This worksheet is designed to replace a lecture on solving quadratic equations by Graphing.
I start out class with a 15-minute "mini-lesson," giving my students some basic examples of what today's lesson will be about. I have found it incredibly helpful to project a graph on my screen using desmos.com, which has the link below:
Click on the large, red "launch calculator" button;
Type in the equation of any graph you want. If you type in y=a(x-h)^2+k, it will ask you if you want to create "sliders" for a, h, or k, or "all." If you select "all," it will create two sliders, which you can use to manipulate the equation of the parabola.
Note: I actually type in the equation y=a(x+h)^2+k, so that students see that adding 3 to x actually moves the graph to the left, and vice versa.
I then type in a constant function such as y = 5. Desmos is so powerful, if you put the cursor where the two graphs intersect, it will display the coordinates of the points of intersection. (Though without parentheses, which is one of my pet peeves!)
Using an online calculator I have found is much more useful than trying to type in equations into a TI calculator; however, I do show them how to use their TI calculators to create tables of functions so that they can quickly generate the tables required in this worksheet.
I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions. You will notice that I have students "appoint a reader" for each problem, as I've discovered, quite by accident, that merely asking them to appoint a reader for each problem has significantly increased the likelihood they will read directions, and furthermore, that they will actually stay focused on the same problem at the same time. (When I've asked them to "read directions" and to "stay focused on the same problem together in your groups," it seems to go in one ear and out the other.) But with this slight change in my worksheets, I've found dramatically better cooperative learning!
The file includes spiral review problems.
This worksheet is intended to be written on directly.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.
Immediately before this worksheet, I use the worksheet named 'Graphing Quadratics Spring 2014' (http://www.teacherspayteachers.com/Product/Graphing-Quadratics-Spring-2014-1271283
), and immediately after this worksheet, I use the worksheet named 'Solving Quadratic Equations Using the Quadratic Formula Spring 2014' (http://www.teacherspayteachers.com/Product/Solving-Quadratic-Equations-Using-the-Quadratic-Formula-Spring-2014-1271297