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The Nuffield Foundation provides this activity which can be used to review students' knowledge of the derivatives of quadratic and cubic functions and their graphs. The slideshow provides an introduction by considering a quadratic example and a cubic example.

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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 lesson develops the concept of naming and classifying quadrilaterals according to their properties. Students identify the minimal information required to define a quadrilateral. They sketch quadrilaterals with given conditions.

During the first part of the lesson students choose from the words ‘all’, ‘...

This lesson develops the concept of constructing triangles with given conditions. In particular students will:

  • Recall and apply triangle properties
  • Determine whether a set of given conditions for the measures of angle and/or sides of a triangle describe a unique triangle, more than one...

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

  • Select appropriate mathematical methods to use for an unstructured problem
  • Interpret a problem situation, identifying constraints and variables and specify assumptions.
  • Work with 2- and 3-...

This is a problem solving lesson that is designed to help students to:

  • Understand the connection between relative frequency and probability
  • Gain experience of designing and carrying out a probability experiment
  • Calculate a theoretical probability for a practical scenario
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In this resource students are given a quadrilateral with one angle of 60 degrees and varying side lengths- with two of the sides of equal length. The challenge is to calculate the lengths of the diagonals.

Each student worksheet contains a different quadrilateral, but the solutions all have something in...

This problem solving lesson is designed to assess how well students understand strength of correlation.

The problem looks at some scatter diagrams related to a cinema. The owner is looking to see if there is a correlation between:

  • Temperature and ice creams sold
  • Length of movie and...

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...

In this resource pupils will learn about geological time, different geological periods and how old the earth is. They will also learn about dinosaurs, their various characteristics, and how they are both similar to, and different from, reptiles we see today. They will discover there are three main different types...

This lesson develops the concept of Pythagoras’ theorem. In particular students will:

  • Use the area of right triangles to deduce the areas of other shapes
  • Use dissection methods for finding areas
  • Organise an investigation to systematically collect data
  • Deduce a generalizable...

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

  • Select appropriate mathematics to solve a problem
  • Compare and evaluate different methods for solving a problem and make generalizations about the appropriateness of different approaches
  • ...

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.

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