A tennis ball is dropped from a height of 3 feet. The ball is shown bouncing on the ground. The challenge is to graph the height of the tennis ball against time. The resulting graph is parabolic with the amplitude showing a decrease each time.

Height video

This statistical investigation is based on the question: ‘Does the height of a tennis player affect the top speed of their service?’

Students need to decide what information is needed and how this can be obtained. Internet access is essential. This task involves data collection...

A stack of cups is shown. Cups are then added to the stack. Part way through the rate at which cups are added is increased. The challenge is to graph the height of the stack against time.

Height of stack video

A person is shown climbing to the top of a playground slide. They pause at the top and then slide down the slide.  The end of the slide has an upwards turn for safety. The task is to graph the height of the person’s waist off the ground against time.

Height of waist off ground 1 video

A person is shown on a swing. They swing back and forth at a constant rate and reach. After several swings, the person jumps off the swing and comes to rest. The challenge is to graph the height of their waist against time. The resulting graph is parabolic and periodic with a constant section at the end.

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A computer animation is shown that features a character. The character jumps and disappears through various ‘holes’ before reappearing on the screen at various heights. The challenge is to graph the height of the character against time.

Height off ground video

In this problem the learners, acting as a helicopter-rescue crew, are asked to rescue a casualty and get them to hospital. The teacher chooses the challenge level by setting the values of some variables. Students will represent and analyse a problem mathematically, interpret and communicate solutions. Use specific...

This Cre8ate maths flight testing activity requires students to work in groups and, having made their own helicopter seed model from a template, record the landing positions and distances from a central point when the model is dropped from a standard height of one metre...

The scoring system used for the heptathlon event is the focus of this resource, from the Centre for Innovation in Mathematics Teaching. Students are provided with athlete's individual results from the seven events that make up the heptathlon. They then apply relevant formulae to the data and produce tables, or...

In this Study Plus unit from the National Strategies, using the subject of global warming, students look at and analyse data to answer the question ‘Is there global warming in the world?’.

In the module students are expected to analyse the data through drawing charts and diagrams and then interpreting the...

Hexaflexagons: SMILE card ...

This Nuffield activity is set in the context of a park. Students determine where spies should sit in the park that has a square grid of benches, interspersed by bushes, so that they cannot see each other. Students also investigate how many different arrangements of...

This activity challenges students to design, and agree on an optimal route for, a village bypass, subject to the Highways Agency constraints for road design. Students use the provided software or physical resources and measure lengths of lines and curves, fine tune cost-benefit trade-offs, interpret data, convert...

In this Bowland assessment task, students are required to plan a walking trip to Hilbre Island. Students are given information about when it is safe to walk to the island, how long it takes to walk there and the times of the high tides on the proposed dates of the trip. Students have to understand the problem, work...