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
Grade level: 9th grade
Length of lesson: One class period (45 minutes)

                           Stage 1 – Desired Results
Academic and Content Standard(s):

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: - 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: - 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
quadratic equations and inequalities.

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
   The Quadratic equation.                           solutions?
                             Graduate Fellows in K-12 Education

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
Performance Task(s):                        Other Evidence:

Students will use the graphing calculators.

                                    Stage 3 – Learning Plan
Learning Activities:

       Materials and Resources:

           Graphing Calculator (TI-94)

           Optional teacher tools:
           Overhead projector
           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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