Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Understand numeration,
Number Theory and number theory, and
Systems
number systems.
Standard and
Expanded Form
Write Numbers
Convert numbers containing
two to nine digits from
standard form to expanded
form and vice versa.
40909
Instruction/Practice:
Standard and Expanded
Form
Convert numbers containing two to
nine digits from standard form to
expanded form and vice versa.
40910
Independent Practice:
Standard and Expanded
Form Exploratory
Convert numbers containing two to
nine digits from standard form to
expanded form and vice versa.
40911
Convert numbers containing up to
nine digits from standard form to
Expanded Form Handbook expanded form and vice versa.
Lesson Quiz: Standard and
Expanded Form
Write numbers up to nine
digits using oral cues and
written cues.
40912
40913
40915
©CompassLearning, Inc. 2016
Instruction/Practice: Write
Numbers
Independent Practice:
Write Numbers
Exploratory
Write numbers up to nine digits
using oral and written cues.
Writing Large Numbers
Handbook
Lesson Quiz: Write
Numbers
Write numbers up to nine digits
using oral cues and written cues.
Write numbers up to nine digits
using oral and written cues.
1
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Order and Compare
Numbers
Lesson Description
Activity Code
Order numbers up to nine
digits and compare numbers
using the symbols <, >, and =.
Activity Title
Activity Description
40922
Order numbers up to nine digits and
Instruction/Practice: Order compare numbers using the symbols
and Compare Numbers
<, >, and =.
40923
Independent Practice:
Order and Compare
Numbers Exploratory
40924
Order and Compare
Numbers Handbook
Order numbers up to nine digits and
compare numbers using the symbols
<, >, and =.
Order numbers up to nine digits and
compare numbers using the symbols
<, >, and =.
Lesson Quiz: Order and
Compare Numbers
Rounding Numbers
©CompassLearning, Inc. 2016
Round numbers to the
nearest ten, hundred,
thousand, ten thousand, and
hundred thousand.
NBT016
Use place value understanding to
Instruction/Practice: Using round multi-digit whole number to
What You Know About
the nearest ten, hundred, or
Place Value to Round
thousand.
AQNBT016
Activity Quiz: Using What
You Know About Place
Value to Round
40925
Instruction/Practice:
Rounding Numbers
Round numbers to the nearest ten,
hundred, thousand, ten thousand,
and hundred thousand.
40926
Independent Practice:
Rounding Numbers
Exploratory
Round numbers to the nearest ten,
hundred, thousand, ten thousand,
and hundred thousand.
2
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40927
Addition and
Subtraction
Understand the meanings
of operations and how
they relate to one
another. (+, -)
Add Whole Numbers
Add whole numbers. (4digits, up to 3 numbers)
Round numbers to the nearest ten,
hundred, thousand, ten thousand,
and hundred thousand.
Instruction/Practice: Add
Whole Numbers
Add whole numbers. (4-digits, up to
3 numbers)
40968
Independent Practice:
Addition Exploratory
Add whole numbers. (4-digits, up to
3 numbers)
Understand the meanings of
operations and how they relate to
one another. (+, -)
Addition and Subtraction
Handbook
Lesson Quiz: Add Whole
Numbers
Subtract 4-digit numbers
with multiple zeros.
40969
Instruction/Practice:
Subtract Whole Numbers
40970
Independent Practice:
Subtract Whole Numbers
Exploratory
41030
©CompassLearning, Inc. 2016
Rounding Handbook
Lesson Quiz: Rounding
Numbers
Chapter Test: Number
Theory and Systems
Activity Description
40967
41029
Subtract Whole
Numbers
Activity Title
Addition and Subtraction
Handbook
Lesson Quiz: Subtract
Whole Numbers
Subtract 4-digit numbers with
multiple zeros.
Subtract 4-digit numbers with
multiple zeros.
Understand the meanings of
operations and how they relate to
one another. (+, -)
3
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Estimate Sums and
Differences
Lesson Description
Activity Code
Estimate sums and
differences using rounding
and compatible numbers.
40989
Activity Title
Instruction/Practice:
Estimate Sums and
Differences
Activity Description
Estimate sums and differences using
rounding and compatible numbers.
Lesson Quiz: Estimate
Sums and Differences
Chapter Test: Addition and
Subtraction
Multiplication and
Division
Understand the meaning
of operations and how
they relate to one
another.
Multiples and
Common Multiples
Define multiples, and list
multiples of a given number.
Identify common multiples of
two given numbers.
OT40860
Instruction/Practice:
Multiples and Common
Multiples
Independent Practice:
Practice Resource:
Multiple
40861
Independent Practice:
Common Multiples
Exploratory
40856
Common Multiples
Handbook
40860
Define multiples, and list multiples
of a given number. Identify
common multiples of two given
numbers.
Identify examples and nonexamples
of multiples.
Define multiples, and list multiples
of a given number. Identify
common multiples of two given
numbers.
Define multiples, and list multiples
of a given number. Identify
common multiples of two given
numbers.
Lesson Quiz: Multiples and
Common Multiples
©CompassLearning, Inc. 2016
4
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Model a multiplicative
Using Multiplication to comparison using a
Solve Problems
multiplication equation.
M4002
Instruction: Interactive Exploration.
Learn to model a multiplicative
comparison using a multiplication
equation.
Supported Practice: Practice
Supported Practice: Using modeling a multiplicative
Multiplication to Solve
comparison using a multiplication
Comparison Problems
equation.
M4003
Independent Practice:
Using Multiplication to
Solve Comparison
Problems
QZM4004
Assessment: Quiz. Demonstrate an
ability to model a multiplicative
Quiz: Using Multiplication comparison using a multiplication
to Solve Problems
equation.
OA026
Interpret a multiplication equation
as a comparison. Represent verbal
Instruction/Practice:
statements of multiplicative
Interpreting Multiplication comparisons as multiplication
Equations
equations.
AQOA026
Activity Quiz: Interpreting
Multiplication Equations
M4001
Multiplication
Equations
Independent Practice: Practice
modeling a multiplicative
comparison using a multiplication
equation.
Interpret a multiplication
equation.
OA027
©CompassLearning, Inc. 2016
Instruction: Using
Multiplication to Solve
Comparison Problems
Instruction/Practice:
Describing Multiplication
Situations
Interpret a multiplication equation
as a comparison. Represent verbal
statements of multiplicative
comparisons as multiplication
equations.
5
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
AQOA027
Activity Title
Activity Description
Activity Quiz: Describing
Multiplication Situations
Lesson Quiz: Multiplication
Equations
Partial Products
©CompassLearning, Inc. 2016
Multiply 1-digit numbers with
2-digit and 3-digit numbers.
Use partial products and
mental multiplication as
strategies.
Multiply 1-digit numbers with 2-digit
and 3-digit numbers. Use partial
products and mental multiplication
as strategies.
40868
Instruction/Practice:
Partial Products
M4012
Instruction: Interactive Exploration.
Learn to multiply a multi-digit whole
Instruction: Multiplying by number by a one-digit whole
One-Digit Numbers Using number using base ten blocks and
Models
area models.
PRM4013
Independent Practice:
Practice Resource:
Multiplying by One-Digit
Numbers Using Models
Independent Practice: Practice
Resource. Practice multiplying a
multi-digit whole number by a onedigit whole number using base ten
blocks and area models.
40869
Independent Practice:
Partial Products
Exploratory
Multiply 1-digit numbers with 2-digit
and 3-digit numbers. Use partial
products and mental multiplication
as strategies.
40866
Multiply 1-digit numbers with 2-digit
and 3-digit numbers. Use partial
products and mental multiplication
Partial Products Handbook as strategies.
6
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Multiply Large
Numbers
Lesson Description
Activity Code
40870
Instruction/Practice:
Multiply Large Numbers
Multiply 2-digit numbers with 2 and
3-digit numbers.
M4014
Instruction: Multiplying
Two-Digit by Two-Digit
Numbers Using Models
Instruction: Interactive Exploration.
Learn to multiply two-digit by twodigit numbers using base ten blocks
and area models.
