PC.1.11.C Learning Intentions
Academic Language & Notes
Success Criteria
Resources
Content: I am learning to rewrite the repeated product of binomials using the binomial theorem.
Practice Skill 1.B: Express functions, equations, or expressions in analytically equivalent forms that are useful in a given mathematical or applied context.
Practice Skill 3.B: Apply numerical results in a given mathematical or applied context.
Notes: Partial fraction decomposition is not included in this course. Synthetic division is not required as part of polynomial long division.
Textbook Correlation Here
Sample Activity:
Students are presented with a nonconstant polynomial or rational function in analytical representations, and they then translate the expression into a variety of representations: constructing a graph, writing the expression as a product of linear factors (x − a) when possible, and verbally describing characteristics such as real zeros, x-intercepts, asymptotes, and holes. Then have students check their graphs using technology.
Sample Activity:
Students are given statements and need to classify each statement as whether the statement is always true, sometimes true, or never true. They should justify or explain their choices. Sample statements include: “The graphs of all rational functions have a horizontal asymptote,” “If f (1) < 0 and f (3) > 0, the polynomial function f must have a zero between x = 1 and x = 3,” and “The graphs of rational functions have holes and vertical asymptotes.”