Resources by University of Nottingham

Representing inequalities graphically

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...

Representing probabilities: medical testing

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...

Representing quadratic functions graphically

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...

Representing variability with mean, median, mode and range

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...

Representing: road race

This problem solving resource is intended to help students with recognizing and using proportional relationships, including through the use of graphs

Students are given information about a road race. They are presented with a map and information about the speeds of two runners. The race consists of four laps...

Sampling and estimating: counting trees

This is a problem solving lesson where students develop their understanding of the following areas:

• Solve simple problems involving ratio and direct proportion.
• Choose an appropriate sampling method.
• Collect discrete data and record them using a frequency table.

A sheet...

Scatter diagrams

This task assesses understanding of scatter diagrams and lines of best fit. A scatter diagram is presented that shows the scores achieved in two tests.

The task involves plotting a point to show the average score for each test, drawing a line of best fit, and then assessing five statements about the scatter...

Seeing structure in expressions

This resource features five short tasks that involves structure in expressions.

An example task is to simplify an expression that contains square roots.

This task resource is from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the...

Sidewalk patterns

This resource features a task that involves finding an nth term rule for a quadratic sequence.

Students investigate a sequence of pavement patterns. The patterns are constructed with blocks arranged in a square at the centre, blocks arranged in smaller squares at each corner, and then a different colour of...

Skeleton tower

This resource features a task that involves generating a sequence from 3D models and then finding an nth term rule.

Students investigate a sequence of towers built from cubes. There is a central column that increases in a linear pattern, and then four arms that are modelled using a quadratic sequence.