8adv.MATH.8.A
Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
quadratic equationsreal solutionsfactoringsquare rootscompleting the squarequadratic formula
Skills
- solve (quadratic equations by factoring) #dok2
- solve (quadratic equations by taking square roots) #dok2
- solve (quadratic equations by completing the square) #dok3
- solve (quadratic equations by applying the quadratic formula) #dok2
- evaluate (reasonableness of solutions to quadratic equations) #dok3
Learning Targets
- I can solve quadratic equations by factoring to find real solutions. #dok2
- I can solve quadratic equations by taking square roots to find real solutions. #dok2
- I can solve quadratic equations by applying the quadratic formula. #dok2
- I can solve quadratic equations by completing the square. #dok3
- I can determine which method is most appropriate for solving a given quadratic equation. #dok3
- I can evaluate if the solutions to a quadratic equation are reasonable in a given context. #dok3
Big Ideas
- There are multiple methods to solve quadratic equations, each appropriate for different forms of equations.
- Understanding and applying the correct solution method ensures accuracy in finding real solutions to quadratic equations.
Essential Questions
- How do you know which method to use when solving a quadratic equation?
- What does it mean for a solution to a quadratic equation to be 'real'?
- Why is it important to check the reasonableness of the solutions you find?
- How do the different methods for solving quadratic equations connect to each other?
- What types of real-world problems can be solved using quadratic equations?