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.
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 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
Mean value of a function covers;
Understand and evaluate the mean value of a function
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
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 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.
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
Binomial Expansion covers;
Understand and use the binomial expansion of (a+bx)^n for positive integer n
the notations n! and nCr
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
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
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
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).
Presentation and activity showing learners how the CLT works and how it can be used to produce confidence intervals. The initial activity demonstrates how plotting the students samples produces a normal distribution.
Instructions,
1. Students collect samples of a given size
2. Teacher uses powerpoint to plot students results and discusses results
3. Repeat with bigger sample to show how the results cluster round the mean.
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 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
Rational inequalities covers;
Solving inequalities such as (ax+b)/(cx+d)<ex+f algebraically.
Graphs of rational functions of form (ax+b)/(cx+d)
Asymptotes, points of intersection with coordinate axes or other straight lines
Associated inequalities.
Graphs of rational functions of form (ax^2+bx+c)/(dx^2+ex+f) , including cases when some of these coefficients are zero
Asymptotes parallel to coordinate axes.
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
Graph theory Complete graphs, adjacency matrices covers;
Understand and use the language of graphs including: ‘vertex’, ‘edge’, ‘trail’, ‘cycle’, ‘connected’, ‘degree’, ‘subgraph’, ‘subdivision’, ‘multiple edge’ and ‘loop’
Understand and use simple graphs, simple-connected graphs and trees.
Understand and use complete graphs and bipartite graphs, including adjacency matrices and the complement of a graph
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
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
Polar coordinates covers;
Understand and use polar coordinates and be able to convert between polar and Cartesian coordinates
Sketch curves with r given as a function of θ, including use of trigonometric functions