TIPS4Math
Compose/Decompose, Represent, Compare and Order Numbers to 100
Grade 2
Overall Expectations
Students will
• Read, represent, compare, and order whole numbers to 100, and use concrete materials to represent fractions and money
amounts to 100¢ (2m8)
• Demonstrate an understanding of magnitude by counting forward to [100] 200 and backwards from 50, using multiples of various
numbers as starting points (2m9)
Specific Expectations
Students will:
• Represent, compare, and order whole numbers to 100, including money amounts to 100¢ using a variety of tools (2m11)
• Compose and decompose two-digit numbers in a variety of ways, using concrete materials (2m13)
• Determine, using concrete materials, the ten that is nearest to a given two-digit number, and justify the answer (2m14)
• Estimate, count, and represent (using the ¢ symbol) the value of a collection of coins with a maximum value of one dollar (2m18)
• Locate whole numbers to 100 on a number line and on a partial number line (2m21)
Lesson
Represent Numbers to •
100
•
Compose and
Decompose Two-Digit
Numbers
•
•
•
Learning Focus
Create representations of whole numbers in a
variety of ways using manipulatives (concrete/
digital) or pictures
o identify the strategy used to create the
representation (e.g., counting, computational
strategies)
Communicate using pictures, words (oral and
written), symbols
Create representations of whole numbers
Decompose a number in a variety of ways
Identify how numbers are composed and
decomposed including:
o friendly numbers
o place value
o anchors of 5s and 10s
o two or more terms
o representations that involve the same and
different terms
Resources
Guide to Effective Instruction: Number Sense and
Numeration Grades 1 to 3
• pp 131 – 133 Mystery Bags
• p 135 Mystery Numbers
• p 138 Number Detective
• p 139 Let’s Play Soccer!
Guide to Effective Instruction: Number Sense and
Numeration Grades 1 to 3
• p 135 Mystery Numbers
mathies
• Colour Tiles
• Money Tool
• Rekenrek
• Set Tool
• Whole Number Rods
NCTM Illuminations
• “Ten”ding the Herd: Counting Large Numbers by
Tens and Ones
EduGAINS-Mathematics
Page 1 of 10
TIPS4Math
Grade 2
Compose/Decompose, Represent, Compare and Order Numbers to 100 (continued)
Lesson
Compose and
Decompose Money
Amounts up to 100
Cents
•
•
•
Represent Numbers to •
100 Using
Mathematical
Structures that
Reinforce Anchors of
5 and 10
Represent Numbers to •
100 Using
Mathematical
Structures that
Reinforce Anchors of
5 and 10 –Continued
•
EduGAINS-Mathematics
Learning Focus
Identify and state the value of pennies, nickels,
dimes, quarters and loonies
Explore combinations of pennies, nickels, dimes
and/or quarters that compose up to 100 cents
Decompose amounts up to 100 cents into
pennies, nickels, dimes and/or quarters
Create and read representations of whole
numbers in a variety of ways using:
o manipulatives with mathematical structures
that reinforce anchors of 5s and 10s
(concrete/digital)
o pictures
Identify the strategy used to create the
representation (e.g., counting, decomposing/
composing, computational strategies)
o communicate using pictures, words (oral and
written), symbols
o compose and decompose into 10s and 1s
o identify how the components of the
representation connect to the digits in the
numerical representation
o identify the ten that is nearest to the
number
Identify a number that has been represented
concretely, digitally or pictorially and provide
reasoning
o relate numbers to anchors of 5s and 10s
mathies
• Money Tool
Resources
mathies
• Money Tool
• Rekenrek
• Set Tool
NCTM Illuminations
• “Ten”ding the Herd: Counting Large Numbers by
Tens and Ones
Page 2 of 10
TIPS4Math
Grade 2
Compose/Decompose, Represent, Compare and Order Numbers to 100 (continued)
Lesson
Represent Numbers to •
100 Using Tools that
Support Place Value
Represent Numbers to
100 Using Tools that
Support Place Value –
Continued
•
•
EduGAINS-Mathematics
Learning Focus
Create and read representations of whole
numbers in a variety of ways using:
o manipulatives that reinforce place value (e.g.
