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
Sampling, data representation, averages and spread covers;
Understand and use the terms ‘population’ and ‘sample’
Use samples to make informal inferences about the population
Understand and use sampling techniques, including simple random sampling and opportunity sampling
Select or critique sampling techniques in the context of solving a statistical problem, including understanding that different samples can lead to different conclusions about the population.
Interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency
Connect to probability distributions
Interpret measures of central tendency and variation, extending to standard deviation
Be able to calculate standard deviation, including from summary statistics
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.
Selection of probability presentations showing the learners how to use different probability skills. These presentations are aimed at aimed at GCSE and A level stats.
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 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.
A presentation that shows learners how to use binomial distribution techniques to solve probability questions. It shows learners how to use the binomial formula and the binomial tables and also how to find the mean and variance of binomial distributions.
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.
This pack of presentations and activities covers straight line correlation including Product Moment Correlation Coefficient, Least Square Regression Line and Residuals. The 40 page student book comes complete with activities and questions and the presentation are linked to pages from their booklet.
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.
Matching maths jigsaw that forms together to make a Christmas tree. It covers basic skill so ideal for most levels, it is also possible to edit if you want to change any question/answers.
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 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
Complex numbers covers;
Add, subtract, multiply and divide complex numbers in the form x+iy with x and y real
Understand and use the terms ‘real part’ and ‘imaginary part’
Understand and use the complex conjugate
Use and interpret Argand diagrams
Convert between the Cartesian form and the modulus-argument form of a complex number
Multiply and divide complex numbers in modulus-argument form
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
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 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
Critical path analysis covers;
Construct, represent and interpret a precedence (activity) network using activity-on-node
Determine earliest and latest start and finish times for an activity network
Identify critical activities, critical paths and the float of non-critical activities
Refine models and understand the implications of possible changes in the context of critical path analysis
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 covers;
Understand conditions for a Poisson distribution to model a situation.
Understand terminology X~Po(λ)
Know Poisson formula and calculate Poisson probabilities using the formula or equivalent calculator function
Know mean, variance and standard deviation of a Poisson distribution.
Use the result that, if X~Po(λ) then the mean and variance of X are equal
Understand the distribution of the sum of independent Poisson distributions.
Calculus inverse trigonometric and hyperbolic functions covers;
Differentiate inverse trigonometric and hyperbolic functions
Integrate functions of the form
* (a²-x²)^(-1/2)
* (a²+x²)^(-1)
* (x²+a²)^(-1/2)
* (x²-a²)^(-1/2)
Be able to choose trigonometric and hyperbolic substitutions to integrate associated functions.
Integrate using partial fractions (extend to quadratic factors ax²+c in the denominator)
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;
Modulus of functions and associated inequalities
Graphs of y=|f(x)| and y=1/(f(x)) for given y=f(x)
Understand the concept of an oblique asymptote
Conic functions extended to composite transformations including rotations
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
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.
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