The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.
Students will work to solve a problem involving a 30-60-90 right triangle and a constant rate of change to discover how long it will take for dangerous fumes from a car crash to each others on the road.
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.