This lesson develops the concept of Pythagoras’ theorem. In particular students will:

• Use the area of right triangles to deduce the areas of other shapes
• Use dissection methods for finding areas
• Organise an investigation to systematically collect data
• Deduce a generalizable...

This is a problem solving lesson, designed to help you assess how well students are able to:

• Select appropriate mathematics to solve a problem
• Compare and evaluate different methods for solving a problem and make generalizations about the appropriateness of different approaches
• ...

A substantial part of this Nuffield Advanced Mathematics option was about algorithms. Students used calculators, or computers with a structured programming language, to turn algorithms into programs. They were introduced to various aspects of discrete mathematics and,...

This collection of resources is produced by the Core Maths Support Programme to support the implementation of Core Maths. The collection contains a range of activities all designed to enable students to use and apply discrete mathematics in unfamiliar contexts.

This series of interactive excel sheets explore discrete random variables, in particular those of coins and dice.

The first sheet offers a reminder of Pascal’s Triangle.

In this activity, students are given a Venn diagram and asked to find eight different probability distributions, one for each of the eight regions in the Venn diagram. The notes give solutions for the regions that are possible.

This resource is part of the Making Stats Vital collection from Jonny Griffiths...

This exercise is designed to ensure that students know how to find the expected value, E(X), and the variance, Var(X) for a discrete random variable, and that the probabilities in a probability distribution always add to one. Students are given a selection of numbers and are challenged to establish those...

In this activity students examine how rolling a dice and doubling the score produces a different probability distribution from rolling two dice and adding the scores on the two die. This activity can be conducted experimentally, with the simulation on sheet two of the spreadsheet producing many trials with...

In this activity students are asked to investigate whether it is possible for a four-sided dice, with positive integer faces including odd numbers, to ever have expectation and variance the same. Sheet two carries a simulation with sheet three providing a search programme to find all possible solutions.

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This resource is from a collection of Nuffield Maths resources exploring Data Analysis. The demand is roughly equivalent to that in GCE A level. It includes slide shows to introduce the topics, student sheets and teacher notes, as well as other relevant resources.

In the ‘DISCUSS regression and correlation’...

This resource from SMILE Mathematics contains 18 activities for discussing data. Each activity includes information on the data, discussion guidance, specific questions, extension questions, possible hypothesis and a vocabulary check list.

The activities are split into six areas at three mathematical levels...

These supplementary materials for discussing data contain full colour versions of the graphs and diagrams for all the activities in the Discussing Data Activity Book. The graphs and diagrams are split into the six areas described in the book .

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Students may have learnt in science lessons about how infectious diseases spread, but may not have considered the dynamics of their spread, and how maths can be used for such analysis. As such, these resources from NRICH provide a cross-curricular activity set, and may be...

This lesson plan from CensusAtSchool is easy to put into practice in the classroom and is targeting the Year Six key objective of ‘Solve a problem by extracting and interpreting information presented in tables, graphs and charts.’

It involves the students in doing simple surveys and underlines the key...

This SMILE resource contains one pack of games, investigations, worksheets and practical activities supporting the teaching and learning of displaying data.

Displaying data contains fourteen work cards with a wide variety of activities covering drawing pie charts, drawing pictograms, using...