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FREEHOLD BOROUGH SCHOOL DISTRICT
280 Park Avenue
Freehold, NJ 07728
Monmouth County
Office of Curriculum & Instruction
Course Title: Math
Grade: 2
Board of Education Adoption Date: June 6, 2016
ii
Freehold Borough Board of Education
Dr. Michael Lichardi, President Mrs. Susan Greitz, Vice President
Mr. Paul Ceppi
Mr. Paul Jensen
Mrs. Annette Jordan
Mr. James Keelan
Mr. Bruce Patrick
Mrs. Margaret Rogers
Mrs. Michele Tennant
District Administration
Rocco Tomazic, Ed. D., Superintendent
Joseph Howe, School Business Administrator
Cheryl Romano, Director of Curriculum & Instruction
Jennifer O’Shea, Director of Special Programs
Jennifer Donnelly, Director of Technology & Assessment
Cecilia Zimmer, Supervisor of Instruction – ESL, Bilingual & World Languages
Ronnie Dougherty, Principal – Freehold Intermediate School
John Brovak, Assistant Principal – Freehold Intermediate School
Patrick Mulhern, Principal – Park Avenue Elementary School
William Smith, Principal – Freehold Learning Center
Curriculum Committee
Michele Prouty
iii
Freehold Borough School District
District Mission
We will inspire the creativity and imagination of all students and empower them as
knowledgeable, skillful, and confident learners who flourish and contribute willingly in a
changing world.
Core Beliefs
We believe that:
● All people have inherent worth.
● Life-long learning is basic to the survival and advancement of society.
● The primary influence on the individual's development is the family in all its forms.
● Valuing diversity is essential to individual growth and the advancement of society.
● All individuals have strengths and human potential has no known limits.
● Democracy thrives when individuals accept responsibility for their choices.
● Being trustworthy builds trust.
● Creativity and imagination are essential for society to flourish.
● A safe environment is essential for the well-being of the individual and for society to
flourish
iv
Freehold Borough School District
Philosophy
The philosophy for our curriculum is developed with a democratic system of beliefs and values.
Believing that our students deserve the best education, our curriculum is aligned to the most
current New Jersey Core Curriculum Content Standards and current statewide assessments. Our
scope and sequence is vertically and horizontally aligned. The progression of objectives
embraces decades of rigorous research, conducted both independently and at the university level,
and acknowledges that children develop differently and that learning experiences and strategies
for performance are differentiated. Our borough is a diverse community, rich in tradition and
spirit. Knowledge is a fusion balancing authentic experience and content, which language arts
literacy skills are integrated with other content areas. Our curriculum contains common
expectations that are rigorous and student centered, and teachers, who are most proximal to the
children, will use this document as an instrument to ensure student success.
To ensure that our children are successful and receive the best education, this curriculum
document, our staff will continuously collaborate on this living document. We will develop
purposeful and effective formative and summative assessments which measure growth of our
curriculum and inform our instruction. Finally, we will continuously seek to grow professionally
through professional development, which is aligned to statewide regulations, but specifically
geared to benefit our curriculum, school, and children.
General Curriculum & Instruction Objectives
● Teachers will employ lessons that are aligned to our curriculum and framed utilizing
current research-based methods and techniques that focus on student achievement
● Our lessons will be structured according to statewide and district standards and our
teachers will have flexibility to ensure that lessons meet the needs of all learners
● Units and lessons will be differentiated
● Curriculum is be student focused on success and balances developmental theory and
psychometric standards
● Democratically developed benchmarks and assessments will be utilized to gauge student
and curricular growth. Assessment will be multidimensional and developed according to
student need.
v
Table of Contents
Educational Outcome Goals 1
Core Materials 2
Pacing Guide 3
Unit 1: Number Sense 4
Unit 2: Numerical Operations 10
Unit 3: Measurement and Data Analysis 15
Unit 4: Geometry 22
1
Educational Outcome Goals/Course Overview
In Grade 2, instructional will focus on four critical areas: (1) extending understanding of base-ten
notation; (2) building fluency with addition and subtraction; (3) using standard units of measure;
and (4) describing and analyzing shapes.
1. Students extend their understanding of the base-ten system. This includes ideas of
counting in fives, tens, and multiples of hundreds, tens, and ones, as well as number
relationships involving these units, including comparing. Students understand multi-digit
numbers (up to 1000) written in base-ten notation, recognizing that the digits in each
place represent amounts of thousands, hundreds, tens, or ones (e.g., 853 is 8 hundreds + 5
tens + 3 ones).
2. Students use their understanding of addition to develop fluency with addition and
subtraction within 100. They solve problems within 1000 by applying their understanding
of models for addition and subtraction, and they develop, discuss, and use efficient,
accurate, and generalizable methods to compute sums and differences of whole numbers
in base-ten notation, using their understanding of place value and the properties of
operations. They select and accurately apply methods that are appropriate for the context
and the numbers involved to mentally calculate sums and differences for numbers with
only tens or only hundreds.
