This task is designed to assess how well students understand assigning probabilities and expected value.

The task looks at a ‘Lucky Dip’ game designed to raise money for charity. There are three barrels, each contains equal numbers of red, green, white and black balls. The game costs 25¢ to enter and players...

This task is designed to assess how well students understand

The initial problems shows a black circle with radius 2r, inside of who two smaller circles of radius r are drawn. Students must show that the fraction of the diagram that is black is equal to a half.

The initial problem is altered with four...

This resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.

Students are presented...

This lesson develops the concept of distinguishing between rational and irrational numbers. In particular, students will enhance their ability in:

• Classifying numbers as rational or irrational.
• Moving between different representations of rational and irrational numbers.

 An...

This report from the Assessment of Performance Unit came about as an increasing interest was being focused on how students communicate mathematical ideas and what factors facilitate or hinder their thinking and performance. This booklet features a selection of...

This is a concept development lesson, designed to help students make meaningful comparisons between data sets. There is a particular focus on central tendency and variability. Topics covered include:

• Mean
• Median
• Outliers
• Standard deviation
• Mean absolute deviation...

This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.

Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent...

This lesson develops the concept of direct proportion and its application to problems. The works addresses the following problems that students might have:

• Use of inappropriate additive strategies in scaling problems.
• Inefficient strategies such as not using a single multiplier for solving...

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

• Interpret a situation and represent the variables mathematically
• Interpret and evaluate the data generated and identify the break-even point

The problem is set in the context of the cost...

These guides from the Nuffield Mathematics Project follow on from the Beginnings guide. They deal mainly with number but also cover weights and measures. In Computation and structure 2, the concept of number is further developed. A section on the history of natural numbers and weights and measures...

This booklet, from the Mathematics Centre at the University of Chichester, explores how the microcomputer can be a valuable tool when engaged in investigating a situation that leads to such laborious arithmetic that the 'sums' spoil the activity, especially in the...

This briefing note, intended for Governors and Senior Management Teams, fleshes out the background to the introduction of computing in schools and is intended as a basis for a strategic debate about reform of the ICT curriculum. It has been written mainly with schools in mind, but the broad outline of the argument...

This resource develops the concept of a mathematical understanding of slope. This is done through linking students’ intuitive understandings of steepness to a more precise mathematical calculation of slope.

The resource begins by presenting students with four cards showing line segments, and a further four...