ALG2.MATH.7.H
Solve equations involving rational exponents.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationsrational exponents
Skills
- solve (equations involving rational exponents) #dok2
- rewrite (equations with rational exponents to equivalent radical form) #dok2
- verify (solutions to equations with rational exponents) #dok2
- identify (extraneous solutions when solving rational exponent equations) #dok3
Learning Targets
- I can solve equations that include rational exponents. #dok2
- I can rewrite equations with rational exponents into radical form to assist in solving. #dok2
- I can check my solutions to equations with rational exponents for accuracy. #dok2
- I can identify extraneous solutions when solving equations with rational exponents. #dok3
Big Ideas
- Equations with rational exponents require specific methods to solve, often involving rewriting as radicals or applying inverse operations.
- Verifying and interpreting solutions to rational exponent equations is essential, as these may involve extraneous solutions or domain restrictions.
Essential Questions
- How can an equation with a rational exponent be rewritten to make solving easier?
- What strategies are effective when solving equations with rational exponents?
- How can I determine whether all solutions to a rational exponent equation are valid?
- Why might extraneous solutions occur when solving equations with rational exponents?
- How do rational exponent equations connect to radical equations?