3. Students recognize the need for standard units of measure (centimeter and inch) and they
use rulers and other measurement tools with the understanding that linear measure
involves an iteration of units. They recognize that the smaller the unit, the more iterations
they need to cover a given length.
4. Students describe and analyze shapes by examining their sides and angles. Students
investigate, describe, and reason about decomposing and combining shapes to make other
shapes. Through building, drawing, and analyzing two- and three-dimensional shapes,
students develop a foundation for understanding area, volume, congruence, similarity,
and symmetry in later grades.
2
Core Material
Connect-ed
McGraw-Hill My Math © McGraw-Hill Education
3
Pacing Guide
Unit Anticipated Timeframe
Number Sense
Addition and subtraction concepts
Number Patterns
Place Value
Add 2 digit numbers
Subtract 2 digit numbers
Quarter 1
8 days
10 days
10 days
7 days
7 days
Numerical Operations
Add Two Digit Numbers
Subtract Two Digit Numbers
Add Three Digit Numbers
Subtract Three Digit Numbers
Quarter 2
12 days
12 days
14 days
14 days
Measurement And Data Analysis
Money
Data Analysis
Time
Customary and Metric Lengths
Quarter 3
10 days
10 days
12 days
10 days
Geometry
Geometric Shapes and Equal Shapes
Comparing lengths of objects
Measurement and Data- line plots
Fluently add and subtract within 100 using
strategies based on place value, properties
of operations, and/or the relationship
between addition and subtraction.
Quarter 4
20 days
10 days
5 days
7 days
Days are approximate
4
Unit Plan Unit 1: Number Sense
Suggested Time Frame Quarter 1
Overview / Rationale
What is this unit about? What will students be able to independently use their learning to do?
Use addition and subtraction within 100 to solve one- and two- step word problems involving
situations of adding to, taking from, putting together, taking apart, and comparing, with
unknowns in all positions; e.g., by using drawings and equations with a symbol for the
unknown number to represent the problem. Read and write numbers to 1000 in expanded and
word form. Count within 1000; skip-count by 5s, 10s, and 100s, and identify odd/even
numbers.
Stage 1 – Desired Results
Established Goals: Standards to be covered…
2.OA.1. Add and subtract within 20 to solve 1- and 2-step word problems with unknowns in
any position.
2.OA.2* Fluently add and subtract within 20 using mental strategies (By end of grade 2
know from memory all sums of two one digit numbers.)
2.OA.3 Determine whether a group of objects up to 20 has ans odd or even number of
members in it
2.NBT.1 Represent a 3-digit number as specific amounts of 100s, 10s, and 1s.
2.NBT.1 Identify ten tens as 100 and represent two hundred, three hundred, ..., nine hundred
with 2, 3, ..., 9 hundred bundles (with zero tens and zero ones).
2.NBT.2 Skip count by 5s and 10s up to 100 ... beginning at any multiple of 5.
2.NBT.3 Read numbers to 1000 using base-ten numerals, number names, and expanded form.
2.NBT.3 Write numbers to 1000 using base-ten numerals, number names, and expanded form.
2.NBT.4 Use symbols >, =, <, to record the results of comparing two 3-digit numbers by
decomposing the number into a number of 100s, 10s, and 1s.
2.NBT.5 Fluently add and subtract within 100 using the strategies based on place value,
properties of operations, and back / or the relationship between addition and
subtraction.
* embedded throughout the curriculum
Enduring Understandings: ● Numbers are used in the real world to
tell how many, to tell order, and as a
name.
● Operations create relationships
between numbers
Essential Questions: ● What strategies can be used to add and
subtract?
● How can equal groups help when
adding?
● How can place value help when
5
● There can be different strategies to
solve a problem
● Numerical quantities can be compared
in a variety of ways
● Numerical quantities can be
represented and compared in a variety
of ways.
● Our number system is based on groups
of 10 and the structure of the base ten
numeration produces many numerical
patterns.
● The value of a digit in a written
numeral depends on its place, or
position, in a number.
● Multiplication and addition are
directly related.
adding two and three digit numbers?
● What questions can be answered
using addition and/or subtraction?
● How can I use the properties of
addition to help me add three or more
numbers?
● How do mathematical operations
relate to each other?
● How do I know which mathematical
operation (+, -) to use?
● How can making groups of ten help
me to add and subtract numbers
fluently?
Knowledge: Students will know…
● Using mental strategies can help to
add or subtract fluently.
● Place value can be used to compare
and order numbers.
● Numbers can be written using
numerical symbols, words and in
expanded form.
● The symbols of greater than, less than,
equal signs are used to represent
greater than, less than and equal to
when comparing numbers.
● Mental addition and subtraction
strategies assist with the fluency of
problem solving.
● The operation of multiplication is
related to the operation of repeated
addition.
