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
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 ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Numerical methods locating roots and Newton-Raphson covers;
Locate roots of f(x)= 0 by considering changes of sign of f(x) in an interval of x on which f(x) is sufficiently well-behaved
Understand how change of sign methods can fail
Solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams
Solve equations using the Newton-Raphson method and other recurrence relations of the form x_(n+1) = g(x_n )
Understand how such methods can fail
Use numerical methods to solve problems in context
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
Combinations of transformations covers;
Combinations of transformations (translations and stretches)
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
Linear programming covers;
Formulate constrained optimisation problems
Solve constrained optimisation problems via graphical methods
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
Binary operations covers;
Understand and use binary operations including use of modular arithmetic and matrix multiplication
Understand, use and prove the commutativity of a binary operation
Understand, use and prove the associativity of a binary operation
Understand and prove the existence of an identity element for a given set under a given binary operation
Understand and prove the existence of an inverse element for a given set under a given binary operation
Construct a Cayley Table for a given set and binary operation.
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
Maclaurin series covers;
Recognise and use the Maclaurin series for e^x, ln(1+x), sinx, cosx, and (1+x)^n, and be aware of the range of values of x for which they are valid (proof not required).
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.
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 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
A 12 page presentation that reminds learners about Mean, Median, Mode and range including mean from a frequency table. It also introduces standard deviation and variance and then leads on to linear scaling. The presentation also comes complete with questions and answers.
The presentation can be used by A level students or higher GCSE students
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
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 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 – Vectors, Kinematics and Projectiles covers;
Use vectors in three dimensions
Use vectors to solve problems in kinematics
Use trigonometric functions to solve problems in context, including problems involving vectors, kinematics and forces
Understand, use and derive the formulae for constant acceleration for motion in 2 dimensions using vectors
Use calculus in kinematics for motion in 2 dimensions using vectors
Model motion under gravity in a vertical plane using vectors
Projectiles
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
Argand diagrams and complex roots covers;
Construct and interpret simple loci in the Argand diagram such as |z-a|>r and arg(z-a)=θ
Know that non-real roots of polynomial equations with real coefficients occur in conjugate pairs.
Solve any quadratic equation with real coefficients
Solve cubic or quartic equations with real coefficients given sufficient information to deduce at least one root for cubics or at least one complex root or quadratic factor for quartics
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
Type one errors and type two errors covers;
Calculate probability of making Type I error from tests based on a normal distribution
Understand the power of a test. Calculations of P(Type II error) and power for a test for tests based on a normal, Binomial or a Poisson distribution
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
Complex Numbers covers;
Understand de Moivre’s theorem and use it to find multiple angle formulae and sums of series
Use de Moivre’s theorem for both finite and infinite trigonometric series.
Know and use the definition e^iθ=cosθ+isinθ and the form z=re^iθ
Find the n distinct nth roots of re^iθ for r≠0 and know that they form the vertices of a regular n-gon in the Argand diagram.
Use complex roots of unity to solve geometric problems
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
Random Variables Cumulative Density Functions covers;
Know the formula E(g(X))=∑g(x)p
Find the mean, variance and standard deviation for functions of a discrete random variable such as E(5X³), E(18/X³ ), Var(6X )
Understand and use a cumulative distribution function, F(x).
Know the relationship between f(x) and F(x).
Understand the rectangular distribution.
Know the conditions for the rectangular distribution to be used as a model.
Calculate probabilities from a rectangular distribution.
Know proofs of mean, variance and standard deviation for a rectangular distribution
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
Yates’ correction covers;
Knowledge of when and how to apply Yates’ correction.
Know and be able to use the fact that Yates’ correction is used in a contingency table when there is only 1 degree of freedom (ie in a contingency table with 2 rows and 2 columns, which may occur after pooling has taken place)
Know and be able to use the formula
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
Differential equations integrating factor covers;
Find and use an integrating factor to solve differential equations of form dy/dx+P(x)y=Q(x) and recognise when it is appropriate to do so
Recognise when a given differential equation may be rearranged into the form to allow an integrating factor to be used
Find an integrating factor by inspection or by using the formula
Solve more difficult differential equations by transforming them into this form by means of a suitable given substitution.
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