# Advanced statistics teaching resources: Normal distribution

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

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#### Hypothesis Test for a Population Mean - Analogy to a Criminal Trial

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 workbook1. A summary of the 5 stages of hypothesis testing2. A detailed analogy to a criminal trial3. One worked example4. Space for students to complete their own examples.5. Worksheets on:a. the null and alternative hypothesisb. type I and type II errorsc. checking assumptionsd. sampling distributionse. the normal distributionf. the t-distributiong. interpreting p-valuesAnswers for worksheets provided in separate document. The preview file shows a selection of pages from the workbook.
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#### Decoding Bundle 200 Worksheets Verbal Reasoning

A bundle of worksheets.200 worksheets on decoding,Plus some great ones on Pythagoras.I have designed 200 worksheets on decoding numbers for the 11+ non verbal reasoning questions. There are 200 worksheets provided on a cd. Decoding is an important aspect of the 11+ exams. Ideal for parents, pupils and tutors. Answer sheets provided. The Decoding worksheet helps to reinforce spelling and problem solving skills for students. The letters of each word are replaced with other letters or numbers based on a pattern.

#### Standard Deviation Worksheet

8 questions on standard deviation. The first two questions include the table for ease. The last question is a comparison between standard deviation and the mean.

#### 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: Complete (S1) Bundle - designed for Edexcel, but suitable for all S1 courses

Designed to teach all the main aspects of the S1 statistics course. Designed for the Edexcel syllabus, but suitable for all different S1 syllabus's. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Probability distributions, IBSL

Presentations for IB Standard level Mathematics covering the following objectives:Concept of discrete random variables and their probability distributions.Expected value for dicrete data.Binomial distribution and its mean and variance.Normal distribution, Standardization of normal variables, and inverse normal calculations

#### Inverse normal distribution IBSL

Power Point presentation, 15 slides, Explaining how to find the value in a data that has a given cumulative probability, also to find either the mean or the standard deviation given cumulative probabilities, based on IB Mathematical Standard level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlVGFCUFJPNVpfc28/view?usp=sharing
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#### 11+ Verbal Reasoning Decoding Vol 2 Maths KS2

This is volume 2.I have designed 100 worksheets on decoding numbers for the 11+ non verbal reasoning questions. There are 100 worksheets provided on a cd. Decoding is an important aspect of the 11+ exams. Ideal for parents, pupils and tutors. Answer sheets provided. The Decoding worksheet helps to reinforce spelling and problem solving skills for students. The letters of each word are replaced with other letters or numbers based on a pattern. Students must translate the words and spell them correctly. You can see an answer sheet in my picture with the answers in red.

#### The Normal distribution - Standard Level IB

Power Point presentation, 27 slides, Explaining what normal distribution is and how to use the standard normal distribution and other normal distributions to calculate probabilities, Using the GDC to calculate probabilities of Normal distribution, based on IB Standard Level Mathematics Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlZGNFT1JidWxBOTg/view?usp=sharing

#### International Baccalaureate Standard Level bundle

All my published IB Standard Level resources including full revision package at a discounted price.

#### Central Limit Theorem and Confidence Intervals

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 size2. Teacher uses powerpoint to plot students results and discusses results3. 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.

#### AQA Statistics 1 on a page

Revision sheet for AQA Statistics 3. Could be printed out A4 to use as a revision aide-memiore or A3 to use as a poster.

#### Statistics activity: Statistical terms and Describing data

An introduction to statistics for A-level biologists. Takes the student through terms and symbols used, then puts them through several instructions on Microsoft Excel. After this students should be able to describe their data (range, median, standard deviation, etc) but this does not extend to choosing an appropriate statistical test. Takes nearly two hours with plenty of talk around the subject and examples. I recommend you try the exercise beforehand.

#### Normal Distribution

A 15 page presentation that introduces normal distribution by starting with histograms. The presentation shows learners how to use the standardised normal distribution tables to find percentages and z values. On the presentation you can move certain parts, like the stats tables, to reveal answers underneath.Also included is a histogram powerpoint activity that gets the learners to find areas between 1 and 2 standard deviations about 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.

