Topics covers; Know conditions for an exponential distribution to be used as a model. Know the probability density function, f(x), and the cumulative distribution function, F(x), for an exponential distribution Calculate probabilities for an exponential distribution using F(x) or integration of f(x) Know proofs of mean, variance and standard deviation for an exponential distribution. Understand that the lengths of intervals between Poisson events have an exponential 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 Please leave a review as it will really help me to improve my resources

a short, multiple choice quiz to make sure pupils fully understand what is meant by notation and can see which part of the graph it represents.

Another great lesson from Lisa McNulty.

Whole class activity. A simple idea; how does rolling a dice and doubling differ from rolling two dice and adding? Excel comes to the rescue here, and no real dice have to be found.

With brief solutions

This resource covers the Sampling topic for the new A-Level maths Spec for edexcel/AQA/OCR and other exam boards There are 10 questions (All with several parts) asking students to describe the advantages and disadvantages to certain samples, Give definitions such as ‘Census’, ‘Sampling Frame’ etc, and asking students how to carry out a certain sample This resource is perfect for exam revision in the build up to exams or as extra practise in the classroom to check understanding after teaching sampling. Please leave a review if the resource has been helpful! I can provide solutions if necessary and please let me know if there are any issues with the resource and I will fix them ASAP! :)

This is a whole lesson looking at using Coding and how to use it to make finding the mean, variance and standard deviation easier. It looks at rearranging as a part of the skills required and is very clear at why coding is used and how to use it. This lesson is ready to go, with no prep required. It is also great for home learning. 21 slide presentation + worksheet. starter learning objectives (differentiated) Video Activity Excellent teaching slides (with custom animation) Superb examples to follow worksheet (with answers) Plenary ALL LESSONS on Statistics in one MEGA BIG Bundle: Statistics: All Lessons ALSO: Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues and we will respond within 24 hours Lessons are flat-packed (limited editing) for copyright purposes Thank you in advance for your support, purchase and feedback #mathslessons #maths #secondarymaths #mathscenters #teachingideas #algebra #teacherslife #teachingkids #teachingmaths #mathsactivities #homeschooling #tesresources #teaching #mathsisfun #teachershare #teachertips #teachers #KS3 #KS4 #KS5 #igcse #learning #gcsemaths

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)

Topical Questions are an essential tool for any student looking to succeed in their exams. These questions are similar to regular past paper questions, but instead of covering all topics, they focus on a specific topic or theme. This allows students to test their knowledge in a more targeted way and identify any areas they may need to improve on. By practicing with Topical Past Papers, students have the opportunity to enhance their understanding of a subject and build their confidence ahead of the exam.

This is a resource for Hypothesis Testing in the statistics part of the A Level Maths specification. It covers Hypothesis Tests for Normal distributions and Binomial Distributions Testing whether students can tell which distribution is the approapriate one for the question at hand and knowledge on the properties of the binomial distribution **Full solutions are included in the document ** If you notice any mistakes please do tell me! :) Need checklists for A-Level maths? Statistics checklist https://www.tes.com/teaching-resource/a-level-maths-2017-statistics-topics-checklist-12055719 AS Level Checklist https://www.tes.com/teaching-resource/a-level-maths-2017-as-topics-checklist-12055407

Powerpoints and worksheets for Edexcel A level statistics on Rectangular distribution 4 lessons on: Rectangular distribution probabilities Applied Rectangular distribution Harder Rectangular distribution Rectangular distribution exam questions

This is a whole lesson looking at all the aspects of Probability Density Functions (PDF) and Continuous Random Variables. This lesson is ready to go, with no prep required. It is also great for home learning. 19 slide presentation + worksheet The Lesson includes: Starter - a quick reminder to finding the area of a trapeziums Learning Objectives (differentiated) Keywords Great teaching slides Lots of examples to follow AFL questions to check understanding Worksheet + mark scheme Plenary ALL LESSONS on Statistics in one MEGA BIG Bundle: Statistics: All Lessons + All Resources ALSO: Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues and we will respond within 24 hours Lessons are flat-packed (limited editing) for copyright purposes Thank you in advance for your support, purchase and feedback  #mathslessons #maths #secondarymaths #mathscenters #teachingideas #algebra #teacherslife #teachingkids #teachingmaths #mathsactivities #homeschooling #tesresources #teaching #mathsisfun #teachershare #teachertips #teachers #KS3 #KS4 #KS5 #igcse #doodlenotes #gcsemaths

This is the third of four lessons on the Normal Distribution, which builds on the first two lessons. This lesson looks at different types of exam questions and problems, especially working backwards to find the mean and standard deviation. The lesson is ready to go, with no prep required. It is also great for home learning. 25 slide presentation + resources. This lesson includes: + starter + learning objectives (differentiated) + keywords + superb teaching slides + excellent examples on how to solve these problems one step at a time + MWB activities + Worksheets x2 (with answers) + Plenary ALL LESSONS on Statistics in one BIG Bundle: Statistics: All Lessons ALSO: + Please provide a RATING with written feedback + Please email outstandingresourceshelp@gmail.com if there are any issues and we will respond within 24 hours + Lessons are flat-packed (limited editing) for copyright purposes Thank you in advance for your support, purchase and feedback #mathslessons #maths #secondarymaths #mathscenters #teachingideas #algebra #teacherslife #teachingkids #teachingmaths #mathsactivities #homeschooling #tesresources #teaching #mathsisfun #teachershare #teachertips #teachers #KS3 #KS4 #KS5 #igcse #learning #gcsemaths

This is the fourth of a series of lessons on the Normal Distribution. This lesson needs to proceed lessons on the binomial and normal distributions, both available as a lesson from OR. Specifically, this lesson is for teaching when to use the normal distribution as an approximation for a binomial distribution. It looks at why we use and how to use it as well as looking in detail at common mistakes students make in order hopefully for pupil’s to avoid doing it. This lesson is ready to go, with no prep required. It is also great for home learning. 23 slide presentation + supplementary resources. This lesson includes: starter learning objectives (differentiated) keywords superb teaching slides excellent examples on how to solve these problems one step at a time MWB activities Worksheets (with answers) Exam Questions (with answers) Plenary All LESSONS on Statistics in one MEGA BIG Bundle: Statistics: All Lessons ALSO: Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues and we will respond within 24 hours Lessons are flat-packed (limited editing) for copyright purposes Thank you in advance for your support, purchase and feedback #mathslessons #maths #secondarymaths #mathscenters #teachingideas #algebra #teacherslife #teachingkids #teachingmaths #mathsactivities #homeschooling #tesresources #teaching #mathsisfun #teachershare #teachertips #teachers #KS3 #KS4 #KS5 #igcse #learning #gcsemaths

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

This is a student workbook that can supplement lessons on hypothesis tests for a population mean. I teach the stages of hypothesis testing using analogies to a criminal trial. My students like this comparison; they are more engaged and it helps them to see the relevance of the different stages. Once students are confident with the terminology, we create our own courtroom in the classroom and role-play the stages of hypothesis testing with students acting as the jury, prosecution, judge and defence. Contents of the workbook 1. A summary of the 5 stages of hypothesis testing 2. A detailed analogy to a criminal trial 3. One worked example 4. Space for students to complete their own examples. 5. Worksheets on: a. the null and alternative hypothesis b. type I and type II errors c. checking assumptions d. sampling distributions e. the normal distribution f. the t-distribution g. interpreting p-values Answers for worksheets provided in separate document. The preview file shows a selection of pages from the workbook.