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
Statistics – Poisson distribution hypothesis testing and errors covers;
Formulate hypotheses and carry out a hypothesis test of a population mean from a single observation from a Poisson distribution using direct evaluation of Poisson probabilities.
Understand Type I and Type II errors and define in context. Calculate the probability of making a Type I error from tests based on a Poisson or Binomial distributions
Matrices covers;
Inverse and determinant of a 3x3 Matrix
Plane geometry
Find eigenvalues and eigenvectors of 2×2 and 3×3 matrices
Find and use the characteristic equation.
Understand the geometrical significance of eigenvalues and eigenvectors
Diagonalisation of matrices
Write a matrix in the form UDU^(-1) and understand Mⁿ=UDⁿ U^(-1)
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
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 – 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
Improper Integrals covers;
Identify why a given integral is improper
Understand and clearly demonstrate the limiting processes involved, using correct notation
Identify when and why an improper integral does not have a finite value
Identify the point(s) where the integrand is undefined
Evaluate improper integrals where the integrand is undefined at a value in between the limits of integration.
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
Maclaurin series and l’Hôpital’s rule covers;
Find the Maclaurin series of a function including the general term
Evaluation of limits using Maclaurin series or l Hopital rule
The limits lim(x→∞)(x^k e^(-x)) and lim(x→0)(x^k lnx) where k>0, applied to improper 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
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 ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Implicit differentiation covers;
Differentiate simple functions and relations defined implicitly for first derivative only
Binomial expansion covers;
Extend the binomial theorem to any rational n , including its use for approximation
Be aware that the expansion is valid for |bx/a|<1
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
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 Hodder ed’ 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
Network Flow Augmentation Algorithm topics covers;
Use flow augmentation from an initial flow to find a maximum flow through a network with only upper capacities
State the maximum flow through a network in the context of the problem
Find a flow pattern corresponding to the maximum flow through a network.
Be able to use flow augmentation from an initial flow to find a maximum flow through a network with lower and upper capacities.
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.
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
Parametric equations covers;
Understand and use the parametric equations of curves and conversion between Cartesian and parametric forms
Use parametric equations in modelling in a variety of contexts
Differentiate simple functions and relations defined parametrically, for first derivative only
Integrate using parametric equations
A selection of presentations that show the learners how to find the nth term and sum of the first n terms of both Arithmetic progressions and Geometric progressions. Complete with demonstrations of how the formulas are formed, worked examples and questions for the learners to solve, complete with answers. Also included is the sum to infinity for a geometric series again with examples and questions for learners. There is also a presentation on recurrence relationships and the use of sigma notation.
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.
A presentation showing learners how to use binomial expansion. The presentations starts with basic quadratic and cubics to allow the learners to spot the patterns it then moves onto harder questions such as finding coefficients.
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.
A presentation that show the learners how to solve differential equations by separating the variables. It also includes an activity that teaches the learners how to convert from worded questions into a differential equation.
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.
Presentation that introduce surface area of 3D shapes including questions and answers. Also includes engineering drawings for students to calculate the volume and surface area.
Presentation that introduces radians and then shows how they are used to calculate arc lengths and sector areas complete with questions and answers. Engineering drawings allow the students to practice finding the area and perimeter of compound shapes that include sectors.
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 ‘AS level maths 13 – Circles’ for free download
Please leave a review to help me improve or add anything else that is needed
Graphs of functions and transformations covers;
Understand and use graphs of functions
Sketch curves defined by simple equations including polynomials.
y=a/x and y=a/x² (including their vertical and horizontal asymptotes)
Interpret algebraic solution of equations graphically
Use intersection points of graphs to solve equations.
Understand and use proportional relationships and their graphs.
Understand the effect of simple transformations on the graph of y=f(x) including sketching associated graphs:
* y=af(x)
* y=f(x)+a
* y=f(x+a)
* y=f(ax)
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
Differentiation covers;
Understand and use the derivative of f(x) as the gradient of the tangent to the graph of y=f(x) at a general point (x,y) including;
the gradient of a tangent as a limit;
interpretation as a rate of change;
sketching the gradient function for a given curve
differentiation from first principles for small positive integer powers of n
Differentiate x^n , for rational values of n , and related constant multiples, sums and differences
Second derivative including understanding and using it as the rate of change of gradient
Apply differentiation to find gradients, tangents and normals, maxima and minima and stationary points.
Identify where functions are increasing or decreasing.