Mathematical Journey/Quadratic Equations/Study Plan

Plan and/or Tasks
Prerequisite: Learners should know how to factor polynomials.

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.

 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)

Answer in your journal.


 * 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:

Complete in Khan Academy: Solving Quadratics by Factoring