Subject
Grade
Big Idea
The meanings of, and connections between, operations extend to powers, radicals, and polynomials.
Elaboration
- Sample questions to support inquiry with students:
- How are the different operations (+, -, x, ÷, exponents, roots) connected?
- What are the similarities and differences between multiplication of numbers, powers, radicals, polynomials, and rational expressions?
- How can we verify that we have factored a trinomial correctly?
- How can visualization support algebraic thinking?
- How can patterns in numbers lead to algebraic generalizations?
- When would we choose to represent a number with a radical rather than a rational exponent?
- How do strategies for factoring x2+bx+c extend to ax2 +bx + c, a≠1
- How do operations on rational numbers extend to operations with rational expressions?
keywords
connections