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This Filling the Pool assessment also includes:
Fill your mind with math as you think about filling a pool. Given information about the rates of two pipes, one filling a pool and one draining a pool, learners determine a piecewise function that models the volume of water in the pool at any time. They graph their functions and determine when the pool will be completely drained of water if the pipe filling the pool is shut off.
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Concepts
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Instructional Ideas
- Apply the task as a formative assessment
Classroom Considerations
- Pupils should be familiar with piecewise functions
- Knowledge of rates and unit conversions is necessary
Pros
- Worksheet includes a diagram that helps visualize the situation
Cons
- Answer key solutions do not match the task