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This worksheet will allow students to explore the function topic by answering questions about the definition, working with the notation, finding domain and range and performing some basic compositions.
||HSF-IF.A.1 HSF-IF.A.2 HSF-IF.B.4 HSF-IF.B.5 HSF-BF.B.4a MP.7||HS||Activity|
This is a creative writing project (dealing with Wile E. Coyote and the Road Runner) dealing with modeling falling bodies with quadratics and solving quadratic equations. An optional aspect is to have students estimate the instantaneous rate of change.
||HSF-IF.B.5 HSF-IF.B.6 HSF-IF.C.7c HSF-IF.C.7a HSF-BF.A.1c HSF-LE.A.3 MP.1 MP.3 MP.4 MP.5 MP.6||HS||Activity|
Imagine that a city employee is given the task of counting the number of fish in a city pond in a park. The “capture-recapture” method may be used to approximate the number of fish in the pond. The employee could capture a number of fish, say 20, and tag them and release them back into the pond. Waiting until the fish have a chance to become mixed with the other fish in the pond, the employee can capture more fish. If the number of fish captured is 25 and 4 of them are tagged, we can use proportional reasoning to estimate the number of fish in the pond.
||7.RP.A.2 7.RP.A.2a 7.RP.A.2b 7.RP.A.2c 7.RP.A.3 7.SP.A.1 7.SP.A.2 MP.4||8 7 6||Activity|