ALG2.MATH.7.F
Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
sumdifferenceproductquotientrational expressionsintegral exponentsdegree onedegree two
Skills
- find the sum of rational expressions with integral exponents of degree one and of degree two #dok2
- find the difference of rational expressions with integral exponents of degree one and of degree two #dok2
- find the product of rational expressions with integral exponents of degree one and of degree two #dok2
- find the quotient of rational expressions with integral exponents of degree one and of degree two #dok2
- simplify rational expressions with integral exponents of degree one and of degree two #dok2
Learning Targets
- I can define rational expressions, exponents, and polynomial degrees. #dok1
- I can identify rational expressions of degree one and degree two. #dok1
- I can compute the sum of rational expressions with integral exponents. #dok2
- I can compute the difference of rational expressions with integral exponents. #dok2
- I can compute the product of rational expressions with integral exponents. #dok2
- I can compute the quotient of rational expressions with integral exponents. #dok2
- I can simplify rational expressions to lowest terms. #dok2
- I can justify each step taken when performing operations with rational expressions. #dok3
- I can explain how operations with rational expressions are similar to operations with fractions. #dok3
- I can solve real-world problems using operations with rational expressions. #dok3
Big Ideas
- Rational expressions can be manipulated using addition, subtraction, multiplication, and division, similar to operations with numerical fractions.
- Understanding operations on rational expressions with integral exponents and degrees one and two builds foundational algebra skills for more complex mathematical reasoning.
Essential Questions
- What steps are involved in adding, subtracting, multiplying, and dividing rational expressions?
- How do the degrees and exponents of polynomials affect the operations on rational expressions?
- How are operations on rational expressions similar to operations with numerical fractions?
- What strategies can be used to simplify rational expressions resulting from various operations?
- How can understanding operations with rational expressions help solve real-world problems?