Mathematics - Units of Study
The themes covered in our mathematics course relate to the teaching programmes for meeting the objectives within the National Curriculum Mathematics Framework. All courses will be tailored to meet the needs of your Key Stage 3 pupils according to their level, from 4 to 8.
All units encourage students to use and apply maths, pupils will need to:
• Decide what data is relevant to an enquiry
• Collect small sets of data from surveys and observation
• Use a range of techniques, methods and resources
• Compare and evaluate solutions
• Use symbols, diagrams and graphs
• Explain and justify methods and conclusions
Theme 1 - Algebra
By understanding real life situations from taking part in activities and collecting relevant data, pupils will generate coordinate pairs, construct simple linear function graphs and calculate velocities. In our ICT suites, pupils will produce an annotated presentation to demonstrate their understanding.
Full Throttle
Pupils will select and collect the data using a variety of methods and practical skills, such as measuring the length of a quad track and using a stopwatch to record the times of each lap. They produce a presentation to demonstrate their understanding.
Tower Time
During an abseil session, pupils will record time for each leg of the journey up and down the tower and use other known data such as the distance covered to calculate speed and acceleration. Pupils can then also use their heights and ages to compare with a database of data and identify trends and patterns.
Theme 2 - Handling Data
Pupils work out averages, including mean, median and mode, identify the relevant graph, chart or table and construct diagrams to explain patterns and trends within the data. Pupils present this using ICT tools.
Heart Beat
Taking part in a rope based activity, with a data logging equipment; pupils record their pulse rates during the activity and the time taken. They can identify key points in the experience and analyse in detail how their pulse rate changed, before producing graphs of the data.
Stock Take
At a new centre, PGL is going to open a retail outlet. Pupils work in small teams to look at data from existing PGL retail outlets (including stock figures, sales, costs and profits), in order to identify ‘best sellers’ and calculate best prices for maximum profit over 52 weeks and produce spreadsheets to show workings and test predictions.
Theme 3 - Numbers and the number system
Pupils will collect data from an activity session and then manipulate this data, calculating percentages and investigating percentage increases and decreases, examining ratios and proportions. They will then generate a presentation or report, considering their results both as fractions and equivalent decimals, demonstrating their understanding of units and unit comparisons and round numbers.
Aero Noughts
Pupils start by collecting simple data from taking part in an Aeroball session, such as scores, number of goals, time between goals, points per person and per team and timings of ‘in-game’ events such as fouls or other stoppages.
Sports Report
Competing in a series of small team games and race-style physical exercises, pupils record times, scores, distances and other ‘in-game’ events such as tackles, stoppages.
Theme 4 - Shape, Space and Measures
Pupils will consider units of measurement, such as speed and angles and calculate shortest routes given hypothetical restrictions. They will convert their results between different units, including between metric and imperial units. They will present their data to demonstrate their understanding.
Marker Trail
Pupils use an orienteering style activity to create, use and understand maps, scales and coordinates, using a variety of methods and skills including compasses, GPS units and maps at a variety of scales.
Route Master
Pupils use a local off-centre walking route to create, use and extend their understanding of maps, scales and coordinates, using a variety of methods and skills including compasses, GPS units and maps at a variety of scales.
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