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KS3 mathematics: Handling data
Introduction
The task consists of three tasks:
Handling data task 1: Sorting and describing
(Level 1 and level 2; for up to 4 pupils)
- Part 1 – sorting a set of 2-D shapes and explaining reasoning.
- Part 2 – sorting objects according to two criteria.
- Part 3 – sorting objects using a two criteria Carroll diagram and providing suitable labels for the Carroll diagram.
Handling data task 2: Grasshopper race
(Level 1 and level 2; for up to 4 pupils)
- Part 1 – adding single digit numbers and recording results on a block graph.
- Part 2 – interpreting a completed block graph by answering a series of questions about the data it represents.
Handling data task 3: Pinball
(Level 1 and level 2; for up to 4 pupils)
- Part 1 – moving a counter across a game board, in the style of a tree diagram, where the direction of movement is determined by the roll of a dice and recording results on a block graph.
- Part 2 – interpreting data on a completed block graph to solve a problem.
Teachers may present all these tasks entirely practically, if this is considered appropriate to the needs of their pupils.
When teachers feel that pupils are familiar with a task they should begin to observe them and carry out the assessment. During the assessment, judgements regarding the level attained should be based on the pupil's own unaided achievements.
Handling data task 1: Sorting and describing
Assessment focus
Handling data
- Solve a relevant problem by using simple charts to sort, classify and organise information (1/Ma2/5a)
- Discuss what they have done (1/Ma2/5b)
- Solve problems involving data (2/Ma4/2a)
- Represent discrete data using diagrams (2/Ma4/2c)
Using and applying mathematics
- Present their results in an organised way (1/Ma2/1g)
- Explain and justify their methods and reasoning (2/Ma4/1h)
Resources
- a copy of the Twenty shapes sheet for each pupil (ideally these should be copied onto a different coloured card for each pupil and cut up prior to the assessment)
- HD task 1 instructions and record sheets
- a copy of the Shape sorting sheet for each pupil (enlarged to A3)
- a pen or pencil for each pupil.
Handling data task 2: Grasshopper race
Assessment focus
Number
- Count reliably up to 10 objects (1/Ma2/2a)
- Read numbers up to 10 (1/Ma2/2c)
- Understand addition; recognise that addition can be done in any order (1/Ma2/3a)
- Recall all addition and subtraction facts for each number to 20 (2/Ma2/3d)
Handling data
- Solve a relevant problem by using simple tables and charts to organise information (1/Ma2/5a)
- Interpret tables and charts (2/Ma4/2b)
- Represent and interpret data using graphs and diagrams (2/Ma4/2c)
Using and applying mathematics
- Select and use appropriate calculation skills to solve problems involving data (2/Ma4/1d)
Resources
- a copy of the Grasshopper race chart for each pupil
- HD task 2 instructions and record sheets
- two blank six-sided dice (marked 0, 1, 2, 3, 4, 5 and 1, 1, 2, 2, 3, 3 prior to the assessment)
- a colouring pen or pencil for each pupil.
Handling data task 3: Pinball
Assessment focus
Handling data
- Solve a relevant problem by using simple tables and charts (1/Ma2/5a)
- Solve problems involving data (2/Ma4/2a)
- Represent and interpret discrete data using graphs and diagrams (2/Ma4/2c)
Using and applying mathematics
- Identify the data necessary to solve a given problem (2/Ma4/1c)
Resources
- a copy of the Pinball board for each pupil
- HD task 3 instructions and record sheets
- a copy of the Pinball record chart for each pupil. [Teachers may wish to shade the cells at the top of the Pinball boards and the words at the bottom of the Pinball record charts in matching colours, corresponding to the colours of the pencils or pens that each pupil has.]
- a blank six-sided dice (marked with a square on three of the sides prior to the assessment)
- a counter for each pupil
- two colouring pens or pencils for each pupil.
