The associated Algebra 1 lesson, which is about contrasting linear and exponential growth, depends on students understanding how a graph might look different if a different graphing window is used. The purpose of this lesson is to give them time to experiment with setting some different graphing windows. The warm-up is used to revisit how to use their graphing technology to change the graphing window. In the first activity, students change the graphing window to match different, given versions of a graph, and then consider why people with different motivations might choose different versions of a graph. In the last activity, students choose a graphing window so that the same given function can tell a different story. Choosing a specific graphing window for a specific purpose is an aspect of modeling with mathematics (MP4).
Lesson overview
- 19.1 Warm-up: Enough with the Zooming Already (10 minutes)
- 19.2 Activity: How to Lie with Graphing Windows (20 minutes)
- 19.3 Activity: Renting a Car (10 minutes)
Learning goals:
- Prepare to graph functions with technology with understanding of different graphing windows.
Learning goals (student facing):
- Let’s make a graph of the same function look different.
Required materials:
- Graphing technology
Required preparation:
- If possible, each student should have access to their own graphing technology device.
Standards:
- This lesson builds towards the standard: CCSS.HSF-LE.A.3MS.F-LE.3MO.A1.LQE.A.2
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