Unit 7 – Polynomial Equations and Factoring
Skill: I can identify the degree of a polynomial and classify it by the number of terms.
(advanced)
The student masters all of the proficient skills and can clearly explain the
difference between a polynomial and a non-polynomial.
(proficient)
The student can correctly identify polynomials, the degree of a
polynomial, and classify it by the number of terms.
(basic)
The student can sometimes identify polynomials and/or classify a
polynomial.
(minimum)
The student needs to improve on identifying polynomials and/or
classifying a polynomial.
Skill: I can add and subtract polynomials.
(advanced)
The student masters all of the proficient skills and can clearly demonstrate
and/or explain the process of finding the sum and difference of
polynomials.
(proficient)
The student can correctly find the sum and difference of polynomials.
(basic)
The student can sometimes correctly find the sum and difference of
polynomials.
(minimum)
The student needs to improve on his/ her understanding of finding the sum
and difference of polynomials.
Skill: I can multiply polynomials.
(advanced)
The student can correctly multiply polynomials using the distributive
property and combine like terms.
(basic)
The student can sometimes correctly multiply polynomials using the
distributive property.
(minimum)
The student needs to improve on his/her skills of multiplying polynomials
using the distributive property.
Skill: I can solve polynomial equations written in factored form.
(advanced)
The student shows proficiency and checks his/her solution by substituting
the value(s) of the solution(s) into the equation
(proficient)
The student correctly solves polynomial equations by using the zero
product property.
(basic)
The student sometimes correctly solves a polynomial equation.
(minimum)
The student needs to improve on his/her understanding of solving a
polynomial equation.
Skill: I can factor polynomials using the Greatest Common Factor and then solve the
polynomial by using the zero product property.
(advanced)
The student shows proficiency and checks to make sure that he/she
factored correctly by distributing the GCF and/or checks solutions by
substituting the values into the original polynomial.
(proficient)
The student can correctly factor polynomials using the Greatest Common
Factor and then solve the polynomial using the factors.
(basic)
The student can sometimes correctly factor polynomials using the Greatest
Common Factor and/or solve the polynomial using the factors.
(minimal)
The student needs to improve on the skill of correctly factoring
polynomials using the Greatest Common Factor and then solving the
polynomial using the factors.
Skill: I can factor trinomials into the product of two binomials.
(advanced)
The student shows proficiency and checks to make sure that he/she is
correct by using the distributive property to multiply the binomials to get
the original polynomial.
(proficient)
The student can correctly factor trinomials into the product of two
binomials.
(basic)
The student can sometimes correctly factor trinomials into the product of
two binomials.
(minimal)
The student needs to improve on correctly factoring trinomials into the
product of two binomials.
Skill: I can factor polynomials completely.
(advanced)
The student shows proficiency and extends his/her understanding by
checking that he/she gets the original polynomial by using the distributive
property to multiply the binomials.
(proficient)
The student can correctly factor a polynomial completely.
(basic)
The student sometimes can correctly factor the polynomial completely,
including the process of factoring by grouping.
(minimal)
The student needs to improve his/her understanding of factoring
polynomials completely, which includes factoring by grouping.