This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of ratio and a booklet 'The Golden Rectangle'.

Ratio pack one contains twelve work cards with a wide variety of activities covering comparing lengths,...

This activity provides the opportunity for students to appreciate how mathematics plays a part in everyday life. The town council has allocated £100,000 to spend on reducing the number of deaths and serious injuries due to road accidents. Students are expected to adopt the role of planners who work in small teams...

The purpose of the Science, Technology, Engineering and Mathematics (STEM) Mapping Review, published by the Department for Education in 2004, was broadly to:

• investigate whether STEM initiatives currently being taken forward address the concerns raised about the decline in demand of university places in...

This lesson develops the concept of visualising two-dimensional cross-sections of representations of 3-dimensional objects.

The lesson begins by considering two cylindrical containers placed so that they make a right angle. Water flows from one cylinder to the other. Students consider the top view of the...

This lesson develops the concept of combining transformations. In particular students will:

• Recognise and visualise transformations of 2D shapes
• Translate, reflect and rotate shapes, and combine these transformations
• Discuss some common misconceptions about transformations
...

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, 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 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 diagrammatic representations of calculations. Attention is paid to order of operations, along with the distributive and commutative properties.

An introductory activity considers areas of rectangles in relation to calculations, what is often termed ‘the grid method...

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...

This is a concept development lesson that involves deepening understanding of how to calculate the mean, median, mode, and range from a frequency chart. Coverage is also given to using a frequency chart to describe a possible data set given information on the mean, median, mode and range.

The situation is...

This was one of the six Special Studies to feature in the Revised Nuffield Advanced Chemistry course. Each student was expected to work through one of the studies in about four weeks. The aim was to show students how chemistry is applied in agriculture, industry, and medicine, and to help them to appreciate that...

The mathematics in SMILE is presented in the form of practical activities, games and investigations. They encourage an independent approach and are suitable for students from Key Stage 2 to 4

The Activity List identifies the card number and title, the attainment target, an abbreviation of the topic and the...