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The Farmyard Friends task is an integral part of: Is it in Maths With Attitude? Maths With Attitude is a set of hands-on learning kits available from Years 3-10 which structure the use of tasks and whole class investigations into a week by week planner. Use the questions in the iceberg section to extend the investigation.įor more ideas and discussion about this investigation, open a new browser tab (or page) and visit Maths300 Lesson 47, Farmyard Friends, which includes large and small cards for printing. and recorded their solutions on the whiteboard.Īt Silvan Primary School, Australia, the investigation was used as part of a parent maths night. This Year 3 class at Trädgårdsstadsskolan, Sweden used large and small animal cards and colourful pens. How do we know when we have found them all?Īnd expect plenty of discussion as the basic four, and then alternatives are found.Ask the students to quickly rip up paper and write the animal names (one set between two) and use these to find and record it. Once the solution is found encourage each student to record it in their journal and then surprise them with. The investigation begins with the class telling the animals the order in which they should stand. The upper section of the whiteboard will do the job here. Also write out the clues large enough for all the students to see. You can just write the name of the animals on A4 pieces of paper, but an extra touch of interest comes from using enlarged clip art pictures. Introduce the investigation using students to act as the five animals. Tasks can also be modified to become whole class investigations which model how a mathematician works.
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Whole Class Investigation Tasks are an invitation for two students to work like a mathematician.
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What happens if there are only two clues, eg: The cow is in the pen at the end.What happens if the only clue is a negative, eg: The horse is not next to the pig.?.What happens if there is only one clue, eg: The cow is in the pen at the end.?.If there were no clues at all, how many ways could the animals be arranged in the pens?.Now make up a set of clues and try them out on another group. Put the animals in the pens your own way.Can you change the clues so that there is only one solution?.With this approach a second set of four solutions can be found. What, for example, does 'after' mean now. But what happens if the walk is from 'right to left'. This set of solutions results from a 'left to right' walk along the line of pens. after - immediately after, or anywhere after?Īnd the various language interpretations are what leads to multiple solutions.
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The words 'the end' and 'after' can be interpreted in various ways, eg: There is always more to a task than is recorded on the card.Įven quite young students usually have no problem finding one solution to this puzzle, but the challenge is in finding more. Iceberg A task is the tip of a learning iceberg. mathematical language related to space and order.However, it is exciting to discover that there is more than one solution and this opens the door to a rich iceberg of possibilities that can extend into the senior years of high school. Also, it doesn't seem too difficult because there isn't much writing on the card. This language and logic puzzle entices students through the use of toy animals. Years 2 - 10 Summaryįive animals have to be placed into five pens according to the restrictions of the problem. Farmyard Friends Farmyard Friends Task 129.