Math - 2019-20

A.2c - Factoring Polynomials

A.2  The student will perform operations on polynomials, including

c)  factoring completely first- and second-degree binomials and trinomials in one variable.



Adopted: 2016

BIG IDEAS

  • I can design the track of a roller coaster, determine the sloped curve of an exit ramp, 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

2016 VDOE Curriculum Framework - AI.2 Understanding

·  Factoring reverses polynomial multiplication.

·  Trinomials may be factored by various methods including factoring by grouping.

­  Example of factoring by grouping
2x2 + 5x – 3
2x2 + 6xx – 3
2x(x + 3) – (x + 3)
(x + 3)(2x – 1)

·  Prime polynomials cannot be factored over the set of integers into two or more factors, each of lesser degree than the original polynomial.


ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

·  A.2cFactor completely first- and second-degree polynomials in one variable with integral coefficients. After factoring out the greatest common factor (GCF), leading coefficients should have no more than four factors.

·  A.2cFactor and verify algebraic factorizations of polynomials with a graphing utility.

KEY VOCABULARY

monomial expression, ratio, exponents, integers, sums, difference, product, quotient, polynomial, operations, concrete, pictorial, factors, factor, binomial, divisor, degree, integral coefficients, prime, x-intercepts, graphical representation

2016 Word Wall Cards

Updated: Jul 30, 2019