Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 1: Numeration
Total Time (with summative assessment): 11 days
Performance Assessment: SWBAT use data from a trip to answer questions about planning a vacation.
Lesson Topic/
Mastery?
Objective Resources Assessment Standards Unit Concept Timeline
1. Hundreds
Master
Students will read and
write numbers in the
hundreds.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
Review 2.NBT.1 2- Place Value 1 day
2. Thousands
Teach
Students will read and
write numbers in the
thousands.
(See above) (See above) Prepares for 4.NBT.1 2- Place value 1 day
3. Greater
Numbers
Teach
Students will read and
write numbers in the ten
and hundred thousands.
(See above) (See above) Prepares for 3.NBT.1 and
3.NBT.2
2-Place Value 1 day
4. Ways to
Name Numbers
Master
Students will use ordinal
numbers to show the order
of people or objects. They
will name numbers in
different ways.
(See above) (See above) Prepares for 4.NBT.2
2- Place Value 1 day
5. Comparing
Numbers
Master
Students will compare 3-
digit and 4-digit whole
numbers.
(See above) (See above) 3.NBT.1
Use place value understanding
to round whole numbers to the
nearest 10 or 100.
2-Place Value 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
6. Ordering
Numbers
Master
Students will order 3-digit
and 4-digit whole numbers.
(See above) (See above) 3.NBT.1 2-Place Value 1 day
7. Counting
Money
Teach
Students will find the value
of money, including $5 and
$1 bills, half dollars,
quarters, dimes, nickels
and pennies.
(See above) (See above) Reviews 2.MD.8
2- Place Value 1 day
8. Making
Change
Teach
Students will use coins and
bills to figure out the
change hey should receive
after purchasing an item.
(See above) (See above) Reviews 2.MD.8 2- Place Value 1 day
9. Problem
Solving: Make
an Organized
List
Teach
Students will make an
organized list to represent
information given in a
problem.
(See above) (See above) 3.NBT.1 2- Place Value 1 day
Unit 2: Adding Whole Numbers
Total Time (with summative assessment): 12 days
Performance Assessment: SWBAT analyze data and plan a route for the class using a map and distances of routes.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Addition
Meaning and
Properties.
Students use concrete
materials and concepts of
addition to model the
Communicative,
Associative, and Identity
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
3.OA.9
Identify arithmetic patterns
(including patterns in the
addition table or multiplication
table), and explain them using
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Master
Properties of Addition.
3. Math Manipulatives
4. Interactive Center activities
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
properties of operations.
3.NBT.2
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.
2. Adding on a
Hundred Chart
Master
Students use a hundred
chart to add two-digit
numbers and develop
mental math strategies.
(See above) (See above) 3.OA.9 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
3. Using Mental
Math to Add
Teach
Students solve problems by
adding with mental math.
(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
4. Rounding
Master
Students round two-digit
and three-digit whole
numbers to the nearest ten
or hundred by comparing
to the number halfway
between or by using place
value.
(See above) (See above) 3.NBT.1
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
5. Estimating
Sums
Teach
Students solve problems by
estimating sums.
(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
6. Adding 2-
Digit Numbers
Teach
Students add 2-digit
numbers using paper-and-
pencil methods and use
addition to solve problems.
(See above) (See above) 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
7. Models for
Adding 3-Digit
Numbers
Students add 3-digit
numbers using place-value
blocks or pictures and
record the results using the
(See above) (See above) 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Teach
standard addition
algorithm.
8. Adding 3-
Digit Numbers
Teach
Students add 3-digit
numbers using paper-and-
pencil methods and use
addition to solve problems.
(See above) (See above) 3.NBT.1
3.NBT.2
3.OA.8
Solve two-step word problems
using the four operations.
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.
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
9. Adding 3 or
More Numbers
Check
Students add 3 or more 2-
and/or 3-digit numbers
using paper-and-pencil
methods and use addition
to solve problems.
(See above) (See above) 3.NBT.2
3.OA.8
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
10. Problem
Solving: Draw a
Picture
Teach
Students draw a picture to
solve a problem.
(See above) (See above) 3.NBT.2
3.OA.8
3.MD.3
Draw a scaled picture graph
and a scaled bar graph to
represent a data set with several
categories Solve one-and two-
step “how many more” and
“how many less” problems
using information presented in
scaled bar graphs.