Skills: Students will be able to…
● Use addition and subtraction within 20
to solve one and two step word
problems with unknowns in any
position
● mentally add and subtract within 20
● represent a 3 digit number as specific
amounts of 100’s 10’s and 1’s
● skip count by 5’s and 10’s up to 100
● read numbers to 1000 using base 10
numerals, number names, and
expanded form
● write numbers to 1000 using base 10
numerals, number names, and
expanded form
● Use symbols >, =, <, to record the
results of comparing two 3-digit
numbers by decomposing the number
into a number of hundreds tens and
ones
● Use and create arrays up to 5 rows and
5 columns
● Find odd and even number patterns
6
In this unit plan, the following 21st Century Life and Careers skills are addressed:
Check ALL that apply –
21st Century Themes
Indicate whether these skills are:
● E – encouraged
● T – taught
● A – assessed
Career Ready Practices
9.1 Personal Financial Literacy CRP1. Act as a responsible and
contributing citizen and employee.
X Income and Careers E,T,A CRP2. Apply appropriate
academic and technical skills.
X Money Management CRP3. Attend to personal health
and financial well-being.
Credit and Debt Management T, A CRP4. Communicate clearly and
effectively and with reason.
Planning, Saving, and Investing CRP5. Consider the
environmental, social and economic
impacts of decisions.
Becoming a Critical Consumer E CRP6. Demonstrate creativity and
innovation.
Civic Financial Responsibility CRP7. Employ valid and reliable
research strategies.
Insuring and Protecting E,T,A CRP8. Utilize critical thinking to
make sense of problems and
persevere in solving them.
9.2 Career Awareness, Exploration,
and Preparation
CRP9. Model integrity, ethical
leadership and effective
management.
Career Awareness CRP10. Plan education and career
paths aligned to personal goals.
Career Exploration CRP11. Use technology to enhance
productivity.
Career Preparation CRP12. Work productively in teams
while using cultural global
competence.
Interdisciplinary Connections
Other standards covered:
RI.2.1 Ask and answer such questions as who, what, where, when, why, and how to
demonstrate understanding of key details in a text.
RI.2.5 Know and use various text features (e.g., captions, bold print, subheadings, glossaries,
indexes, electronic menus, and icons) to locate key facts or information in a text.
RL.2.1 Ask and answer such questions as who, what, where, when, why, and how to
demonstrate understanding of key details in a text.
RL.2.7 Use information gained from the illustrations and words in print or digital text to
7
demonstrate understanding of its characters, setting, or plot.
Student Resources
Primary Source
Readings
McGraw-Hill My Math
Secondary Source
Readings
The Grapes of Math, Greg Tang
Amanda Bean’s Amazing Dream, Cindy Neuschwander
Odd Todd and Even Steven, Kathryn Cristaldi
One Hundred Angry Ants, Elinor Pinczes
Math For All Seasons, Gregory Tang
Two of Everything: A Chinese Folktale, Lilly Toy Hong
12 Ways to Get to 11, Eve Merriam
Supporting Text pages Chapter 1 Apply Addition and Subtraction Concepts p. 3-98
Chapter 2 Number Patterns p.101-156
Chapter 5 Place Value to 1000 p. 287-342
Teacher Resources
Texts: McGraw-Hill My Math
Supplemental Workbooks: McGraw-Hill My Math
Websites:
http://connected.mcgraw-hill.com/connected/login.do
www.brainpopjr.com
http://www.kidsnumbers.com
http://www.coolmath4kids.com/
http://www.aplusmath.com/games/
http://www.nlvm.usu.edu.com
http://www.factmonster.com/n
www.oswego.org/ocsd
Worksheets:
Videos: McGraw-Hill connect-ed My Math
Brain Pop Jr.
Stage 2 – Assessment Evidence
Performance Task(s):
Assessments:
http://www.insidemathematics.org/common-
core-resources/mathematical-content-
Other Evidence:
Pre-Assessments, Formative Assessments,
Summative Assessments
Teacher observations
8
standards/standards-by-grade/2nd-grade
http://www.noycefdn.org/math.php
Do nows
Group discussion
Turn and talk to a partner
Quizzes/Tests
Exit Slips
McGraw Hill My Math Chapters 1, 2, 5
http://www.state.nj.us/education/modelcurricu
lum/math/2u1.shtml
http://www.state.nj.us/education/modelcurricu
lum/math/2u2.shtml
Stage 3 – Learning Plan
Instructional
Strategies
Descriptions
Suggested Pacing
Guide:
Addition and subtraction concepts - 8 days
Number Patterns - 10 days
Place Value - 10 days
Add 2 digit numbers - 7 days
Subtract 2 digit numbers - 7 days
Suggested
Learning
Activities
Foldables, flashcards, number lines, counters, dice, dominoes
Academic Vocabulary: Add • Addend • Sum • Doubles • Count On •
Difference • Minus • Subtract • Count Back • Odd • Even
Modifications Special Education Students: (These are just suggested ideas to modify
instruction. All modifications and accommodations should be specific
to each individual child’s IEP)
Special Needs: reduce/revise assignments & assessments as per IEP; use
manipulatives & calculators; provide individual & small group help;
notes, and study guides; provide background knowledge.