40867
Multiply multiple factors.
40872
40888
41147
Factors and Common
Factors
Independent Practice:
Practice Resource:
Multiplying Two-Digit by
Two-Digit Numbers Using
Models
Multiply Large Numbers
Handbook
Lesson Quiz: Multiply
Large Numbers
Instruction/Practice:
Multiple Factors
Independent Practice:
Multiple Factors
Exploratory
Multiple Factors
Handbook
Lesson Quiz: Multiple
Factors
Identify factors of a given
number and common factors
of two given numbers.
40885
©CompassLearning, Inc. 2016
Activity Description
Multiply 2-digit numbers with
2 and 3-digit numbers.
PRM4015
Multiple Factors
Activity Title
Lesson Quiz: Partial
Products
Instruction/Practice:
Factors
Independent Practice: Practice
Resource. Practice multiplying twodigit by two-digit numbers using
base ten blocks and area models.
Multiply 2-digit numbers with 2 and
3-digit numbers.
Multiply multiple factors.
Multiply multiple factors.
Multiply multiple factors.
Identify factors of a given number
and common factors of two given
numbers.
7
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40886
Instruction/Practice:
Common Factors
40914
Independent Practice:
Factors and Common
Factors Exploratory
40873
Meaning of Division
©CompassLearning, Inc. 2016
Activity Title
Factors Handbook
Lesson Quiz: Factors and
Common Factors
Activity Description
Identify factors of a given number
and common factors of two given
numbers.
Identify factors of a given number
and common factors of two given
numbers.
Identify factors of a given number
and common factors of two given
numbers.
Find whole-number
quotients and remainders
with one-digit divisors.
Illustrate and explain the
calculation by using
equations, standard
algorithms, and models
NBT017
Find whole-number quotients and
remainders with one-digit divisors,
using strategies based on place
value, the properties of operations,
Instruction/Practice: What and/or the relationship between
Does it Mean to Divide?
multiplication and division.
AQNBT017
Activity Quiz: What Does it
Mean to Divide?
8
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Find whole-number
quotients and remainders
with one-digit divisors, using
strategies based on place
value, the properties of
operations, and/or the
relationship between
Strategies for Dividing multiplication and division.
AQNBT018
Instruction/Practice:
Strategies for Solving
Division Problems
Activity Quiz: Strategies
for Solving Division
Problems
40887
Instruction/Practice:
Dividing with 1-digit
Divisors
NBT018
Dividing with 1-digit
Divisors
Divide dividends up to fourdigits by one-digit with and
without remainders. (Include
quotients with 0's)
40890
©CompassLearning, Inc. 2016
Dividing with 1-Digit
Divisors Handbook
Lesson Quiz: Dividing with
1-digit Divisors
Find whole-number quotients and
remainders with one-digit divisors,
using strategies based on place
value, the properties of operations,
and/or the relationship between
multiplication and division. Illustrate
and explain the calculation by using
equations, standard algorithms, and
models.
Divide dividends up to four-digits by
one-digit with and without
remainders. (Include quotients with
0's)
Divide dividends up to four-digits by
one-digit with and without
remainders. (Include quotients with
0's)
9
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Dividing with
Remainders
Using Division to
Compare
Lesson Description
Solve one-step and two-step
word problems in which
remainders must be
interpreted.
Activity Code
©CompassLearning, Inc. 2016
Activity Description
Solve one-step and two-step word
problems in which remainders must
be interpreted.
OA028
Instruction/Practice:
Interpreting Remainders
AQOA028
Activity Quiz: Interpreting
Remainders
M4005
Instruction: Interactive Exploration.
Instruction: Using Division Learn to use division to make
to Compare
multiplicative comparisons.
Use division to make
multiplicative comparisons.
M4007
Instruction: Learn to use division to
make multiplicative comparisons
Problem Solving: Using
when the number of groups is
Division to Compare
unknown.
Supported Practice: Practice using
Supported Practice: Using division to make multiplicative
Division to Compare
comparisons.
M4008
Independent Practice: Practice using
Independent Practice:
division to make multiplicative
Using Division to Compare comparisons.
QZM4009
Quiz: Using Division to
Compare
Assessment: Quiz. Demonstrate an
ability to use division to make
multiplicative comparisons.
40901
Instruction/Practice:
Dividing with 2-digit
Divisors
Solve two-digit division problems
with and without remainders.
M4006
Dividing with 2-digit
Divisors
Activity Title
Solve two-digit division
problems with and without
remainders.
10
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40906
40905
Activity Title
Independent Practice:
Dividing with 2-digit
Divisors Exploratory
Activity Description
Solve two-digit division problems
with and without remainders.
Two-digit Divisors
Solve two-digit division problems
Handbook
with and without remainders.
Lesson Quiz: Dividing with
2-digit Divisors
Apply understanding of place
value when solving problems
involving multiplication by 10
or 100 and division by 10 or a
Dividing by 10 and 100 multiple of 10.
AQNBT014
Instruction/Practice:
Exploring Base Ten
Activity Quiz: Exploring
Base Ten
NBT015
Divide by 10 and 100. Generalize
place value understanding for multidigit whole numbers. Recognize
that in a multi-digit whole number, a
Instruction/Practice: What digit in one place represents ten
Does Place Value Look
times what it represents in the place
to its right.
Like?
AQNBT015
Activity Quiz: What Does
Place Value Look Like?
NBT014
©CompassLearning, Inc. 2016
Multiply by 10 and 100. Generalize
place value understanding for multidigit whole numbers. Recognize that
in a multi-digit whole number, a
digit in one place represents ten
times what it represents in the place
to its right.
11
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Average
Lesson Description
Activity Code
Activity Title
Activity Description
Lesson Quiz: Multiplying
and Dividing by 10 and 100
Find the average of a set of
numbers.
40900
Instruction/Practice:
Average
Find the average of a set of
numbers.
40907
Independent Practice:
Average Exploratory
Find the average of a set of
numbers.
Find the average of a set of
numbers.
40908
Average Handbook
Lesson Quiz: Average
Chapter Test:
Multiplication and Division
Fractions and
Decimals
Understand relationships
among numbers and ways
of representing fractional
and decimal numbers.
Parts of a Set or a
Whole
Match parts of a set and
parts of a whole with
equivalent fractions with
denominators up to 12.
40977
Match parts of a set and parts of a
Instruction/Practice: Parts whole with equivalent fractions with
of a Set or a Whole
denominators up to 12.
40978
Independent Practice:
Parts of a Set or Whole
Exploratory
40979
©CompassLearning, Inc. 2016
Fractions Handbook
Lesson Quiz: Parts of a Set
or a Whole
Match parts of a set and parts of a
whole with equivalent fractions with
denominators up to 12.
Match parts of a set and parts of a
whole with equivalent fractions with
denominators up to 12.
12
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Improper Fractions
Lesson Description
Activity Code
40980
Instruction/Practice:
Improper Fractions
Identify improper fractions, and
convert between improper fractions
and mixed numbers.
OT40980
Independent Practice:
Practice Resource:
Improper Fractions
Define improper fraction and
identify examples and nonexamples.
40981
Independent Practice:
Improper Fractions
Exploratory
Identify improper fractions, and
convert between improper fractions
and mixed numbers.
Express a fraction with
denominator 10 as an
Equivalent Tenths and equivalent fraction with
denominator 100.
Hundredths
©CompassLearning, Inc. 2016
Activity Description
Identify improper fractions,
and convert between
improper fractions and mixed
numbers.
40982
Equivalent Fractions
Activity Title
Improper Fractions
Handbook
Lesson Quiz: Improper
Fractions
42012
Instruction/Practice:
Equivalent Tenths and
Hundredths
AQ42012
Activity Quiz: Equivalent
Tenths and Hundredths
40983
Instruction/Practice:
Equivalent Fractions
Identify improper fractions, and
convert between improper fractions
and mixed numbers.
Express a fraction with denominator
10 as an equivalent fraction with
denominator 100.
