Resources by University of Nottingham

Creating equations

This resource features four short tasks that involve creating, re-arranging and solving equations.

One of the tasks looks at selling tickets for a concert. Students must form two equations connecting two variables and then solve the resulting simultaneous equations. They then go on to interpret their answers...

Cubic graph

This resource features a short task on cubic functions.

Students are given a graph of a cubic function. They then have a series of tasks to complete relating to the function. These tasks involve; substitution, interpreting the graph, explaining how the cubic only has one solution, determining the y-axis...

Day out: school trip planning

This task looks at planning a school trip. Information is given about three places to visit, including the cost and distance from school. A class vote takes place with students listing their first and second choice of which place they would like to visit. Additional information gives the cost per mile of hiring a...

Defining lines by points, slopes and equations

This resource develops the concept of finding the slope and equation of a linear graph defined by pairs of coordinates. There is also work on using the slope and y-axis intercept of a straight line to derive its equation.

The initial task for students to consider is to use proportional reasoning to calculate...

Defining lines by points, slopes and equations

This resource develops the concept of finding the slope and equation of a linear graph defined by pairs of coordinates. There is also work on using the slope and y-axis intercept of a straight line to derive its equation.

The initial task for students to consider is to use proportional reasoning to calculate...

Designing: a game of chance

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

Devising a measure: correlation

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...

Evaluating statements about number operation

This resource develops the concept of substitution of integers, fractions, decimals, and directed numbers into inequality statements in order to test their validity. Students also represent inequalities algebraically and in words.

An initial question that students work on is representing the statement

Evaluating statements about probability

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

• Equally likely events
• Randomness
• Sample size

The central theme of the lesson is to address common misconceptions relating to probability. The main activity is to...

Evaluating statements: consecutive sums

This resource requires problem solving using skills in forming and factorising expressions.

Students investigate the sum of four consecutive numbers. Initially this is done using numerical examples. There are a series of statements for students to classify as ‘sometimes true’, ‘always true’, or ‘never true...