8adv.MATH.11.B
Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
numeric expressionsalgebraic expressionslaws of exponentsintegral exponentsrational exponents
Skills
- simplify (numeric expressions using the laws of exponents, including integral and rational exponents) #dok1
- simplify (algebraic expressions using the laws of exponents, including integral and rational exponents) #dok2
- apply (laws of exponents to numerical expressions) #dok1
- apply (laws of exponents to algebraic expressions) #dok2
- explain (how laws of exponents apply to expressions with integral and rational exponents) #dok3
Learning Targets
- I can simplify numeric expressions using the laws of exponents with whole number and fractional exponents. #dok1
- I can apply the laws of exponents to simplify algebraic expressions with integral exponents. #dok2
- I can simplify algebraic expressions containing variables using the laws of exponents with rational exponents. #dok2
- I can explain why the laws of exponents work for both integral and rational exponents in expressions. #dok3
Big Ideas
- Understanding and applying the laws of exponents is essential for simplifying complex mathematical expressions.
- Both integral and rational exponents follow consistent patterns governed by the laws of exponents.
Essential Questions
- What are the laws of exponents and how do they apply to different types of exponents?
- How do you simplify expressions that involve rational exponents compared to integral exponents?
- In what situations might you use the laws of exponents to simplify algebraic or numeric expressions in mathematics or science?
- How do the rules for exponents change when extending from whole numbers to fractions?