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 3: Subtraction Number Sense
Total Time (with summative assessment): 7 days
Performance Assessment: SWBAT examine data in a shopping list and answer questions regarding the supplies needed for the school carnival.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Subtraction
Meanings
Master
Students recognize
situations when
subtraction is used to
solve a problem and
write number sentences.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
Reviews 2.OA.5 and 2.NBT.5
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
2. Subtracting on a
Hundred Chart
Master
Students will use a
hundred chart to subtract
2-digit numbers and
develop mental math
strategies.
(See above) (See above) Reviews 2.OA.5 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
3. Using Mental
Math to Subtract
Teach
Students will solve
problems by subtracting
with mental math.
(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
4. Estimating
Differences
Teach
Students will solve
problems by estimating
differences.
(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
5. Problem
Solving:
Reasonableness
Teach
Students will solve word
problems and check their
answers for
reasonableness.
(See above) (See above) 3.NBT.2
3.OA.8
3- Multiplication
and Division
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 4: Subtracting Whole Numbers to Solve Problems
Total Time (including summative assessment): 8 days
Performance Assessment: SWBAT examine data given about tickets and prizes at a video arcade, and make a prize log to show the amount of tickets
they would have left after purchasing certain prizes.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Models for
Subtracting 2-
Digit Numbers
Teach
Students subtract 2-digit
numbers using place-value
blocks or pictures and
record the results using the
standard subtraction
algorithm.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.NBT.2
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
2. Subtracting 2-
Digit Numbers
Teach
Students subtract 2-digit
numbers using paper-and-
pencil methods and use
subtraction to solve
problems.
(See above) (See above) 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
3. Models for
Subtracting 3-
Digit Numbers
Teach
Students subtract 3-digit
numbers using place-value
blocks or pictures and
record the results using the
standard subtraction
algorithm .
(See above) (See above) 3.NBT.2
3.OA.8
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
4. Subtracting 3-
Digit Numbers
Teach
Students subtract 3-digit
numbers using paper- and-
pencil methods and use
subtraction to solve
problems.
(See above) (See above) 3.NBT.2
3.OA.8
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
5. Subtracting
Across Zero
Students subtract 3-digit
numbers using paper-and-
pencil methods and use
(See above) (See above) 3.NBT.2 1- Multi-Digit
and Multi-Step
addition and
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 5: Multiplication Meanings and Facts
Total Time (including summative assessment): 12 days
Performance Assessment: SWBAT compare data regarding boxes of cards and the price of each box, and use the information to decide how many
boxes they need to sell to raise money for the soccer team.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Multiplication
as Repeated
Addition
Teach
Students will write
multiplication number
sentences for given
equal group situations,
using the X symbol.
1. nvision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.OA.1
Interpret products of whole
numbers.
3.OA.3
Use multiplication and division
within 100 to solve word
problems in situations
involving equal groups, arrays
and measurement quantities.
3.OA.5
Apply properties of operations
as strategies to multiply and
divide.
3- Fluency in
Multiplication
and Division
1 day
2. Arrays and
Multiplication
Students will write
multiplication sentences
for arrays, use arrays to
find products, and use
(See above) (See above) 3.OA.1
3.OA.3
3- Fluency in
Multiplication
and Division
1 day
Teach
subtraction to solve
problems.
subtraction.
6. Problem
Solving: Draw a
Picture and
Write a Number
Sentence
Teach
Students solve problems
by writing a number
sentence based on a
picture they have drawn
describing the problem.
(See above) (See above) 3.NBT.1
3.OA.8
3.MD.3
1- Multi-Digit
and Multi-Step
addition and
subtraction.
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Teach the Commutative
Property of
Multiplication.
3.OA.4
Determine the unknown whole
number in a multiplication or
division equation relating three
whole numbers.
3.OA.5
Apply properties of operations
as strategies to multiply and
divide.
3.OA.9
3.MD.7.b
Multiply side lengths to find
areas of rectangles with whole-
number side lengths in the
context of solving real world
and mathematical problems,
and represent whole-number
products as rectangular areas in
mathematical reasoning.
3. Using
Multiplication to
Compare
Teach
Students will use models
and write multiplication
sentences to compare
amounts.
