This task introduces Spearman’s coefficient of ranked correlation, as a tool to solve the problem of making quantitative comparisons between pairs of rankings.
This task can be used to revise and extend concepts of probability from GCSE.
This is a revision exercise aimed at practising the skills of calculating different measures of location and dispersion. It allows students to practise the calculations and to explain the meaning of what they have calculated.
This resource provides a series of questions that allow students to practise the use of the Normal Distribution in solving problems.
Psychology courses have significant mathematical and statistical content.
Exploring the difference between linear and exponential sequences and their sums.
This is Number & Measures
Learning to appreciate the cost of credit and the implications of choosing to use credit.
In this first project students are to manage their new phone company with the launch of their new phone, Mokia-0.
This activity reviews some of the key points to be considered when designing an effective questionnaire.
This is a simple activity that asks students to review and summarise the key features, advantages and disadvantages of various sampling methods.
This task consists of a PowerPoint presentation that can be used to explain and review the distinctions between different types of data.
End of year assessments for use with BTEC Science students (OCR/MEI).
End of year assessments for use with BTEC Business students (AQA).
This resource provides a series of questions to review and assess students’ understanding of percentage calculations.
This is a short assessment task on the use of percentages in a range of financial contexts.
In this first project students are to manage their new phone company with the launch of their new phone, Mokia-0. They will have to use a variety of maths skills in order to do this.
This is gentle reminder about some of the basic ideas in probability theory and serves as a starting point for the Probability Starter Pack.
Introduction to coding: What makes up a bar code?
Recap on percentage increase and decrease: individually, in combination and in reverse.
Modelling the level of a prescribed drug within a patient.
Introduction to the mathematics and risks of gambling: How to calculate odds and the probability of winning/losing in a casino.
This is a research task involving calculation, estimation and online research.
Estimation and calculation of length, weight, area, volume and surface area of solids and compound solids.
Economics is based on the study of the factors that influence income, wealth and well-being. It is a social science that incorporates mathematics and statistics at its heart.
Business Studies is based on decision making and problem solving, using qualitative and quantitative methods.
Chemistry makes extensive use of mathematical models, visualisations and calculations.
Examining real-life data, identifying skew and investigating the relationship between mean, median and mode for distributions with varying skew.
Using a mathematical model for a practical task and understanding that being 'fair' is not a precise concept.
This task provides an opportunity for students to create some questions based on a stimulus, to decide what information they need to gather to help them answer the questions, and then to work out the answers.
This lesson focusses on the use of cumulative frequency diagrams and box plots.
This lesson focusses on statistical correlation.
This lesson focusses on the use of the standard deviation as a measure of spread, and the identification of statistical outliers.
This lesson focusses on the use of statistical diagrams and summary data
This lesson explores various methods of sampling, and uses these to selct countries for further analysis.
This lesson introduces the Demographic Transition Model for population change, and explores it using statistical calculations and graphs.
Introduction to the Normal Distribution
Students analyse real-world examples of scams to work out why the schemes are fraudulent.
Students are given a large dataset and have to investigate whether particular sets of data are related. Students should present their findings in the form of a report/presentation.
This activity is based on the idea of finding the best songs ever.
This is a pre-cursor to the Baby boom task and an initial introduction to the Normal distribution.
This is linked to the Baby boom task and a development of it to standardising Normal distributions.
This is a precursor to the linked tasks of Due date, Baby boom and Chicken and egg, on the Normal distribution.
This activity considers measures of correlation and introduces Spearman's Rank Correlation Coefficient.
Analysing trends in data using moving averages.
This is a critical analysis activity using data from the Eurovision Song Contest 2015.
Calculation and interpretation of Pearson’s product moment correlation coefficient as well as knowledge of the vocabulary associated with bivariate data.
This task uses statistics to assess whether the UN millennium goal (set in 2000) to reduce the under-five child mortality rate by two-thirds by the year 2015 has been realised.
This task introduces students to the use of histograms to display sets of grouped data with unequal class intervals.
This is an extended assignment that was designed to be completed over a half-term break and then assessed.
In this task students use statistical techniques to evaluate a number of Public Health initiatives, using the notion of a ‘microlife’ – a measure of the impact on an individual’s expected lifespan of various lifestyle choices.
In this task students construct line graphs for time series data, calculate the moving average and interpret the graph, stating conclusions.
This is an introductory activity on understanding the shape of a Normal distribution curve.
Students are introduced to the Stroop Effect (see this Wikipedia article for an introduction). They are then asked to design and conduct an experiment to test the effect.
This is a data-handling task for learners to work on in small groups (possibly in threes?) to perform a statistical investigation based on the question: ‘Does the height of a tennis player affect the top speed of their service?’
This task will help students understand how standardisation can be used to make comparisons.
This is a worksheet that assesses students’ understanding of basic statistical ideas.
This is a worksheet that assesses students’ understanding of basic statistical ideas.
Introduction to Fermi estimation: Revision of significant figures and estimation by rounding, before considering and predictions in real life scenarios.
This activity is based on predicting probabilities and experimenting to see if the theoretical model fits the observed data.
This activity is based on using very special dice that seem to contradict common sense.
The task involves completing a triangle taste test, involving a standard and healthy option of various foods/drinks, and then using a hypothesis test to test the significance of the result.
Modelling the spread of disease and the success rate of immunisation is vital for disease control.
