In this lesson, students practice using function notation by relating it to their previous understanding of graphs. In the associated Algebra 1 lesson, students go into more depth interpreting function notation in situations. Students are supported by focusing mostly on points in this lesson so that a deeper understanding of the situation can be achieved in the Algebra 1 lesson.
Students must make sense of the problem and persevere in solving it (MP1) when they draw a graph of a function that has specific properties. Attending to precision (MP6) is also important when interpreting function notation as points on a graph.
Lesson overview
- 3.1 Warm-up: Which One Doesn’t Belong: Function Notation (10 minutes)
- 3.2 Activity: Points into Function Notation and Back (10 minutes)
- 3.3 Activity: A Graph with Properties (20 minutes)
Learning goals:
- Convert input/output pairs in function notation into coordinate pairs and back.
- Draw a graph of a function with given parameters presented in function notation.
Learning goals (student facing):
- Let’s use function notation to talk about points.
Standards:
- This lesson builds towards the standards: CCSS.HSF-IF.A.2MS.F-IF.2CCSS.HSF-IF.B.4MS.F-IF.4MO.A1.IF.A.2MO.A1.IF.B.3
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.