The mathematical solution explains how to find the minimum value and sketch the curve of y = 4x² + 12x + 10. The first method uses calculus, differentiating the function and equating the differential to zero. The resulting equation is solved to find the x value of the minimum point. This value is then...

This resource from Ofsted is a full report and summary of the findings from a visit, in September 2009, made by two of Her Majesty's Inspectors to educational establishments in Finland. Evidence was gathered from three schools and a university from each of three towns about the factors that contributed to Finnish...

'First mental arithmetic' provides rich and...

This Bowland assessment task requires students to plan when they should start preparing a meal in order to have it ready by a stated time. Students are given a number of job cards. Each card explains what needs to be done, how long the job will take and a condition as to when the job should be completed. Students...

In this Core Maths activity students are asked to play a ‘ladder game’ in order to improve decision making and explore probability theory.

Fitting Numbers: Overview
This teacher guidance contains a range of information including prior student knowledge, suggested approaches and possible...

The Nuffield Foundation provide this resource for students to collect data and then use statistical methods to analyse the results. The activities require that students investigate the extent to which people follow the advice from the Department of Health, which recommends that everyone eats at least five portions...

Countries charge for planes to fly through their airspace even if the plane does not land. Different countries levy different charges, therefore plane companies consider a number of different routes and calculate the associated charges with each route. The formula used to fly over Europe is considered and an...

This small-scale qualitative study was published in 2015 and undertaken by the National...

Students begin by making a 'Digit Flipper'. There are three versions in the resource plus blanks to make others. The teacher notes then explain how the 'gadget' can be used in lessons.

The 'Digit Flipper' can be manipulated to show different numbers. Teachers can ask students to make the largest possible...

Six shapes are presented in different 3D orientations. The task is to find which of the shapes is identical.