Number and algebra: My thinkboard
Summary of task
The students were presented with a basket containing five skipping ropes. They were told that previously there was a basket full of skipping ropes and were asked to list three different solutions to how many skipping ropes had gone missing. Students gave the strategy that was used for each solution.
Proficiencies
At this year level problem-solving includes using materials to model authentic problems, giving and receiving directions to unfamiliar places, using familiar counting sequences to solve unfamiliar problems and discussing the reasonableness of the answer.
At this year level reasoning includes explaining direct and indirect comparisons of length using uniform informal units, justifying representations of data and explaining patterns that have been created.
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Annotations
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1
Understanding
Interprets the problem as a problem involving the subtraction of one number from another to obtain an answer of ‘5’ -
2
Problem-Solving
Communicates a first solution to the problem effectively in two different ways by using a number sentence and a pictorial representation -
3
Problem-Solving
Communicates three further solutions to the problem effectively in two different ways in each case, by using a number sentence and a number line -
4
Reasoning
Identifies the strategies used from a given list to explain that the solutions were obtained by using ‘pictures’ and ‘counting back’ for ‘Answer 1’ and ‘counting back’ and ‘number lines’ for the solutions obtained under ‘Answer 2’ and ‘Answer 3’