- modeling
- generalizing strategies for addition, subtraction, multiplication, and division
- analyzing
- relating to context
- comparing for equivalency.
[C, CN, R, V]
| (a) |
Model (concretely or pictorially) and describe the relationship between $x$ and $x^2$. |
| (b) |
Represent polynomials concretely or pictorially, and describe how the concrete or pictorial model reflects the symbolic form |
| (c) |
Write a polynomial for a given concrete or pictorial representation. |
| (d) |
Identify the variables, degree, number of terms, and coefficients, including the constant term, of a given simplified polynomial expression and explain the role or significance of each. |
| (e) |
Identify the type of expression that is represented by a polynomial of degree 1. |
| (f) |
Sort a set of polynomials into monomials, binomials, and trinomials. |
| (g) |
Critique the statement “A binomial can never be a degree 2 polynomial”. |
| (h) |
Write equivalent forms of a polynomial expression by interchanging terms or by decomposing terms, and justify the equivalence. |
| (i) |
Explain why terms with different variable exponents cannot be added or subtracted. |
| (j) |
Generalize, from concrete and pictorial models, and apply strategies for adding and subtracting polynomials symbolically. |
| (k) |
Verify whether or not the simplification of the addition or subtraction of two polynomials is correct and explain. |
| (l) |
Describe the relationship between multiplication of a polynomial and a monomial, and determining the area of a rectangular region. |
| (m) |
Generalize, from concrete and pictorial models, and apply strategies for multiplying a polynomial by a monomial. |
| (n) |
Generalize, from concrete and pictorial models, and apply strategies for dividing a polynomial by a monomial. |
| (o) |
Verify whether or not the simplification of the multiplication or division of a polynomial by a monomial is correct. |