(See above) (See above) 3.OA.1
3.OA.3
3- Fluency in
Multiplication
and Division
1 day
4. Writing
Multiplication
Stories
Teach
Students will write math
stories for given
multiplication facts.
(See above) (See above) 3.OA.1
3.OA.3
3.OA.5
3- Fluency in
Multiplication
and Division
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 5. Problem
Solving: Writing
to Explain
Teach
Students will use
objects, words, pictures,
numbers, and
technology to provide a
written explanation
reflecting their
understanding.
(See above) (See above) 3.OA.1
3.OA.3
3.OA.5
3.OA.9
3- Fluency in
Multiplication
and Division
1 day
6. 2 and 5 as
Factors
Teach
Students will use
patterns to multiply with
2 and 5 as factors.
(See above) (See above) 3.OA.3
3.OA.9
3- Fluency in
Multiplication
and Division
1 day
7. 10 as a Factor
Teach
Students will use
patterns to multiply with
10 as a factor.
(See above) (See above) 3.NBT.3
Multiply one-digit whole
numbers by multiples of 10 in
the range 10-90 using strategies
based on place value and
properties of operations.
3.OA.3
3.OA.8
3.OA.9
3- Fluency in
Multiplication
and Division
1 day
8. 9 as a Factor
Teach
Students will use
patterns to multiply with
9 as a factor.
(See above) (See above) 3.OA.3
3.OA.7
Fluently multiply and divide
within 100 using strategies such
as the relationship between
multiplication and division or
properties of operations. By
the end of grade 3, know from
memory all products of two
one-digit numbers.
3.OA.8
3.OA.9
3- Multiplication
and Division
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 9. Multiplying
with 0 and 1
Teach
Students will use
patterns and properties
to multiply with 0 and 1
as factors.
(See above) (See above) 3.OA.3
3.OA.9
3- Fluency in
Multiplication
and Division
1 day
10. Problem
Solving: Two-
Question Problems
Teach
Students will solve for
one problem and use the
solution to complete a
second problem.
(See above) (See above) 3.OA.3
3.OA.8
3- Fluency in
Multiplication
and Division
1 day
Unit 6: Multiplication Facts: Use Known Facts
Total Time (including summative assessment): 9 days
Performance Assessment: SWBAT use bake sale information and apply their knowledge of multiplication to solve problems.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. 3 as a Factor
Teach
Students will use known
facts to find products with
3 as a factor.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.OA.3
3.OA.8
3.MD.7.c
Use tiling to show in a
concrete case that the area of a
rectangle with whole-number
side lengths a and b+c is the
sum of axb and axc. Use area
models to represent the
distributive property in a
mathematical reasoning.
3- Fluency in
Multiplication and
Division
1 day
2. 4 as a Factor
Students will use known
facts and doubles to find
(See above) (See above) 3.OA.3
3.OA.5
3- Fluency in
Multiplication and
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Teach
products with 4 s a factor.
3.OA.8
3.MD.7.c
Division
3. 6 and 7 as
Factors
Teach
Students will use known
facts to find products with
6 and 7 as factors.
(See above) (See above) 3.OA.3
3.OA.8
3.MD.7.c
3- Fluency in
Multiplication and
Division
1 day
4. 8 as a Factor
Teach
Students will use known
facts and doubles to find
products with 8 as a
factor.
(See above) (See above) 3.OA.3
3.MD.7.c
3- Fluency in
Multiplication and
Division
1 day
5. 11 and 12 as
Factors
Teach
Students will use patterns
to multiply with 11 and 12
as factors.
(See above) (See above) 3.OA.1
3.OA.3
3.OA.9
3- Fluency in
Multiplication and
Division
1 day
6. Multiplying
with 3 Factors
Teach
Students will multiply
three numbers and use the
Associative Property of
Multiplication
(See above) (See above) 3.OA.3
3.OA.5
3- Fluency in
Multiplication and
Division
1 day
7. Problem
Solving:
Multiple-Step
Problems
Teach
Students will solve
multiple-step problems.
(See above) (See above) 3.OA.3
3.OA.8
3.MD.8
Solve real world and
mathematical problems
involving perimeters of
polygons, including finding
the perimeter given the side
lengths finding an unknown
side length and exhibiting
rectangles with the same
perimeter and different areas
or with the same area and
different perimeters.