ELL: use consistent, simplified language; maintain word wall; provide
bilingual partner; provide cooperative learning opportunities; use
modeling; use visual aids & manipulatives.
9
Low Support: foster positive relationships; use mental models; provide
help formulating specific questions.
Early Finishers/Advanced students: provide additional enrichment
activity involving demonstrating knowledge, or complimentary
assignment.
D indicates differentiation at the lesson level
10
Unit Plan Title Unit 2: Numbers and Operations
Suggested Time Frame Quarter 2
Overview / Rationale
What is this unit about? What will students be able to independently use their learning to do?
Students use their understanding of addition to develop fluency with addition and subtraction
within 100. They solve problems within 1000 by applying their understanding of models for
addition and subtraction, and they develop, discuss, and use efficient, accurate, and generalizable
methods to compute sums and differences of whole numbers in base-ten notation, using their
understanding of place value and the properties of operations. They select and accurately apply
methods that are appropriate for the context and the numbers involved to mentally calculate sums
and differences for numbers with only tens or only hundreds.
Stage 1 – Desired Results
Established Goals: Standards to be covered…
2.OA.1 Add and subtract within 20 to solve 1- and 2-step word problems with unknowns in
any position.
2.OA.2. Fluently add and subtract within 20 using mental strategies (By end of grade 2
know from memory all sums of two one digit numbers.)
2.NBT.5 Fluently add and subtract within 100 using strategies based on place value, properties
of operations, and/or the relationship between addition and subtraction.
2.NBT.7 Add and subtract within 1000, using concrete models or drawings and strategies
based on place value, properties of operations, and / or the relationship between
addition and subtraction; relate the strategy to a written method. Understand that and
in adding and subtracting 3 digit numbers, one adds or subtracts hundreds and
hundreds, tens and tens, ones and ones; and sometimes it is necessary
to compose or decompose tens or hundreds.
2.NBT.9 Explain why properties of addition and subtraction work, using place value and the
properties of operations.
Enduring Understandings:
● Operations create relationships between
numbers
● There can be different strategies to
solve a problem
● There are many strategies for solving
addition and subtraction facts.
Essential Questions:
● What does it mean to borrow and
regroup?
● How do mental strategies help you to
subtract fluently?
● What is the relationship between
addition and subtraction?
● How does using a different strategy
11
● There is an inverse relationship
between addition and subtraction
facts.
● A number sequence can be obtained
through adding and subtracting.
● The value of a digit depends on its
place in a given number.
help you to understand the relationship
between addition and subtraction?
Knowledge: Students will know…
● Regrouping with subtraction problems
involves borrowing tens to add to ones.
● Using mental strategies can help to
subtract fluently.
● Numbers can be represented in
different or equivalent ways.
● There is a relationship between addition
and subtraction.
● Regrouping is a way to show a number
a different way
Skills: Students will be able to…
● Use place value knowledge to
accurately subtract two digit numbers.
● Begin to use mental strategies for
subtraction of two digit numbers.
● Create and solve one and two step word
problems about joining and separating.
● Fluently add and subtract within 100
using strategies based on place value,
properties of operations, and / or the
relationship between addition and
subtraction.
● Add 3 three-digit numbers without
regrouping
● Subtract 3 three-digit numbers without
regrouping
● Add 3 three digit numbers with
regrouping ones to the tens place/tens
to the hundreds
● Subtract 3 three digit numbers with
regrouping to the tens to the ones
place/ hundreds to the tens place
In this unit plan, the following 21st Century Life and Careers skills are addressed:
Check ALL that apply –
21st Century Themes
Indicate whether these skills are:
● E – encouraged
● T – taught
● A – assessed
Career Ready Practices
9.1 Personal Financial Literacy CRP1. Act as a responsible and
contributing citizen and employee.
Income and Careers E,T,A CRP2. Apply appropriate academic
and technical skills.
12
Money Management CRP3. Attend to personal health
and financial well-being.
Credit and Debt Management E,T CRP4. Communicate clearly and
effectively and with reason.
Planning, Saving, and Investing CRP5. Consider the environmental,
social and economic impacts of
decisions.
Becoming a Critical Consumer E CRP6. Demonstrate creativity and
innovation.
Civic Financial Responsibility CRP7. Employ valid and reliable
research strategies.
Insuring and Protecting E,T,A
CRP8. Utilize critical thinking to
make sense of problems and
persevere in solving them.
9.2 Career Awareness, Exploration, and
Preparation
CRP9. Model integrity, ethical
leadership and effective management.
X
Career Awareness CRP10. Plan education and career
paths aligned to personal goals.
Career Exploration CRP11. Use technology to enhance
productivity.
Career Preparation CRP12. Work productively in teams
while using cultural global
competence.
Interdisciplinary Connections
Other standards covered:
RI.2.1 Ask and answer such questions as who, what, where, when, why, and how to demonstrate
understanding of key details in a text.
