A-APR - Domain
Arithmetic with Polynomials & Rational Expressions
High School Algebra · Common Core State Standards · Common Core 2010
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
polynomialsintegersadditionsubtractionmultiplicationRemainder Theoremfactorzerospolynomial identitiesBinomial TheorempowerscoefficientsPascal’s Trianglerational expressionssystem
Skills
- Identify (parts of a polynomial) #dok1
- Recognize (closed operations of polynomials) #dok1
- Understand (Remainder Theorem) #dok1
- Identify (zeros of polynomials) #dok1
- Apply (Remainder Theorem) #dok2
- Factor (polynomials to find zeros) #dok2
- Add/subtract/multiply (polynomials and rational expressions) #dok2
- Prove (polynomial identities) #dok3
- Use (polynomial identities in problem-solving) #dok3
- Apply (Binomial Theorem) #dok3
Learning Targets
- I can identify parts of a polynomial. #dok1
- I can recognize that polynomials are closed under addition, subtraction, and multiplication. #dok1
- I can apply the Remainder Theorem to determine if a factor exists. #dok2
- I can factor polynomials to identify their zeros. #dok2
- I can perform arithmetic operations on polynomials and rational expressions. #dok2
- I can prove polynomial identities and describe their numerical relationships. #dok3
- I can use polynomial identities to solve problems. #dok3
Big Ideas
- Polynomials can be manipulated similarly to integers as they form a closed system under basic operations.
- Understanding the relationship between zeros and factors of polynomials is essential for solving polynomial equations.
Essential Questions
- What does it mean for polynomials to be closed under addition, subtraction, and multiplication?
- How can the Remainder Theorem be applied to finding factors of polynomials?
- In what ways can polynomial identities be used to solve complex problems?
- What is the significance of the Binomial Theorem in expanding polynomial expressions?
- How do we perform arithmetic operations on rational expressions?