This DfE Standards Unit resource enables students to develop their understanding of the laws of logarithms, practise using the laws of logarithms to simplify numerical expressions involving logarithms and apply their knowledge of the laws of logarithms to expressions involving variables. Students should have some...

In this Core Maths resource students examine real-life data, identify skew, and investigate the relationship between mean, median and mode for distributions with varying skew.

Skew in Histograms: Teacher guidance
This teacher guidance gives an overview of the task including prior...

The task is to consider the process of making estimates to use in calculations before moving to the specific task of estimating the total surface area (i.e. skin area) of a volunteer. This is a readily accessible task, with students only needing basic measurement and...

In this Core Maths resource students are given the open-ended task of designing a snowman. Students are given some basic information about the density of different types of snow and some relevant formulae, and are asked to design a ‘life-sized’ snowman and give a full mathematical description of it.

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In this resource, from the Department for Education Standards Unit, students will learn to understand how Newton’s second law can be applied to a range of different problems. It will encourage learners to link the stages of solutions together and appreciate the purpose and relevance of each stage of a solution....

Volume two of two publications produced by the Spode Group with the aim of providing a useful set of examples that are convincing applications of mathematics and applications which can be taught in schools.

This...

This resource, written by Emma Morris, outlines the core choices facing mathematics education and builds on the recommendations of the 2011 Vorderman Report, by examining which mathematics approaches and reforms have worked overseas. The paper does not recommend directly importing practice from either of the case...

Three activities produced by Susan Wall are designed to provide the opportunity for students to explore the concepts involved and to highlight any misconceptions by discussing whether the statements presented can sometimes be true, are always true or can never be true.

Algebra: students are...

This resource, published at a time when teachers had become aware of the tremendous need for motivational topics in mathematics, gives students an appreciation of, and insight into, mathematics and helps adopt an experimental attitude to the teaching and learning of the...

This outreach programme aimed to build upon good practice from the Royal Society of Chemistry's (RSC) project Chemistry for our Future, and to develop new activities which could then be used with the RSC’s Spectroscopy in a Suitcase (SIAS) equipment. It explored appropriate contexts which may appeal to students...

This Core Maths activity is based on finding the cheapest train tickets for journeys with stopping stations, where one ticket can be replaced by split tickets. It involves arithmetic and problem solving skills.

The activity sheet shows the cost of tickets between Exeter and Birmingham and four stations in...

This Core Maths resource enables students to explore various models of the spread of disease. 

The presentation has links to instructions for three activities:

• a practical investigation using a die and counters to model...

Discover the approach to Core Maths taken by the lead Core Maths teacher at St. Marylebone Church of England School. More than GCSE maths, the school recognises that the course provides a valuable opportunity for students to see how mathematics can be used in their future studies or careers, stating:

‘...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how modelling helps decision making by allowing us to see what is likely to happen. The mathematical ideas covered are:
• Modelling cycle
• Binomial...

This CensusAtSchool resource is based on key concepts needed by students doing GCSE mathematics, although it may be useful for an introductory review at A level or for strong Key Stage Three students. Pairs are asked to discuss statements on cards and decide, with...