Description
After ten years of math class, many students have surprisingly not learned math, but they have learned to hate math. This is the opposite of what we want to happen. This activity is for all students, especially the ones who say they hate math and like art. Even though math is a form of art. I know, I know, just humor them . . .
Students will learn to draw using the graphing calculator at www.geogebra.org and their knowledge of graph transformations. The instructions include simple examples of all translations, reflections, and dilations needed as well as instructions for the syntax used in GeoGebra to make domain restrictions and intersecting inequalities. There is no theory presented; students will be able to internalize the transformations visually by spending an hour trying to make a picture by trial-and-error. Mostly error. That's called "learning."
Pre-planning
60-90 minutes
A computer with internet access for each student or pair
(optional) Pair up the students in the class -- Pair programming is a thing! Seriously!
Instructor should verify that they personally are able to draw an example before delivering the lesson
Instruct students to come to class with a plan of something simple to draw. It would help if the drawing is already split into simple shapes and curves.
Be aware of any color vision deficiency among students in the class
Prerequisite Knowledge
Function notation
Inequalities in one and two dimensions
Learning Objectives
Gain familiarity with the graphs of common functions
Understand function transformations visually: translation, reflection, dilation
Practice writing domain restrictions
Plan and execute compound inequalities in one and two dimensions
Practice using various features of a graphing utility
Enjoy the process of learning math
Highlights
Description
After ten years of math class, many students have surprisingly not learned math, but they have learned to hate math. This is the opposite of what we want to happen. This activity is for all students, especially the ones who say they hate math and like art. Even though math is a form of art. I know, I know, just humor them . . .
Students will learn to draw using the graphing calculator at www.geogebra.org and their knowledge of graph transformations. The instructions include simple examples of all translations, reflections, and dilations needed as well as instructions for the syntax used in GeoGebra to make domain restrictions and intersecting inequalities. There is no theory presented; students will be able to internalize the transformations visually by spending an hour trying to make a picture by trial-and-error. Mostly error. That's called "learning."
Pre-planning
60-90 minutes
A computer with internet access for each student or pair
(optional) Pair up the students in the class -- Pair programming is a thing! Seriously!
Instructor should verify that they personally are able to draw an example before delivering the lesson
Instruct students to come to class with a plan of something simple to draw. It would help if the drawing is already split into simple shapes and curves.
Be aware of any color vision deficiency among students in the class
Prerequisite Knowledge
Function notation
Inequalities in one and two dimensions
Learning Objectives
Gain familiarity with the graphs of common functions
Understand function transformations visually: translation, reflection, dilation
Practice writing domain restrictions
Plan and execute compound inequalities in one and two dimensions
Practice using various features of a graphing utility
Enjoy the process of learning math