3- Fluency in
Multiplication and
Division
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 7: Division Meanings
Total Time (including summative assessment): 7 days
Performance Assessment: SWBAT create a chart using division to display what a rock collection might look like in different scenarios.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Division as
Sharing
Teach
Students will use models
to solve division problems
involving sharing and
record solutions using
division number
sentences.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.OA.2
Interpret whole-number
quotients of whole numbers.
3.OA.3
3.OA.4
3- Fluency in
Multiplication and
Division
1 day
2. Understanding
Remainders
Teach
Students will learn that
when dividing, there may
be some left over called a
remainder.
(See above) (See above) 3.OA.2
3.OA.3
3- Fluency in
Multiplication and
Division
1 day
3. Division as
Repeated
Subtraction
Teach
Students will use models
to solve division problems
involving repeated
subtraction and record
solutions using division
number sentences.
(See above) (See above) 3.OA.2
3.OA.3
3.OA.4
3- Fluency in
Multiplication and
Division
1 day
4. Writing
Division Stories
Teach
Students will write and
solve number stories
involving division.
(See above) (See above) 3.OA.3
3.OA.4
3- Fluency in
Multiplication and
Division
1 day
5. Problem
Solving: Use
Objects and
Draw a Picture
Teach
Students will solve
problems by using objects
and drawing a picture.
(See above) (See above) 3.OA.3
3.OA.8
3.MD.8
3- Multiplication
and Division
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 8: Division Facts
Total time (including summative assessment): 8 days
Performance Assessment: SWBAT use division to organize data about putting stamps in an album for display.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Relating
Multiplication
and Division
Teach
Students will give a
multiplication fact, state a
related division fact and
vice versa.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.OA.3
3.OA.4
3.OA.7
4- Relationship
between
multiplication and
division
1 day
2. Fact Families
with 2, 3, 4 and
5
Teach
Students will give
quotients for division facts
with divisors of 2, 3, 4 or
5.
(See above) (See above) 3.OA.2
3.OA.3
3.OA.4
3.OA.6
Understand division as an
unknown- factor problem.
3.OA.7
4- Relationship
between
multiplication and
division
1 day
3. Fact Families
with 6 and 7
Teach
Students will give
quotients for division facts
with divisors of 6 and 7.
(See above) (See above) 3.OA.3
3.OA.6
3.OA.7
4- Relationship
between
multiplication and
division
1 day
4. Fact Families
with 8 and 9
Teach
Students will give
quotients for division facts
with divisors of 8 and 9.
(See above) (See above) 3.OA.3
3.OA.6
4- Relationship
between
multiplication and
division
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 3.OA.7
5. Dividing with
0 and 1
Teach
Students will use patterns
and fact families to find
answers to division facts
with 0 and 1.
(See above) (See above) 3.OA.3
3.OA.4
4- Relationship
between
multiplication and
division
1 day
6. Problem
Solving: Draw a
Picture and
Write a Number
Sentence
Teach
Students will solve
division problems
involving sharing and
repeated subtraction by
drawing a picture and
writing a number sentence.
(See above) (See above) 3.OA.3 4- Relationship
between
multiplication and
division
1 day
Unit 9: Patterns and Relationships
Total Time (including summative assessment): 10 days
Performance Assessment: SWBAT create a tower using pattern blocks.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Repeating
Patterns
Teach
Students will identify and
extend repeating geometric
or repeating number
patterns.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.OA.9
1- Multi-Digit and
Multi-Step
addition and
subtraction
1 day
2. Number
Sequences
Teach
Students will identify and
extend whole-number
patterns involving addition
and subtraction.
(See above) (See above) 3.OA.9 1- Multi-Digit and
Multi-Step
addition and
subtraction
1 day
3. Extending Students will extend tables (See above) (See above) 3.OA.9 1- Multi-Digit and 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Tables
Teach
of ordered airs for
situations involving
multiplication, addition, or
subtraction.
Multi-Step
addition and
subtraction
4. Writing Rules
for Situations
Teach
Students will find a rule
and extend the table, given
a table of number pairs.
