In this lesson, students prepare for the associated Algebra 1 lesson by focusing on evaluating quadratic expressions correctly, particularly for a negative input (for example, evaluating \(x^2+10\) when \(x\) is -3). Additionally, they recall the effect on a graph of a linear function when its parameters vary. Students will encounter and rehearse some language needed to describe the effect of varying the parameters \(a\) and \(c\) in a function defined by \(ax^2+c\) in the associated Algebra 1 lesson. When students evaluate sample work and explain who they agree with and why, they are critiquing the reasoning of others (MP3). When students vary the parameters in a linear function and record their observations, they have an opportunity to attend to precision through their word choices (MP6).
Lesson overview
- 12.1 Warm-up: Math Talk: A Negative Input (5 minutes)
- 12.2 Activity: Equations and Their Graphs (20 minutes)
- 12.3 Activity: Match the Graphs (20 minutes)
Learning goals:
- Evaluate quadratic expressions for negative values of the variable.
- Revisit the effect on its graph of changing the parameters in a linear function.
Required materials:
- Graphing technology
Standards:
- This lesson builds towards the standards: CCSS.HSF-BF.B.3MS.F-BF.3CCSS.HSF-IF.A.2MS.F-IF.2MO.A1.BF.A.1MO.A1.IF.A.2
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