#### Use Data to Draw Inferences - 7.SP.2

Collect and utilize multiple samples of data to make generalizations about a population. Attention should be paid to variations in the samples Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included.Objectives:- Make inferences based on of multiple random samples- Answer questions regarding populations and sampling- Determine total population based on samples- Make predictions regarding total populations- Describe a model for sampling dependent on populationIncludes 6 practice pages and answer keys.Aligned with NCCS Math - 7.SP.2Visit commoncoremath.net for additional help.

#### Analyze and Compare Data Sets - 7.SP.3

Identify data landmarks such as mean, median, M.A.D. and interquartile range using a variety of data sets. Make informal comparison of data sets focusing on variability and overlap. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included.Objectives:- Identify data landmarks in a variety of data sets- Measure variability within and across data sets- Recognize variability across two data sets- Understand median is related to interquartile range and mean with M.A.D. Includes 6 practice pages and answer keys.Aligned with NCCS Math - 7.SP.2Visit commoncoremath.net for additional help.

#### Normal probability calculations using GDC.

Power Point presentation, 19 slides, Explaining how to use the GDC to calculate probabilities from normal distributions, based on IB Mathematical Studies Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlZEo4U2pDQlNEWE0/view?usp=sharing

#### The normal distribution

Power Point presentation, 18 slides, Explaining what normal distribution is and how to use it to calculate probabilities, based on IB Mathematical Studies Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlYlhrMWplcnFVMTA/view?usp=sharing

#### Inverse Normal calculations

Power Point presentation, 28 slides, Explaining how to use the GDC if you are given the percentage area under the curve, i.e. the probability or the proportion, and you are asked to find the value corresponding to it, from normal distributions, based on IB Mathematical Studies Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlR01ob2hENDIzX2s/view?usp=sharing

#### Statistics: (S1) Normal Distribution (2 lessons)

This presentation contains 2 or 3 whole lessons, depending on the amount of time you have per lesson for A-Level! Specifically this lesson is for teaching ... what is the normal distribution is, the criteria for using it, understanding where the formula comes from to standardze and ultimately be to answer different types of questions based on the normal distributon. Both PPTs include about 20 slides, with plenty of visual helps, examples etc... I have used the PowerPoint slides to structure the lesson and have found both these PPT's to be a very effective way of getting ALL pupils to understand the normal distribution and feel confident in using the formula to standardize and for ALL types of questions that they may have to face. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback on any purchases, thanks.

#### Socrative quiz codes mainly for a level

For those of you who use socrative.(Outstanding lesson all the time!)Codes are on the document for the following topicsNormal distribution S1 Sequences and series for C1/C2 Indices for c1/c2/A*gcse Factorising for gcse/weak c1 Differentiation for C1 Expanding brackets/collecting like term.Explanations given for all questions to students on the quizzes

#### 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.

#### The ultimate Mathematics International Baccalaureate Standard Level Revision Pack

I have split the entire course into 10 lessons (content includes much more!). Each lesson includes a bank of exam questions related to the topics with answers; a PowerPoint; Extra questions; and a 20 minute test. The tests are written from the &quot;Extra questions&quot; so be aware if you are using the &quot;Extra Questions&quot; in class. Easily more than 10 lessons worth but use it as you choose. I revised one lesson, tested (and peer marked) the next lesson and began the revision for the following section. *** 100s of exam questions ****** 10 revision lesson PowerPoints ****** 10 mini tests ***

#### Statistics: Normal distribution as an approximation for the binomial distribution PPT

This presentation contains 1 or 2 whole lessons, depending on the amount of time you have per lesson for A-Level! Specifically this lesson is for teaching ... what is the binomial distribution and normal distribution and how and when to use the normal distribution as an approximation for a binomial 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.

#### Statistics - Normal approximation

Worksheet with questions on the normal approximation to the binomial

#### 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

#### Normal Distribution - International Baccalaureate Standard Level

A Powerpoint running through the final chapter of the IB. All activities and exercises are integrated into the Powerpoint.

#### 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.

#### Team Revision Tasks - Statistics 1 (Edexcel)

These are an attempt to break from the monotony of past papers in the run up to exam season. I have taken 2 questions from past papers and put them on one sheet; I will photocopy onto A3 for students to have a go in groups and discuss. The aims/rules etc are all listed if you wish to follow them and hopefully they all make sense. I have also provided answers.