The purpose of this lesson is to strengthen connections between zeros of a function (input[s] when the output is 0), the output when the input is 0, and the coordinates of the intercept(s) of a graph of the function. Taken as a whole, this lesson can be considered a warm-up for the warm-up in the associated Algebra 1 lesson, when students will identify the coordinates of the intercepts of a graph of a given function. In the activity Intercept Detective, if students are given an authentic opportunity to make sense of the task, this is a chance to make sense of problems and persevere in solving (MP1).
Lesson overview
- 11.1 Warm-up: Which Output is 0? (10 minutes)
- 11.2 Activity: Intercept Detective (15 minutes)
- 11.3 Activity: Making More Connections (20 minutes)
Learning goals:
- Given different inputs and outputs of a function, find the corresponding output or input.
- Recognize patterns in input and output values that correspond to intercepts on a graph.
Learning goals (student facing):
- Let’s see what happens when a function’s input or output is 0.
Standards:
- This lesson builds on the standard:CCSS.8.F.A.1MS.8.F.1MO.8.F.A.1bMO.8.F.A.1c
- This lesson builds towards the standard(s):CCSS.HSF-IF.B.4MS.F-IF.4CCSS.HSF-IF.CCCSS.HSF-IF.C.7MS.F-IF.7CCSS.HSF-IF.C.8MS.F-IF.8MO.A1.IF.B.3MO.A1.IF.CMO.A1.IF.C.7MO.A1.IF.C.8MS.F-IF
IM Algebra 1, Geometry, Algebra 2 is copyright 2019 Illustrative Mathematics and licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.