base ten blocks, money - penny, dime; or
loonie, $10 bill, mathies Colour Tiles – x1,
x10)
o concrete/digital/pictures
Identify the strategy used to create the
representation (e.g., counting, decomposing/
composing, computational strategies)
o communicate using pictures, words (oral and
written), symbols
o compose and decompose into 10s and 1s
o identify how the components of the
representation connect to the digits in the
numerical representation
o identify the ten that is nearest to the
number
Identify a number that has been represented
concretely, digitally or pictorially and provide
reasoning
Resources
Guide to Effective Instruction: Number Sense and
Numeration Grades 1 to 3
• p 135 Countdown to Zero
• p 136 Spinning for a Flat
mathies
• Colour Tiles
• Money Tool
OERB
• Place Value Hundreds Chart
o OERB ID: ELO1139580
Page 3 of 10
TIPS4Math
Grade 2
Compose/Decompose, Represent, Compare and Order Numbers to 100 (continued)
Lesson
Represent Numbers to •
100 in Flexible Ways
Represent Numbers to
100 in Flexible Ways –
Continued
•
•
•
Compare Numbers to •
100 Based on Quantity
•
•
EduGAINS-Mathematics
Learning Focus
Create and read representations of whole
numbers in a variety of ways using concrete/
digital manipulatives and/or pictures which allow
the user to compose representations in flexible
ways (e.g. colour tiles, mathies Set Tool –
combinations of operations, money –
combinations of coins)
Identify the strategy used to create a
representation (e.g., relationship to other
numbers including to the nearest ten, counting,
decomposing/composing, computational
strategies)
o communicate using pictures, words (oral and
written), symbols
Recompose a representation into 10s and 1s
o identify how the components of the
representation connect to the digits in the
numerical representation
Identify a number that has been represented
concretely, digitally or pictorially and provide
reasoning
Read numbers represented in various formats
(numerical, pictorial, concrete/digital) and
compare those numbers with reasoning
o same representation model
o different representation model
Explain why one number is greater than, less
than or equal to another number
Identify values between any two given numbers
Resources
Guide to Effective Instruction: Number Sense and
Numeration Grades 1 to 3
• p 138 Number Detective
mathies
• Colour Tiles
• Money Tool
• Rekenrek
• Set Tool
• Whole Number Rods
Guide to Effective Instruction: Number Sense and
Numeration Grades 1 to 3
• p 138 Luck of the Draw
mathies
• Diamond Drop - Whole Numbers
• Colour Tiles
• Money Tool
• Rekenrek
• Set Tool
• Whole Number Rods
Page 4 of 10
TIPS4Math
Grade 2
Compose/Decompose, Represent, Compare and Order Numbers to 100 (continued)
Lesson
Learning Focus
Order Numbers to 100 •
Based on Quantity
Order numbers presented in various formats
(numerical, pictorial, concrete/digital) and
explain reasoning
o least to greatest and greatest to least
Represent Numbers to •
100 Using a Number
Line
Represent and read a whole number as a
position relative to zero on a number line
o paper/digital
o variety of scales starting from zero
Represent and read a whole number as a
distance from zero on a number line
o paper/digital
o variety of scales starting from zero
Identify the strategy used to represent a number
on a number line (e.g., relationship to other
numbers including to the nearest ten, counting,
decomposing/composing, computational
strategies)
o communicate using pictures, words (oral and
written), symbols
Represent numbers presented in various
formats (numerical, pictorial, concrete/digital) on
a number line and explain reasoning
•
•
•
EduGAINS-Mathematics
Resources
mathies
• Colour Tiles
• Money Tool
• Rekenrek
• Set Tool
• Whole Number Rods
mathies
• Number Line
• Catch a Bouncing Ball – Representations (Whole
Numbers)
Page 5 of 10
TIPS4Math
Grade 2
Compose/Decompose, Represent, Compare and Order Numbers to 100 (continued)
Lesson
Compare and Order
•
Numbers to 100 Using
a Number Line
•
•
•
EduGAINS-Mathematics
Learning Focus
Compare numbers represented on a number
line
o use comparative language and symbols
o provide reasoning (e.g., distance from zero,
further to the right on the number line,
relationships to benchmarks)
Read numbers represented in various formats
(numerical, pictorial, concrete/digital) and
