The initial challenge is to attempt to draw a quadrilateral that does not tessellate. There is a Geogebra file included with the resources that will help demonstrate the impossibility of the...

A rectangle is presented. The length of a diagonal is marked. The sides of the rectangle are given in terms of expressions in x. The challenge is to determine the value of x. Solving the problem involves the use of Pythagoras’ theorem which then gives rise to a quadratic with...

Produced in 2015, these resources look at the development of encoding messages and how technology and science has developed to allow us to keep messages secure. Looking at unintuitive quantum properties of light, Heisenberg’s Uncertainty Principal and entanglement, students will see how keys can be shared to ensure...

This activity examines the meanings of the terms reduce, reuse and recycle. Students consider the efficacy of recycling and reusing and whether they produce the desired results of reducing waste and energy requirements and minimising primary resource use. They then compare the impacts of recycling aluminium to...

This magic trick from the Computer Science for Fun (CS4FN) team at QMUL is based on a ‘self-working trick’. It includes a set of instructions which, so long as the commands are followed, works every time. It is, therefore, an algorithm.

The trick involves playing cards – the actual value of the cards is not...

This is a concept development lesson that is designed to assess how well students understand:

• Conditional probability
• Representing events as a subset of a sample space using tables and tree diagrams

A game has been devised where three white balls and three black balls are placed...

This is a concept development lesson that is designed to assess how well students understand:

• When conditional probabilities are equal for particular situations
• Representing events as a subset of a sample space using tables and tree diagrams
• Modelling using algebra

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This is a concept development lesson on interpreting data using frequency graph and box plots.

Eight frequency graphs are presented that show scores in tests. The frequency graphs must be matched with box plots.

There are pre-lesson and post-lesson formative assessment tasks. Detailed teacher notes...

This is a concept development lesson, designed to enhance how well students:

• Are able to use frequency graphs to identify a range of measures and make sense of data in a real-world context
• Understand that a large number of data points allows a frequency graph to be approximated by a continuous...

This resource features a task that involves interpreting functions that arise in practical situations.

Students are given the task of matching together worded descriptions, functions, and graphs. An example of a worded situations is a movie subscription where you get two movies free, but then you get charged...

This resource develops the concept of representing inequalities on a Cartesian coordinate grid. Students work with algebraic representations in a variety of formats and then shade the relevant areas.

An initial activity is to play a game ‘Hunting the target’. This involves students being given inequalities...

This is a problem solving lesson, intended to assess how well students are able to:

• Understand and calculate the conditional probability of an event A, given an event B
• Represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams

The problem is...

This resource develops the concept of what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. Particular attention is paid to:

• How the factored form of the function can identify a graph’s roots.
• How the completed square form of...

This lesson develops the concept of using trigonometry to model a real-world situation. In particular students will:

• Model a periodic situation, the hight of a person on a Ferris wheel using trigonometric functions
• Interpret the constants a, b, c in the formula h = a + b cos ct in terms of the...

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