# Stage 1 – Desired Results

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```					                            Graduate Fellows in K-12 Education

Lesson Title: Programming the Quadratic Equation in a Graphing Calculator (TI-94)
Discipline Focus: Algebra I & II
Length of lesson: One class period (45 minutes)

Stage 1 – Desired Results

National Math Standards and Expectations:
Algebra – Understand patterns, relations, and functions
Algebra - Represent and analyze mathematical situations and structures using algebraic symbols

Minnesota Academic Standards for Mathematics 2007:
Algebra - Recognize function in real-world and mathematical situations
Benchmark Code: 9.2.2.3 - Sketch graphs of linear, quadratic and exponential functions, and
translate between graphs, tables and symbolic representations. Know how to use graphing
technology to graph these functions.

Algebra - Represent real-world and mathematical situations using equations and inequalities
involving functions
Benchmark Code: 9.2.4.1 - Represent relationships in various contexts using quadratic
equations and inequalities. Solve quadratic equations and inequalities by appropriate methods
including factoring, completing the square, graphing and the quadratic formula. Find non-real
complex roots when they exist. Recognize that a particular solution may not be applicable in the
original context. Know how to use calculators, graphing utilities or other technology to solve

Understanding (s)/goals:                      Essential Question(s):

Students will understand:                            Can you think of any other programs you
would like your calculator to have?
   Graphing by hand.                                Do you recognize the Quadratic equation
   Graphing with the calculator.                     in the program?
   How to use calculator commands.                  How can have the program find imaginary

Student objectives (outcomes):

Students will be able to:

   Use the graphing calculator to compare results to those made graphing by hand.
   Hypothesize the expected results.

Stage 2 – Assessment Evidence

Students will use the graphing calculators.

Stage 3 – Learning Plan
Learning Activities:

Materials and Resources:

Graphing Calculator (TI-94)
Handout

Optional teacher tools:
Device to project screen of graphing calculator

Introductory Activities:

Explain how to use the graphing calculator.

Developmental Activities:

These questions are to be asked through the lesson to prompt student thoughts.
 How many commands did you figure out?
 Is it easier or more difficult than you thought?
 Which lines contain the expressions for the Quadratic equation?
 What results do you expect the calculator to give?
 Once programmed, is the calculator displaying the solutions you expected?
 For what other purposes would you like to use the calculator?

Closing Activities:

Discuss the results of the activity.

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