Download Scope and Sequence Algebra 1 Second Edition Library Topic 1

Scope and Sequence
Algebra 1 Second Edition Library
The Accelerated Math™ Second Edition scope and sequence is based on extensive mathematics and
standards research and consultation from mathematics educators, mathematicians, and university
researchers. You're sure to find objectives that reinforce the skills you are teaching, regardless of
what instructional materials you use. Accelerated Math makes it easy to select and organize objectives
to suit your textbook and your own teaching approach. This Accelerated Math library provides the
following scope and sequence of objectives:
Topic 1 - Numbers and Operations
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Evaluate a numerical expression involving
multiple forms of rational numbers
Simplify a complex fraction
Evaluate a multi-step numerical expression
involving absolute value
Evaluate a fraction raised to an integer
power
Evaluate a numerical expression involving
one or more exponents and multiple forms
of rational numbers
Compare expressions involving unlike forms
of real numbers
Topic 2 - Relations and Functions
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Determine the independent or dependent
variable in a given situation
Determine if a relation is a function
Determine the domain or range of a
function
WP: Determine a reasonable domain or
range for a function in a given situation
Evaluate a function written in function
notation for a given value
Determine if a function is linear or nonlinear
Determine whether a graph or a table
represents a linear or nonlinear function
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Solve a 1-variable linear equation that
requires simplification and has the variable
on one side
Solve a 1-variable linear equation with the
variable on both sides
WP: Determine a linear equation that can
be used to solve a percent problem
Determine if a table or an equation
represents a direct variation, an inverse
variation, or neither
WP: Determine an equation representing a
direct variation or an inverse variation
WP: Solve a direct- or inverse-variation
problem
Solve a 1-variable absolute value equation
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Topic 3 - Linear Equations and
