Download Scope and Sequence AM CC Algebra 1 Library

Scope and Sequence
AM™ CC Algebra 1 Library
The Accelerated Math™ 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 - Relationships between
Quantities and Reasoning with
Equations
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Determine the units of a quantity in a
formula
WP: Determine the process for solving
a multi-step problem using the units
involved
Solve a 1-variable linear equation
Solve a multi-step 1-variable linear
inequality with the variable on one
side of the inequality sign that involves
the commutative and associative
properties
Solve a multi-step 1-variable linear
inequality with the variable on one
side of the inequality sign that involves
the distributive, commutative, and
associative properties
Solve a multi-step 1-variable linear
inequality with the variable on both
sides of the inequality sign that
involves the commutative and
associative properties
Solve a multi-step 1-variable linear
inequality with the variable on both
sides of the inequality sign that
involves the distributive, commutative,
and associative properties
Rewrite a linear equation in slopeintercept form
Rearrange a formula to isolate a
variable of interest where the formula
is linear in that variable
Identify the property that justifies a
step when solving a linear equation
WP: Represent a situation using a 1variable linear equation
WP: Solve a problem that can be
represented by a 1-variable linear
equation
Solve a 1-variable absolute value
equation
Solve a 1-variable absolute value
inequality
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WP: Represent a situation using a
linear equation with two or more
variables
Determine the graph of a linear
equation
WP: Represent a situation using a 1variable exponential equation
WP: Solve a problem that can be
represented by a 1-variable
exponential equation
WP: Represent a situation using a 2variable exponential equation
Determine the graph of an exponential
equation
Topic 2 - Linear and
Exponential Relationships
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Apply the product of powers property
to a monomial algebraic 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 algebraic expressions
Apply the power of a quotient property
to monomial algebraic expressions
Apply properties of exponents to
monomial algebraic expressions
Convert between radical notation and
rational exponent notation
Simplify a numerical expression that
includes fractional exponents
Simplify a monomial numerical
expression involving the square root of
a whole number
Simplify a monomial algebraic radical
expression
Add and/or subtract numerical radical
expressions
Add or subtract algebraic radical
expressions
Multiply monomial numerical
expressions involving radicals
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
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R56474.140114
Scope and Sequence
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Multiply monomial algebraic radical
expressions
Divide monomial numerical
expressions involving radicals
Divide monomial algebraic radical
expressions
Solve a system of linear equations in
two variables by graphing
Solve a system of linear equations in
two variables by elimination
Solve a system of linear equations in
two variables by substitution
Solve a system of linear equations in
two variables by any method
Determine the graph of a 2-variable
linear inequality
Determine the graph of the solution
set of a system of linear inequalities in
two variables
WP: Determine a system of linear
equations that can represent a given
situation
WP: Determine a system of linear
inequalities that can represent 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
Evaluate a function for a given input
Interpret a statement that uses
function notation
WP: Determine the graph of a linear
function that represents a situation
WP: Determine the sketch of an
exponential function that represents a
situation
WP: Determine the domain of a linear
or exponential function given a
representative graph
WP: Determine a reasonable domain
for a linear or exponential function in a
given situation
WP: Calculate the rate of change of a
linear function given a table
WP: Calculate the average rate of
change of an exponential function over
a specified interval given a table or an
equation
AM™ CC Algebra 1 Library
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WP: Estimate the rate of change of a
linear function or the average rate of
change of an exponential function over
a specified interval on a graph
Determine the graph of a linear
function showing its intercepts
Determine the graph of an exponential
function showing its intercepts and end
behavior
Compare the properties of two linear
or exponential functions
WP: Determine a linear or exponential
function for a given situation
WP: Determine a recursive process for
calculating the values in a situation
that leads to a linear or exponential
function
WP: Determine the steps for
calculating the values for a situation
that leads to a linear or exponential
function
Combine linear and/or exponential
functions using addition or subtraction
WP: Combine linear and/or
exponential functions using addition or
subtraction
Determine a recursive formula for an
arithmetic sequence
Determine an explicit formula for an
arithmetic sequence given the first
term and the common difference
Determine a recursive formula for a
geometric sequence
Determine an explicit formula for a
geometric sequence
Translate between a recursive and an
explicit formula for a sequence
WP: Represent a situation involving a
sequence using an arithmetic or
geometric formula
Determine the effect of replacing f(x)
with f(x) + k on the graph of a linear
or exponential function
Determine the linear or exponential
function resulting from a
transformation given the parent
function and graphs of the parent and
transformed functions
Identify a situation that can be
modeled by a linear function
Determine an equation that represents
a graphed line
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
Page 2 of 5
R56474.140114
Scope and Sequence
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Determine the equation of a line in
slope-intercept form given the slope
and y-intercept
Determine an equation of a line in
point-slope form given the slope and a
