|Skill Development 17 (#Temporarytag)|
|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.
- 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.
- Numbers that are multiplied together.
- The answer when numbers are multiplied together.
- 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: x2 -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: x2 +bx +12?
- 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?
Complete in Khan Academy: Solving Quadratics by Factoring