Inequalities
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v. 2.0 03/06/2009
Solve a 1-variable linear inequality with the
variable on one side
Solve a 1-variable linear inequality with the
variable on both sides
Solve a 1-variable compound inequality
Rewrite an equation to solve for a specified
variable
Determine the slope-intercept form or the
standard form of a linear equation
Determine the slope of a line given two
points on the line
Determine the slope of a line given an
equation of the line
Determine the x- or y-intercept of a line
given an equation
Determine the graph of a line using given
information
Determine the graph of a linear equation
given in slope-intercept, point-slope, or
standard form
Determine an equation of a line given the
slope and y-intercept of the line
Determine an equation that represents a
graphed line
Determine an equation for a line given the
slope of the line and a point on the line that
is not the y-intercept
Determine an equation of a line given two
points on the line
Determine if two lines are perpendicular or
parallel given the equations of the lines
Determine an equation for a line that goes
through a given point and is parallel or
perpendicular to a given line
Determine the graph of a 2-variable
absolute value equation
Solve a 2-variable linear inequality for the
dependent variable
Determine if an ordered pair is a solution to
a 2-variable linear inequality
Determine the graph of a 2-variable linear
inequality
Determine a 2-variable linear inequality
represented by a graph
 2009 Renaissance Learning, Inc.
Scope and Sequence
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Determine the graph of the solutions to a
problem that can be described by a 2variable linear inequality
Solve a 1-variable absolute value inequality
Determine the graph of a 1-variable
absolute value inequality
Topic 4 - Systems of Linear
Equations and Inequalities
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Solve a system of linear equations in two
variables by graphing
Solve a system of linear equations in two
variables by substitution
Solve a system of linear equations in two
variables by elimination
Determine the number of solutions to a
system of linear equations
Solve a system of linear equations in two
variables using any method
WP: Determine a system of linear equations
that represents a given situation
WP: Solve a mixture problem that can be
represented by a system of linear equations
WP: Solve a motion problem that can be
represented by a system of linear equations
Solve a number problem that can be
represented by a linear system of equations
Determine if a given ordered pair is a
solution to a system of linear inequalities
Determine the graph of the solution set of a
system of linear inequalities in two
variables
WP: Determine a system of linear
inequalities that represents a given
situation
WP: Determine possible solutions to a
problem that can be represented by a
system of linear inequalities
Topic 5 - Properties of Powers
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Apply the product of powers property to a
monomial numerical expression
Apply the product of powers property to a
monomial algebraic expression
Apply the power of a power property to a
monomial numerical expression
Apply the power of a power property to a
monomial algebraic expression
Apply the power of a product property to a
monomial algebraic expression
Apply the quotient of powers property to
monomial numerical expressions
Page 2 of 4
Algebra 1 Second Edition Library
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Apply the quotient of powers property to
monomial algebraic expressions
Apply the power of a quotient property to
monomial algebraic expressions
Compare monomial numerical expressions
using the properties of powers
Apply properties of exponents to monomial
algebraic expressions
Topic 6 - Polynomial Expressions
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Apply terminology related to polynomials
Simplify a polynomial expression by
combining like terms
Add polynomial expressions
Subtract polynomial expressions
Multiply a polynomial by a monomial
Multiply two binomials of the form (x +/a)(x +/- b)
Multiply two binomials of the form (ax +/b)(cx +/- d)
Multiply two binomials of the form (ax +/by)(cx +/- dy)
Square a binomial
Multiply two nonlinear binomials
Multiply a trinomial by a binomial
Topic 7 - Factor Algebraic
Expressions
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Factor the GCF from a polynomial
expression
Factor trinomials that result in factors of
the form (x +/- a)(x +/- b)
Factor trinomials that result in factors of
the form (ax +/- b)(cx +/- d)
Factor trinomials that result in factors of
the form (ax +/- by)(cx +/- dy)
Factor the difference of two squares
Factor a perfect-square trinomial
Factor a polynomial that has a GCF and two
linear binomial factors
Topic 8 - Quadratic Equations and
Functions
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v. 2.0 03/06/2009
Determine the graph of a given quadratic
function
WP: Answer a question using the graph of a
quadratic function
Solve a quadratic equation by graphing the
associated quadratic function
Solve a quadratic equation by taking the
square root
 2009 Renaissance Learning, Inc.
Scope and Sequence
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Determine the solution(s) of an equation
given in factored form
Solve a quadratic equation by factoring
Solve a quadratic equation using the
quadratic formula
Use the discriminant to determine the
number of real solutions
WP: Use a given quadratic equation to
solve a problem
Topic 11 - Radical Equations and
Functions
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Topic 9 - Exponential Equations
and Functions
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Determine the graph of an exponential
function
WP: Evaluate an exponential growth or an
exponential decay function
Solve a problem involving exponential
growth or exponential decay
Topic 10 - Radical Expressions
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Simplify a monomial numerical expression
involving the square root of a whole
number
Multiply monomial numerical expressions
involving radicals
Divide monomial numerical expressions
involving radicals
Add and/or subtract numerical radical
expressions
Multiply a binomial numerical radical
expression by a numerical radical
expression
Rationalize the denominator of a numerical
radical expression
Simplify a monomial algebraic radical
expression
Rationalize the denominator of an algebraic
radical expression
Add or subtract algebraic radical
expressions
Multiply monomial algebraic radical
expressions
Divide monomial algebraic radical
expressions
Page 3 of 4
Algebra 1 Second Edition Library
Solve a radical equation that leads to a
linear equation
Solve a radical equation that leads to a
quadratic equation
Determine the graph of a radical function
WP: Solve a problem involving a radical
function
Topic 12 - Rational Expressions
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Determine the excluded values of a rational
algebraic expression
Simplify a rational expression involving
polynomial terms
Multiply rational expressions
Divide rational expressions
Divide a polynomial expression by a
monomial
Divide a polynomial expression by a
binomial
Determine the LCD of two rational
expressions
Add or subtract two rational expressions
with like denominators
Add or subtract two rational expressions
with unlike monomial denominators
Add or subtract two rational expressions
with unlike polynomial denominators
Topic 13 - Rational Equations and
Functions
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v. 2.0 03/06/2009
Solve a proportion that generates a linear
or quadratic equation
Solve a rational equation involving terms
with monomial denominators
Solve a rational equation involving terms
with polynomial denominators
Determine the graph of a rational function
WP: Solve a problem involving a rational
equation
 2009 Renaissance Learning, Inc.
Scope and Sequence
Accelerated Math Libraries include an
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Algebra 1 Second Edition Library
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Accelerated Math Second Edition Algebra 1
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Page 4 of 4
v. 2.0 03/06/2009
 2009 Renaissance Learning, Inc.