# Advanced statistics teaching resources: Poisson distribution

Resources and ideas for mathematics, advanced statistics, poisson distribution, written by teachers to support teaching and learning

#### Mathematics Statistics 1 Lessons

Mathematics Statistics 1 LessonsThis is a set of lessons for S1 Statistics 1 A level Mathematics. The resources includes Powerpoints.Powerpoint include:Learning objectivesQuestions on the topicImportant information written in red boxes to scaffold learning. Topics:IntroductionAveragesMeasures of SpreadCorrelationRegression ProbabilityBinomialNormal TheoryConfidence Interval Revision PoissonI hope you enjoy these lessons, they can be used in the following ways:To deliver a course with reduced planning but not reducing quality of the lesson.As a basis for an observation lesson to save time preparing resources.To give to students for out of lesson learning.To support teachers who are new to this topic, again to reduce planning time.As a bases for your own lessons where you can include exam questions to each presentation.As an activity where the questions can be printed and cut out.

#### Statistics and Probability

Discrete and continuous random variables, expectation algebra, chi-squares and goodness of fit, hypothesis testing, confidence levels CLT and distribution of sample means..

#### Geometric, binomial, Poisson and negative binomial distributions.

Introduction, solved examples, theory, GDC screens. Full lessons.

#### Statistics 2

This bundle includes all the topics needed to cover the S2 AQA course including; Discrete and Continuous Random Variables Poisson Distribution Estimation Hypothesis Testing Chi-squared

#### Poisson Distribution and Estimation using t-distribution

A presentation that explains to the students what the Poisson distribution is and how to solve a range of problems using the Poisson distribution. This includes the graphs of Poisson distributions as well as the mean, variance and standard deviation.A presentation that introduces the t-distribution and how it is used for samples below a size of 30. It shows the students how to use the standard tables to find confidence intervals using t-distribution.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.

#### Statistics: (S2) Poisson Distribution (2 lessons + resources)

This presentation contains 2 whole lessons, depending on the amount of time you have per lesson for A-Level! It comes with excellent past exam questions with answers. Specifically this lesson is for teaching ... what is Poisson distribution and normal distribution are and how and when to use the normal distribution as an approximation and approximation using the Poisson distribution. I have used the PowerPoint slides to structure the lesson, and included plenty of examples etc... and I have found to be a great resource to help pupils understand and make excellent progress.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always if you purchase then please rate and feedback, thanks.

#### Statistics: (S2) Linear Adjustments, Combinations of random variable, normal / poisson distribution

This teaching PowerPoint contains 4 whole lessons!Lesson 1: Linear adjustment of random variablesLesson 2: Linear Combinations of random variablesLesson 3: Linear combinations for normal distributionsLesson 4: Linear combinations for Poisson distributions+ Rule sheet HANDOUTThese lessons are very structured, with clear lesson objectives, clear examples and small activities to build understanding of what linear adjustments/combinations do and why the rules are the way they are. The lessons do link to a textbook that I use, however, for copyright reasons I can not publish these exercises, but this is easily substituted for another textbook that you use to accompany your course. I have found these PowerPoints to be very effective in teaching this topic. NOTE: Feel free to browse my shop for more free and premium resources and as always please rate and feedback, thanks.

#### MEI stats 2 power point presentation

This presentation covers the Poisson distribution, The normal distribution, samples and hypothesis testing and Bivariate data. Including approximations and hints and tips. The resource is also extremely useful just before exams if printed out as flash cards to induce mathematical thinking before students enter an exam

#### Poisson Distribution Quiz

A series of questions that can be used to test comprehension.

#### A2 Linear Combinations of Random Variables

***IF YOU LIKE THIS PLEASE CHECK OUT MY OTHER UNITS FOR A2 MATHS. BUY EACH UNIT SEPARATELY OR GET THE WHOLE PACK FOR £10!***These are my teaching notes for the CIE A2 Statistics Linear Combinations Unit. They include:- Linear Combinations of Variables- Sum of independent Poisson Variables- Sum and Difference of independent Normal DistributionsNotes include examples and explanations - essentially everything you would hope your students to copy down during the unit. The textbook exercise references are for the Nelson Mathematics Probability and Statistics Text (978-1-4085-1563-1). Which I highly recommend as an excellent text and which as been endorsed by Cambridge.Great for beginning teachers and also useful for students who are absent as you can print out a copy for their notes.

