Explore the meaning of absolute value using visual representations, including dynagraphs and graphing on the coordinate plane.
This ARC aims to create contexts for students to experience a variety of visual representations that reinforce the definition of absolute value. Explorations connecting back to elementary concepts and progressing in complexity provide intentional transitions for building deeper meaning. Representations considered in subsequent activities include the following topics:
High-school teachers Tina, Janet, and Deidra reflect on their own learning and describe some 'aha moments' they experienced while working as a team to write this series of lessons.
How do you break a function into pieces?
Illuminations Interactive: Dynagraphs
I did not realize there were multiple ways to show visual representations of absolute value. Thanks for sharing!
Hi y'all. I made a tiny improvement for Marc's Desmos dynagraphs so that the line connecting the input and output points is visible for positive and negative slopes:
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What is the meaning of absolute value?
Algebra, Functions, Reasoning/Sense Making/Proof, Representation, Functions and Relations, Technology, absolute value, reflections, absolute value equations, absolute value graphs, dynagraph, piecewise functions, system of equations
CCSS, Content Standards to Domain Level
CCSS, Standards for Mathematical Practices
Original Source/Author: n/a
New Editors: Janet Oien, Deidra Baker, Tina Cardone, Jerel Welker, Brenda Gardunia, Marshall Lassak