UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
Grade: 4th
Time: 6 weeks
Common Core Standards: MAFS.4.NBT.1.1, MAFS.4.NBT.1.2, MAFS.4.NBT.1.3, MAFS.4.OA.1.3, MAFS.4.NBT.2.4
Mathematical Practice: MP.1, MP.2, MP.3, MP.5, MP.6
CCSS Unpacked
Understand (Level 2 & 3)
Know (Level 2)
Vocabulary & Terms:
Equations
Reasonableness
Standard algorithm
Comparisons
Decompose
Decontextualize
Contextualize
Solve two-step word problems using the four operations.
Represent these problems using equations with a letter
standing for the unknown quantity.
Be able to do (Level 3 & 4)
Solve multistep word problems posed with whole numbers
and having whole-number answers using the four operations,
including problems in which remainders must be interpreted.
Assess the reasonableness of answers using mental
computation and estimation strategies including
rounding.
Represent these problems using equations with a letter
standing for the unknown quantity.
Appropriateness
Tape diagram
Bundling
Renaming
Exchanging
Unbundling
Known:
Sum
Difference
Rounding
Place value
Digit
Standard form
Expanded form
Word form
Number line
Regrouping
Trading
Number sentence
Use place value understanding to round whole numbers
to the nearest 10 or 100.
Assess the reasonableness of answers using mental
computation and estimation strategies including rounding.
Fluently add and subtract within 1000 using strategies
and algorithms based on place value, properties of
operations, and/or the relationship between addition and
subtraction.
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.
Assessments
Assessments
Topic Quizzes
Mathematics Unit
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.
Assessments
Mid-Module Assessment
End of Module Assessment
1
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
Grade: 4th
Time: 6 weeks
Unit Goal: I can:
 Solve multistep word problems posed with whole numbers and having whole-number answers using place value, addition and subtraction
 Represent these problems using equations with a letter standing for the unknown quantity.
 Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
 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.
 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
 Compare two multi-digit numbers using place value
 Use place value understanding to round multi-digit whole numbers to any place.
4
In addition to 3.0 content, I will develop a strategy to solve real world problems involving place value, rounding, and estimation.
3
I can:
 Solve multistep word problems posed with whole numbers and having whole-number answers using place value, addition and subtraction
 Represent these problems using equations with a letter standing for the unknown quantity.
 Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
 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.
 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
 Compare two multi-digit numbers using place value
 Use place value understanding to round multi-digit whole numbers to any place.
2
I can:
1

Solve two-step word problems using the place value, addition and subtraction.

Represent two-step word problems using equations with a letter standing for the unknown quantity.

Use place value understanding to round whole numbers to the nearest 10 or 100.

Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship
between addition and subtraction.
With help, I can:

Solve two-step word problems using the place value, addition and subtraction.

Represent two-step word problems using equations with a letter standing for the unknown quantity.

Use place value understanding to round whole numbers to the nearest 10 or 100.

Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship
between addition and subtraction.
Mathematics Unit
2
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
Grade: 4th
Time: 6 weeks
Major Unit Objectives
I can utilize place value to interpret multi-digit whole numbers to: compare, round, estimate, add, subtract and solve multi step word problems.
Models/Tools: place value charts, place value cards, number lines, tape diagrams,
Mathematics Unit
3
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
Instruction
A Place Value of Multi-Digit Whole Numbers
Lesson 1:
Interpret a multiplication equation as a
comparison.
Lesson 2:
Recognize a digit represents 10 times
the value of what it represents in the
place to its right.
Lesson 3:
Name numbers within 1 million by
building understanding of the place
value chart and placement of commas
for naming base thousand units.
Lesson 4:
4.NBT.2
B
C
4
DQ2
Process: direct instruction, concept development scaffolding,
incorporate prior knowledge, turn and talk,
Elaborate: word problems that ask to explain why, homework,
Record: problem set, homework
Reflect: tracking progress, exit tickets
DQ3
ID Similarities & differences: multiplication and division
relationships,
Examine errors: student debrief discussion and review, exit slips
Practice: problem set, homework
2
DQ4
Engage in complex tasks: apply knowledge on assessments and
class discussion, student debrief discussions
Find 1, 10, and 100 thousand more and
less than a given number.
Rounding Multi-Digit Whole Numbers
Lesson 7:
Round multi-digit numbers to the
thousands place using the vertical
number line.
Lesson 8:
Round multi-digit numbers to any place
using the vertical number line.
Mathematics Unit
Days
Read and write multi-digit numbers
using base ten numerals, number
names, and expanded form.
Comparing Multi-Digit Whole Numbers
Lesson 5:
Compare numbers based on meanings
of the digits, using >, <, or = to record
the comparison.
Lesson 6:
4.NBT.3
Time: 6 weeks
Strategies Addressing Content (how will you help students):
Standards Topics and Objectives
4.NBT.1
4.NBT.2
4.OA.1
Grade: 4th
4
4
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
4.OA.3
4.NBT.4
4.NBT.1
4.NBT.2
Lesson 9:
Use place value understanding to round
multi-digit numbers to any place value.
Lesson 10:
Use place value understanding to round
multi-digit numbers to any place value
using real world applications.
Mid-Module Assessment: Topics A–C (review content 1
day, assessment ½ day, return ½ day, remediation or
further applications 1 day)
3
D Multi-Digit Whole Number Addition
Lesson 11:
Use place value understanding to
fluently add multi-digit whole numbers
using the standard addition algorithm
and apply the algorithm to solve word
problems using tape diagrams.
2
Lesson 12:
4.OA.3
4.NBT.4
4.NBT.1
4.NBT.2
E
Mathematics Unit
Time: 6 weeks
Solve multi-step word problems using
the standard addition algorithm
modeled with tape diagrams and assess
the reasonableness of answers using
rounding.
Multi-Digit Whole Number Subtraction
Lesson 13:
Use place value understanding to
decompose to smaller units once using
the standard subtraction algorithm, and
apply the algorithm to solve word
problems using tape diagrams.
Lesson 14:
Grade: 4th
4
Use place value understanding to
decompose to smaller units up to 3
times using the standard subtraction
5
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
Grade: 4th
Time: 6 weeks
algorithm, and apply the algorithm to
solve word problems using tape
diagrams.
4.OA.3
4.NBT.1
4.NBT.2
4.NBT.4
F
Lesson 15:
Use place value understanding 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.
Lesson 16:
Solve two-step word problems using the
standard subtraction algorithm fluently
modeled with tape diagrams and assess
the reasonableness of answers using
rounding.
Addition and Subtraction Word Problems
Lesson 17:
Solve additive compare word problems
modeled with tape diagrams.
Lesson 18:
Solve multi-step word problems
modeled with tape diagrams and assess
the reasonableness of answers using
rounding.
Lesson 19:
Create and solve multi-step word
problems from given tape diagrams and
equations.
End-of-Module Assessment: Topics A through F (review
content 1 day, assessment ½ day, return ½ day,
remediation or further application 1 day)
Total Number of Instructional Days
Mathematics Unit
3
3
25
6
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
Grade: 4th
Time: 6 weeks
Content: How will you vary what students will learn and the materials that represent the content?
-
Re-teaching or remediating Go Math! Lessons
Process: How will you vary activities through which students make sense of key ideas using essential skills?
-Differentiated centers, triple I, Go Math!, small group instruction, math games, grab and go, ALEX, Soar to Success, Think Central,
Product: How will you vary the way students demonstrate and extend what they understand and can do as a result of a span of learning?
-
Building on foundational skills and scaffolding instruction to students eventually applying their knowledge
Leaning Environment: How will you vary the classroom conditions that set the climate, expectations for learning, and physical conditions?
-
Teaching Learning Goals and Scales Expectations, Tracking progress,
-
Routines!
-
Established partnerships.
Mathematics Unit
7
UNIT TITLE: Module 1 Place Value, Rounding and Algorithms for Addition and Subtraction
-
Grade: 4th
Time: 6 weeks
Differentiated peer groups and peer tutoring
Mathematics Unit
8