RI.2.5 Know and use various text features (e.g., captions, bold print, subheadings, glossaries,
indexes, electronic menus, and icons) to locate key facts or information in a text.
RL.2.1 Ask and answer such questions as who, what, where, when, why, and how to demonstrate
understanding of key details in a text.
RL.2.7 Use information gained from the illustrations and words in print or digital text to
demonstrate understanding of its characters, setting, or plot.
Student Resources
Primary Source
Readings
McGraw-Hill My Math
Volume 1
Secondary Source
Readings
A Place for Zero: A Math Adventure, Angleine Sparanga LoPresti2
26 Letters and 99 Cents, Tara Hoban
One Grain Of Rice, Demi
Even Steven Odd Todd, Lathryn Cristaldi
13
Spaghetti and Meatballs For All, Marilyn Burns
Math Counts Pattern, Henry Pluckrose
Sea Squares, Joy N. Hulume
Only One, Marc Harshman
Supporting Text pages Chater 3 Add Two Digit Nnumbers pg. 159-214
Chapter 4 Subtract Two Digit Numbers pg 217-284
Cahpter 6 Add three Digit Numbers pg. 345-404
Chapter 7 Subtract Thre digit Numbers pg. 407-472
Teacher Resources
Texts: McGraw HIll My Math
Supplemental Workbooks: McGraw-Hill My Math
Websites:
http://connected.mcgraw-hill.com/connected/login.do
www.brainpopjr.com
http://www.kidsnumbers.com
http://www.coolmath4kids.com/
http://www.aplusmath.com/games/
http://www.nlvm.usu.edu.com
http://www.factmonster.com/n
www.oswego.org/ocsd
Worksheets:
Videos: McGraw-Hill My Math
Brain Pop Jr.
Stage 2 – Assessment Evidence
Performance Task(s):
Research Projects
Assessments:
http://www.insidemathematics.org/common-
core-resources/mathematical-content-
standards/standards-by-grade/2nd-grade
http://www.noycefdn.org/math.php
Other Evidence:
Pre-Assessments, Formative Assessments,
Summative Assessments
Teacher observations
Do nows
Group discussion
Turn and talk to a partner
Quizzes/Tests
Exit Slips
McGraw Hill My Math
Chapter 3, 4, 6, 7 assessments
14
Stage 3 – Learning Plan
Instructional
Strategies
Descriptions
Suggested Pacing
Guide:
Add Two Digit Numbers - 12 days
Subtract Two Digit Numbers - 12 day
Add Three Digit Numbers - 14 days
Subtract Three Digit Numbers - 14 days
Suggested
Learning
Activities
Flash cards, place value chart, graph paper, dice, dominoes
Academic Vocabulary: Place Value • Hundreds • Tens • Ones • Expanded
Form • Skip Count • Word Form • Standard Form• Compare • Greater
Than • Less Than • Equal To • Symbol • Greatest • Least• Add • Addend •
Sum • Doubles • Count On • Difference • Minus • Subtract • Count Back •
Regroup• Hundreds • Tens • Ones • Addends • Sum • Regroup • Difference
• Subtract • Inverse • Relationship
Modifications Special Education Students: (These are just suggested ideas to modify
instruction. All modifications and accommodations should be specific to
each individual child’s IEP)
Special Needs: reduce/revise assignments & assessments as per IEP; use
manipulatives & calculators; provide individual & small group help; notes,
and study guides; provide background knowledge.
ELL: use consistent, simplified language; maintain word wall; provide
bilingual partner; provide cooperative learning opportunities; use
modeling; use visual aids & manipulatives.
Low Support: foster positive relationships; use mental models; provide
help formulating specific questions.
Early Finishers/Advanced students: provide additional enrichment
activity involving demonstrating knowledge, or complimentary
assignment.
D indicates differentiation at the lesson level
15
Unit Plan Title Unit 3: Measurement and Data
Suggested Time Frame Quarter 3
Overview / Rationale
What is this unit about? What will students be able to independently use their learning to
do?
Students will use a variety of tools to explore measurement. and learn how to represent
data. Concepts about of money, data analysis, time and customary and metric units of
length will be explored.
Students recognize the need for standard units of measure (centimeter and inch) and they
use rulers and other measurement tools with the understanding that linear measure
involves an iteration of units. They recognize that the smaller the unit, the more iterations
they need to cover a given length.
Stage 1 – Desired Results
Established Goals:
Standards to be covered…
2.MD.5 Use addition of attractions in 100 to solve word problems involving lengths that
are given in the same units, e.g, by using drawings (such as drawings of rulers)
and equations with a symbol for the unknown number to represent the problem.
2.MD.6 Represent whole numbers and links from zero on a number line diagram with
equally spaced points corresponding to the numbers 0,1, 2,..., and represent
whole number sums and differences within 100 on a number line.
2.MD.7 Tell and write time from analog and digital clock to the nearest five minutes, \
using am and pm.
2.MD.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and
pennies, using $ and ¢ symbols appropriately.
2.MD.10 Draw a picture graph and bar graph with single-unit scale to represent a data set
with up to four categories. So if sample put together take apart and compare
problems using information presented in a bar graph.
16
Enduring Understandings:
● The correct amount of money is
necessary for making purchases.
● Graphs are useful ways to organize
data because they quickly show us a
large amount of information.
● The use of pictures, numbers, and
words are important in problem
solving.
● The ability to manipulate money by
estimating and making change is a
skill used in everyday life.
● Graphing is a means of representing
and interpreting data.
● There are many ways to represent
the quantification of time.
Essential Questions:
● What are the important parts of a
graph?
● What do the pictures mean on a
picture graph?
● What do the bars mean on a bar
graph?
Knowledge:
Students will know…
● Pennies, nickels, dimes, quarters,
and dollar bills have different
values.
● Money amounts can be represented
using different coin amounts.
● The dollar and cents sign are used to
represent money value.
● The use of pictures, numbers, and
words are important in problem
solving.
● Graphing is a means of representing
and interpreting data.
● There are many ways to represent
the quantification of time.
● The use of pictures, numbers, and
words are important in problem
Skills:
Students will be able to…
● Identify pennies, nickels, dimes,
and quarters and their value.
● Solve word problems using
different amounts of money.
● Tell and write time to the nearest
five minutes on analog and digital
clocks.
● Interpret data and information from
tally charts, picture charts, and bar
graphs
● Make and analyze line plots.
● Generate measurement data by
measuring lengths of several object
to the nearest whole unit or by
making repeated measurements of
the same object.
17
solving.
● A 24 hour day is divided into two
12-hour blocks of time.
● Digital clocks and analog clock can
represent the same time in different
ways.
● Each number on an analog clock
represents five minute intervals.
● There are a variety of standard
measuring tools available.
● The same measurement can be
represented in different ways.
In this unit plan, the following 21st Century Life and Careers skills are addressed:
Check ALL that apply –
21st Century Themes
Indicate whether these skills are:
• E – encouraged
• T – taught
• A – assessed
Career Ready Practices
9.1 Personal Financial Literacy CRP1. Act as a responsible and
contributing citizen and
employee.
Income and Careers E,T,A CRP2. Apply appropriate
academic and technical skills.
Money Management CRP3. Attend to personal health
and financial well-being.
Credit and Debt Management E, T CRP4. Communicate clearly and
effectively and with reason.
Planning, Saving, and Investing CRP5. Consider the
environmental, social and
economic impacts of decisions.
18
Becoming a Critical Consumer E CRP6. Demonstrate creativity
and innovation.
Civic Financial Responsibility CRP7. Employ valid and reliable
research strategies.
Insuring and Protecting E,T,A CRP8. Utilize critical thinking
to make sense of problems and
persevere in solving them.
9.2 Career Awareness,
Exploration, and Preparation
CRP9. Model integrity, ethical
leadership and effective
management.
X Career Awareness CRP10. Plan education and
career paths aligned to personal
goals.
Career Exploration CRP11. Use technology to
enhance productivity.
Career Preparation CRP12. Work productively in
teams while using cultural global
competence.
Interdisciplinary Connections
Other standards covered:
RI.2.1 Ask and answer such questions as who, what, where, when, why, and how to
demonstrate understanding of key details in a text.
RI.2.5 Know and use various text features (e.g., captions, bold print, subheadings,
glossaries, indexes, electronic menus, and icons) to locate key facts or information in a
text.
RL.2.1 Ask and answer such questions as who, what, where, when, why, and how to
demonstrate understanding of key details in a text.
RL.2.7 Use information gained from the illustrations and words in print or digital text to
demonstrate understanding of its characters, setting, or plot.
19
Student Resources
Primary Source
Readings
McGraw Hill My Math
Volume 2
Secondary Source
Readings
Pigs In the Pantry: Fun With Math and Cooking, Amy
Axlerod
How Big is a Foot, Rolf Myller
Inchworm an a Half, Elinor J. Pinczes
Millions to Measure, David Schwartz
The Big Buck Adventure, Shelley Gill and Deborah Tobola
Measuring Penny, Loreen Leedy
Inch By Inch, Leo Leonni
Supporting Text pages Chapter 8 Money p.475-518
Chapter 9 Data Analysis p. 521-582
Chapter 10 Time p. 585-634
Customary and Metric Lengths 11 p.637-724
Teacher Resources
Texts:
Supplemental Workbooks: McGraw-Hill My Math
Websites:
http://connected.mcgraw-hill.com/connected/login.do
www.brainpopjr.com
http://www.kidsnumbers.com
http://www.coolmath4kids.com/
http://www.aplusmath.com/games/
http://www.nlvm.usu.edu.com
http://www.factmonster.com/n
www.oswego.org/ocsd
Worksheets:
Videos: McGraw-Hill My Math
Brain Pop Jr.
