Introductory_Algebra_1B_-_course_standards
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This document outlines the units, lessons, and standards covered in an Introductory Algebra 1B course. The course covers exponents, monomials, polynomials, factoring polynomials, quadratic equations, functions, rational and radical expressions/equations, transformations, and probability. Key standards addressed include evaluating and simplifying algebraic expressions, factoring quadratic expressions, solving algebraic equations and functions, working with quadratic functions and the quadratic formula, and performing transformations and calculating probabilities.
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Benchmark# Description Idea/Standard Subject Grade
Body Of
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MAFS.912.A-
APR.1.1
Understand that polynomials form a system
analogous to the integers, namely, they are
closed under the operations of addition,
subtraction, and multiplication; add, subtract,
and multiply polynomials.
Perform arithmetic
operations on
polynomials. (Algebra
1 - Major Cluster)
Mathematics 912 Algebra:
Arithmetic
with
Polynomials
& Rational
Expressions
Click Here
MAFS.912.A-
APR.2.2
Know and apply the Remainder Theorem: For a
polynomial p(x) and a number a, the remainder
on division by x – a is p(a), so p(a) = 0 if and
only if (x – a) is a factor of p(x).
Understand the
relationship between
zeros and factors of
polynomials. (Algebra
1 - Supporting Cluster)
(Algebra 2 - Major
Cluster)
Mathematics 912 Algebra:
Arithmetic
with
Polynomials
& Rational
Expressions
Click Here
MAFS.912.A-
APR.2.3
Identify zeros of polynomials when suitable
factorizations are available, and use the zeros to
construct a rough graph of the function defined
by the polynomial.
Understand the
relationship between
zeros and factors of
polynomials. (Algebra
1 - Supporting Cluster)
(Algebra 2 - Major
Cluster)
Mathematics 912 Algebra:
Arithmetic
with
Polynomials
& Rational
Expressions
Click Here
MAFS.912.A-
APR.3.4
Prove polynomial identities and use them to
describe numerical relationships. For example,
the polynomial identity (x² + y²)² = (x² – y²)² +
(2xy)² can be used to generate Pythagorean
triples.
Use polynomial
identities to solve
problems. (Algebra 2 -
Additional Cluster)
Mathematics 912 Algebra:
Arithmetic
with
Polynomials
& Rational
Expressions
Click Here
MAFS.912.A-
APR.3.5
Know and apply the Binomial Theorem for the
expansion of
(xError! Cannot ...
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