Grade 5 - Renaissance

Scope and Sequence
AM™ TX CCR Gr 5 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 - Number and
Operations: Place Value
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Determine the decimal number
through thousandths when given its
expanded form
Determine the decimal number
through thousandths represented in
expanded form using powers of ten
Represent a decimal number in
expanded form
Compare two decimal numbers
through thousandths
Compare two decimal numbers
through thousandths represented in
expanded form
Order decimal numbers through the
hundredths place
Order decimal numbers through the
thousandths place
Round a decimal number to a specified
place through hundredths
Topic 2 - Number and
Operations: Positive Rational
Number Computations
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WP: Estimate a sum or difference of
two 3- or 4-digit whole numbers using
any method
WP: Estimate the solution to a 2-step
problem
WP: Estimate a sum or difference of
two fractions using benchmark
numbers
Add two or more decimal numbers of
differing places to thousandths
Subtract two decimal numbers of
differing places to thousandths
WP: Add or subtract decimal numbers
through thousandths
WP: Add or subtract a decimal number
through thousandths and a whole
number
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Estimate the sum of two decimal
numbers through thousandths and less
than 1 by rounding to a specified place
Estimate the difference of two decimal
numbers through thousandths and less
than 1 by rounding to a specified place
WP: Estimate the sum or difference of
two decimal numbers through
thousandths using any method
Multiply a 3-digit whole number by a
2-digit whole number
WP: Multiply a 3-digit whole number
by a 2-digit whole number
Divide a 3- or 4-digit whole number by
a 2-digit whole number, with no
remainder and no zeros in the quotient
Divide a 3- or 4-digit whole number by
a 2-digit whole number, with a
remainder and no zeros in the quotient
Divide a 3- or 4-digit whole number by
a 2-digit whole number, with no
remainder and at least one zero in the
quotient
Divide a 3- or 4-digit whole number by
a 2-digit whole number, with a
remainder and at least one zero in the
quotient
Divide a 3- or 4-digit whole number by
a 2-digit whole number and express
the quotient as a mixed number
WP: Divide a whole number of up to 4digits by a 2-digit whole number, with
no remainder
WP: Divide a whole number of up to 4digits by a 2-digit whole number and
interpret the remainder
Relate multiplication of a decimal
number through tenths by a whole
number to a model
Relate multiplication of a decimal
number through tenths by a decimal
number through tenths to a model
Multiply a decimal number through
hundredths by a 1-digit whole number
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R57553.140425
Scope and Sequence
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Multiply a decimal number through
hundredths by a 2-digit whole number
WP: Multiply a money amount by a 1digit number
Relate division of a whole number by a
decimal number through tenths to a
model
Relate division of a decimal number
through tenths to a model
Divide a decimal number through
hundredths by a 1- or 2-digit whole
number
WP: Divide a money amount by a 1digit number
Estimate the product or quotient of
two decimals
WP: Estimate a product or quotient
involving decimals
Represent addition or subtraction of
fractions with unequal denominators
referring to the same whole using a
model
Add fractions with unlike denominators
using a model and do not simplify the
sum
Subtract fractions with unlike
denominators using a model and do
not simplify the difference
Multiply a whole number by a unit
fraction using a model
Relate multiplication of a proper
fraction by a whole number to a model
Relate the product of a fraction and a
whole number to a model
Divide a whole number by a unit
fraction using a model
Add mixed numbers with like
denominators and simplify the sum
Subtract mixed numbers with like
denominators and simplify the
difference
WP: Add mixed numbers with like
denominators and simplify the sum
WP: Subtract mixed numbers with like
denominators and simplify the
difference
Add two fractions with unlike
denominators of 10 and 100 using
equivalent fractions
Add fractions with unlike denominators
that have factors in common
AM™ TX CCR Gr 5 Library
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Add fractions with unlike denominators
that have factors in common and
simplify the sum
Add fractions with unlike denominators
that have no factors in common
Subtract fractions with unlike
denominators that have factors in
common
Subtract fractions with unlike
denominators that have factors in
common and simplify the difference
Subtract fractions with unlike
denominators that have no factors in
common
Add mixed numbers with unlike
denominators and simplify the sum
Subtract mixed numbers with unlike
denominators and simplify the
difference
Add two mixed numbers with unlike
denominators or a mixed number to a
fraction with unlike denominators and
simplify the sum
Subtract two mixed numbers with
unlike denominators or subtract a