(See above) (See above) Extends 3.OA.9 1- Multi-Digit and
Multi-Step
addition and
subtraction
1 day
5. Translating
Words to
Expressions
Teach
Students will translate
words or situations to
expressions.
(See above) (See above) Extends 3.OA.9 1- Multi-Digit and
Multi-Step
addition and
subtraction
1 day
6. Geometric
Patterns
Teach
Students will extend
patterns of cubes or tiles.
(See above) (See above) 3.OA.9 1- Multi-Digit and
Multi-Step
addition and
subtraction
5- Geometry
1 day
7. Equal or
Unequal
Teach
Students will compare
expressions to determine if
they are equal or unequal.
(See above) (See above) 1- Multi-Digit and
Multi-Step
addition and
subtraction
1 day
8. Problem
Solving: At It
Out and Use
Reasoning
Teach
Students will use the
strategies Act It Out and
Use Reasoning to solve
problems.
(See above) (See above) 1- Multi-Digit and
Multi-Step
addition and
subtraction
1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 10: Solids and Shapes
Total time (including summative assessment): 10 days
Performance Assessment: SWBAT use their knowledge of 3 dimensional shapes in order to create a chart describing the amount of flat surfaces,
edges, and vertices in each solid figure contained in the diagram.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Solid Figures
Check
Students will identify
solid figures by name
and describe their
attributes.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
Reviews 1.G.2
5- Geometry 1 day
2. Relating Solids
and Shapes
Teach
Students will identify
shapes related to given
solids.
(See above) (See above) Reviews 1.G.2
5- Geometry 1 day
3. Lines and Line
Segments
Check
Students will identify
lines and line segments
and explore their
different relationships.
(See above) (See above) Prepares for 4.G.1 5- Geometry 1 day
4. Angles
Teach
Students will identify
and classify angles in
relation to right angles.
(See above) (See above) Prepares for 4.G.1 5- Geometry 1 day
5. Polygons
Check
Students will identify
and classify polygons.
(See above) (See above) 3.G.1
Understand that shapes in
different categories may share
attributes and that the shared
5- Geometry 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 attributes can define a larger
category. Recognize
rhombuses, rectangles, and
squares as examples of
quadrilaterals that do not
belong to any of these
subcategories.
6. Triangles
Teach
Students will identify
and classify triangles.
(See above) (See above) 3.G.1 5- Geometry 1 day
7. Quadrilaterals
Teach
Students will identify
and classify
quadrilaterals.
(See above) (See above) 3.G.1 5- Geometry 1 day
8. Problem
Solving: Make
and Test
Generalizations
Teach
Students will identify
commonalities among
objects or situations to
make and test
generalizations.
(See above) (See above) 3.G.1 5- Geometry 1 day
Unit 12: Understanding Fractions
Total time (including summative assessment): 12 days
Performance Assessment: SWBAT create tile designs using their knowledge of fractions.
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Dividing
Regions into
Equal Parts
Teach
Students will identify
regions that have been
divided into equal-sized
parts and divide regions
into equal-sized parts.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.NF.1
Understand a fraction 1/b as
the quantity formed by 1 part
when a whole is partitioned
into b equal parts; understand
a fraction a/b as the quantity
formed by a parts of size 1/b.
3.G.2
Partition shapes into parts with
equal areas. Express the area
of each part as a unit fraction
of the whole.
7- Fractions 1 day
2. Fractions and
Regions
Teach
Students will associate the
model, symbol and words
used to describe a
fractional part of a whole
region.
(See above) (See above) 3.NF.1
7- Fractions 1 day
3. Fractions and
Sets
Teach
Students will associate the
model, symbol and words
used to describe a
fractional part of a set.
(See above) (See above) 3.NF.1 7- Fractions 1 day
4. Benchmark
Fractions
Teach
Students use benchmark
fractions to estimate
fractional parts.
(See above) (See above) 3.NF.2.a
Represent a fraction 1/b on a
number line diagram by
defining the interval from 0 to
1 as the whole and partitioning
it into b equal parts.
Recognize that each part has
size 1/b and that the endpoint
of the part based at 0 locates
the number 1/b on the number
line.
7- Fractions 1 day
5. Finding
Equivalent
Fractions
Teach
Students will use models
to find equivalent
fractions.
