in the denominator)
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
Topics covers;
Modulus of functions and associated inequalities
Graphs of y=|f(x)| and y=1/(f(x)) for given y=f(x)
Understand the concept of an oblique asymptote
Conic functions extended to composite transformations including rotations
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
Coupled differential equations covers;
Analyse and interpret models of situations with one independent variable and two dependent variables as a pair of coupled 1st order simultaneous equations and be able to solve them, for example predator-prey models
Interpret a given context to form a pair of first order simultaneous differential equations
Eliminate x or y to form and solve a second order differential equation
Solve a pair of first order simultaneous differential equations to find the dependent variables as functions of the independent variable.
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
Please leave a review as it will really help me to improve my resources
This pack contains 144 questions that could be used at the start of the lesson.
• They cover a mixture of topics that are taught in all A level maths syllabuses.
• They are designed to take about 5 to 10 minutes and all the questions have a full set of answers.
• There is enough questions to cover 36 weeks worth of 4 lessons a week.
• The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.
This large presentation introduces the modulus function and its graph. It covers how to sketch a modulus graph and also has questions for students to do. It then moves into solving modulus functions both algebraically and using the graphs.
SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.
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
Please leave a review to help me improve or add anything else that is needed
Quadratics covers;
Using the discriminant of a quadratic function, including the conditions for real and repeated roots
Completing the square
Solution of quadratic equations including solving quadratic equations in a function of the unknown.
Graphs of quadratics
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
Trigonometry covers;
Understand and use the definitions of sine, cosine and tangent for all arguments
The sine and cosine rules
The area of a triangle in the form (1/2) ab sinC
Understand and use the sine, cosine and tangent functions
Their graphs, symmetries and periodicity
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 ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Mechanics – Equilibrium, resolving, Statics, Dynamics covers;
Understand and use Newton’s second law for motion in situations where forces need to be resolved (restricted to 2 dimensions)
Resolving forces in 2 dimensions
Equilibrium of a particle under coplanar forces
Understand and use addition of forces
Resultant forces
Dynamics for motion in a plane
Coefficient of friction
Understand and use the F ≤ μR model for friction
Motion of a body on a rough surface
Limiting friction and statics
TThese 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
Statistics – Continuous random variables covers;
Understand and use a probability density function, f(x), for a continuous distribution and understand the differences between discrete and continuous distributions
Find the probability of an observation lying in a specified interval
Find median and quartiles for given probability density function, f(x)
Find mean, variance and standard deviation for given CRV function, f(x).
Know the formulae:
* E(X)=∫x f(x) dx
* E(X^2 )=∫x^2 f(x) dx
* Var(X)=E(X^2 )-E(X)^2
Understand expectation of linear functions of CRVs and know the formulae:
* E(aX+b)=aE(X)+b
* Var(aX+b)=a^2 Var(X)
Know the formula E(g(X))=∫g(x) f(x) dx
Find the mean, variance and standard deviation of functions of a continuous random variable such as E(5X^3 ), E(18X^(-3) ), Var(6X^(-1) )
Know that if X and Y are independent (discrete or continuous) random variables then E(X+Y)=E(X)+E(Y) and Var(X+Y)=Var(X)+Var(Y)
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
Inverse and reciprocal trigonometric functions covers;
Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan
Understand their relationships to sine, cosine and tangent
Understand and use;
* sec^2 θ = 1 + tan^2 θ
* cosec^2 θ = 1 + cot^2 θ
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
Route inspection problem covers;
Solve Route Inspection problems
Route inspection algorithm
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
Travelling salesman problem covers;
Find and interpret upper bounds and lower bounds for the Travelling Salesman problem
Evaluate, modify and refine models which use networks
Using adjacency matrices to solve travelling salesman problem
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
Game theory for zero sum games covers;
Understand, interpret and construct pay-off matrices
Find play-safe strategies and the value of the game
Prove the existence or non-existence of a stable solution
Identify and make use of dominated strategies
Find optimal mixed strategies for a game including use of graphical methods