Get set for September 2017 Statistics - MEI

1 Get set for September 2017 Statistics Paul Chillingworth Nick Thorpe Session description In 2017 all students starting A level Mathematics will learn both Statistics and Mechanics which will account for a third of the qualification. In this session we will look at what the Statistics content will look like, the change of emphasis from the current S1 modules, and the connections which can be made while teaching a linear course. This session is one of a series of 4 which are designed to inform teachers of upcoming changes to A level.

2 It is therefore suitable to any teachers of A level and may be of particular interest to heads of department or KS5 coordinators. The resources accompanying this conference session will be suitable for using with departmental colleagues in order to help teams prepare for the changes. Session structure Slide 5-9 where is Statistics in A level Mathematics? Sides 10-17 Statistics content Slides 18-29 Use of technology Slides 30-41 Large data sets Slides 42-47 Linking Pure and Statistics Slide 48 Statistics in A level Further Mathematics Slides 49-52 Further support Slide 53 Download Get Set resources Slide 54 About MEI The main change Every student will be expected to study Statistics (and Mechanics) as part of AS/A level Mathematics.

3 The amount of Statistics is 16 of the content. How will that affect the teaching of AS/A level Mathematics in your department? Structure of A Level Examinations All boards have three 2 hour exams at the end. Model A Applied paper - separate paper for Statistics (and Mechanics) topics. Model B Statistics questions occur at the end of a pure paper (in a separate section, half the marks). Model C Statistics questions occur on a combined pure and Statistics paper. Structure of A Level Examinations All boards have three 2 hour exams at the end.

4 Model A Edexcel Applied paper - separate paper for Statistics (and Mechanics) topics. Model B AQA and OCR Statistics questions occur at the end of a pure paper (in a separate section, half the marks). Model C MEI Statistics questions occur on a combined pure and Statistics paper. A level Mathematics OCR Length Marks Pure 120 100 Pure+Stats 120 100 Pure+Mech 120 100 TOTAL 360 300 MEI Length Marks Pure+Mech 120 100 Pure+Stats 120 100 Pure+Comp 120 75 TOTAL 360 275 Edexcel Length Marks Pure I 120 100 Pure II 120 100 Stats+Mech 120 100 TOTAL 360 300 AQA Length Marks Pure 120 100 Pure+Mech 120 100 Pure+Stats 120 100 TOTAL 360 300 AS Mathematics OCR AS Length Marks Pure+Stats 90 75 Pure+Mech 90 75 TOTAL 180 150 MEI AS Length Marks Pure+Mech 90 70 Pure+Stats 90 70 TOTAL 180

5 140 Edexcel AS Length Marks Pure 120 100 Mech+Stats 60 50 TOTAL 180 100 AQA AS Length Marks Pure+Mech 90 80 Pure+Stats 90 80 TOTAL 180 160 Content The content has been decided by the DfE There is still room for slight differences between boards depending on interpretation of this document, variance of binomial distribution, rank correlation. Content overview Handling and representing Data Correlation & Regression Probability I (independent events) Binomial distribution Binomial hypothesis testing Probability II (conditional probabilities) Normal Hypothesis Tests for Normal and Correlation AQA S1 vs 2017 Same: Handling and representing Data Probability Binomial distribution Normal distribution Correlation & Regression New: Hypothesis tests for Binomial, Normal, Correlation What s going.

6 Estimation Confidence Intervals and CLT Edexcel S1 vs 2017 Same: Handling and representing Data Probability Normal distribution Correlation & Regression New: Binomial distribution Hypothesis tests for Binomial, Normal, Correlation What s going: discrete random Variables Uniform Distribution MEI S1 vs 2017 Same: Handling and representing Data Probability Binomial distribution + Hypothesis tests Normal distribution New: Correlation & Regression Hypothesis tests for Normal, Correlation What s going: discrete random Variables OCR S1 vs 2017 Same: Handling and representing Data Probability Binomial distribution Correlation & Regression New: Normal distribution Hypothesis tests for Binomial, Normal, Correlation What s going: Permutations and Combinations discrete random variables & Geometric distribution Standard Deviation in 2017 1 or ?

7 Standard Deviation in 2017 1 or ? AQA(?) Edexcel* MEI OCR * 1 will be condoned Calculators used must include the following features: an iterative function the ability to compute summary Statistics and access probabilities from standard statistical distributions the ability to perform calculations with matrices up to at least order 3 x 3 (FM only) Use of technology Calculators The use of technology, in particular mathematical and statistical graphing tools and spreadsheets, must permeate the study of AS and A level mathematics Large data sets will require good practical use of technology.

8 Students must have had the opportunity to work on and become familiar with one or more LDS before the assessment. Use of technology Which spreadsheet? Graphing: Geogebra, Autograph, Desmos Probability Distributions: Geogebra, Autograph, GDC Use of technology Sorting, filtering, cleansing, working out summary Statistics and plotting graphs. Excel Geogebra Average monthly petrol (blue) and diesel (yellow) prices in 2015 Autograph Desmos Standard Calculator Graphical Calculator Spreadsheet Geogebra Autograph Desmos random sampling from a dataset Constructing histograms and box plots Drawing scattergraphs and regression lines Calculating summary Statistics Cleaning data.

9 Identifying outliers discrete probability distrbutions The Binomial Distribution The Normal Distribution Hypothesis Testing Which technologies might you use in teaching the following concepts? Standard Calculator Graphical Calculator Spreadsheet Geogebra Autograph Desmos random sampling from a dataset Constructing histograms and box plots Drawing scattergraphs and regression lines Calculating summary Statistics Cleaning data.

10 Identifying outliers discrete probability distrbutions The Binomial Distribution The Normal Distribution Hypothesis Testing Which technologies might you use in teaching the following concepts? Formula book or formula sheet? Model A Formula sheet given at the beginning of each paper. Model B Separate formula booklet including some statistical tables. Formula book or formula sheet? Model A MEI, OCR Formula sheet given at the beginning of each paper.