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
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).
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
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
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;
Mid-ordinate rule and Simpson’s rule for integration.
Euler’s step by step method for solving first order differential equations
Euler’s improvement: y_(r+1)=y_(r-1)+2hf(xr,yr), x_(r+1)=x_r+h
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
Differential Equations First and Second Order covers;
Find both general and particular solutions to differential equations.
Solve differential equations of form y’’+ay’+by=0 where a and b are constants by using the auxiliary equation.
Solve differential equations of form
y’’+ay’+by=f(x) where a and b are constants by solving the homogeneous case and adding a particular integral to the complementary function (in cases where f(x) is a polynomial, exponential or trigonometric function).
Understand and use the relationship between the cases when the discriminant of the auxiliary equation is positive, zero and negative and the form of solution of the differential equation
Use differential equations in modelling in kinematics and in other contexts.
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
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
Cubic and quartic inequalities covers;
Inequalities involving polynomial equations (cubic and quartic)
Understand how to manipulate inequalities correctly
Consider critical values and give solution sets using correct interval or set notation
Use a calculator find numerical solutions.
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 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
Gantt Charts and Resource Histograms topics covers;
Construct a Gantt chart by drawing each activity on its own horizontal line, including showing the float of non-critical activities
Interpret a Gantt chart
Construct and interpret resource histograms, where the vertical axis represents the resource and the horizontal axis represents the time.
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.
Topics covers;
Understand and use the formula for a polar curve defined as r = f(θ) for α ≤ θ ≤ β
Use symmetry to simplify the evaluation of areas
Find composite areas.
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
A presentation that shows students how the compound angles are found using basic trigonometry. The students can complete the activity sheet and all the solutions are on the presentation for the teacher to discuss the results of cos(A+B) and sin(A+B). The presentation also covers double angles and examples of how they are used to solve trig equations and trig identities.
The other presentation shows students how to use harmonic form to solve equations of the form asinx+bcosx=c.
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 shows students how to show discrete random variables in different ways. It also shows how to find the mean and variance of discrete random variables and how to use linear scaling to solve general functions of x.
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 level AS Mathematics Indices and Surds
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
Indices and Surds covers;
Understanding and using the laws of indices for all rational exponents including fractional and negative powers
Use and manipulate surds, including rationalising the denominator
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 ‘A2 level maths 13 - Composite functions’ for free download
Please leave a review as it will really help me to improve my resources
Product, Quotient and Chain rule covers;
Differentiate using the product rule, the quotient rule and the chain rule, including problems involving connected rates of change and inverse functions