In this lesson, students have an opportunity to use a graphing calculator to do the same things they will in the associated Algebra 1 lesson. In the warm-up, students use intercepts and other features of graphs to compare and contrast them, drawing on relevant vocabulary. Then, they change the parameters of a linear function and draw connections to the features of a graph representing the function. (In the Algebra 1 lesson, they do a similar activity involving quadratic functions.) Then, they practice identifying equivalent expressions. This is in preparation for the associated Algebra 1 lesson, when they will need to rewrite expressions in equivalent forms, including expanding expressions like \((x-5)^2\). Students notice and make use of structure (MP7) both when they notice how changing a parameter in a function affects its graph and when they use structure to identify equivalent expressions.
Lesson overview
- 15.1 Warm-up: Which One Doesn’t Belong: Four Graphs (10 minutes)
- 15.2 Activity: Shift That Line Around (15 minutes)
- 15.3 Activity: Finding Equivalent Expressions (15 minutes)
Learning goals:
- Experiment with changing the parameters in a linear function and noticing the effect on the intercepts of its graph.
- Practice identifying equivalent expressions.
Learning goals (student facing):
- Let’s notice how the numbers in a function affect its graph.
Required materials:
- Graphing technology
Standards:
- This lesson builds towards the standards:CCSS.HSF-BF.B.3MS.F-BF.3MO.A1.BF.A.1CCSS.HSF-IF.C.7.aMS.F-IF.7aMO.A1.IF.C.7CCSS.HSF-IF.C.8.aMS.F-IF.8aMO.A1.IF.C.8
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