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In this activity children practise using scales to weigh different items of packaging. They then calculate how many of each item could be made from an average tree. 

The resource, which provides an authentic context for maths learning has been proved by the IET, (Institution of Engineering and Technology)....

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

  • Interpret and use scale drawings
  • Use proportional reasoning
  • Work with metric units

The initial problem is to construct and conversion graph to convert between measurements in the...

This Core Maths task looks to introduce the Normal distribution and is a precursor to the Baby boom activity.

Due dates: Teacher guidance
This teacher guidance gives an overview of the task including prior student knowledge,...

In this resource linked to COP27 in Egypt, maths students apply pythagoras’ theorem to solving Egypt’s road building conundrum. The resource explores efficient road designs and the climate impacts of car travel then uses the context of reducing travel time for the most people, reducing the length of new roads and...

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 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.

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This resource focusses on understanding density and, through a series of practical tests, working out which materials are low and high density. In this activity learners will learn about the density of materials through testing. Learners will have an opportunity to weigh and work out the volume of an object. They...

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

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