Recognize equivalent
fractions. Reduce fractions
to lowest terms.
Recognize equivalent fractions.
Reduce fractions to lowest terms.
13
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
OW40984
40984
Simplifying Fractions
to Whole Numbers
Fractions of Whole
Numbers
Simplify improper fractions
to whole numbers using
models.
Activity Title
Activity Description
Understand why a fraction is
equivalent to another fraction by
using visual fraction models, with
Independent Practice:
attention to how the number and
Compass Writer:
size of the parts differ even though
Understanding Equivalent the two fractions themselves are
Fractions
the same size.
Independent Practice:
Equivalent Fractions
Recognize equivalent fractions.
Exploratory
Reduce fractions to lowest terms.
Lesson Quiz: Equivalent
Fractions
42000
Instruction/Practice:
Fractions that Simplify to
Whole Numbers
AQ42000
Activity Quiz: Fractions
that Simplify to Whole
Numbers
42001
Instruction/Practice:
Fractions and Equivalent
Whole Numbers
AQ42001
Activity Quiz: Fractions
and Equivalent Whole
Numbers
Simplify improper fractions to whole
numbers using models.
Explore fractions that
simplify to whole numbers.
Express whole numbers as fractions
and recognize fractions that are
equivalent to whole numbers.
Lesson Quiz: Fractions of
Whole Numbers
©CompassLearning, Inc. 2016
14
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Compare and Order
Fractions
Lesson Description
Activity Code
Activity Title
Activity Description
Order fractions with like and
unlike denominators 1
through 12 and compare
fractions using the symbols <,
>, and =.
40986
Instruction/Practice:
Compare and Order
Fractions
Order fractions with like and unlike
denominators 1 through 12 and
compare fractions using the symbols
<, >, and =.
M4016
Instruction: Comparing
Fractions Using Fraction
Models
Instruction: Learn to compare two
fractions using fraction models.
M4017
Supported Practice:
Supported Practice: Practice
Comparing Fractions Using comparing two fractions using
Fraction Models
fraction models.
PRM4018
Independent Practice:
Practice Resource:
Independent Practice: Practice
Comparing Fractions Using Resource. Practice comparing two
Fraction Models
fractions using fraction models.
40987
Independent Practice:
Order and Compare
Fractions Exploratory
Order fractions with like and unlike
denominators 1 through 12 and
compare fractions using the symbols
<, >, and =.
Lesson Quiz: Compare and
Order Fractions
Join and Separate
Fractions
©CompassLearning, Inc. 2016
Learn how adding fractions is
joining parts related to the
same whole, and how
subtracting fractions is
separating parts related to
the same whole.
15
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Add Fractions with
Like Denominators
©CompassLearning, Inc. 2016
Lesson Description
Solve word problems
involving addition of
fractions with like
denominators by using
fraction models and
equations.
Activity Code
Activity Title
Activity Description
M4019
Instruction: Adding and
Subtracting Fractions
Instruction: Interactive Exploration.
Learn how adding fractions is joining
parts related to the same whole,
and how subtracting fractions is
separating parts related to the same
whole.
M4020
Supported Practice:
Adding and Subtracting
Fractions
Supported Practice: Practice adding
and subtracting fractions with like
denominators.
M4021
Independent Practice:
Adding and Subtracting
Fractions
Independent Practice: Practice
adding and subtracting fractions
with like denominators.
QZM4022
Quiz: Adding and
Subtracting Fractions
Assessment: Quiz. Demonstrate
ability to add and subtract fractions
with like denominators.
42004
Instruction/Practice: Add
Fractions with Like
Denominators
Solve word problems involving
addition of fractions with like
denominators by using fraction
models and equations.
M4023
Problem Solving: Adding
Fractions with Like
Denominators
Instruction: Learn to add fractions
with like denominators using a
visual fraction model.
M4024
Supported Practice:
Adding and Subtracting
Fractions with Like
Denominators
Supoorted Practice: Practice adding
and subtracting fractions with like
denominators.
16
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Subtract Fractions
with Like
Denominators
AQ42004
42005
Instruction/Practice:
Subtract Fractions with
Like Denominators
Solve word problems involving
subtraction of fractions with like
denominators by using fraction
models and equations.
OT42005
Independent Practice:
Practice Resource:
Subtract Fractions with
Like Denominators
Solve word problems involving
subtraction of fractions with like
denominators by using fraction
models and equations.
OW42005
AQ42005
©CompassLearning, Inc. 2016
Activity Description
Independent Practice:
Practice Resource: Add
Fractions with Like
Denominators
Activity Quiz: Add
Fractions with Like
Denominators
OT42004
Solve word problems
involving subtraction of
fractions with like
denominators by using
fraction models and
equations.
Activity Title
Independent Practice:
Compass Writer: Subtract
Fractions with Like
Denominators
Activity Quiz: Subtract
Fractions with Like
Denominators
Solve word problems involving
addition of fractions with like
denominators by using fraction
models and equations.
Solve word problems involving
subtraction of fractions with like
denominators by using fraction
models and equations. Analyze and
explain fraction models.
17
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Decomposing
Fractions
Lesson Description
Activity Code
Instruction/Practice:
Decomposing Fractions
Decompose a fraction into a sum of
fractions with the same
denominator in more than one way
using a visual fraction model.
AT42002
Independent Practice:
Practice Resource:
Decomposing Fractions
Decompose a fraction into a sum of
fractions with the same
denominator in more than one way
using a visual fraction model and an
equation.
AQ42002
Activity Quiz:
Decomposing Fractions
Decompose an improper
fraction into a sum of
fractions with the same
denominator in more than
one way and record each
decomposition with an
equation.
42003
AQ42003
©CompassLearning, Inc. 2016
Activity Description
Decompose a fraction into a
sum of fractions with the
same denominator in more
than one way using a visual
fraction model.
42002
Decomposing
Improper Fractions
Activity Title
Instruction/Practice:
Decomposing Improper
Fractions
Decompose an improper fraction
into a sum of fractions with the
same denominator in more than
one way and record each
decomposition with an equation.
Activity Quiz:
Decomposing Improper
Fractions
Decompose an improper fraction
into a sum of fractions with the
same denominator in more than
one way and record each
decomposition with an equation.
18
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Add and Subtract
Fractions
Lesson Description
Activity Code
41004
Add/Subtract Unlike
Fractions
©CompassLearning, Inc. 2016
Activity Description
Add and subtract fractions
with like denominators.
41003
Add and Subtract
Mixed Numbers
Activity Title
Add and subtract mixed
numbers with like
denominators.
Instruction/Practice: Add
and Subtract Fractions
Add and subtract fractions with like
denominators.
Independent Practice: Add
and Subtract Fractions
Add and subtract fractions with like
Exploratory
denominators.
Lesson Quiz: Add and
Subtract Fractions
41006
Instruction/Practice: Add
and Subtract Mixed
Numbers
41007
Independent Practice: Add
and Subtract Mixed
Add and subtract mixed numbers
Numbers Exploratory
with like denominators.
Add and subtract mixed numbers
with like denominators.
Lesson Quiz: Add and
Subtract Mixed Numbers
Add and subtract fractions
with unlike denominators up
to 12.
41014
Instruction/Practice:
Add/Subtract Unlike
Fractions
Add and subtract fractions with
unlike denominators up to 12.
OT41014
Independent Practice:
Practice Resource: Add
Fractions with Unlike
Denominators
Solve word problems involving
adding fractions with unlike
denominators using fraction models
and equations.
41015
Independent Practice: Add
and Subtract Unlike
Add and subtract fractions with
Fractions Exploratory
unlike denominators up to 12.
19
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Lesson Quiz: Add/Subtract
Unlike Fractions
Add Tenths and
Hundredths
Add Unit Fractions
Multiple Times
Fraction Multiples
Add two fractions with
respective denominators 10
and 100.
Add a unit fraction multiple
times.
Recognize multiples of a
fraction.
42013
Instruction/Practice: Add
Tenths and Hundredths
Add two fractions with respective
denominators 10 and 100.
