6adv.MATH.3.A
Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
Grade 6 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
rational numberreciprocalequivalent valuesdivisionmultiplication
Skills
- recognize (the relationship between dividing by a rational number and multiplying by its reciprocal) #dok1
- identify (when two numerical expressions are equivalent through division by a rational number and multiplication by its reciprocal) #dok2
- explain (why dividing by a rational number is equivalent to multiplying by its reciprocal using mathematical reasoning or models) #dok3
Learning Targets
- I can recognize when dividing by a rational number is the same as multiplying by its reciprocal. #dok1
- I can identify equivalent values that result from division by a rational number and multiplication by its reciprocal. #dok2
- I can explain why division by a rational number is equivalent to multiplication by its reciprocal using models or mathematical reasoning. #dok3
Big Ideas
- Division by a rational number and multiplication by its reciprocal are two ways to obtain the same result.
- Understanding the relationship between division and multiplication helps to simplify calculations and solve mathematical problems.
Essential Questions
- How is dividing by a rational number related to multiplying by its reciprocal?
- Why do dividing by a rational number and multiplying by its reciprocal result in equivalent values?
- In what mathematical situations is it helpful to use multiplication by a reciprocal instead of division?
- How can concrete models or representations help you understand the equivalence between division and multiplication by a reciprocal?