Download Scope and Sequence AM TX CCR Alg 1 Library

Scope and Sequence
AM™ TX CCR Alg 1 Library
The Accelerated Math™ Texas CCR Library 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 Texas CCR library provides the following scope and sequence of objectives
Topic 1 - Representing Linear
Functions, Equations, and
Inequalities
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WP: Determine the domain or range of
a linear function given a representative
graph
WP: Determine a reasonable domain
or range for a linear function in a given
situation
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
Determine an equation that represents
a graphed line
WP: Determine an equation
representing a direct variation
WP: Solve a direct-variation problem
Determine an equation of a line that
contains a given point and is parallel
to a given line
Determine an equation of a line that
contains a given point and is
perpendicular to a given line
Determine an equation of a line that is
parallel or perpendicular to the x- or yaxis
Determine a 2-variable linear
inequality that represents a graph
Determine a system of two linear
equations in two variables that
represents a problem relating two
numbers
Topic 2 - Graphing Linear
Functions, Equations, and
Inequalities
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Determine the slope of a line given its
graph or a graph of a line with a given
slope
Determine the slope of a line given a
table of values
Determine the slope of a line given
two points on the line
Determine the slope of a line given an
equation of the line
WP: Calculate the rate of change of a
linear function given a table
WP: Estimate the rate of change of a
linear function on a graph
Determine the graph of a linear
equation
Determine the graph of a linear
function showing its intercepts
WP: Determine the graph of a linear
function that represents a situation
Determine the effect on the graph of
the parent function f(x) = x when f(x)
is replaced by af(x), f(x) + d, f(x - c),
or f(bx) for specific values of a, b, c,
and d
Solve a system of linear equations in
two variables by graphing
WP: Estimate the solution to a system
of linear equations in two variables
using a graph
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
Topic 3 - Statistical
Relationships
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Determine the line of best fit using
linear regression for data on a scatter
plot
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R57557.150109
Scope and Sequence
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Compute the correlation coefficient of
a line of best fit
WP: Interpret the correlation
coefficient of a line of best fit
WP: Solve a problem using linear
regression and a function of best fit
Topic 4 - Solving Linear
Functions, Equations, and
Inequalities
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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
Solve a system of two linear equations
in slope-intercept form using
substitution
Solve a system of two linear equations
given in slope-intercept and standard
forms using substitution
Solve a system of linear equations in
two variables by substitution
Solve a system of two linear equations
given in standard form using
elimination
Solve a system of linear equations in
two variables by elimination
Solve a system of linear equations in
two variables by any method
Solve a number problem that can be
represented by two linear equations in
two variables
WP: Solve a problem that can be
represented by a system of linear
equations
AM™ TX CCR Alg 1 Library
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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
Topic 5 - Algebra with
Polynomials
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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
Multiply a trinomial by a binomial
Square a trinomial
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
Divide a polynomial of degree two by a
polynomial of degree one or two
Topic 6 - Representing
Quadratic Functions and
Equations
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WP: Determine a reasonable domain
or range for a quadratic function in a
given situation using a representative
graph
WP: Determine a reasonable domain
or range for a quadratic function in a
given situation
Determine the equation for a quadratic
function given the vertex and a point
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com
© 2015 Renaissance Learning, Inc. All rights reserved.
Page 2 of 5
R57557.150109
Scope and Sequence
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Determine the equation of a quadratic
function in standard form when given
the equation of a quadratic function in
vertex form
Determine a quadratic equation using
given information
Determine the quadratic function for a
given graph
Topic 7 - Graphing Quadratic
Functions and Equations
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Determine the graph of a quadratic
equation
Determine the graph of a quadratic
function showing its intercepts and
maximum or minimum
Determine the solution(s) of an
equation given in factored form
Factor a quadratic function to
determine the zeros of the function
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
Topic 8 - Solving Quadratic
Functions and Equations
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Solve a quadratic equation by taking
square roots
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
Determine a quadratic function of best
fit using quadratic regression
WP: Solve a problem using quadratic
regression and a function of best fit
AM™ TX CCR Alg 1 Library
Topic 9 - Representing
Exponential Functions and
Equations
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WP: Determine the domain or range of
an exponential function given a
representative graph
WP: Determine a reasonable domain
or range for an exponential function in
a given situation
WP: Represent a situation using a 2variable exponential equation
Determine the graph of an exponential
equation
WP: Determine the sketch of an
exponential function that represents a
situation
Determine the graph of an exponential
function showing its intercepts and end
behavior
Determine the equation of an
exponential function given a graph
Determine the equation of an
exponential function given two inputoutput pairs
WP: Represent the relationship
between two quantities with an
exponential function
Determine an exponential function of
best fit using exponential regression
WP: Solve a problem using exponential
regression and a function of best fit
Topic 10 - Properties of
Exponents and Radical
Expressions
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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 product property
to a monomial numerical expression
Apply the power of a product 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 quotient of powers property
to monomial numerical expressions
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com
© 2015 Renaissance Learning, Inc. All rights reserved.
Page 3 of 5
R57557.150109
Scope and Sequence
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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
Apply properties of exponents to
monomial algebraic expressions
Simplify a numerical expression that
includes fractional exponents
Simplify a monomial numerical
expression involving the square root of
a whole number
Add and/or subtract numerical radical
expressions
Multiply monomial numerical
expressions involving radicals
Divide monomial numerical
expressions involving radicals
Topic 11 - Representing and
Analyzing Functions and
Relations
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AM™ TX CCR Alg 1 Library
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Determine if a relation expressed as a
graph is a function
Evaluate a function written in function
notation for a given value
Determine a term of an arithmetic or
geometric sequence given a function in
recursive form
Determine a recursive formula for an
arithmetic sequence
Determine a recursive formula for a
geometric sequence
Determine an explicit formula for a
geometric sequence
Rearrange a formula to isolate a
variable of interest where the formula
is linear in that variable
Rearrange a formula to isolate a
variable of interest where the formula
is quadratic in that variable
Determine if a relation expressed as a
table is a function
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com
© 2015 Renaissance Learning, Inc. All rights reserved.
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R57557.150109
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. Twelve
Texas CCR 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
AM™ TX CCR Alg 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 TX CCR Algebra 1 Library
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com
© 2015 Renaissance Learning, Inc. All rights reserved.
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R57557.150109