AQ42013
Activity Quiz: Add Tenths
and Hundredths
Add two fractions with respective
denominators 10 and 100.
42006
Instruction/Practice: Add a
Fraction Multiple Times
Add a fraction multiple times.
AQ42006
Activity Quiz: Add a
Fraction Multiple Times
42007
AQ42007
Multiply a fraction by a
Multiply a Fraction by whole number using viusla
a Whole Number
models and equations.
42008
AQ42008
©CompassLearning, Inc. 2016
Instruction/Practice:
Fraction Multiples
Activity Quiz: Fraction
Multiples
Add a fraction multiple times.
Recognize multiples of a fraction.
Recognize multiples of a fraction.
Match a visual model to a
multiplication equation involving
Instruction/Practice:
multiplying a fraction by a whole
Fraction of a Whole - A
number.
Match a visual model to a
multiplication equation involving
Activity Quiz: Fraction of a multiplying a fraction by a whole
Whole - A
number.
20
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Multiply Fractions
Lesson Description
Activity Code
Activity Description
Multiply a fraction by a whole
number using previous knowledge
of multiples.
42009
Instruction/Practice:
Fraction of a Whole - B
AQ42009
Multiply a fraction by a whole
Activity Quiz: Fraction of a number using previous knowledge
Whole - B
of multiples.
42010
Solve word problems involving
multiplication of a fraction by a
whole number by using visual
Instruction/Practice:
Problem Solving: Fraction fraction models to represent the
of a Whole - A
problem.
Solve word problems
involving multiplication of a
fraction by a whole number
by using visual fraction
models and equations to
represent the problem.
Solve word problems involving
multiplication of a fraction by a
whole number by using visual
fraction models to represent the
problem.
AQ42010
Activity Quiz: Problem
Solving: Fraction of a
Whole - A
42011
Solve word problems involving
Instruction/Practice:
multiplication of a fraction by a
Problem Solving: Fraction whole number by using an equation
of a Whole - B
to represent the problem.
AQ42011
©CompassLearning, Inc. 2016
Activity Title
Activity Quiz: Problem
Solving: Fraction of a
Whole - B
Lesson Quiz: Multiply
Fractions
Solve word problems involving
multiplication of a fraction by a
whole number by using an equation
to represent the problem.
21
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Compare and Order
Decimals
Lesson Description
Activity Code
Activity Title
Order decimals and compare
the values of two decimals
using the signs <, >, and = up
to the thousandths place.
41017
Instruction/Practice:
Compare and Order
Decimals
OW41018
Independent Practice:
Compass Writer:
Comparing Decimals
41018
Independent Practice:
Order and Compare
Decimals Exploratory
Activity Description
Order decimals and compare the
values of two decimals using the
signs <, >, and = up to the
thousandths place.
Compare two decimals to
hundredths by reasoning about their
size. Record the results of the
comparisons with the symbols <, =,
or >, and justify the conclusions.
Order decimals and compare the
values of two decimals using the
signs <, >, and = up to the
thousandths place.
Lesson Quiz: Compare and
Order Decimals
Read and write decimals as
Decimals as Fractions fractions.
41022
41023
Instruction/Practice:
Decimals as Fractions
Independent Practice:
Decimals as Fractions
Exploratory
Read and write decimals as
fractions.
Read and write decimals as
fractions.
Lesson Quiz: Decimals as
Fractions
Add and Subtract
Decimals
Add and subtract decimals
through thousandths.
AT4040
©CompassLearning, Inc. 2016
Independent Practice:
Practice Resource: Adding Add decimals through thousandths
Decimals in Word
in the context of word problems
Problems Using Blocks
using blocks.
22
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
AT4041
Add decimals through thousandths
in the context of word problems
using number lines.
AT4042
Independent Practice:
Practice Resource:
Subtracting Decimals in
Word Problems
Subtract decimals through
thousandths in the context of word
problems.
41025
Instruction/Practice: Add
and Subtract Decimals
Add and subtract decimals through
thousandths.
41026
Independent Practice: Add
Add and subtract decimals through
and Subtract Decimals
Exploratory
thousandths.
Independent Practice:
Compass Writer:
Explaining How to Add and
Subtract Decimals
Lesson Quiz: Add and
Subtract Decimals
Add and subtract decimals to the
hundredths using concrete models
and strategies based on place value.
Explain the reasoning used.
Chapter Test: Fractions
and Decimals
Understand the concept
of money.
Count Money and
Make Change
Count and exchange money
in amounts up to $100.00.
Solve problems that require
making change in amounts
up to $100.00.
40948
©CompassLearning, Inc. 2016
Activity Description
Independent Practice:
Practice Resource: Using
Number Lines to Add
Decimals in Word
Problems
OW41026
Money
Activity Title
Instruction/Practice:
Count Money and Make
Change
Count and exchange money in
amounts up to $100.00. Solve
problems that require making
change in amounts up to $100.00.
23
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40949
40950
Add and Subtract
Money
Solve addition and
subtraction problems
involving money.
Independent Practice:
Count Money and Make
Change Exploratory
Count and exchange money in
amounts up to $100.00. Solve
problems that require making
change in amounts up to $100.00.
Count Money and Make
Change Handbook
Count and exchange money in
amounts up to $100.00. Solve
problems that require making
change in amounts up to $100.00.
40956
Instruction/Practice: Add
and Subtract Money
40957
Independent Practice: Add
and Subtract Money
Solve addition and subtraction
Exploratory
problems involving money.
Solve multiplication and
division problems involving
money.
40959
40960
40961
©CompassLearning, Inc. 2016
Activity Description
Lesson Quiz: Count Money
and Make Change
40958
Multiply and Divide
Money
Activity Title
Add and Subtract Money
Handbook
Lesson Quiz: Add and
Subtract Money
Instruction/Practice:
Multiply and Divide
Money
Instruction/Practice:
Multiply and Divide
Money Exploratory
Solve addition and subtraction
problems involving money.
Solve addition and subtraction
problems involving money.
Solve multiplication and division
problems involving money.
Solve multiplication and division
problems involving money.
Multiply and Divide
Solve multiplication and division
Money Handbook
problems involving money.
Lesson Quiz: Multiply and
Divide Money
24
Math 4: Scope and Sequence
Chapter Title
Patterns
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Chapter Test: Money
Activity Description
Understand patterns,
relations, and functions.
Patterns
Identify and extend patterns
and apply pattern rules using
shapes, colors, and numbers.
(repeating, growing patterns)
40894
40895
40896
Numeric Patterns
©CompassLearning, Inc. 2016
Identify and apply pattern
rules using sequences of
related numbers.
(arithmetic, geometric
sequence)
Instruction/Practice:
Patterns
Identify and extend patterns and
apply pattern rules using shapes,
colors, and numbers. (repeating,
growing patterns)
Independent Practice:
Patterns Exploratory
Identify and extend patterns and
apply pattern rules using shapes,
colors, and numbers. (repeating,
growing patterns)
Patterns Handbook
Lesson Quiz: Patterns
Identify and extend patterns and
apply pattern rules using shapes,
colors, and numbers. (repeating,
growing patterns)
40897
Instruction/Practice:
Numeric Patterns
Identify and apply pattern rules
using sequences of related numbers.
(arithmetic, geometric sequence)
40898
Independent Practice:
Numeric Patterns
Exploratory
Identify and apply pattern rules
using sequences of related numbers.
(arithmetic, geometric sequence)
25
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40899
Apply Function Rules
Activity Title
Numeric Patterns
Handbook
Lesson Quiz: Numeric
Patterns
Activity Description
Identify and apply pattern rules
using sequences of related numbers.
(arithmetic, geometric sequence)
Apply the appropriate rule to
complete a chart including
input/output tables. Solve
problems associated with a
given relationship using a
table of values.
40902
Apply the appropriate rule to
complete a chart including
input/output tables. Solve problems
Instruction/Practice: Apply associated with a given relationship
Function Rules
using a table of values.
40903
Apply the appropriate rule to
complete a chart including
input/output tables. Solve problems
associated with a given relationship
using a table of values.
