Kids On GridsTask 217 ... Years 4  8SummaryCreated to help students experience location on a grid, the task goes much further by exploring number patterns in the ordered pairs that are formed. It is ordered pairs in a pattern that are the basis of the algebra associated with defining lines and curves on a plane. The task leads students towards exploring some linear examples and, given they have the opportunity to invent their own rules in the Challenge, they might stumble upon a curve. The thrust of task is from shape to number  from what you can see to how you can symbolise it  and the hunt for a pattern.Materials

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IcebergA task is the tip of a learning iceberg. There is always more to a task than is recorded on the card. 
The task begins by developing the skills of locating objects in two dimensional space using an ordered pair of numbers. This involves spatial perception, measurement (counting of grid units) and accepting the convention of reading the first number in the pair as the horizontal, in this case easterly, direction. Another convention is that the starting point for counting is always (0, 0) 'because G never leaves camp'. These skills relate to mapping, reading street directories and creating and interpreting graphs. The handson aspect and the story context lift the task out of an equivalent text book page. If you have a grid painted on the playground, or a large plastic mat, your students can act out the task. However, the task is more than measurement. Kids can be placed on the grid in a random manner, but they can also be placed on the grid in a pattern. Creating a visual pattern by placing in this way is a doorway to graphical algebra. If there is a visual pattern there will always be a number pattern, and that pattern can be discovered by asking:
Extensions

Whole Class InvestigationTasks are an invitation for two students to work like a mathematician. Tasks can also be modified to become whole class investigations which model how a mathematician works. 
As mentioned above, this task begs to be expressed as a whole class investigation outside or in a multipurpose room with the children acting the story. So that the actors can also see 'the big picture' they can take witch's hats (or cones from the art room) to place in their spot then move off the grid. A long length of rope or coloured cord will be useful. It can be held on the ground to highlight any patterns between points. After exploring in this way, return to the classroom and set up a table top model using the printed grid above and blocks. The ideas above will be the source of several lessons. At this stage, Kids On Grids does not have an exact match on Maths300, but it is closely related to Lesson 22, Algebra Walk and Lesson 75, Walking With Children. 
Is it in Maths With Attitude?Maths With Attitude is a set of handson learning kits available from Years 310 which structure the use of tasks and whole class investigations into a week by week planner. 
The Kids On Grids task is an integral part of:
