Curriculum / Math / 11th Grade / Unit 9: Limits and Continuity / Lesson 3
Math
Unit 9
11th Grade
Lesson 3 of 9
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Sketch a slope graph from a linear piecewise function.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This lesson is aligned to the Learning Objectives and Essential Knowledge described in the College Board's AP Calculus AB and AP Calculus BC Course and Exam Description:
LO2.1A
LO2.1B (approaching)
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Sketch a graph that shows the slope over each interval.
Derivative of a linear piecewise function by cconrad is made available by GeoGebra under the CC BY-NC-SA 3.0 license. Copyright © International GeoGebra Institute, 2013. Accessed June 12, 2018, 11:52 a.m..
Below is a sketch of a slope graph. Draw the sketch of the piecewise function.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Sketch the slope graph of $${{g(x)}}$$. On which intervals is $${{g(x)}}$$ increasing and decreasing?
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 2
Lesson 4
Topic A: Limits and Continuity
Graph, write, and evaluate linear piecewise functions.
Use interval and function notation to describe the behavior of piecewise functions.
Find limits, including left- and right-hand limits, on a function given graphically.
Define continuity of functions and determine whether a function is continuous on a particular domain.
Write and evaluate piecewise functions algebraically and graphically using parent functions.
State and evaluate limits algebraically.
Evaluate infinite limits and limits at infinity.
Sketch functions given limits and continuity requirements.
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