Solving Quadratic Equations

Start with a view of the methods

The mind map “Quadratic Equation” brings together factoring, completing the square and the quadratic formula. It also includes roots and forming quadratic equations. Start here if you want to see several approaches on one map before choosing a method to study.

For a closer look at factoring, open “Solving Quadratics”. It includes an example and notes on the signs in brackets. Follow the example, then use the map to talk through the choices made at each step.

Practice and check your understanding

After looking at a method, use the flashcards from the Algebra 2 chapter test to practice factoring and solving by factoring. The checkpoint flashcards also include questions on the square root property and completing the square. Choose cards that match the method you have just studied.

The quiz “Solving Quadratic Equations” asks about zeros and points where a quadratic function intersects the x-axis. Try it after exploring the maps, then return to a map to review any ideas you want to check. You can use a map and a quiz together as a cycle: study an idea, answer questions, and go back over the relevant material.

Connect equations and functions

This topic is part of the Quadratic Equations and Functions unit in Mathematics. The “Quadratics” mind map connects roots with the line of symmetry, turning points and drawing parabolas. The notes on solving problems using quadratic equations also cover completing the square and maximum or minimum points.

These resources offer a way to move between solving equations and looking at quadratic functions within the unit. Choose a resource that fits what you are studying and explore it at your own pace.