Resources by University of Nottingham

Buses task

This short task considers a distance time graph for a bus journey. Students must answer a series of questions on interpreting the graph, including drawing the graph of the journey of a bus traveling in the opposite direction.   

The resource comes with both scored and unscored student work. This is useful...

Buying chips and candy

This resource features a task that explores setting up and solving simultaneous equations in a practical context.

Ralph and Jody go to a shop to buy potato chips and candy bars. Each buys a different combination of the items, with the total cost to each person being given. One equation is given, and students...

Candy bars: analysing data

This task assesses analysing data using graphs or charts.

A group of friends are planning on selling candy bars at a school tuck shop. They conduct a survey of 30 people, asking the question, ‘how many bars of candy do you eat in a week?’

The results are presented as raw data, stating male or female,...

Card game: conditional probability

This task assesses how well students understand calculating conditional probability.

The task features a game of ‘higher or lower’ being played with cards numbered 1 to 10. Several turns in a game are shown and students must write the probability that the next card is either higher or lower.

This task...

Charity fair: assigning probabilities

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...

Classifying equations of parallel and perpendicular lines

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...

Classifying solutions to systems of equations

The first activity in this resource asks students to consider x = 5 and answer the question ‘what value is y’? An initial discussion builds up understanding of graphical representations of linear equations.

This lesson develops solving pairs of linear equations by considering their graphical representations...

Comparing data using statistical measures

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...

Comparing lines and linear equations

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...

Creating a measure of slope

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...