# Study Plan

From WikiEducator

Skill Development 17 (#Temporarytag) | |
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Quadratic Equations - Graphic | |

Quadratic Equations | Objectives and success criteria | Audio signpost | Study Plan | Validation and Assessment |

## 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:

- Read the information above, including examples for Finding solutions to quadratic equations.
- 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.**

- How do you solve a quadratic equation?
- How many solutions are there to a quadratic equation?
- Use the two dimensional graph given on the resource page to find the solutions to: x
^{2 }-x-20 = 0. - What is the relationship between the solutions to a quadratic equation and the x-axis?
- For what values of b is the expression factorable: x
^{2 }+bx +12? - Name four values of b which make the expression factorable: x
^{2}-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