Nuffield Mathematics teaching resources are for use in secondary and further education

# Note: AQA have decided to discontinue this FSMQ. The last exam will be in the June 2018 series, with a final re-sit opportunity in 2019.

Before starting this Advanced (Level 3) FSMQ students should have acquired the skills and knowledge associated with the Statistics assessment objective of GCSE Mathematics or with an Intermediate (Level 2) FSMQ in Data, or equivalent.

A suggested work scheme showing topic areas and methods to be covered is given below.  The order and time allocations can be varied to suit different groups of students.

Note that the Nuffield assignments below will not contribute to the AQA assessment of this FSMQ which is by examination only. Many of the resources below were written for the legacy FSMQ ‘Using and applying statistics’. The content of this AQA pilot FSMQ ‘Hypothesis testing’ is very different. Although the data included in these resources may be useful, you will need to adapt the activities to match the content of this FSMQ. You should disregard any information about portfolio work.

 Topic area Content Nuffield resources  The links below go to pages from which you can download the resources, some recently revised. Most were originally written for earlier FSMQs and are likely to need adapting for use with this unit. Probability laws (6 hours) Revise basic probability methods. Multiplication law for probabilities of independent events Addition law for probabilities of exclusive events Tree diagrams (for independent events only). Probability   Presentation illustrating basic methods and examples for learners to try. Sports injuries    Discuss the use of real data (gives age and gender, also included on spreadsheet.) Laws of probability   Presentation, hand-out and examples for learners to try. Binomial distribution (6 hours) The use of discrete theoretical probability distributions to model populations. Binomial probabilities using notation $\begin{pmatrix}&space;n&space;\\&space;r&space;\end{pmatrix}&space;p^rq^n^-^r$ Histograms    Instructions explaining how to construct an accurate histogram and frequency polygon in Excel. The normal distribution (10 hours) The use of continuous theoretical probability distributions to model populations. Features of a normal distribution, including: · continuous data · symmetry · approximately two-thirds of the distribution lying within one standard deviation of the mean · approximately 95% of the distribution lying within two standard deviations of the mean The standard normal distribution with mean 0 and standard deviation 1. Use of tables to find probabilities and expected frequencies. Use of tables in reverse calculations. Normal approximation to the Binomial Distribution. Stature   Data sheet gives the heights of samples of men and women from 8 countries. Student worksheet leads to main features of samples from normal distributions. Optional use of spreadsheet. Pulse rates    Experiment to find the effect of exercise on pulse rates.  Spreadsheet gives results from such an experiment carried out over a number of years by Dr Richard Wilson at the University of Queensland. Casio calculators       Instructions for using a Casio fx83WA or fx85WA to find the mean and standard deviation. Graphic calculators     Presentation introducing students to the Casio fx-7400G PLUS calculator.