The purpose of this task is to give students practice constructing functions that represent a quantity of interest in a context, and then interpreting features of the function in the light of that context. It can be used as either an assessment or a teaching task.
The primary purpose of this task is to lead students to a numerical and graphical understanding of the behavior of a rational function near a vertical asymptote, in terms of the expression defining the function. The canoe context focuses attention on the variables as numbers, rather than as abstract symbols.
This task is preliminary to F-LE Compounding Interest with a 5% Interest Rate which further develops the relationship between e and compound interest.
This task develops reasoning behind the general formula for balances under continuously compounded interest. While this task itself specifically addresses the standard (F-BF), building functions from a context, a auxiliary purpose is to introduce and motivate the number e, which plays a significant role in the (F-LE) domain of tasks.
In this task students must figure out how much fresh water you must add to get a particular salt concentration in aquarium water.
This lesson is for a math classroom, but can be adapted to fit any grade, subject, or content. In this lesson, students will use an iPad and its features: Keynote, Pages, Garageband, Numbers, Presentation, and iMovie. Students will use 3 of those features/programs to create a video lesson consisting of several examples from a topic of their choice. This project is in place of a term final, so their chosen topic should be from their current term.Image citation: The image is one I created.
Thumbnail photo: "File:Nuvola Math and Inf.svg" by Vojtěch Pikal is marked with CC0 1.0 This is a lesson plan that can be used in any class and for any subject. The idea is to have the students review the content learned over the term, pick one of the concepts, and create a mini video lesson on the chosen concept. This is a project in place of a term final, but can be used at any time!I have tagged only a few math standards because this lesson applies to all content and all standards.
These problems give students the opportunity to construct and compare linear, quadratic, and exponential models.