Common Core Mathematics Unit Lesson Sequence
th
4 Grade Unit 1: Whole Numbers, Place Value and Rounding in Computation
Disclaimer:
The following sample unit is intended to provide an example of a possible flow of instruction. Consider this a work in progress. As a sample instructional
plan, it should invite discussion and development. It is not intended to be prescriptive, only suggestive. It may provide ideas and guidance in the
development of conceptual understanding through a sample sequence of lessons. This UNIT can be adapted, modified, expanded, delivered as-is, or not
used at all. Lessons are not time bound and may extend beyond a day. It simply provides an example unit of instruction which incorporates:
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Integration of the 8 Mathematical Practices
Investigative tasks
Formative assessment and performance assessments
In this unit, you will find that specific standards are NOT listed within each lesson, as lessons integrate multiple standards to better address conceptual
understanding.
Previous Concepts
Grade Level Standard(s)
Central to Lesson
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. For example,
recognize that 700 ÷ 70 = 10 by applying
concepts of place value and division.
Read and write multi‐digit whole numbers using
base‐ten numerals, number names, and
expanded form. Compare two multi‐digit
numbers based on meanings of the digits in each
place, using >, =, and < symbols to record the
results of comparisons.
Use place value understanding to round multi‐
digit whole numbers to any place.
Use place value understanding and properties of
operations to perform multi‐digit arithmetic.
Upcoming Concept
Use the four operations with whole numbers to
solve problems.
4.OA.1
4.OA.2
4.OA.3
Solve problems involving measurement and
conversion of measurements.
4.MD.2
4.MD.3
Generate and analyze patterns.
4.OA.4
4.OA.5
Common Core Mathematics Unit Lesson Sequence
th
4 Grade Unit 1: Whole Numbers, Place Value and Rounding in Computation
Fluently add and subtract multi‐digit whole
numbers using the standard algorithm.
Multiply a whole number of up to four digits by
a one‐digit whole number, and multiply two
two‐digit numbers, using strategies based on
place value and the properties of operations.
Illustrate and explain the calculation by using
equations, rectangular arrays, and/or area
models.
Find whole‐number quotients and remainders
with up to four‐digit dividends and 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, rectangular arrays, and/or area
models.
4.NBT.1
4.NBT.2
4.NBT.3
4.NBT.4
4.NBT.5
4.NBT.6
Common Core Mathematics Unit Lesson Sequence
th
4 Grade Unit 1: Whole Numbers, Place Value and Rounding in Computation
Lesson
Number
Title of Lesson & Description
Resources
The lessons used in this unit have been borrowed from Grade 4: Module 1 on the EngageNY website. In this module, lessons are organized by Topics
(A-F) that will help with building conceptual understanding around the standards that have been identified for this unit.
Topic A: Place Value of Multi-Digit Whole Numbers
(4.NBT.1, 4.NBT.2, 4.OA.1)
1
Students are asked to interpret a multiplication equation as Grade 4: Module 1 (Pgs. 1.A1-1.A.14)
a comparison.
2
Students will recognize that a digit represents 10 times the Grade 4: Module 1 (Pgs. 1.A.15-1.A.27)
value of what it represents in the place to its right.
3
Students are asked to name numbers within 1 million by
Grade 4: Module 1 (Pgs. 1.A.28-1.A.40)
building understanding of the place value chart and
placement of commas for naming base thousand units.
4
Students are asked to read and write multi-digit numbers
Grade 4: Module 1 (Pgs. 1.A.41-1.A.51)
using base ten numerals, number names and expanded
form.
Topic B: Comparing Multi-Digit Whole Numbers
(4.NBT.2)
5
Students are asked to compare numbers based on
Grade 4: Module 1 (Pgs. 1.B2-1.B.13)
meanings of the digits, using >, <, or = to record the
comparison.
6
Students will find 1, 10 and 100 thousand more and less
Grade 4: Module 1 (Pgs. 1.B.14-1.B.24)
than a given number.
Topic C: Rounding Multi-Digit Whole Numbers
(4.NBT.3)
7
Students are asked to round multi-digit numbers to the
Grade 4: Module 1 (Pgs. 1.C.2-1.C.11)
thousands place using the vertical number line.
8
Students are asked to round multi-digit numbers to any
Grade 4: Module 1 (Pgs. 1.C.12-1.C.23)
place using the vertical number line.
9
Students are asked to use their understanding of place
Grade 4: Module 1 (Pgs. 1.C.24-1.C.34)
value to round multi-digit numbers to any place value.
