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

This activity explores an example of the Descent method. This method was popularised by the famous mathematician Pierre de Fermat...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore the differential function of a polynomial and conclude by forming a generalisation.

An instruction page explains to students that they should draw a polynomial. Then by sliding the slider the...

Dijkstra's algorithm finds the shortest path for a given problem. Dijkstra's algorithm can be used to find the shortest route between two cities. This algorithm is so powerful that it not only finds the shortest path from a chosen source to a given destination, it also finds all of the shortest paths from the...

This exercise is designed to ensure that students know how to find the expected value, E(X), and the variance, Var(X) for a discrete random variable, and that the probabilities in a probability distribution always add to one. Students are given a selection of numbers and are challenged to establish those...

In this activity students consider a population growth problem which leads to a power series. The presentation can be used to introduce the topic and use of spreadsheets would enable students to model and draw graphs of the situation.

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,...

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...

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 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...

The worldwide statistics PowerPoint begins with a quiz regarding facts about the nations of the world. Students explore the data on the World figures spreadsheet to find the answers to the questions posed in the quiz. The presentation concludes by providing the answers to the questions and giving examples of...

This Core Maths card-sorting activity explores exponential graphs.

Exponential graphs: Teacher guidance
This teacher guidance gives an overview of the task including prior student knowledge, suggested approaches and possible extensions.

Exponential graphs: Activity...

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...

These PowerPoint presentations from MEI demonstrate a variety of methods which can be used to factorise polynomials. The techniques include factorising cubics and quartics by inspection; using a table and algebraic long division.