Rate of change, velocity, slope, change in y over change in x.
The fact that there are so many ways to describe rate of change is a demonstration of the centrality of this concept to functions and their ability to model relationships between variables in the real world. This mission is aligned to Common Core State Standards: 8.F.2, 8.F.4, HSA.CED.A.2, HSF.BF.A.1.A.
The fun stuff:
Genies, road trips and bike rides give a real world context for rate of change! This central concept is explored through concrete scenarios, with functions, tables, graphs and slope triangles investigated extensively. A popular seller and frames rate of change effectively for subsequent work with linear functions. Far reaching and satisfying!
The zip file includes:
★The mission. (14 pages).
★A two-page Quick Start guide for teachers. Detailed and helpful!
★Selected Answers in pdf form.
★Selected Answers online, password protected. For students to correct at home!
The mission includes:
•Linear functions exploration with genie model.
•Rate of change from scenario, function, table or graph.
•Rate of change in road trip scenario. Different rates for different sections of the journey.
•Slope “cheat sheet” summary.
•Carefully designed practice problems.
Check my awesome bundles as well! Engaging, entertaining and effective:
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The Daring Data and Statistics Bundle from Courage To Core
About Courage To Core:
We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT! You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me! Thanks!