10
Students are asked to use their understanding of place
Grade 4: Module 1 (Pgs. 1.C.35-1.C.46)
value to round multi-digit numbers to any place value using
real world applications.
Common Core Mathematics Unit Lesson Sequence
th
4 Grade Unit 1: Whole Numbers, Place Value and Rounding in Computation
Lesson
Number
11
12
13
14
15
16
Title of Lesson & Description
Resources
Mid-Module Assessment Task
(Pgs. 1.S.1-1.S.6)
Topic D: Multi-Digit Whole Number Addition
(4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4)
Students are asked to use their understanding of place
Grade 4 Module 1 (Pgs. 1.D.2-1.D.13)
value to fluently add multi-digit whole numbers using the
standard addition algorithm and apply the algorithm to
solve word problems using tape diagrams.
Students are asked to solve multi-step word problems
Grade 4 Module 1 (Pgs. 1.D.14-1.D.25)
using the standard addition algorithm modeled with tape
diagrams and assess the reasonableness of answers using
rounding.
Topic E: Multi-Digit Whole Number Subtraction
(4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4)
Students are asked to use their understanding of place
Grade 4 Module 1 (Pgs. 1.E.3-1.E.14)
value to decompose to smaller units once using the
standard subtraction algorithm, and apply the algorithm to
solve word problems using tape diagrams.
Students are asked to use their understanding of place
Grade 4 Module 1 (Pgs. 1.E.15-1.E.26)
value to decompose to smaller units up to 3 times using
the standard subtraction algorithm, and apply the
algorithm to solve word problems using tape diagrams.
Students are asked to use their understanding of place
Grade 4 Module 1 (Pgs. 1.E.27-1.E.38)
value to fluently decompose to smaller units multiple times
in any place using the standard subtraction algorithm, and
apply the algorithm to solve word problems using tape
diagrams.
Students are asked to solve two-step word problems using Grade 4 Module 1 (Pgs. 1.E.39-1.E.52)
the standard subtraction algorithm fluently modeled with
tape diagrams and assess the reasonableness of answers
using rounding.
Common Core Mathematics Unit Lesson Sequence
th
4 Grade Unit 1: Whole Numbers, Place Value and Rounding in Computation
Lesson
Number
17
18
19
Lesson
Number
Title of Lesson & Description
Resources
Topic F: Addition and Subtraction of Word Problems
(4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4)
Students are asked to solve additive compare word
Grade 4 Module 1 (Pgs. 1.F.3-1.F.11)
problems modeled with tape diagrams.
Students are asked to solve multi-step word problems
Grade 4 Module 1 (Pgs. 1.F.12-1.F.20)
modeled with tape diagrams and assess the
reasonableness of answers using rounding.
Students are asked to create and solve multi-step word
Grade 4 Module 1 (Pgs. 1.F.21-1.F.32)
problems for give tape diagrams and equations
End-of-Module Assessment Task
(Pgs. 1.S.7-1.S.13)
Title of Lesson & Description
Resources
The Grade 4 Module 1 from EngageNY falls short in addressing standards 4.NBT.5 and 4.NBT.6. For this reason, tasks from the Georgia Department of
Education have been included to assist in addressing these two standards.
20
Students are asked to make diagrams to discover and
Georgia Department of Education:
demonstrate the answers to 2-digit to 4-digit multiplication Unit 2: Multiplication and Division of Whole Numbers
story problems. This task provides opportunities for
(Pgs. 58-63)
students to work with arrays in real world situations as
they work with larger numbers.
21
Students explore their understanding of multiplication and Georgia Department of Education:
how it applies to multiplying 1-dgit and 2-digit numbers by Unit 2: Multiplication and Division of Whole Numbers
up to 4-digit whole numbers. This task should be
(Pgs. 64-69)
completed before students have any experiences with the
standard algorithm for multiplying two digit numbers.
Common Core Mathematics Unit Lesson Sequence
th
4 Grade Unit 1: Whole Numbers, Place Value and Rounding in Computation
Lesson
Number
22
23
Title of Lesson & Description
Students are asked to analyze multiplication and division
expressions to find patterns and make connections among
division and multiplication problems.
Students explore why dividing by zero is undefined. In
addition, students will also determine whether a child’s
work is mathematically sound and give evidence for their
conclusions.
Resources
Georgia Department of Education:
Unit 2: Multiplication and Division of Whole Numbers
(Pgs. 78-82)
Georgia Department of Education:
Unit 2: Multiplication and Division of Whole Numbers
(Pgs. 83-88)