Math A30 Relations and Functions

Subject: Math A30
Unit: Relations and Functions
Topic: Quadratic Functions - Standard Form
Objectives: Evergreen Curriculum
Website: Graphing Calculator


This website contains a free online graohing calucaltor. Depending on the budget in your school some may not have access to handheld gaphing calculators, therefore websties like this can benefit your students.

I would use the online graphing calcualtor to assist students in a discovery lesson in which the students will conjecture the applications of each variable that is in standard graphing formI would give students a handout of quadratic equations such as:
y= 2x^2
y= 2(x-3)^2+5
y=2(x+3)^2+5
y=8(x+3)^2 +5
y= 2(x+3)^2 -5

Students would copy down after a sketch of what each of the graphs looked like. The equations' variables would change slightly becasue I want the students to visually how the graph is affected by a changing a variable. In conclusion I would want students to realize what purpose each variable has in the equations.

Example:

a = changes the width of the parabola, smaller the variable the larger the parabola

h = x point of the vertex will move the parabola from left to right

q = y point of the vertes will move the parabola up and down

I belive students would benfit from this application of graphing because they can visually see the graphs and make a connection between the equation and the graph. I would move on from this lesson by going on to discuss min, max, range, domain etc.