20
Stage 2 – Assessment Evidence
Performance Task(s):Research Projects
Assessments:
http://www.insidemathematics.org/common
-core-resources/mathematical-content-
standards/standards-by-grade/2nd-grade
http://www.noycefdn.org/math.php
Other Evidence:
Pre-Assessments, Formative Assessments,
Summative Assessments
Teacher observations
Do nows
Group discussion
Turn and talk to a partner
Quizzes/Tests
Exit Slips
McGraw Hill My Math Chapter 8, 9, 10,11
Model Curriculum Assessment:
http://www.state.nj.us/education/modelcurri
culum/math/2u3.shtml
http://www.state.nj.us/education/modelcurri
culum/math/2u4.shtml
Stage 3 – Learning Plan
Instructional
Strategies
Descriptions
Suggested
Pacing Guide
Money - 10 days
Data Analysis - 10 days
Time - 12 days
Customary and Metric Lengths - 10 days
Suggested
Learning Activities
Foldables, flashcards, plastic money, meter stick, yard stick, tape
measure, graph paper, clocks.
Academic vocabulary: Cent • Dollar • Penny • Nickel • Dime •
21
Quarter • Fewest • Coins • Change • How Much? • Receive •
Picture Graph • Bar Graph • Data • Survey • Tally Marks • Symbol
• Key • Category Length • Ruler • Tape Measure • Yard Stick •
Inches • Feet • Yards • Centimeters • Meters • Analog • Digital •
Second • Minute • Hour • Minute Hand • Hour Hand • AM/PM •
Midnight • Noon
Modifications Special Education Students: (These are just suggested ideas to
modify instruction. All modifications and accommodations
should be specific to each individual child’s IEP)
Special Needs: reduce/revise assignments & assessments as per
IEP; use manipulatives & calculators; provide individual & small
group help; notes, and study guides; provide background
knowledge.
ELL: use consistent, simplified language; maintain word wall;
provide bilingual partner; provide cooperative learning
opportunities; use modeling; use visual aids & manipulatives.
Low Support: foster positive relationships; use mental models;
provide help formulating specific questions.
Early Finishers/Advanced students: provide additional
enrichment activity involving demonstrating knowledge, or
complimentary assignment.
D indicates differentiation at the lesson level
22
Unit Plan Title Unit 4: Represent Data and Recognize Shapes and Their
Attributes
Suggested Time Frame Quarter 4
Overview / Rationale
What is this unit about? What will students be able to independently use their learning to
do?
Students apply knowledge of measurement and data by comparing lengths of objects and
graphing on a line plot.
Students describe and analyze shapes by examining their sides and angles. Students
investigate, describe, and reason about decomposing and combining shapes to make other
shapes. Through building, drawing, and analyzing two- and three-dimensional shapes,
students develop a foundation for understanding area, volume, congruence, similarity, and
symmetry in later grades.
Stage 1 – Desired Results
Established Goals:
Standards to be covered…
2.MD.6 Represent whole numbers as lengths from 0 on a number line diagram with
equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent
whole-number sums and differences within 100 on a number line diagram.
2.MD.9 Generate measurement data by measuring lengths of several objects to the
nearest whole unit, or by making repeated measurements of the same object.
Show the measurements by making a line plot with the horizontal scale is
marked off in whole number units.
2.G.1 Recognize and draw sheets have been specified attributes, such as a given
number of angles, or a given number of equal faces. Identify triangles
quadrilaterals, pentagons, hexagons, and cubes.
2.G.2 Partition a rectangle into rows and columns of the same size squares and count
to find the total number of them.
23
2.G.3 Partition circles and rectangles into two three or four equal shares to describe
the shares using words have the half of a third of its over and you have the
whole of two halves, three thirds or four fourths.
2.NBT.5 Fluently add and subtract within 100 using strategies based on place value,
properties of operations, and/or the relationship between addition and
subtraction.
Enduring Understandings:
● Graphing is a means of representing
and interpreting data.
● Objects can be classified and
described by their geometric
attributes.
● Fractions are part of a whole or a
subset of a set.
● Many different fractions can name
the same fractional part of a
whole.
Essential Questions:
● How can pane and solid shapes be
described?
● How do I use shapes and equal
parts?
● What is a fraction?
Knowledge:
Students will know…
● Measurement can be used to
compare the size of one object to
another.
● Shapes can be described, classified,
and identified by their specific
names and attributes.
● Fractions can only be created from
equal parts.
● Equal fractions can be represented
with different shapes
● Many everyday objects closely
resemble standard geometric shapes.
Skills:
Students will be able to…
● Show measurement by making a
line plot where the horizontal scale
is marked off in whole number
units.
● Recognize and draw shapes with a
given set of attributes (faces, sides,
angles).
● Partition rectangles into equal rows
and columns with the same size
squares, and count to find the total.
● Partition shapes into equal portions
recognizing that equal shares of
identical wholes do not need to
have the same shape.