(See above) (See above) 3.NF.3
Explain equivalence of
fractions in special cases, and
compare fractions by
reasoning about their size.
7- Fractions 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 3.NF.3.a
Understand two fractions as
equivalent if they are the same
size, or the same point on a
number line.
3.NF.3.b
Recognize and generate
simple equivalent fractions.
Explain why the fractions are
equivalent.
6. Using Models
to Compare
Fractions
Teach
Students will use models
to compare fractions.
(See above) (See above) 3.NF.3
3.NF.3.a
3.NF.3.b
7- Fractions 1 day
7. Fractions on
the Number
Line
Check
Students will find and
write fractions and mixed
numbers on a number line.
Students will compare and
order fractions and mixed
numbers.
(See above) (See above) 3.NF.2
Understand a fraction as a
number on the number line;
represent fractions on a
number line diagram.
3.NF.2.a
3.NF.2.b
Represent a fraction a/b on a
number line diagram by
making off a lengths 1/b from
0. Recognize that the
resulting interval has size a/b
and that its endpoint locates
the number a/n on the number
line.
3.NF.3.a
7- Fractions 1 day
8. Using Models
to Add Fractions
Teach
Students will add fractions
with like denominators,
using models.
(See above) (See above) Prepares for 4.NF.3.a 7- Fractions 1 day
9. Using Models
to Subtract
Students will subtract
fractions with like
(See above) (See above) Prepares for 4.NF.3.a 7- Fractions 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Fractions
Teach
denominators, using
models.
10. Problem
Solving: Make a
Table and Look
for a Pattern
Teach
Students will make a table
and look for a pattern to
solve a problem.
(See above) (See above) 3.OA.3 7- Fractions 1 day
Unit 14: Customary Measurement
Total time (including summative assessment): 8 days
Performance Assessment: SWBAT analyze questions involving customary measurement using real-life examples of construction and cooking.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Understanding
Measurement
Teach
Students will understand
the measurement process
and the need for standard
units. Students learn to
measure length with
nonstandard units and to
the nearest inch.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
Prepares for 3.MD.2 6- Measurement 1 day
2. Fractions of an
Inch
Teach
Students will measure
length to the nearest ½
inch and to the nearest ¼
inch.
(See above) (See above) 3.MD.4
Generate measurement data by
measuring lengths using rulers
marked with halves and
fourths of an inch. Show the
data by making a line plot,
6- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 where the horizontal scale is
marked off in appropriate
units- whole numbers, halves,
or quarters
3. Using Inches,
Feet, Yards and
Miles
Teach
Students will choose an
appropriate unit, estimate,
and measure in feet,
yards, and miles.
Students will convert
units among inches, feet
and yards.
(See above) (See above) 3.MD.2
Measure and estimate liquid
volumes and masses of objects
using standard units of grams,
kilograms, and liters. Add,
subtract, multiply or divide to
solve one-step word problems
involving masses or volumes
that are given in the same
units.
6- Measurement 1 day
4. Customary
Units of Capacity
Teach
Students will choose an
appropriate unit and tool,
estimate, and measure in
cups, pints, quarts and
gallons. Students will
identify objects that hold
about a cup, a pint, a
quart, or a gallon.
(See above) (See above) 3.MD.2 6- Measurement 1 day
5. Units of
Weight
Teach
Students will choose an
appropriate unit and tool,
estimate, and measure in
ounces, pounds and tons.
Students identify objects
that weigh about an
ounce, a pound or a ton.
(See above) (See above) 3.MD.2 6- Measurement 1 day
6. Problem
Solving: Act it
Out and Use
Reasoning
Teach
Students will solve
problems by acting out
the information given by
using their reasoning
skills.
(See above) (See above) 3.MD.2 6- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
Unit 15: Metric Measurement
Total time (including summative assessment): 7 days
Performance Assessment: SWBAT analyze data about metric measurements in order to answer questions about making jewelry.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Using
Centimeters and
Decimeters
Teach
Students will estimate and
measure lengths in
centimeters.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.MD.2 6- Measurement 1 day
2. Using Meters
and Kilometers
Teach
Students will choose an
appropriate unit, estimate
and measure in meters and
kilometers. Students
convert units among
kilometers, meters,
centimeters and
millimeters.
