Wikieducator.org/Mathematical Journey?Skill Development/Quadratic Equations

Why
The quadratic equation plays a pivotal part in mathematics and in real-life situations such as the invention of satellite television, the crafting of lens in your eye glasses, and even the creation of a wok for cooking.

Success Criteria: After completion of this module, learners will be able to
 * 1) Define a quadratic equation.
 * 2) Find the solutions of quadratic equations in the form ax2 + bx + c = 0.

Glossary

 * Quadratic:Quadratic is synonymous with parabolic.
 * Real Numbers:All positive and negative numbers and zero. The set of real numbers also includes all positive and negative fractions and all decimals that are repeating or non-repeating-- terminating or non-terminating.
 * Factors:Numbers that are multiplied together.
 * Product:The answer when numbers are multiplied together.

mahara.oeruniversitas.org/view/view.php

Plan and/or Tasks
' Experience: ''
 * 1) Read the information above, including examples for finding solutions to quadratic equations.
 * 2) Using the first example, redo it on another piece of paper without looking at the answer. Then, check your work.

 Key Questions (Critical Thinking Questions)
 * 1) How do you solve a quadratic equation?
 * 2) How many solutions are there to a quadratic equation?
 * 3) Use the two dimensional graph given on the resource page to find the solutions to: x2 -x-20 = 0.
 * 4) What is the relationship between the solutions to a quadratic equation and the x-axis?
 * 5) For what values of b is the expression factorable: x2+bx +12?
 * 6) Name four values of b which make the expression factorable: x2 -3x +b . 7. Why is it impossible to have a linear trinomial with one variable?

 Skill Exercises:
 * 1) Solve each equation: a. x2 -7x-18=0 b . x2 -7x+12 =0 c. 5p2 -p-18 =0 d. 2b2 +17b +21 =0
 * 2) Explain something about quadratic equations to someone you know.

 Problems:
 * 1) Sketch the graph of problem 1a.

Validation: Ask your coach to look at your graph and answer. Be prepared to explain what you did.

 Reflection on Learning:
 * 1) What strengths did you exhibit in learning about finding quadratic equations?
 * 2) In what areas would you like to improve your understanding of quadratic equations?
 * 3) What insight did you gain from your investigation of quadratic equations?