Download Grade 7 - Renaissance Learning

Scope and Sequence
AM™ CC Grade 7 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 - Ratios and
Proportional Relationships
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Compute the unit rate associated with
a ratio of fractions
Relate the graph of a proportional
relationship to a table
Determine if two quantities are in a
proportional relationship using a table
or a graph
Identify the constant of proportionality
from a table
Identify the constant of proportionality
from a graph
Identify the constant of proportionality
from an equation
Determine the constant of
proportionality between the legs of
a right triangle
WP: Identify the constant of
proportionality
Determine an equation that represents
a proportional relationship
Solve a problem involving equivalent
ratios
Solve a multi-step problem involving
sales tax and a discount or a price
increase
Determine the percent of change
applied to a number
Determine the result of applying a
percent of change to a value
Solve a problem involving simple
interest
WP: Solve a multi-step problem given
a part-to-whole ratio
WP: Solve a multi-step problem given
a part-to-part ratio
WP: Solve a multi-step ratio problem
WP: Solve a multi-step problem
involving sales tax and a discount or a
price increase
WP: Determine the percent of change
applied to a number
WP: Determine the result of applying a
percent of change to a value
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WP: Solve a multi-step problem
involving a percent of change applied
to two different values
WP: Find the result of two consecutive
percentage changes applied to a given
number
WP: Solve a problem involving simple
interest
Topic 2 - The Number System
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Determine a situation in which
opposite quantities combine to make 0
Demonstrate understanding of the
concept of additive inverse using a
number line
Add integers using a number line
Subtract integers using a number line
Determine the distance between two
rational numbers on a number line
WP: Determine the distance between
two rational numbers on a number line
Add integers
Add signed fractions or mixed numbers
Add signed decimals
Subtract integers
Subtract signed fractions or mixed
numbers
Subtract signed decimals
Determine an equivalent form of a
signed fraction
Multiply integers
Multiply signed fractions or mixed
numbers
Multiply signed decimals
Multiply three integers
Divide integers
Divide signed fractions or mixed
numbers
Divide signed decimals
Convert a rational number to a
decimal number
Simplify an expression containing a
fraction bar
Simplify a complex fraction
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2015 Renaissance Learning, Inc. All rights reserved.
Page 1 of 4
R56472.150218
Scope and Sequence
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Simplify an expression containing
complex fractions
WP: Multiply or divide a decimal
number by a decimal number
WP: Add or subtract integers
WP: Multiply or divide integers
WP: Solve a problem with rational
numbers involving any of the four
operations
WP: Answer a question involving a
fraction and a percent
WP: Answer a question involving a
fraction and a decimal
Topic 3 - Expressions and
Equations
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Add or subtract to simplify a linear
expression with rational coefficients
Expand a linear expression with
rational coefficients
Factor a linear expression with rational
coefficients
Evaluate an algebraic expression with
one variable and two or three
operations, using integer substitution
Evaluate an algebraic expression with
two variables and two or three
operations, using integer substitution
Simplify an expression involving
nested parentheses and integers
Simplify an expression involving
nested parentheses, integers, and
decimal numbers
WP: Solve a 2-step problem involving
integers
WP: Solve a multi-step problem
involving decimal numbers
WP: Solve a multi-step problem
involving fractions or mixed numbers
WP: Solve a multi-step problem
involving integers
WP: Solve a multi-step problem
involving different forms of rational
numbers
Solve a 2-step linear equation
involving fractions
Solve a 2-step linear equation
involving decimals
Solve a 2-step linear equation
involving integers
AM™ CC Grade 7 Library
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WP: Use a 1-variable equation with
rational coefficients to represent a
situation involving two operations
WP: Solve a problem involving a 1variable, 2-step equation
WP: Use a 1-variable linear inequality
to represent a situation
WP: Use a 2-step linear inequality with
one variable to represent a situation
Determine the graph of the solution
set of a 1-step linear inequality
involving integers
Determine the graph of the solution
set of a 1-step linear inequality
involving decimals
Determine the graph of the solution
set of a 1-step linear inequality
involving fractions
Determine the graph of the solution
set of a 2-step linear inequality
involving integers
Determine the graph of the solution
set of a 2-step linear inequality
involving decimals
Determine the graph of the solution
set of a 2-step linear inequality
involving fractions
WP: Solve a problem involving a 2step linear inequality with one variable
Topic 4 - Geometry
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Determine a dimension in a rescaled
drawing of a geometric figure
Determine a length in a geometric
figure based on a scale drawing
Use the ratio of two lengths within a
scale drawing to determine a length in
a geometric figure
Determine the area of a geometric
figure based on a scale drawing
Determine the ratio that relates the
area of a scale drawing to the area of
a geometric figure
Identify when given conditions
determine 1 unique triangle, more
than one triangle, or no triangle
Identify a cross section of a 3dimensional shape
Determine the area or circumference
of a circle in terms of pi
Determine the area or circumference
of a circle using 3.14 for pi
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2015 Renaissance Learning, Inc. All rights reserved.
Page 2 of 4
R56472.150218
Scope and Sequence
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WP: Determine the area or
circumference of a circle using 3.14 for
pi
Solve a problem involving the area or
circumference of a circle
Relate the circumference of a circle to
the area of the circle
Identify an equation for the measure
of an unknown angle in a geometric
figure
Determine the measure of a
complementary, a supplementary, or a
vertical angle
Determine the missing angle measure
in a triangle given two other angle
measures
Determine the missing angle measure
in a quadrilateral given three other
angle measures
Determine the missing angle measure
in a geometric figure containing
overlapping triangles
Solve a problem involving the area of
a 2-dimensional shape
Determine the area of shapes
composed of triangles and
quadrilaterals
WP: Determine the area of shapes
composed of triangles and
quadrilaterals
Determine the surface area of a 3dimensional shape made from cubes
Determine the volume of a 3dimensional shape made from cubes
AM™ CC Grade 7 Library
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Determine the surface area of a right
prism
Determine the volume of a right prism
Solve a problem involving the volume
of a right prism
WP: Determine the surface area of a
right prism
WP: Determine the volume of a
geometric solid composed of right
prisms
Topic 5 - Statistics and
Probability
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Use a proportion to make an estimate,
related to a population, based on a
sample
Determine the likelihood of an event
given its probability
Determine an experimental probability
given a list of results
Make a prediction based on an
experimental probability
Compare observed frequencies of an
event to its theoretical probability in
an experiment
Determine a probability model for
experimental results
Determine all possible outcomes of a
compound event using a list or a tree
diagram
Identify the outcomes within a sample
space that compose a compound event
Find the probability of a compound
event
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2015 Renaissance Learning, Inc. All rights reserved.
Page 3 of 4
R56472.150218
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 7 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 7 Library
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2015 Renaissance Learning, Inc. All rights reserved.
Page 4 of 4
R56472.150218