24
In this unit plan, the following 21st Century Life and Careers skills are addressed:
Check ALL that apply –
21st Century Themes
Indicate whether these skills are:
• E – encouraged
• T – taught
• A – assessed
Career Ready Practices
9.1 Personal Financial Literacy CRP1. Act as a responsible and
contributing citizen and
employee.
Income and Careers E,T,A CRP2. Apply appropriate
academic and technical skills.
Money Management CRP3. Attend to personal health
and financial well-being.
Credit and Debt Management E,T CRP4. Communicate clearly and
effectively and with reason.
Planning, Saving, and Investing CRP5. Consider the
environmental, social and
economic impacts of decisions.
Becoming a Critical Consumer E,T,A CRP6. Demonstrate creativity
and innovation.
Civic Financial Responsibility CRP7. Employ valid and reliable
research strategies.
Insuring and Protecting E,T,A CRP8. Utilize critical thinking
to make sense of problems and
persevere in solving them.
9.2 Career Awareness,
Exploration, and Preparation
CRP9. Model integrity, ethical
leadership and effective
management.
X Career Awareness CRP10. Plan education and
career paths aligned to personal
25
goals.
Career Exploration CRP11. Use technology to
enhance productivity.
Career Preparation CRP12. Work productively in
teams while using cultural global
competence.
Interdisciplinary Connections
Other standards covered:
RI.2.1 Ask and answer such questions as who, what, where, when, why, and how to
demonstrate understanding of key details in a text.
RI.2.5 Know and use various text features (e.g., captions, bold print, subheadings,
glossaries, indexes, electronic menus, and icons) to locate key facts or information in a
text.
RL.2.1 Ask and answer such questions as who, what, where, when, why, and how to
demonstrate understanding of key details in a text.
RL.2.7 Use information gained from the illustrations and words in print or digital text to
demonstrate understanding of its characters, setting, or plot.
Student Resources
Primary Source
Readings
McGraw Hill My Math
Volume 2
Secondary Source
Readings
Fraction Action, Loreen Leedy
Shapes, Shapes, Shapes, Tana Hoban
Ed Emberely’s Picture Pie,A Circle Drawing Book, Ed
Emberely
The Greedy Triangle, Marilyn Burns
Grandfather Tang’s Story, Ann Tompert
Give me Half, Stuart Murphy
Three Pigs, One Wolf and Seven Magic Shapes, Grace
Maccarone
Supporting Text pages Chapter 12 Geometric Shapes and Equal Shares 727-792
26
Teacher Resources
Texts: McGraw Hill My Math Volume 2
Supplemental Workbooks: McGraw-Hill My Math
Websites:
http://connected.mcgraw-hill.com/connected/login.do
www.brainpopjr.com
http://www.kidsnumbers.com
http://www.coolmath4kids.com/
http://www.aplusmath.com/games/
http://www.nlvm.usu.edu.com
http://www.factmonster.com/n
www.oswego.org/ocsd
Worksheets:
Videos: McGraw-Hill My Math
Brain Pop Jr.
Stage 2 – Assessment Evidence
Performance Task(s):Research Projects
Assessments:
http://www.insidemathematics.org/common
-core-resources/mathematical-content-
standards/standards-by-grade/2nd-grade
http://www.noycefdn.org/math.php
Other Evidence:
Pre-Assessments, Formative Assessments,
Summative Assessments
Teacher observations
Do nows
Group discussion
Turn and talk to a partner
Quizzes/Tests
Exit Slips
McGraw Hill My Math
Chapter 12
http://www.state.nj.us/education/modelcurri
culum/math/2u5.shtml
27
Stage 3 – Learning Plan
Instructional
Strategies
Descriptions
Suggested Pacing
Guide:
Comparing lengths of objects - 3 days
Measurement and Data-Line plots - 5 days
Geometric Shapes and Equal Shapes - 20 days
Fluently add and subtract within 100 using strategies based on place
value, properties of operations, and/or the relationship between
addition and subtraction - 7 days
Suggested
Learning
Activities
Foldables , flash cards, solid figures, tan gram pieces, foam fractions.
Academic Vocabulary: Area • Rectangle • Circle • Triangle •
Quadrilateral • Pentagon • Hexagon • Cube • Fraction • Equal share • Half •
Third • Fourth
Modifications Special Education Students: (These are just suggested ideas to modify
instruction. All modifications and accommodations should be specific to
each individual child’s IEP)
Special Needs: reduce/revise assignments & assessments as per IEP; use
manipulatives & calculators; provide individual & small group help; notes,
and study guides; provide background knowledge.
ELL: use consistent, simplified language; maintain word wall; provide
bilingual partner; provide cooperative learning opportunities; use
modeling; use visual aids & manipulatives.
Low Support: foster positive relationships; use mental models; provide
help formulating specific questions.
Early Finishers/Advanced students: provide additional enrichment
activity involving demonstrating knowledge, or complimentary
assignment.
D indicates differentiation at the lesson level