**New Arizona Math Standard 3 Patterns, Algebra and
Functions Grades 9-12
Articulated 3MH3-17** Solve quadratic equations.

•designate numerical values for a, b, and c in the standard quadratic equation, ax

bx + c = D

•use the quadratic formula accurately

•find the roots (solutions) to a quadratic equation

•determine the x intercepts of the quadratic equations parabolic graph.

The student will perform better on this lesson if they have had first year Algebra.

Students will possibly need paper and pencils to show their work.

This lesson takes students step by step in a tutorial formation using the quadratic

formula. The student will see three different situations where the equations have 2,

1, or no real solutions. Teacher should demonstrate to students why there are 2, 1, or

no real solutions.

If one is to find the roots of a quadratic equation, and she/he chooses to use the

quadratic formula, the pencil and paper will be needed. A calculator can only be a

guide; students will have to perform some operations on their own.

The graphing and “calc” features on the TI graphing calculators can help students

find the roots with the push of a few buttons. TI-92 and TI-89, the roots (or zeros) can

be found without even graphing. SO WHAT! provides pictures of an actual graph

rising out of the ground and slicing through the air. DIG DEEPER provides a

challenge on the soccer field. TALK ABOUT IT! sets students up with an active

graphing calculator that they can use. The problems on the screen are to be solved

with the calculator, as well as student created and shared problems.

Fairly straightforward, though students will need paper and pencil to calculate the

roots. It’s difficult for anyone to do this lesson in his/her head. Students need to select

the graph that represents the given formula. Don’t miss the “laugher” after completing

the SHOW.