(See above) (See above) 3.MD.2
6- Measurement 1 day
3. Metric Units
of Capacity
Teach
Students will choose an
appropriate unit and tool,
estimate and measure in
millimeters and liters.
Students identify objects
that hold about a liter or a
milliliter.
(See above) (See above) 3.MD.2 6- Measurement 1 day
4. Units of Mass
Teach
Students choose
appropriate unit and tool,
estimate and measure in
grams and kilograms.
Students identify objects
(See above) (See above) 3.MD.2 6- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 with a mass of about one
gram or one kilogram.
5. Problem
Solving: Make a
Table and Look
for a Pattern
Teach
Students make a table and
look for a pattern in order
to solve a problem.
(See above) (See above) 3.MD.2 6- Measurement 1 day
Unit 16: Perimeter, Area and Volume
Total time (including summative assessment): 10 days
Performance Assessment: SWBAT design a rug based on criteria given, using their knowledge of area and perimeter.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Understanding
Perimeter
Teach
Students will use standard
units to find the perimeter
of a shape.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.MD.8
4- Measurement 1 day
2. Perimeter of
Common Shapes
Teach
Students will use standard
units to find the perimeter
of a shape.
(See above) (See above) 3.MD.8
4- Measurement 1 day
3. Different
Shapes with the
Same Perimeter
Teach
Students will match
shapes to a given
perimeter and learn that
different shapes can have
the same perimeter.
(See above) (See above) 3.MD.8 4- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 4. Problem
Solving: Try,
Check, Revise
Teach
Students will solve a
problem through the
process of try, check and
revise.
(See above) (See above) 3.NBT.2 4- Measurement 1 day
5. Understanding
Area
Check
Students will use concrete
and pictorial models of
square units to determine
the area of two-
dimensional surfaces.
(See above) (See above) 3.MD.5
Recognize area as an attribute
of plane figures and
understand concepts of area
measurement.
3.MD.5.a
A square with side length 1
unit, called “a square unit,” of
area, and can be used to
measure area.
3.MD.5.b
A plane figure, which can be
covered without gaps or
overlaps by n unit squares is
said to have an area of n
square units.
3.MD.6
Measure areas by counting
unit squares.
3.MD.7
Relate area to the operations
of multiplication and addition.
3.MD.8
4- Measurement 1 day
6. Estimating and
Measuring
Area
Check
Students will estimate and
find the area of irregular
shapes drawn on a grid or
with square units shown.
(See above) (See above) 3.MD.6
3.MD.7
4- Measurement 1 day
7. Volume
Check
Students will find the
volume of solid figures
constructed of cubes.
(See above) (See above) Previews 5.MD.3
4- Measurement 1 day
8. Problem
Solving: Solve a
Students will solve
complex problems asking
(See above) (See above) 3.MD.7
4- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Simpler Problem
Teach
for the area of irregular
shapes.
3.MD.7.b
3.MD.7.d
Recognize area as additive.
Find areas of rectilinear
figures by decomposing them
into non-overlapping
rectangles and adding the
areas of the non-overlapping
parts, applying this technique
to solve real world problems.
Unit 17: Time and Temperature
Total time (including summative assessment): 8 days
Performance Assessment: SWBAT use their knowledge of time and temperature to apply to scenarios of elapsed time, and temperature.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Time to the
Half Hour and
Quarter Hour
Teach
Students will tell time to
the nearest half hour and
quarter hour using analog
and digital clocks, and
identify times as A.M. or
P.M.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.MD.1
Tell and write time to the
nearest minute and measure
time intervals in minutes.
Solve word problems
involving addition and
subtraction of time intervals in
minutes.
4- Measurement 1 day
2. Time to the
Minute
Teach
Students will tell time to
the nearest minute using
analog and digital clocks.
(See above) (See above) 3.MD.1
4- Measurement 1 day
3. Units of Time
Teach
Students will perform
simple conversions for
units of time.
(See above) (See above) 3.MD.1 4- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013
4. Elapsed Time
Teach
Students will find elapsed
time in intervals of
minutes.
(See above) (See above) 3.MD.1
4- Measurement 1 day
5. Temperature
Teach
Students will read
temperatures on Fahrenheit
and Celsius thermometers,
and determine appropriate
temperatures for given
activities.
