This lesson develops the concepts of length and area. Particular attention is given to proving why two areas are or are not equal.

The lesson begins with three questions regarding area that students must classify as ‘sometimes, always, or never true’. An example is ‘if you join the midpoints of the opposite...

This resource develops the concept of substitution of integers, fractions, decimals, and directed numbers into inequality statements in order to test their validity. Students also represent inequalities algebraically and in words.

An initial question that students work on is representing the statement

This lesson develops concepts relating to radicals. In particular, students will enhance their understanding of:

• Use the properties of exponents, including rational exponents and manipulate algebraic statements involving radicals.
• Discriminate between equations and identities.
  In this...

This lesson develops the concept of reasoning about the properties of rational and irrational numbers. In particular, students will enhance their understanding of:

• Finding irrational and rational numbers to exemplify general statements.
• Reasoning with properties of rational and irrational...

This lesson develops the concept of reasoning about the properties of rational and irrational numbers. In particular, students will enhance their understanding of:

• Finding irrational and rational numbers to exemplify general statements.
• Reasoning with properties of rational and irrational...

This resource requires problem solving using skills in forming and factorising expressions.

Students investigate the sum of four consecutive numbers. Initially this is done using numerical examples. There are a series of statements for students to classify as ‘sometimes true’, ‘always true’, or ‘never true...

This package of Core Maths resources introduce students to exponential growth and decay by exploring exponential functions, compound interest for savings and depreciation of assets.

Exponential Growth and Decay: Teacher Guidance

This teacher guidance contains information including...

This Core Maths resource package involves students completing a financially-themed project. Students are given the task of promoting, manufacturing and delivering a new mobile phone for the best possible price. Students complete annual reports on monthly income and expenditure, explore interest rates, exchange...

This lesson develops the concept of area of a circle. In particular students will:

• Sketch and construct loci involving arcs of circles
• Calculate the area of a circle, given its radius
• Calculate the radius of a circle, given its area

The opening question is about a goat...

This lesson develops the concept of ‘Greatest Common Factor’ (GCF) and ‘Least Common Multiple’ (LCM). The central theme is to separate out the two concepts.

There is an introductory ‘guess my numbers’ activity. The GCF and LCM of a pair of numbers is given and students must work out what the numbers are,...

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...

Students work in teams to design and make a prototype device that can design and make a prototype of a simple device (to be sold in stores like B&Q) that will allow homeowners to remove water from their house during periods of flooding.

In this challenge the device will have to move 100ml of water from...

This is one of a series of resources from the IET designed around the theme of the future of flight with the purpose of developing pupils knowledge and skills in science, design technology, engineering and mathematics. 

In this activity pupils calculate the amount of energy needed to launch a space...

In this activity, students investigate what is meant by fuel poverty. This could be used as a starter activity in mathematics or design and technology, with a focus on economic reasons for the development of sustainable power sources. Using the slides as stimulus...

In this activity, students interpret graphs to identify trends and the people who are affected by this fuel poverty. Learning outcomes include:

*To understand that mathematics is used as a tool in a wide range of...