#### A2 Poisson Distribution Full Teaching Notes

***IF YOU LIKE THIS PLEASE CHECK OUT MY OTHER UNITS FOR A2 MATHS. BUY EACH UNIT SEPARATELY OR GET THE WHOLE PACK FOR £10!***These are my teaching notes for the CIE A2 Statistics Poisson Distribution Unit. They include:- Explanation of Poisson Distribution- Calculating probabilities using the Poisson Distribution- Using the Poisson Distribution to approximate both the Binomial and Normal Distributions.I've also included a summary diagram of the three distributions and when to use them to approximate.Notes include examples and explanations - essentially everything you would hope your students to copy down during the unit). The textbook exercise references are for the Nelson Mathematics Probability and Statistics Text (978-1-4085-1563-1). Which I highly recommend as an excellent text and which as been endorsed by Cambridge.Great for beginning teachers and also useful for students who are absent as you can print out a copy for their notes.

#### WJEC C3, C4 and S1 Revision Relay

Designed for revising modules C3, C4 and S1 from the WJEC A Level Maths specification. Inspired by the C2 Revision Relay found on www.resourceaholic.com. Creates a bit of healthy competition during revision time!Instructions: Print the Question Sheets (one per pair), laminate (optional) and cut up into separate questions. Print the Answer Sheets (one per pair).  Hand out the Answer Sheets and spare paper for workings. Hand out Question 1 to each pair. When a student brings you their Answer Sheet showing the correct answer, give them the next question. If they are incorrect, let them try again. The winning team is the first to answer Question 10 correctly.

#### Poisson or Binomial

11 questions in which students have to decide whether the distribution is Poisson or Binomial. Could be used with mini-whiteboards. The animation reveals the correct answer on each slide.

#### Statistics 2 - 15 min exam question challenges

A collection of exam question challenges for the Edexcel Statistics 2 specification. Each worksheet consists of 2 or 3 sets of questions arranged in difficulty order. Each set of questions should take between 15-20 minutes to complete. How they are used can be up to the teacher, I have used these as either starter or plenary activities during review lessons where students are given a choice of which set of questions to complete in the 15 minute time limit. Then in pairs or groups work through any problems they may have encountered.

#### Binomial and Poisson Topic Mat

A mat to summarise key concepts from the S2 topics Binomial/Poisson Distributions (Edexcel). I also include a suggestion for how the mat could be filled out. I usually use it as a plenary – ask the pupils for the key ideas from the lesson and collectively fill in sections over a sequence of lessons. At the end of a topic they have a topic mat from which to revise from. I also photocopy them on different coloured paper so they act as dividers in students’ folders.I am creating these resources as part of an action research project at my school looking at preparation for improving students retention across a two year linear course and trying to bring the science of memory into the classroom. If you have used these resources and have any comments/feedback/ideas please comment or contact me - thanks!

#### AQA S2 Past Paper Revision

A differentiated, PowerPoint-formatted version of all the 2006-2014 S2 past paper questions for AQA A-Level Statistics, listed by topics with an inserts page for all tables and graphs.Green - questions that appear towards the beginning of the paper (easy)Amber - questions that appear in the middle of the paper (medium)Red - questions that appear towards the end of the paper (hard)Any feedback would be appreciated and please let me know if there are any mistakes with the animations etc. Enjoy!Emma

#### Statistics Tables Test - S2 looking up tables

Give your A level students a tables test! How quickly and accurately can they find the correct values from the statistical tables? Covers Poisson, Chi-squared and critical values for hypothesis testing with the normal distribution and Student's t-distribution.Presented in simple, no-frills ppt format.

#### S2 - Chapter 2 - Poisson Distribution

Based on the Edexcel syllabus.

#### Statistics 2 AQA End of Topic Tests

These are 20 mark test sets for each topic within the Statistics 2 AQA Maths syllabus. Students write their solutions in the boxes provided. Any feedback would be very welcome. Enjoy!Em

#### Poisson Distribution Worksheet & Answers

Designed for WJEC Statistics 1. Covers using the formulae, statistical tables and the Poisson approximation for a Binomial.

#### S2 Poisson Distribution Edexcel

The following resource is a powerpoint slide containing main aspects of the S2 Poisson distrbution section.

#### Stats 2 - Poisson Distribution OCR

A little powerpoint talking through Poisson with some exam questions

#### S1 ALevel summary for CCEA

&quot;cheat sheet&quot; covering all S1 topics for CCEA ALevel. Use for revision classes/exercises as a guide or as a comfort blanket for a class test.