This resource develops the concept of solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring.

The resource is set in the practical context of a bus cutting a corner that has a cycle lane. When a bus turns a corner, it must swing out so that its...

This resource looks at the concept of recognising the differences between equations and identities. Students substitute numbers into algebraic statements in order to test their validity. Common errors are highlighted that can occur when manipulating expressions.

Students work on an exercise that involves...

There’s sound and music all around us! This programme has pupils exploring the science of music and sound, creating music and instruments with a range of found objects, and even finding music in unlikely places.

The activities are introduced with a quick objective and a preparation guide. Individuals or...

This task is designed to assess how well students understand applying Pythagoras’ theorem to finding the gradient of a slope.

The task looks at points plotted on a set of axes. The points are joined to make a quadrilateral. The first task is to calculate the length and slope of each side. Students must then...

This report, jointly published by the School Curriculum and Assessment Authority (SCAA) and Ofsted under the chairmanship of Ron Dearing, presents the findings of an investigation into whether standards in GCSE and A level examinations were maintained in the period up to 1995. The improving examination grades...

This introductory book in the Algebra / Shape and Space series from Spectrum Maths was primarily for those students working at National Curriculum levels one to three. It contains forty activities. Each activity is presented as a possible starting point for a lesson or series of lessons. Twenty focus on algebra and...

This task is designed to assess how well students understand:

• Calculating the mean from a frequency table
• Working out the mode from a frequency table
• Using statistical measures to justify a statement

The task looks at salaries in a small company. Information on salaries...

This task is designed to assess how well students understand percentage calculations and special offers.

The task shows three T-shirts with different prices. A special offer states that all three may be purchased together for a discounted price. There are various tasks to complete, including calculating the...

This task is designed to assess how well students understand calculations in a practical context.

The task is set in the context of organising a trip for 75 people, where two types of taxi are available:
A small taxi costs $40 for the trip and holds up to 4 people.
A large taxi costs $63 for the...

This task assesses understanding of graphs and box plots.

A graph is given that shows the highest average temperature for each month in California and Washington. The task is to say what is the same about the graphs, and what is different. A subsequent task is to select correct box plots for California and...

This report contains eighteen recommendations relating to the importance of the teaching of statistics in the English education system. There are four recommendations under the heading of Statistics in our national life; five recommendation under the heading of Statistics in the School Curriculum; three...

This report, published in October 2013, highlights the findings of a Welcome Trust study which sought to find a better understanding of how primary schools in England lead, manage and teach science and maths. The study uses three main sources of evidence: an online quantitative survey of 209 schools; a set of...

This task is designed to assess how well students understand various aspects of the number system.

There are a series of short tasks on using a calculator, working with fractions, directed numbers, and extending a multiplication fact.

As an example:

12345679 x 27 = 333 333 333

and...

In this Core Maths activity students are invited to explore a range of casino based games to understand the probability, and likelihood of winning, when gambling.

The secret of winning: Teacher Guide
This teacher guidance introduces the reasoning behind the task, features of the...