40904
Independent Practice:
Apply Function Rules
Exploratory
Functions Handbook
Lesson Quiz: Apply
Function Rules
Apply the appropriate rule to
complete a chart including
input/output tables. Solve problems
associated with a given relationship
using a table of values.
Chapter Test: Patterns
Algebra
Represent and analyze
mathematical situations
using algebraic symbols.
©CompassLearning, Inc. 2016
26
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Expressions
Lesson Description
Activity Code
Activity Title
Activity Description
Represent written
relationships as expressions
and use a variable to
represent an unknown
quantity in an expression.
40919
40921
Instruction/Practice:
Expressions
Represent written relationships as
numeric equations and use a
variable to represent an unknown
quantity in an expression.
Expressions Handbook
Represent written relationships as
numeric equations and use a
variable to represent an unknown
quantity in an expression.
Lesson Quiz: Expressions
Equations
©CompassLearning, Inc. 2016
Explore the idea of a variable
by solving for an unknown
quantity in an equation.
Example: 3 + a = 7.
40931
Instruction/Practice:
Equations
Explore the idea of a variable by
solving for an unknown quantity in
an equation. Example: 3 + a = 7.
40932
Independent Practice:
Equations Exploratory
Explore the idea of a variable by
solving for an unknown quantity in
an equation. Example: 3 + a = 7.
40933
Equations Handbook
Explore the idea of a variable by
solving for an unknown quantity in
an equation. Example: 3 + a = 7.
OA029
Solve multistep word problems.
Instruction/Practice: Using Represent these problems using
an Equation to Represent equations with a letter standing for
a Situation
the unknown quantity.
27
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
AQOA029
Activity Title
Activity Description
Activity Quiz: Using an
Equation to Represent a
Situation
Lesson Quiz: Equations
Properties
Use the Commutative and
Associative Properties of
Addition and Multiplication
to find equivalent
expressions or equations
containing an unknown
quantity.
40942
40943
40944
Instruction/Practice:
Properties
Use the Commutative and
Associative Properties of Addition
and Multiplication to find equivalent
expressions or equations containing
an unknown quantity.
Independent Practice:
Properties Exploratory
Use the Commutative and
Associative Properties of Addition
and Multiplication to find equivalent
expressions or equations containing
an unknown quantity.
Properties Handbook
Use the Commutative and
Associative Properties of Addition
and Multiplication to find equivalent
expressions or equations containing
an unknown quantity.
Lesson Quiz: Properties
Chapter Test: Algebra
©CompassLearning, Inc. 2016
28
Math 4: Scope and Sequence
Chapter Title
Properties of
Shapes
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Analyze characteristics
and properties of 2- and 3dimensional shapes.
Points, Lines,
Segments, Rays
Define, name, and identify
points, lines, line segments,
rays and angles.
40823
40824
40818
Instruction/Practice:
Points, Lines, Segments,
Rays
Independent Practice:
Points, Lines, Segments,
Rays, and Angles
Exploratory
Points, Lines, Segments,
Rays, and Angles
Handbook
Define, name, and identify points,
lines, line segments, rays and angles.
Define, name, and identify points,
lines, line segments, rays and angles.
Define, name, and identify points,
lines, line segments, rays and angles.
Lesson Quiz: Points, Lines,
Segments, Rays
Identify and Classify
Angles
Identify and classify angles as
right, obtuse, or acute.
40825
40829
40817
Exploring Angles
©CompassLearning, Inc. 2016
Instruction/Practice:
Identify and Classify
Angles
Independent Practice:
Angles Exploratory
Classifying Angles
Handbook
Lesson Quiz: Classify
Angles
Identify and classify angles as right,
obtuse, or acute.
Identify and classify angles as right,
obtuse, or acute.
Identify and classify angles as right,
obtuse, or acute.
Understand that an angle is
made up of a series of onedegree turns.
29
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Drawing Angles
Lesson Description
Activity Code
MA4042
Activity Title
Activity Description
Instruction: Exploring
Students will understand that an
Angles as a Series of One- angle is made up of a series of onedegree turns.
Degree Turns
AQMA4042
Activity Quiz: Exploring
Angles as a Series of OneDegree Turns
MA4044
Instruction: Drawing
Angles
Understand how to sketch
angles of specified measure
using a protractor.
AQMA4044
Independent Practice:
Practice Resource:
Drawing Angles
Activity Quiz: Drawing
Angles
MA4043A
Instruction: Measuring
Acute Angles
AQMA4043A
Activity Quiz: Measuring
Acute Angles
MA4043B
Instruction: Measuring
Obtuse Angles
Understand how to measure obtuse
angles using a protractor.
ATMA4043
Independent Practice:
Practice Resource:
Measuring Angles
Understand how to measure angles
using a protractor.
AQMA4043B
Activity Quiz: Measuring
Obtuse Angles
ATMA4044
Measuring Acute
Angles
Measuring Obtuse
Angles
©CompassLearning, Inc. 2016
Understand how to measure
acute angles using a
protractor.
Understand how to measure
obtuse angles using a
protractor.
Understand how to sketch angles of
specified measure using a
protractor.
Understand how to use a protractor
to draw angles.
Understand how to measure acute
angles using a protractor.
30
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Identify polygons, regular
polygons, and non-polygons
and their attributes.(sides,
angles, and vertices) Classify
Attributes of Polygons polygons into subsets.
40830
Instruction/Practice:
Attributes of Polygons
40831
Independent Practice:
Attributes of Polygons
Exploratory
40820
Attributes of Polygons
Handbook
Activity Description
Identify polygons, regular polygons,
and non-polygons and their
attributes. (sides, angles, and
vertices) Classify polygons into
subsets.
Identify polygons, regular polygons,
and non-polygons and their
attributes. (sides, angles, and
vertices) Classify polygons into
subsets.
Identify polygons, regular polygons,
and non-polygons and their
attributes. (sides, angles, and
vertices) Classify polygons into
subsets.
Lesson Quiz: Attributes of
Polygons
Lines and Angles
Found in Shapes
Classify two-dimensional
figures based on the
presence or absence of
parallel or perpendicular
lines, or the presence or
absence of angles of a
specified size.
G018
©CompassLearning, Inc. 2016
Classify two-dimensional figures
based on the presence or absence
Instruction/Practice: Lines of parallel or perpendicular lines, or
and Angles Found in
the presence or absence of angles of
Shapes
a specified size.
31
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
AQG018
Activity Quiz: Lines and
Angles Found in Shapes
40833
Instruction/Practice:
Classify Triangles
According to Angle Size
Classify triangles according to angle
size (right, acute, obtuse).
Instruction/Practice:
Classify Triangles
According to Side Lengths
Independent Practice:
Attributes of Triangles
Exploratory
Classify triangles according to angle
size (right, acute, obtuse) and side
lengths (equilateral, isosceles,
scalene).
Classify triangles according to side
lengths (equilateral, isosceles,
scalene).
Attributes of Triangles
Handbook
Classify triangles according to angle
size (right, acute, obtuse) and side
lengths (equilateral, isosceles,
scalene).
Classify triangles according to
angle size (right, acute,
obtuse) and side lengths
(equilateral, isosceles,
Attributes of Triangles scalene).
40832
40834
40816
Attributes of Circles
©CompassLearning, Inc. 2016
Lesson Quiz: Attributes of
Triangles
Identify the radius and
diameter of a circle, and
calculate one when given the
other.
40835
Instruction/Practice:
Attributes of Circles
Identify the radius and diameter of a
circle, and calculate one when given
the other.
40836
Independent Practice:
Attributes of Circles
Exploratory
Identify the radius and diameter of a
circle, and calculate one when given
the other.
32
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40819
Attributes of Solids
Activity Description
Identify the radius and diameter of a
Attributes of Circles
circle, and calculate one when given
the other.
Handbook
Lesson Quiz: Attributes of
Circles
Identify the attributes of
solid figures such as cubes,
prisms, pyramids, cones,
cylinders, and spheres.
