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 http://corestandards.org/Math/Content/HSF/BF/B/4
teaches Common Core State Standards CCSS.Math.Content.HSF-BF.B.5 http://corestandards.org/Math/Content/HSF/BF/B/5

You have saved this lesson plan!

Here's where you can access your saved items.

Content placeholder

or to view additional materials

You'll gain access to interventions, extensions, task implementation guides, and more for this lesson plan.

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