compare those numbers using a number line
o use comparative language and symbols
o provide reasoning (e.g., distance from zero,
further to the right on the number line,
relationships to benchmarks)
Identify values between any two given numbers
Read numbers represented in various formats
(numerical, pictorial, concrete/digital) and order
those numbers using a number line
o least to greatest and greatest to least
o provide reasoning
Resources
mathies
• Number Line
• Comparison Tool - Whole Numbers
Page 6 of 10
TIPS4Math
Represent Numbers to 100
Resource
Guide to Effective Instruction: Number
Sense and Numeration Grades 1 to 3
Grade 2
URL
http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20
Numeration%201-3%20Revised.pdf
Compose and Decompose Two-Digit Numbers
Resource
URL
Guide to Effective Instruction: Number
Sense and Numeration Grades 1 to 3
mathies:
Colour Tiles
mathies:
Money Tool
mathies:
Rekenrek
mathies:
Set Tool
mathies:
Whole Number Rods
NCTM Illuminations:
“Ten”ding the Herd: Counting Large
Numbers by Tens and Ones
http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20
Numeration%201-3%20Revised.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Mm0
http://mathies.ca/learningTools.php#Rr0
http://mathies.ca/learningTools.php#Ss1
http://mathies.ca/learningTools.php#Ww0
http://illuminations.nctm.org/elemactivity/
Compose and Decompose Money Amounts
Resource
URL
mathies:
Money Tool
EduGAINS-Mathematics
http://mathies.ca/learningTools.php#Mm0
Page 7 of 10
TIPS4Math
Represent Numbers to 100 Using Mathematical Structures that Reinforce Anchors of 5 and 10
Resource
URL
mathies:
Money Tool
mathies:
Rekenrek
mathies:
Set Tool
NCTM Illuminations:
“Ten”ding the Herd: Counting Large
Numbers by Tens and Ones
Grade 2
http://mathies.ca/learningTools.php#Mm0
http://mathies.ca/learningTools.php#Rr0
http://mathies.ca/learningTools.php#Ss1
http://illuminations.nctm.org/elemactivity/
Represent Numbers to 100 Using Tools that Support Place Value
Resource
URL
Guide to Effective Instruction: Number
Sense and Numeration Grades 1 to 3
mathies:
Colour Tiles
mathies:
Money Tool
OERB:
Place Value Hundreds Chart
http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20
Numeration%201-3%20Revised.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Mm0
https://download.elearningontario.ca/repository/1139580000/Place%20Value%20Hundreds%20Chart%20Hi.html
Represent Numbers to 100 in Flexible Ways
Resource
URL
Guide to Effective Instruction: Number
Sense and Numeration Grades 1 to 3
mathies:
Colour Tiles
mathies:
Money Tool
mathies:
Rekenrek
mathies:
Set Tool
mathies:
Whole Number Rods
EduGAINS-Mathematics
http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20
Numeration%201-3%20Revised.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Mm0
http://mathies.ca/learningTools.php#Rr0
http://mathies.ca/learningTools.php#Ss1
http://mathies.ca/learningTools.php#Ww0
Page 8 of 10
TIPS4Math
Compare Numbers to 100 Based on Quantity
Resource
URL
Guide to Effective Instruction: Number
Sense and Numeration Grades 1 to 3
mathies:
Diamond Drop – Whole Numbers
mathies:
Colour Tiles
mathies:
Money Tool
mathies:
Rekenrek
mathies:
Set Tool
mathies:
Whole Number Rods
Grade 2
http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20
Numeration%201-3%20Revised.pdf
http://mathies.ca/games.php#Dd6
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Mm0
http://mathies.ca/learningTools.php#Rr0
http://mathies.ca/learningTools.php#Ss1
http://mathies.ca/learningTools.php#Ww0
Order Numbers to 100 Based on Quantity
Resource
URL
mathies:
Colour Tiles
mathies:
Money Tool
mathies:
Rekenrek
mathies:
Set Tool
mathies:
Whole Number Rods
EduGAINS-Mathematics
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Mm0
http://mathies.ca/learningTools.php#Rr0
http://mathies.ca/learningTools.php#Ss1
http://mathies.ca/learningTools.php#Ww0
Page 9 of 10
TIPS4Math
Represent Numbers to 100 Using a Number Line
Resource
URL
mathies:
Number Line
mathies:
Catch a Bouncing Ball –
Representations (Whole Numbers)
Grade 2
http://mathies.ca/learningTools.php#Nn0
http://mathies.ca/games.php#Cc0
Compare and Order Numbers to 100 Using a Number Line
Resource
URL
mathies:
Number Line
mathies:
Comparison Tool – Whole Numbers
EduGAINS-Mathematics
http://mathies.ca/learningTools.php#Nn0
http://mathies.ca/learningTools.php
Page 10 of 10