Students will revisit exponential and linear functions by modeling real-world scenarios with equations, tables and graphs. They will use horizontal shifts to create sequences with initial values at n=1. They will practice writing functions using sequence notation. Given selected values for a sequence, students will find the initial value, common difference or common ratio then write the formula for the sequence. They will use the formulae for finite series. This mission is aligned with Common Core State Standards: HSF.LE.A.2
The fun stuff:
One basketball player scores 2 more points every game, while the other doubles his points every game. How can we model these player’s scores, and also determine who scores the most at the end of the season? Arithmetic and geometric sequences help students apply linear and exponential functions to real world scenarios. Conceptually powerful and real world connected!
The zip file includes:
★The mission. (16 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:
•Review of the graphs, tables and equations for linear and exponential functions.
•Use of horizontal shifts to model different scenarios and prepare for sequence formulae.
•Development of the notation for arithmetic and geometric sequences, and applications.
•Finding formulae for sequences given various terms.
•Formulae for arithmetic and geometric series, and applications.
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The Incomparable Number Sense 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!