This is a card-sorting activity to generate discussion about exponential graphs.
Introduction to APR: The interest charge that is involved when we borrow money; how to calculate interest for whole and fractional year length terms and reasons why people want to borrow money.
Introduction simple and compound interest (opportunity to use spreadsheets to genereate answers by using appropriate algebraic formulae).
Introduction to exponential growth and opportunity for critical evaluation.
This activity is based on a wind chill model for determining the effective temperature at low temperatures and high winds.
This is an optimisation problem from Greek mythology that has an intuitive solution but is rather more difficult to prove.
This is an extensive resource based on the spread of the Ebola disease; it uses a range of statistical techniques to analysis the data and to make predictions.
Investigation into assessments of physical fitness.
This resource looks at the recently developed technique of rehydroxylation for dating ceramic objects using an exponential growth model.
Students present data and then analyse it in order to draw conclusions and make predictions. They can then assess the validity of their conclusions.
This task acts as a simple introduction to Gantt charts through an example that analyses the manufacture of bespoke dolls’ houses.
Learning to make decisions about investments by assessing possible risks and rewards.
Exploring the costs associated with studying at university.
This is an open-ended business simulation task, involving calculation, money and estimation.
This introduces where UK tax is spent and income tax rates.
This has the potential to be a big project, involving budgeting for an adventurous holiday or gap year; and dealing with foreign exchange rates along the way.
Analysing Braille and calculating the number of different patterns that exist using a 3 x 2 design.
Introduction to exponential growth and decay: Compound interest for savings and depreciation of assets.
Researching data, making estimations and performing calculations to determine the reasonableness of a prediction.
Investigating the use (and abuse) of percentages in research and media.
Consolidation and practice of basic addition and multiplication of pairs of numbers from 1 to 10.
Problems involving Fermi estimation.
Introduction to Fermi Estimation.
Develops students’ ability to recognise and explain some of the reasons for incorrectly assuming causation, and identify where further information is required before a decision can be reached.
Introduction to the stock market: Students calculate the new prices for a variety of fictional shares based on daily percentage changes.
Producing a quote: Students produce a quote for building a garden by calculating the cost of materials and producing a precedence table and activity network to schedule the work.
This resource introduces Fermi estimation, and suggests three scenarios to explore.
This project includes: 1. A short guide to Microsoft Excel, incorporating activities to explore. 2. Exploring climate data using Microsoft Excel.
This task involves working with BMI and making decisions based on BMI, which is calculated using a given formula.
This task involves estimating a person’s surface area – from having a guess, to using practical resources and then using formulae.
This simple resource consists of a series of pictures that can be used as a starting point to generate Fermi estimation questions.
Students are asked to apply their knowledge of Upper and Lower Bounds to the test by designing a car park.
This is a problem-solving task involving large sums of money, based on a true story.
This task considers the financial implications involved with buying or building your own home and includes mortgages; interest rates; income tax; national insurance; scheduling; Gantt diagrams and estimation.
These are modelling tasks: To design a muesli and compare the costs with bought muesli (Paola’s muesli) To design a ‘Banana and Milk’ diet
Use data from the ‘What do graduates do?’ survey (http://www.hecsu.ac.uk/assets/assets/documents/WDGD_Sept_2013.pdf) to complete a two-way table and draw conclusions.
Students work in pairs to identify the force on the foundations of twelve iconic buildings.
This task involves investigating various aspects of interest and depreciation, including compound interest and the effects of compounding over different numbers of periods (for example annually, monthly or weekly).
Students compare and analyse the flight distances (and/or times) of various designs of paper plane.
This task involves using a spreadsheet to analyse mortgage repayments.
Students are presented with a calculation ‘trick’ – a method for working out the squares of two-digit numbers.
This is an optimisation task involving finding the cylinder with the smallest surface area that has a capacity of 330 ml.
Students research required data, make estimates and perform calculations to come up with a realistic quote that a removal company may give to a client in the given scenario.
This is a reasonably open-ended task about designing a snowman.
Students apply their understanding of surface areas and volumes of cuboids to cells.
This is an open-ended task involving calculation, measures and estimation.
Students need to be systematic in finding dates of birth where the square of the year (the last two digits) gives the day and the month, e.g. 26/01/51, because 51^2=2601.
Having recapped Pythagoras’ Theorem, students apply this to a real-life situation – how many steps there are on a London Underground escalator.
This real-life scenario uses business information to make decisions.
This is an introduction to the use of spreadsheets by looking at how countries are ranked at the Olympic Games
This is a revision activity to remind students how to calculate and interpret different measures of location and dispersion.
This is a matching task to remind students about the definitions of different measures of location and dispersion.
This activity is based on finding the cheapest train tickets for journeys with stopping stations, where one ticket can be replaced by split tickets (using the stopping points).
This is a simple modelling task which can be used early in the course to demonstrate how students’ existing mathematical knowledge can be used to solve an optimisation problem.
The handout describes how the Luhn algorithm is used to provide a check digit that helps to indicate accidental errors made when inputting credit (or debit) card numbers.
Many of the subjects studied in Colleges and Sixth Forms rely on sound mathematical skills and knowledge. This often involves knowing how to apply simple but powerful mathematical ideas in practical settings.
The study of Computer Science requires many of the thinking skills also associated with the study of Mathematics.
Biology has been revolutionised by developments in computation and statistical analysis.