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Lesson Plan

Determine if a function is one-to-one by examining the height and velocity of a projectile

teaches Common Core State Standards CCSS.Math.Content.HSF-BF.B.4
teaches Common Core State Standards CCSS.Math.Content.HSF-BF.B.5

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Big Ideas: A function is a relation between a set of inputs (the domain) and a set of outputs (the range) where each element of the domain is mapped to exactly one element of the range. A one-to-one function is a function is a function that maps every element of the domain to a distinct element of the range. This lesson builds on student's previous learning about functions to introduce the idea of a function that is one-to-one (also called "injective"). By comparing a function that is one-to-one to one that is not, students will learn what is distinctive about one-to-one functions. A solid understanding of one-to-one functions is critical to the development of ideas in subsequent lessons, as only one-to-one functions are invertible. Vocabulary: inverse, function, one-to-one, domain, range
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