7adv.MATH.2.B
Approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line.
Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
valueirrational numberπ (pi)square rootsnumbers less than 225rational number approximationnumber line
Skills
- approximate (value of an irrational number, including π and square roots of numbers less than 225) #dok2
- locate (rational number approximation of an irrational number on a number line) #dok2
- identify (irrational numbers and their rational approximations) #dok1
- compare (irrational numbers and their approximations) #dok2
Learning Targets
- I can identify irrational numbers, including π and square roots of numbers less than 225. #dok1
- I can approximate the value of an irrational number to a specified degree of accuracy. #dok2
- I can locate a rational number approximation of an irrational number on a number line. #dok2
Big Ideas
- Irrational numbers can be closely represented using rational number approximations.
- Placing irrational numbers on a number line helps connect abstract concepts to concrete representations.
Essential Questions
- How can you determine a rational approximation for an irrational number like π?
- Why might it be useful to approximate irrational numbers in mathematics and real life?
- How can you place an irrational number on a number line using a rational approximation?
- What makes a number irrational compared to rational numbers?
- How do square roots of numbers less than 225 illustrate the difference between rational and irrational numbers?