Solving Quadratic Equations
| Site: | Young Education |
| Course: | Quadratic Functions |
| Book: | Solving Quadratic Equations |
| Printed by: | Guest user |
| Date: | Friday, 25 September 2026, 1:19 AM |
1. Solving by Factoring
Learning outcomes
- I can factor simple quadratic expressions.
- I can apply the Zero Product Property.
- I can solve quadratic equations by factoring.
- I can verify my solutions.
- I can recognise when factoring is appropriate.
2. Solving by Completing the Square
Learning outcomes
- I can complete the square for simple quadratics.
- I can rewrite equations in vertex form.
- I can solve quadratic equations using completing the square.
- I can explain why the method works.
- I can verify my solutions.
3. Solving Using the Quadratic Formula
Learning outcomes
- I can identify the coefficients in a quadratic equation.
- I can substitute correctly into the quadratic formula.
- I can solve quadratic equations accurately.
- I can simplify exact solutions.
- I can verify solutions by substitution.
4. The Discriminant
Learning outcomes
- I can calculate the discriminant.
- I can predict the number of real solutions.
- I can distinguish between repeated and distinct roots.
- I can explain what the discriminant represents graphically.
- I can relate the discriminant to x-intercepts.
5. Choosing an Appropriate Method
Learning outcomes
- I can decide whether factoring is appropriate.
- I can recognise when completing the square is useful.
- I can determine when the quadratic formula is most efficient.
- I can compare different solution methods.
- I can justify my choice of method.