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 ‘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
A large selection of presentations and activities that show the learners how to sketch rational functions. It includes intercepts, asymptotes and also looks at substituting small and large values of x so students can collect all the data needed to sketch the graphs.
Also includes finding the min/max point on a graph without using calculus
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
Exponential functions and logarithms covers;
Know and use the function a^x and its graph, where a is positive
Know and use the function e^x and its graph
Know that the gradient of e^kx is equal to ke^kx and hence understand why the exponential model is suitable in many applications
Know and use the definition of logax as the inverse of a^x where a is positive and x≥0
Know and use the function ln x and its graph
Know and use ln x as the inverse function of e^x
Understand and use the laws of logarithms
Solve equations of the form a^x=b
Use logarithmic graphs to estimate parameters in relationships of the form y=ax^n and y=kb^x , given data for x and y
Understand and use exponential growth and decay
Use in modelling (examples may include the use of e in continuous compound interest, radioactive decay, drug concentration decay, exponential growth as a model for population growth)
Consideration of limitations and refinements of exponential models
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 ‘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
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
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
Factor theorem, Algebraic division and simultaneous equations covers;
Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division
Use of the factor theorem and remainder theorem
Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.
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 – Discrete random variables and expectation covers;
Understand DRVs with distributions given in the form of a table or function
Evaluate probabilities for a DRV
Evaluate measures of average and spread for a DRV to include mean, variance, standard deviation, mode or median
Understand expectation and know the formulae:
* E(X)=∑x p
* E(X^2 )=∑^2 p
* Var(X)=E(X^2)-E(X)^2
Understand expectation of linear functions of DRVs and know the formulae:
* E(aX+b)=aE(X)+b
* Var(aX+b)=a^2 Var(X)
Know the discrete uniform distribution defined on the set {1, 2, …, n}.
Understand when this distribution can be used as a model.
Proof of mean and variance of discrete uniform 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 ‘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
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
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
Integration covers;
Integrate e^kx , 1/x , sinkx , coskx and related sums, differences and constant multiples
Use a definite integral to find the area between two curves
Understand and use integration as the limit of a sum
Carry out simple cases of integration by substitution and integration by parts
Understand these methods as the inverse processes of the chain and product rules respectively
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
Scatter graphs covers;
Interpret scatter diagrams and regression lines for bivariate data, including recognition of scatter diagrams which include distinct sections of the population (calculations involving regression lines are excluded)
Understand informal interpretation of correlation
Understand that correlation does not imply causation
Recognise and interpret possible outliers in data sets and statistical diagrams
Select or critique data presentation techniques in the context of a statistical problem
Be able to clean data, including dealing with missing data, errors and outliers
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 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
Hyperbolic functions covers;
Understand the definitions of hyperbolic functions sinhx, coshx and tanhx and be able to sketch their graphs
Understand and be able to use the definitions of the inverse hyperbolic functions
Derive and use the logarithmic forms of the inverse hyperbolic functions
Understand and use tanhx=sinhx/coshx
Understand and use cosh^2 x-sinh^2 x=1
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 – Chi tests for association covers;
Construction of m×n contingency tables
Use of ∑(O-E)²/E as an approximate χ² statistic with appropriate degrees of freedom
Know and use the convention that all Ei should be greater than 5
Identification of sources of association in the context of a question
Powerpoint and Notebook presentations that introduces the equation of a circle from the complete square form. It moves onto plotting circles and finding the equation from a plot to tangents and normal using the radius. It also covers intersection of a line and a circle.
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.
Simplex Algorithm topics covers;
Identify when the simplex algorithm should be applied (ie for situations that have three or more basic variables)
Introduce and use slack variables to convert inequalities into equalities (only less than or equal to inequalities will be used during assessment)
Use the simplex algorithm to maximise an objective function subject to linear constraints
Use the simplex algorithm to minimise an objective function P by maximising the objective function Q = –P
understand and use the stopping condition for the simplex algorithm (ie the objective row being non-negative)
Find the optimal value of the objective function from a simplex tableau
Identify any basic or slack variables that have zero values
Find the values of any basic or slack variables that have non-zero values
Interpret a Simplex tableau at any stage of the algorithm.
Convert higher order games to linear programming problems and solve using the Simplex algorithm
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
A large selection of resources that covers all straight line work. Starting with the basic gradient and intercept work and then moves on to parallel, perpendicular and intersection points.
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 large selection of presentations that introduce calculus using the quadratic graph. They cover everything from sketching quadratic graphs to using differentiation to find the min/max points. The presentations also cover equation of tangent and normal and using the second derivative to find the nature of a stationary point.
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.