point on the line that is not the yintercept
Determine an equation of a line in
various forms given two points on the
line
Determine an equation of a line in
slope-intercept form given two nonintercept points on the line
Identify a situation that can be
modeled by an exponential function
Determine the equation of an
exponential function given a graph
WP: Represent the relationship
between two quantities with an
exponential function
Determine the equation of an
exponential function given two inputoutput pairs
Topic 3 - Descriptive Statistics
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Represent data using a dot plot
Represent data using a histogram
Represent data involving an outlier
using a box plot
WP: Compare differences in data given
two box plots
Represent categorical data using a
two-way frequency table
Recognize possible associations and
trends in data summarized in a twoway frequency table
Represent data from a table using a
scatter plot
Determine the line of best fit using
linear regression for data on a scatter
plot
Compute the correlation coefficient of
a line of best fit
WP: Interpret the correlation
coefficient of a line of best fit
Determine the type of function that
best fits data on a scatter plot
WP: Solve a problem using linear
regression and a function of best fit
Determine a residual plot for a given
linear function of best fit
AM™ CC Algebra 1 Library
Topic 4 - Expressions and
Equations
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Add quadratic polynomials
Subtract quadratic polynomials
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
Factor the GCF from a quadratic
expression
Factor a quadratic expression that
results in factors of the form (x +/a)(x +/- b)
Factor a quadratic expression that
results in factors of the form (ax +/b)(cx +/- d)
Factor a quadratic expression that
results in factors of the form (ax +/by)(cx +/- dy)
Factor a perfect-square trinomial
Factor the difference of two squares
Factor a quadratic expression that has
a GCF and two linear binomial factors
Solve a quadratic equation that can be
written in x^2 = b form and has
rational solutions, no solution, or nonsimplified radical solutions
Solve a quadratic equation that can be
written in x^2 = b form and has a
simplified radical solution or no
solution
Solve a quadratic equation by taking
square roots
Determine the solution(s) of an
equation given in factored form
Solve a quadratic equation by
factoring
Determine the value needed to make a
quadratic expression a perfect square
trinomial
Determine an expression of the form
(x + b)^2 + c that is equivalent to the
given expression
Solve a quadratic equation by
completing the square
Solve a quadratic equation using the
quadratic formula
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
Page 3 of 5
R56474.140114
Scope and Sequence
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Rearrange a formula to isolate a
variable of interest where the formula
is quadratic in that variable
WP: Represent a situation using a 1variable quadratic equation
WP: Solve a problem that can be
represented by a 1-variable quadratic
equation
WP: Represent a situation using a 2variable quadratic equation
Determine a quadratic equation using
given information
Determine the graph of a quadratic
equation
Determine the solution(s) to a system
of equations represented graphically,
consisting of a linear equation and an
equation in quadratic form
Determine the solution(s) to a system
of equations consisting of a linear
equation and an equation in quadratic
form algebraically
Topic 5 - Quadratic Functions
and Modeling
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WP: Determine the graph of a
quadratic function that represents a
situation
WP: Determine a reasonable domain
for a quadratic function in a given
situation using a representative graph
WP: Determine a reasonable domain
for a quadratic function in a given
situation
WP: Calculate the average rate of
change of a quadratic function over a
specified interval given a table or an
equation
WP: Estimate the average rate of
change of a quadratic function over a
specified interval given a graph
AM™ CC Algebra 1 Library
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Determine the graph of a quadratic
function showing its intercepts and
maximum or minimum
Factor a quadratic function to
determine the zeros of the function
Complete the square of a quadratic
function to determine the vertex
Determine the quadratic function for a
given graph
Determine the graph of a piecewisedefined function
Determine the graph of a step function
Determine the graph of a 2-variable
absolute value equation
Compare the properties of two
quadratic functions, each represented
in a different way
WP: Represent a situation using a
quadratic function
WP: Determine a recursive process for
calculating the values in a situation
that leads to a quadratic function
Combine a quadratic function with a
linear or a quadratic function using
addition or subtraction
WP: Combine a quadratic function with
a linear or a quadratic function using
addition or subtraction
Determine the effect of replacing f(x)
with f(x) + k or f(x + k) on the graph
of a quadratic function
Determine the effect of replacing f(x)
with kf(x) or f(kx) on the graph of a
quadratic function
Determine the quadratic function
resulting from a transformation given
the parent function and graphs of the
parent and transformed functions
Determine the equation of the inverse
of a linear function
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
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R56474.140114
Scope and Sequence
Accelerated Math Libraries include an almost
unlimited supply of dynamic algorithm-generated
problems for both assisted-response (multiplechoice) and free-response assignments. Twenty
libraries are available:
Kindergarten
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Algebra 1
Algebra 2
Geometry
Math 1
Math 2
Math 3
Probability & Statistics
Pre-Calculus
Calculus
Financial Literacy Math 1
Financial Literacy Math 2
AM™ CC Algebra 1 Library
Please call us toll-free at 1-800-338-4204 to order
this Accelerated Math library or to request the
Scope and Sequence for other libraries.
Accelerated Math Library
AM CC Algebra 1 Library
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
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R56474.140114