fraction from a mixed number with
unlike denominators and simplify the
difference
WP: Add or subtract fractions with
unlike denominators that have no
factors in common
WP: Add or subtract fractions with
unlike denominators and simplify the
sum or difference
Divide a unit fraction by a non-zero
whole number
Divide a whole number by a unit
fraction
WP: Divide a unit fraction by a nonzero whole number
WP: Divide a whole number by a unit
fraction
Topic 3 - Number and
Operations: Algebraic
Reasoning
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Determine if a whole number up to
100 is prime or composite
WP: Represent a situation using an
equation with a letter standing for the
unknown quantity
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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R57553.140425
Scope and Sequence
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WP: Solve a 2-step problem involving
addition and/or subtraction of multidigit whole numbers
WP: Solve a multi-step problem with
whole numbers involving the four
operations
Generate a numerical pattern and
graph when given a rule in the form y
= ax, y = x + a, or y = x - a
Evaluate a numerical expression of two
operations with parentheses, using
order of operations
Evaluate a numerical expression of
three operations with parentheses,
using order of operations
Evaluate a numerical expression of
four or more operations with
parentheses, using order of operations
Solve a problem involving rectangles
with the same area and different
perimeters
Solve a problem involving rectangles
with the same perimeter and different
areas
Determine a method for finding the
perimeter of a shape given the side
lengths
Determine the perimeter of a polygon
Determine the perimeter of a complex
shape
Determine the area of a complex
shape formed by rectangles
Topic 4 - Geometry and
Measurement: Attributes and
Properties
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Classify a 2-dimensional figure into
categories and subcategories based on
attributes
Topic 5 - Geometry and
Measurement: Volume
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Determine the volume of a right
rectangular prism by counting unit
cubes
Determine the volume of an object
composed of rectangular prisms by
counting units
AM™ TX CCR Gr 5 Library
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Determine the volume of a rectangular
prism composed of unit cubes when
given the number of unit cubes in the
base layer and the number of layers in
the prism
Determine the volume of a right
rectangular prism given a diagram
Determine the volume of a right
rectangular prism
WP: Determine the volume of a right
rectangular prism given a diagram and
formula
WP: Determine the volume of a right
rectangular prism given a formula
Topic 6 - Geometry and
Measurement: Conversions
within Customary or Metric
Measurement Systems
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Convert a larger unit to a smaller unit
using customary measurements
Convert a larger unit to a smaller unit
using metric measurements
WP: Solve a problem involving
customary measurement and unit
conversion using any of the four
operations
WP: Solve a problem involving metric
measurement and unit conversion
using any of the four operations
Add or subtract compound units of
length in inches and feet with
conversion
WP: Add or subtract compound units
of length in inches and feet with
conversion
Topic 7 - Geometry and
Measurement: Coordinate Plane
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Determine how to travel from the
origin to a given point in the first
quadrant
Determine the location of an ordered
pair in the first quadrant
Determine the location of an ordered
pair in the first quadrant using
compass directions
Determine the ordered pair of a point
in the first quadrant
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
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Scope and Sequence
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WP: Graph a point in the first quadrant
of the coordinate plane to represent a
problem
Determine the graph of the values in
an input-output table
Topic 8 - Data Analysis
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Use a double-bar graph to represent
data
Use a double- or stacked-bar graph to
represent data
Use a stem-and-leaf plot to represent
data
AM™ TX CCR Gr 5 Library
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Use a frequency table to represent 2
related data sets
Use a dot plot to represent decimal or
fractional data
Use a scatter plot to represent discrete
paired data
Solve a 1-step problem using data in a
frequency table, dot plot, bar graph,
stem-and-leaf plot, or scatter plot
Solve a 2-step problem using data in a
frequency table, dot plot, bar graph,
stem-and-leaf plot, or scatter plot
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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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 Gr 5 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 Grade 5 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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R57553.140425