Math - 2019-20
AII.1c - Factoring Polynomials
AII.1 The student will
c) factor polynomials completely in one or two variables.
- I can design the track of a
roller coaster, determine the sloped curve of an exit ramp, trace the free
falling path of a skydiver, and
understand the mechanics of controllers like
autopilot, cruise control, and a living room thermostat.
- I will
apply mathematical processes for basic operations to algebraic expressions and
divide algebraic terms out of algebraic expressions.
UNDERSTANDING THE STANDARD
· The complete factorization of polynomials has occurred when each factor is a prime polynomial.
· Pattern recognition can be used to determine complete factorization of a polynomial.
· Polynomials may be factored in various ways, including, but not limited to grouping or applying general patterns such as difference of squares, sum and difference of cubes, and perfect square trinomials.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
· AII.1c1 Factor polynomials in one or two variables with no more than four terms completely over the set of integers. Factors of the polynomial should be constant, linear, or quadratic.
· AII.1c2 Verify polynomial identities including the difference of squares, sum and difference of cubes, and perfect square trinomials.
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