(See above) (See above) 3.MD.1 4- Measurement 1 day
6. Problem
Solving: Work
Backward
Teach
Students will use the
strategy work backward to
solve problems.
(See above) (See above) 3.MD.1 4- Measurement 1 day
Unit 19: Dividing with 1-Digit Numbers
Total time (including summative assessment): 8 days
Performance Assessment: SWBAT analyze data in a chart and use division to solve problems about a making jewelry.
Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Mental Math
Teach
Students will use
known multiplication
patterns to divide
multiples of 10,100
and 1,000 by a 1-digit
number.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
3.OA.6
Understand division as an
unknown factor problem.
3- Fluency in
Multiplication and
Division
1 day
2. Estimating Students will use (See above) (See above) Prepares for 3.OA.7 3- Fluency in 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Quotients
Check
compatible numbers to
estimate quotients.
Multiplication and
Division
3. Connecting
Models and
Symbols
Teach
Students will use
place-value blocks and
an algorithm to divide
2-digit numbers by 1-
digit numbers.
(See above) (See above) 3.OA.2 3- Fluency in
Multiplication and
Division
1 day
4. Dividing 2-Digit
Numbers
Teach
Students will divide 2-
digit numbers by 1-
digit numbers using
paper and pencil.
(See above) (See above) 3.OA.7 3- Fluency in
Multiplication and
Division
1 day
5. Dividing with
Remainders
Teach
Students will use
arrays and the division
algorithm to divide
numbers with a
remainder.
(See above) (See above) Prepares for 4.OA.3 3- Fluency in
Multiplication and
Division
1 day
6. Problem Solving:
Multiple-Step
Problems
Teach
Students will use
previously learned
skills to solve
multiple-step
problems.
(See above) (See above) 3.OA.8 3- Fluency in
Multiplication and
Division
1 day
Unit 20: Data, Graphs and Probability
Total time (including summative assessment): 11 days
Performance Assessment: SWBAT poll their classmates about a question and make a graph based on their results.
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline
1. Organizing
Data
Teach
Students will use tally
charts to record and
organize survey data.
1. enVision Math book
(student and teacher editions)
2. Pearson interactive learning
videos
3. Math Manipulatives
4. Interactive Center activities
Formative Assessments:
- Student responses to
teacher
questions/problems
- In-class assignments
and quizzes
-Leveled homework
Summative Assessment:
- Chapter test
6- Measurement 1 day
2. Reading
Pictographs and
Bar Graphs
Master
Students will read and
interpret data from a
pictograph and a bar
graph.
(See above) (See above) 3.MD.3 6- Measurement 1 day
3. Making
Pictographs
Master
Students will make a
pictograph from a table or
tally chart.
(See above) (See above) 3.MD.3 6- Measurement 1 day
4. Making Bar
Graphs
Master
Students will make a bar
graph to represent the data
in a table or tally chart.
(See above) (See above) 3.MD.3 6- Measurement 1 day
5. Ordered Pairs
and Line Graphs
Check
Students will locate points
on a coordinate grid and
read and use line graphs.
(See above) (See above) 6- Measurement 1 day
6. How Likely?
Teach
Students will describe
events as likely, unlikely,
impossible, or certain.
Students will compare the
likelihood of events using
the terms for likely, less
likely, equally likely, and
least likely.
(See above) (See above) 6- Measurement 1 day
7. Outcomes and
Experiments
Students will predict the
results of a probability
experiment, conduct the
(See above) (See above) 6- Measurement 1 day
Kirsten Orlovsky
Grade 3 Mathematics
2012-2013 Teach experiment, and compare
the results to the
prediction.
8. Line Plots and
Probability
Teach
Students will use a line
plot to organize the results
of a probability
experiment and to predict
future events.
(See above) (See above) Extends 3.MD.4 6- Measurement 1 day
9. Problem
Solving: Use
Tables and
Graphs to Draw
Conclusions
Teach
Students will solve
problems by using tables
and graphs to draw
conclusions.
(See above) (See above) 3.MD.3 6- Measurement 1 day
***Units 11, 13, and 18 will be included if time permits in the school year. None of the standards are covered
in these chapters that have not already been learned in previous units.***