(edges, vertices, and faces)
Identify and create twodimensional representation
of a three-dimensional
figure.
40837
40838
©CompassLearning, Inc. 2016
Activity Title
Instruction/Practice:
Attributes of Solids
Identify the attributes of solid
figures such as cubes, prisms,
pyramids, cones, cylinders, and
spheres. (edges, vertices, and faces)
Identify and create two-dimensional
representation of a threedimensional figure.
Independent Practice:
Attributes of Solids
Exploratory
Identify the attributes of solid
figures such as cubes, prisms,
pyramids, cones, cylinders, and
spheres. (edges, vertices, and faces)
Identify and create two-dimensional
representation of a threedimensional figure.
33
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40822
Coordinate
Geometry
Specify locations and
describe spatial
relationships using
coordinate geometry.
Ordered Pairs
Activity Title
Attributes of Solids
Handbook
Lesson Quiz: Attributes of
Solids
Chapter Test: Properties of
Shapes
Plot a point given an ordered
pair or write the ordered pair
of a point shown on a
coordinate grid.(1st quadrant
only)
Activity Description
Identify the attributes of solid
figures such as cubes, prisms,
pyramids, cones, cylinders, and
spheres. (edges, vertices, and faces)
Identify and create two-dimensional
representation of a threedimensional figure.
Plot a point given an ordered pair on
a coordinate grid.(1st quadrant
only)
Write the ordered pair of a point
shown on a coordinate grid.(1st
quadrant only)
40839
Instruction/Practice:
Plotting Ordered Pairs
40840
Instruction/Practice:
Writing Ordered Pairs
40841
Plot a point given an ordered pair or
write the ordered pair of a point
shown on a coordinate grid.(1st
Independent Practice:
Ordered Pairs Exploratory quadrant only)
Lesson Quiz: Ordered Pairs
©CompassLearning, Inc. 2016
34
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Distance and
Directions
Lesson Description
Activity Code
Activity Title
Activity Description
After being given the
distance and navigational
directions from the initial
point within the first
quadrant, write the ordered
pair of the final point.
40842
40843
Instruction/Practice:
Distance and Directions
After being given the distance and
navigational directions from the
initial point within the first
quadrant, write the ordered pair of
the final point.
Independent Practice:
Distance and Directions
Exploratory
After being given the distance and
navigational directions from the
initial point within the first
quadrant, write the ordered pair of
the final point.
Lesson Quiz: Distance and
Directions
Chapter Test: Coordinate
Geometry
Transformations
and Symmetry
Apply transformations
and use symmetry to
analyze mathematical
situations.
Given a plane figure, identify
Similar and Congruent the similar or congruent
Figures
figure.
40826
40827
©CompassLearning, Inc. 2016
Instruction/Practice:
Construct Congruent
Figures
Instruction/Practice:
Identify Similar and
Congruent Figures
Given a plane figure, construct a
congruent figure.
Given a plane figure, identify the
similar or congruent figure.
35
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
40828
Independent Practice:
Similar and Congruent
Figures Exploratory
Given a plane figure, identify the
similar or congruent figure.
41140
Similar and Congruent
Figures Handbook
Given a plane figure, identify the
similar or congruent figure.
Lesson Quiz: Similar and
Congruent Figures
Transformations
Apply a translation, a
reflection, or a rotation to a
plane figure. Predict the
result. Identify the image of
a plane figure as a
translation, a reflection, or a
rotation.
40844
40845
41141
©CompassLearning, Inc. 2016
Instruction/Practice:
Transformations
Apply a translation, a reflection, or a
rotation to a plane figure. Predict
the result. Identify the image of a
plane figure as a translation, a
reflection, or a rotation.
Independent Practice:
Transformations
Exploratory
Apply a translation, a reflection, or a
rotation to a plane figure. Predict
the result. Identify the image of a
plane figure as a translation, a
reflection, or a rotation.
Transformations
Handbook
Lesson Quiz:
Transformations
Apply a translation, a reflection, or a
rotation to a plane figure. Predict
the result. Identify the image of a
plane figure as a translation, a
reflection, or a rotation.
36
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Symmetry
Lesson Description
Activity Code
Activity Title
Classify plane figures as
having line symmetry, point
symmetry, both, or none.
40846
Instruction/Practice:
Symmetry
40847
Independent Practice:
Symmetry Exploratory
41143
Symmetry Handbook
Activity Description
Classify plane figures as having line
symmetry, point symmetry, both, or
none.
Classify plane figures as having line
symmetry, point symmetry, both, or
none.
Classify plane figures as having line
symmetry, point symmetry, both, or
none.
Lesson Quiz: Symmetry
Chapter Test:
Transformations and
Symmetry
Time
Understand the attributes
of time and apply tools.
Telling Time
Elapsed Time
©CompassLearning, Inc. 2016
Tell and show time to the 5
and 1 minute intervals.
40848
Instruction/Practice:
Telling Time
Tell and show time to the 5 and 1
minute intervals.
40849
Independent Practice:
Telling Time Exploratory
41142
Telling Time Handbook
Tell and show time to the 5 and 1
minute intervals.
Tell and show time to the 5 and 1
minute intervals.
Lesson Quiz: Telling Time
Find elapsed time using days
and weeks.
40862
Instruction/Practice:
Elapsed Time A
Find elapsed time using minutes and
hours.
40863
Instruction/Practice:
Elapsed Time B
Find elapsed time using minutes,
hours, days, and weeks.
37
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
40864
Independent Practice:
Elapsed Time Exploratory
Find elapsed time using minutes,
hours, days, and weeks.
40821
Elapsed Time Handbook
Find elapsed time using minutes,
hours, days, and weeks.
Lesson Quiz: Elapsed Time
Time Schedules
Interpret time schedules
using minutes, hours, days,
and weeks.
40937
Instruction/Practice: Time Interpret time schedules using
Schedules
minutes, hours, days, and weeks.
40938
Independent Practice:
Interpret time schedules using
Time Schedule Exploratory minutes, hours, days, and weeks.
41148
Use the customary system
of measurement to
understand the attributes
of length, weight,
capacity, and temperature
and apply appropriate
Customary System measuring techniques.
Customary Units of
Length
©CompassLearning, Inc. 2016
Interpret time schedules using
Time Schedule Handbook minutes, hours, days, and weeks.
Lesson Quiz: Time
Schedules
Chapter Test: Time
Define units of length. (inch,
foot, yard, mile) Estimate
and compare length.
Measure to the nearest
quarter-inch.
38
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
40916
Define units of length. (inch, foot,
yard, mile) Estimate and compare
Instruction/Practice:
length. Measure to the nearest
Customary Units of Length quarter-inch.
40917
Define units of length. (inch, foot,
yard, mile) Estimate and compare
Independent Practice:
Customary Units of Length length. Measure to the nearest
Exploratory
quarter-inch.
40918
Define units of length. (inch, foot,
yard, mile) Estimate and compare
length. Measure to the nearest
quarter-inch.
Length Handbook
Lesson Quiz: Length
Converting Customary
Measurements of
Convert measurements of
Length
length to new units.
40928
40929
40930
Customary Units of
Capacity
Convert measurements of length to
new units.
Convert measurements of length to
new units.
Convert measurements of length to
new units.
Define units of capacity. (cup,
pint, quart, gallon) Estimate
and compare capacity.
40934
©CompassLearning, Inc. 2016
Instruction/Practice:
Converting Measurements
of Length
Independent Practice:
Converting Length
Exploratory
Converting Length
Handbook
Lesson Quiz: Converting
Length
Instruction/Practice:
Customary Units of
Capacity
Define units of capacity. (cup, pint,
quart, gallon) Estimate and
compare capacity.
39
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40935
40936
Converting Customary Convert measurements of
Units of Capacity
capacity to new units.
40939
40940
40941
Customary Units of
Weight
Define units of weight.
(ounce, pound, ton)
Estimate and compare
weight.
