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Scope and Sequence
AM™ CC Grade 8 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 - The Number System
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Convert a fraction to a repeating
decimal number
Convert a repeating decimal to a
fraction or a mixed number
Evaluate the square root of a perfect
square up to 144
Evaluate the cube root of a perfect
cube up to 1000
Identify rational or irrational numbers
Approximate the location of an
irrational number on a number line
Approximate the value of an irrational
expression
Topic 2 - Expressions and
Equations
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Evaluate an integer raised to a wholenumber exponent
Evaluate an integer raised to a zero or
negative-integer power
Evaluate a fraction raised to a wholenumber exponent
Evaluate a fraction raised to a zero or
negative-integer exponent
Apply the product of powers property
to a monomial numerical expression
Apply the power of a product property
to a monomial numerical expression
Apply the power of a power property
to a monomial numerical expression
Apply the quotient of powers property
to monomial numerical expressions
Solve a simple quadratic equation
Solve a simple cubic equation
Convert a whole number greater than
10 to scientific notation
Convert a whole number greater than
10 from scientific notation to standard
form
Convert a number less than 1 to
scientific notation
Convert a number less than 1 from
scientific notation to standard form
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Represent a quantity using scientific
notation
Use scientific notation to estimate a
very large or a very small quantity
Compare two numbers written in
scientific notation
Compare the relative size of two
numbers written in scientific notation
Add or subtract numbers written in
standard form and scientific notation
Add or subtract numbers written in
scientific notation
Multiply or divide numbers written in
standard form and scientific notation
Multiply or divide numbers written in
scientific notation
WP: Add or subtract numbers written
in scientific notation
WP: Multiply or divide numbers written
in scientific notation
WP: Determine the graph of a
proportional relationship
Determine the slope between three
distinct points on the same line
Compare two proportional
relationships represented in different
ways
Determine the number of solutions for
a 1-variable linear equation
Solve a multi-step linear equation with
variables on one side of the equal sign
Solve a multi-step linear equation that
has variables on one side of the equal
sign and involves distribution
Solve a 2-step linear equation with
variables on both sides of the equal
sign
Solve a multi-step linear equation with
variables on both sides of the equal
sign
Solve a multi-step linear equation that
has variables on both sides of the
equal sign and involves distribution
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
Page 1 of 4
R56473.140114
Scope and Sequence
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Identify the number of solutions in a
system of two linear equations
represented graphically
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 two linear equations
given in standard form using
elimination
Determine the number of solutions to
a system of two linear equations by
inspection
Determine a system of two linear
equations in two variables that
represents a problem relating two
numbers
Solve a number problem that can be
represented by two linear equations in
two variables
WP: Determine a system of two linear
equations in two variables that
represents a given situation
WP: Solve a problem that can be
represented by a system of linear
equations
Topic 3 - Functions
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Determine if a relation expressed as a
table is a function
Determine if a relation expressed as a
graph is a function
Compare a linear function represented
algebraically to a linear function
represented in a graph
Compare a linear function represented
algebraically to a linear function
represented in a table
Compare a description of a linear
function to a linear function
represented algebraically
Compare a description of a linear
function to a linear function
represented in a graph
Compare a description of a linear
function to a linear function
represented in a table
Compare a linear function represented
in a table to a linear function
represented in a graph
AM™ CC Grade 8 Library
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Determine if a function is linear or
nonlinear
Determine whether a graph represents
a linear or nonlinear function
Determine whether a table represents
a linear or nonlinear function
WP: Determine the graph that models
a function given in a description
Determine the rate of change or initial
value of a function given a graph, a
table, or two (x, y) values
Determine an equation in the form y =
mx that represents a table of values
WP: Determine an equation in the
form y = mx that represents a table of
values
Determine an equation in the form y =
mx that represents a line passing
through the origin
WP: Determine an equation in the
form y = mx that represents a line
passing through the origin
Determine an equation in the form y =
mx + b that represents a table of
values
Determine an equation in the form y =
mx + b that represents a graphed line
WP: Determine an equation in the
form y = mx + b that represents a
table of values
WP: Determine an equation in the
form y = mx + b that represents a
graphed line
Topic 4 - Geometry
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Determine a sequence of
transformations that maps one figure
onto a congruent figure
Determine the coordinates of a
translated, dilated, rotated, or
reflected shape on the Cartesian plane
Determine a sequence of
transformations that maps one figure
onto a similar figure
Determine the length of the
hypotenuse of a right triangle using
the Pythagorean theorem
Determine the length of a leg of a
right triangle using the Pythagorean
theorem
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 4
R56473.140114
Scope and Sequence
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Determine the length of a side of a
right triangle using the Pythagorean
theorem, answers in radical form
WP: Find an unknown side length in a
right triangle using the Pythagorean
Theorem
Determine a distance on the Cartesian
plane using the Pythagorean theorem
Determine the volume of a cylinder
Determine the volume of a cone
Solve a problem involving the volume
of a cone or cylinder
Determine the volume of a sphere or
hemisphere
WP: Determine the volume of a
cylinder or cone
AM™ CC Grade 8 Library
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WP: Determine the volume of a sphere
or hemisphere
Topic 5 - Statistics and
Probability
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Use a scatter plot to organize data
Identify a pattern of association
between two quantities
Approximate a trend line for a scatter
plot
Use a two-way table to summarize
data on two categorical variables
collected from the same subjects
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 4
R56473.140114
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 Grade 8 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 Grade 8 Library
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
Page 4 of 4
R56473.140114