Quadratic Modeling with the TI-Nspire
As you embark throughout your high school math career you will notice that many equations are linear in nature. However, there are some that are not linear at all but quadratic. Quadratic equations do not form a straight line but curved lines called parabolas. The topic of parabolas have many different subtopics:
- maximums and minimums
- completing the square
- quadratic formula
As we begin to explore this topics we will also look at two different forms of equations that will each bring different advantages and disadvantages. Keeping these advantages in mind we will then begin to make judgments on when to use each of the two forms.
Using the TI-Nspire we will then begin to analyze graphs and model the algebraic methods graphically. Once we look at the graphs and solve problem algebraically we will then be able to apply parabolas to real world situations.
At the conclusion of this course students should be able to:
- solve quadratic equation using the quadratic formula.
- solve quadratic equations by completing the square.
- find maximum and minimum values of a quadratic equation.
- come up with a method to aid in the memorization of quadratic equation.
- determine the cues to decide which form to use.
- use prior knowledge of absolute value equations and translations to aid in standard form of parabolas.
- memorize the quadratic formula.
- state the value two forms of quadratic equations.
- express the value of quadratic equations in real world context.
- understand the use of parabolas in the real world.
- graph parabolas in the Cartesian plane.
- use the TI-Nspire to graph parabolas.
Unit 1: Algebraic Concepts of Quadratics
Unit 3: Parabolas and the Real World
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