Activity Title
Independent Practice:
Customary Units of
Capacity Exploaratory
Capacity Handbook
Lesson Quiz: Capacity
Instruction/Practice:
Converting Customary
Units of Capacity
Independent Practice:
Converting Customary
Units of Capacity
Exploratory
Converting Capacity
Handbook
Lesson Quiz: Converting
Capacity
Activity Description
Define units of capacity. (cup, pint,
quart, gallon) Estimate and
compare capacity.
Define units of capacity. (cup, pint,
quart, gallon) Estimate and
compare capacity.
Convert measurements of capacity
to new units.
Convert measurements of capacity
to new units.
Convert measurements of capacity
to new units.
40945
Instruction/Practice:
Customary Units of
Weight
Define units of weight. (ounce,
pound, ton) Estimate and compare
weight.
40946
Independent Practice:
Customary Units of
Weight Exploratory
Define units of weight. (ounce,
pound, ton) Estimate and compare
weight.
Define units of weight. (ounce,
pound, ton) Estimate and compare
weight.
40947
Weight Handbook
Lesson Quiz: Weight
Converting Customary Convert measurements of
Units of Weight
weight to new units.
©CompassLearning, Inc. 2016
40
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40951
40952
40953
Temperature
Read thermometer to
nearest 2-degree interval.
Compute change in
temperature.
Activity Title
Instruction/Practice:
Converting Customary
Units of Weight
Independent Practice:
Converting Customary
Units of Weight
Exploratory
Converting Weight
Handbook
Lesson Quiz: Converting
Weight
Activity Description
Convert measurements of weight to
new units.
Convert measurements of weight to
new units.
Convert measurements of weight to
new units.
40954
Instruction/Practice:
Temperature
Read thermometer to nearest 2degree interval. Compute change in
temperature.
40955
Independent Practice:
Temperature Exploratory
Read thermometer to nearest 2degree interval. Compute change in
temperature.
Temperature Handbook
Read thermometer to nearest 2degree interval. Compute change in
temperature.
41033
Lesson Quiz: Temperature
Chapter Test: Customary
System
Metric System
The learner will use the
metric system of
measurement to
understand the attributes
of length, weight,
capacity, and temperature
and apply appropriate
measuring techniques.
©CompassLearning, Inc. 2016
41
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Define units of length.
(centimeter, decimeter,
meter) Estimate and
compare length. Measure to
Metric Units of Length the nearest centimeter.
40962
40963
Converting Metric
Units of Length
Convert measurements of
length to new units.
40964
40965
40966
Metric Units of
Capacity
Independent Practice:
Metric Units of Length
Exploratory
Lesson Quiz: Length
41010
Define units of length. (centimeter,
decimeter, meter) Estimate and
compare length. Measure to the
nearest centimeter.
Instruction/Practice:
Converting Metric Units of Convert measurements of length to
Length
new units.
Independent Practice:
Converting Metric Units of
Exploratory
Converting Length
Handbook
Lesson Quiz: Converting
Length
Define units of capacity.
(milliliter, liter) Estimate and
compare capacity.
41009
©CompassLearning, Inc. 2016
Instruction/Practice:
Metric Units of Length
Define units of length. (centimeter,
decimeter, meter) Estimate and
compare length. Measure to the
nearest centimeter.
Instruction/Practice:
Metric Units of Capacity
Independent Practice:
Metric Units of Capacity
Exploratory
Lesson Quiz: Capacity
Convert measurements of length to
new units.
Convert measurements of length to
new units.
Define units of capacity. (milliliter,
liter) Estimate and compare
capacity.
Define units of capacity. (milliliter,
liter) Estimate and compare
capacity.
42
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Converting Metric
Units of Capacity
Lesson Description
Activity Code
Convert measurements of
capacity to new units.
41020
41021
Estimating and
Comparing Mass
Define units of mass. (gram,
kilogram) Estimate and
compare mass.
41011
41012
Converting Mass
Convert measurements of
mass to new units.
40997
Temperature
©CompassLearning, Inc. 2016
Read thermometer to
nearest 2-degree interval.
Compute change in
temperature.
Activity Title
Activity Description
Instruction/Practice:
Converting Metric Units of Convert measurements of capacity
Capacity
to new units.
Independent Practice:
Converting Metric Units of Convert measurements of capacity
Capacity Exploratory
to new units.
Lesson Quiz: Converting
Capacity
Instruction/Practice:
Define units of mass. (gram,
Estimating and Comparing kilogram) Estimate and compare
Mass
mass.
Independent Practice:
Define units of mass. (gram,
Estimating and Comparing kilogram) Estimate and compare
Mass Exploratory
mass.
Lesson Quiz: Mass
Instruction/Practice:
Converting Mass
Lesson Quiz: Converting
Mass
Convert measurements of mass to
new units.
41000
Instruction/Practice:
Temperature (metric)
Read thermometer to nearest 1degree interval. Compute change in
temperature.
41001
Independent Practice:
Temperature Exploratory
Read thermometer to nearest 1degree interval. Compute change in
temperature.
43
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Lesson Quiz: Temperature
Chapter Test: Metric
System
Perimeter, Area,
and Volume
Understand the attributes
of perimeter, area, and
volume capacity and
apply appropriate
techniques, tools, and
formulas to determine
measurements.
Perimeter
Find perimeter by counting
units and by adding lengths.
Measure to find the
perimeter. Select
appropriate label for
measurement.
40971
40972
Instruction/Practice:
Perimeter
Find perimeter by counting units
and by adding lengths. Measure to
find the perimeter. Select
appropriate label for measurement.
Independent Practice:
Perimeter Exploratory
Find perimeter by counting units
and by adding lengths. Measure to
find the perimeter. Select
appropriate label for measurement.
Lesson Quiz: Perimeter
Area
©CompassLearning, Inc. 2016
Find area by counting units.
Multiply to find area. Select
appropriate labels of
measurement.
44
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40974
40975
Comparing Perimeter
and Area
Compare perimeter and area.
Activity Title
Activity Description
Find area by counting units.
Multiply to find area. Select
Instruction/Practice: Area appropriate labels of measurement.
Independent Practice:
Area Exploratory
Lesson Quiz: Area
Find area by counting units.
Multiply to find area. Select
appropriate labels of measurement.
40991
Instruction/Practice:
Comparing Perimeter and
Area
Compare perimeter and area.
40992
Independent Practice:
Comparing Perimeter and
Area Exploratory
Compare perimeter and area.
Lesson Quiz: Comparing
Perimeter and Area
Volume
Find volume by counting
units. Multiply to find
volume. Select appropriate
labels of measurement.
40994
Instruction/Practice:
Volume
Find volume by counting units.
Multiply to find volume. Select
appropriate labels of measurement.
40995
Independent Practice:
Volume Exploratory
Find volume by counting units.
Multiply to find volume. Select
appropriate labels of measurement.
OT40994
©CompassLearning, Inc. 2016
Use models that approximate cubic
units to determine the volume of a
Independent Practice:
given container or threePractice Resource: Volume dimensional figure.
Lesson Quiz: Volume
45
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
Activity Title
Activity Description
Chapter Test: Perimeter,
Area, and Volume
Display and
Interpret Data
Display and interpret data
in charts and graphs.
Frequency Tables
Display and interpret data in
frequency and cumulative
frequency tables, compare
data, and draw conclusions.
40865
40858
Bar Graphs
Instruction/Practice:
Frequency Tables
Frequency Tables
Handbook
Lesson Quiz: Frequency
Tables
Display and interpret data in
frequency and cumulative frequency
tables, compare data, and draw
conclusions.
Display and interpret data in
frequency and cumulative frequency
tables, compare data, and draw
conclusions.
Display and interpret data in
bar and double bar graphs,
compare data, and draw
conclusions.
Display and interpret data in bar and
double bar graphs, compare data,
and draw conclusions.
40874
Instruction/Practice: Bar
Graphs
40877
Display and interpret data in bar and
Independent Practice: Bar double bar graphs, compare data,
Graphs Exploratory
and draw conclusions.
40859
Display and interpret data in bar and
double bar graphs, compare data,
and draw conclusions.
