Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation uses the fact that 1729 is the smallest number that can be expressed as two cubes in two different ways to introduce the topic of Elliptic curves, which are used more and more in the field of number theory...

This activity requires students to calculate net income after tax and national insurance have been deducted. Students then are asked to discuss if the progressive taxation system is fair. Answers to each of the calculations are available.

The presentation shows how income tax and national insurance rates are...

Carom Maths provides this resource for teachers and students of A Level mathematics.

Ergodic maths is a fairly new branch of mathematics which concerns itself with repeated processes and some of the basic theorems are introduced here.

The activity is designed to explore aspects of the subject which...

The Nuffield Foundation provides this activity which uses examples in the context of shape and space to help students understand how big errors may be, and how errors accumulate when measurements are used in calculations. This is particularly important in scientific contexts. Students are required to find the upper...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, shines a light on the area of a circle, Pythagoras' Theorem and enlargement by asking students to consider what they can see when a torch is shone on a wall.

"A circle of light appears when you...

This lesson develops the concepts of estimating the lengths of everyday objects, and converting between decimal and scientific notation.

An introductory activity looks at converting between decimal and scientific notation.

The main activity involves a collaborative exercise centred around picture...

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

• Model a situation.
• Make sensible, realistic assumptions and estimates.
• Use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

This...

This resource begins with estimating by rounding to significant figures, then deals with estimations and predictions in real life scenarios. Fermi estimation is then introduced. The question ‘Is climate change happening?’ is also posed.

This lesson develops the concepts of:

• Finding perimeters, areas, and volumes using formulas.
• Finding relationships between perimeters, areas, and volumes of shapes after scaling.

There are three initial questions to consider that deal with:

• The perimeter of a circle...

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 is a concept development lesson that is designed to assess how well students understand the concepts of:

• Equally likely events
• Randomness
• Sample size

The central theme of the lesson is to address common misconceptions relating to probability. The main activity is to...

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...