ALG1.MATH.8.A
Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.
Algebra I · 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. #dok2
- I can solve quadratic equations by taking square roots. #dok2
- I can solve quadratic equations using the quadratic formula. #dok2
- I can solve quadratic equations by completing the square. #dok3
- I can evaluate if a solution to a quadratic equation is reasonable in context. #dok3
Big Ideas
- There are multiple methods for solving quadratic equations, and the situation determines which strategy is most efficient.
- Real solutions found by different methods should be checked for reasonableness in context.
Essential Questions
- What are the different methods for solving quadratic equations, and how do you choose which method to use?
- How can you determine if a quadratic equation has real solutions?
- How do the solutions obtained by factoring, square roots, completing the square, and the quadratic formula compare?
- How can you check whether your solutions make sense in a real-world context?
- Why is it important to verify the reasonableness of your solutions after solving quadratic equations?