Bar Graphs Handbook
Lesson Quiz: Bar Graphs
©CompassLearning, Inc. 2016
46
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Line and Stem-andLeaf Plots
Lesson Description
Activity Code
Activity Title
Activity Description
Display and interpret data in
line and stem-and-leaf plots,
compare data, and draw
conclusions.
Display and interpret data in line
and stem-and-leaf plots, compare
data, and draw conclusions.
40875
Instruction/Practice: Line
and Stem-and-Leaf Plots
40878
Independent Practice: Line Display and interpret data in line
and Stem-and-Leaf Plot
and stem-and-leaf plots, compare
Exploratory
data, and draw conclusions.
40876
Line and Stem-and-Leaf
Plot Handbook
Display and interpret data in line
and stem-and-leaf plots, compare
data, and draw conclusions.
Lesson Quiz: Line and
Stem-and-Leaf Plots
Line Graphs
Display and interpret data in
a line graph, compare data,
and draw conclusions.
40879
40880
40881
Display and interpret data in a line
graph, compare data, and draw
conclusions.
Display and interpret data in a line
Independent Practice: Line graph, compare data, and draw
Graphs Exploratory
conclusions.
Display and interpret data in a line
graph, compare data, and draw
Line Graphs Handbook
conclusions.
Instruction/Practice: Line
Graphs
Lesson Quiz: Line Graphs
Identify the mean, median,
Mean, Median, Mode, mode, and range from a set
and Range
of data or a graph.
40882
©CompassLearning, Inc. 2016
Instruction/Practice:
Identify the mean, median, mode,
Mean, Median, Mode, and and range from a set of data or a
Range
graph.
47
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
40883
40884
Probability
Activity Description
Independent Practice:
Identify the mean, median, mode,
Mean, Median, Mode, and and range from a set of data or a
graph.
Range Exploratory
Identify the mean, median, mode,
Mean, Median, Mode, and and range from a set of data or a
Range Handbook
graph.
Lesson Quiz: Mean,
Median, Mode, and Range
Chapter Test: Display and
Interpret Data
Apply basic concepts of
probability.
Certainty and
Likelihood
Determine certainty,
likelihood, and fairness of
events.
40850
Instruction/Practice:
Certainty and Likelihood
Determine certainty, likelihood, and
fairness of events.
40851
Independent Practice:
Events Exploratory
Determine certainty, likelihood, and
fairness of events.
41144
Certainty and Likelihood
Handbook
Determine certainty, likelihood, and
fairness of events.
Lesson Quiz: Certainty and
Likelihood
Determine and list the
possible combinations of an
Possible Combinations event.
©CompassLearning, Inc. 2016
Activity Title
40852
Instruction/Practice:
Possible Combinations
Determine and list the possible
combinations of an event.
40853
Independent Practice:
Possible Combinations
Exploratory
Determine and list the possible
combinations of an event.
41145
Possible Combinations
Handbook
Determine and list the possible
combinations of an event.
48
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Calculate Probability
Lesson Description
Activity Code
Activity Title
Activity Description
Lesson Quiz: Possible
Combinations
Calculate probability as a
fraction.
40854
40855
41146
Instruction/Practice:
Calculate Probability
Independent Practice:
Probability Exploratory
Calculate Probability
Handbook
Lesson Quiz: Calculate
Probability
Calculate probability as a fraction.
Calculate probability as a fraction.
Calculate probability as a fraction.
Chapter Test: Probability
Problem-Solving
The learner will learn
heuristics and methods
for solving problems.
Solving Multi-Step
Word Problems
©CompassLearning, Inc. 2016
Solve multistep word
problems using the four
operations. Represent these
problems using equations
with a letter standing for the
unknown quantity. Assess
the reasonableness of
answers.
Solve multistep word problems
using the four operations.
Represent these problems using
equations with a letter standing for
the unknown quantity. Assess the
reasonableness of answers.
OA030
Instruction/Practice:
Solving Multi-Step Word
Problems
M4010
Problem Solving: Solving Instruction: Learn to solve multiMulti-Step Word Problems step word problems.
49
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Lesson Description
Activity Code
M4011
Activity Title
Supported Practice:
Solving Multi-Step Word
Problems
OWOA030
Instruction/Practice:
Assess the solution strategies using
Compass Writer: Solving to determine the solution of a multiMulti-Step Word Problems step word problem.
AQOA030
Mathematical
Practices
Activity Description
Supported Practice: Practice solving
multi-step word problems.
Activity Quiz: Solving MultiStep Word Problems
Lesson Quiz: Basics to
Solving Problems
Chapter Test: ProblemSolving
This chapter addresses
the Mathematical Practice
standards.
Make Sense of
Problems and
Persevere
Students will make sense of
problems and persevere in
solving them.
MA49011
Instruction: Learn to make sense of
Instruction: Make Sense of problems and persevere in solving
Problems and Persevere them.
MA49012
Instruction: Creating and
Using Representations
Instruction: Learn to create and use
representations to solve problems.
MA49013
Instruction: Constructing
Reasonable Arguments
and Critiquing the
Reasoning of Others
Instruction: Learn to construct
viable arguments and critique the
reasoning of others.
Reason Abstractly and Students will reason
Quantitatively
abstractly and quantitatively.
Construct Viable
Arguments and
Critique Reasoning
©CompassLearning, Inc. 2016
Students will construct viable
arguments and critique the
reasoning of others.
50
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Model with
Mathematics
Lesson Description
Students will model with
mathematics.
Activity Code
Look for and Make
Use of Structure
Express Regularity in
Repeated Reasoning
Mathematical
Processes
Students will attend to
precision.
Instruction: Modeling with Instruction: Learn to model
Mathematics
mathematical problems.
MA49015
Instruction: Using Tools
and Strategies to Solve
Problems
Instruction: Using Tools and
Strategies to Solve Problems
MA49016
Instruction: Attending to
Precision
Instruction: Learn to attend to
precision.
MA49017
Instruction: Looking For
and Making Use of
Structure
Instruction: Learn to look for and
make use of structure.
MA49018
Instruction: Looking For
and Using Repeated
Reasoning
Instruction: Learn to look for and
express regularity in repeated
reasoning.
MA49001
Instruction: Applying
Mathematics to Problems Instruction: Learn to apply math to
in Everyday Life
solve everyday problems.
Students will look for and
make use of structure.
Students will express
regularity in repeated
reasoning.
Activity Description
MA49014
Use Appropriate Tools Students will use appropriate
Strategically
tools strategically.
Attend to Precision
Activity Title
This chapter addresses
the Mathematical Process
standards.
Students will apply
Apply Mathematics to mathematics to real-world
Real-World Problems problems.
Use a Problem-Solving Students will use a problemModel
solving model.
©CompassLearning, Inc. 2016
51
Math 4: Scope and Sequence
Chapter Title
Chapter Description
Lesson Title
Select Appropriate
Tools
Communicate
Reasoning
Create and Use
Representations
Lesson Description
Students will select
appropriate tools.
©CompassLearning, Inc. 2016
Activity Title
Activity Description
MA49002
Instruction: Using a
Problem-Solving Model
Instruction: Learn to use a problemsolving model.
MA49003
Instruction: Using Tools
and Strategies to Solve
Problems
Instruction: Learn to select and use
tools and strategies to solve
problems.
MA49004
Instruction:
Communicating
Mathematical Ideas and
Reasoning
Instruction: Learn to communicate
mathematical ideas and to explain
your reasoning.
MA49005
Instruction: Creating and
Using Representations
Instruction: Learn to create and use
representations to solve problems.
MA49006
Instruction: Analyzing
Mathematical
Relationships
Instruction: Learn to analyze
mathematical relationships to solve
problems.
MA49007
Instruction: Displaying and Instruction: Learn to explain
Explaining Mathematical mathematical ideas using precise
Ideas
language and visual diagrams.
Students will communicate
reasoning.
Students will create and use
representations.
Students will analyze
Analyze Relationships relationships.
Use Precise
Mathematical
Language
Activity Code
Students will use precise
mathematical language.
52