6.MATH.3.A
Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
Grade 6 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
dividingrational numbermultiplyingreciprocalequivalent values
Skills
- recognize (when dividing by a rational number is equivalent to multiplying by its reciprocal) #dok2
- demonstrate (the process of multiplying by a reciprocal to determine equivalence) #dok2
- explain (why division by a rational number is equivalent to multiplication by its reciprocal) #dok3
- apply (the concept to solve problems involving division of rational numbers) #dok3
Learning Targets
- I can identify the reciprocal of a given rational number. #dok1
- I can describe what it means to divide by a rational number and to multiply by its reciprocal. #dok2
- I can determine if two mathematical expressions are equivalent when using division and multiplication by reciprocals. #dok2
- I can justify why dividing by a rational number gives the same result as multiplying by its reciprocal. #dok3
- I can solve real-world and mathematical problems by choosing to divide by a rational number or multiply by its reciprocal. #dok3
Big Ideas
- Dividing by a rational number is always the same as multiplying by its reciprocal.
- Understanding the relationship between division and multiplication by reciprocals helps solve complex problems more efficiently.
Essential Questions
- What is a reciprocal, and how do you find it for any rational number?
- Why does dividing by a rational number produce the same result as multiplying by its reciprocal?
- How can you demonstrate the equivalence of dividing and multiplying by a reciprocal using examples?
- In what situations might you choose to multiply by a reciprocal instead of dividing?
- How does understanding reciprocals help in simplifying and solving mathematical problems?