TIPS4Math
Grade 7
Represent, Compare, and Order Integers
Overall Expectation
Students will:
• Represent, compare, and order numbers, including integers (7m8)
Specific Expectations
Students will:
• Identify and compare integers found in real-life contexts (7m13)
• Represent and order integers, using a variety of tools (7m14)
Lesson
Identify & Represent Integers
Zero Pairs
Compare and Order Integers
Learning Focus
•
•
•
•
•
•
•
•
•
•
Identify integers found in real life; use integers to model real- life contexts
Represent integers as positions on a number line, (horizontal and vertical)
Demonstrate understanding of the symmetry of the integer number line
Compare locations of integers relative to zero
Represent integers as a magnitude and a direction on a number line
Identify opposite integers and model with counters or number lines
Explain the features of zero pairs; identify zero pairs
Compare values of integers using > or <
Compare and order integers on a number line
Compare integers within contexts (e.g., temperature, above/below ground,
above/below sea level, having money versus owing money, sports +/- stats)
Specific
Expectations
7m13
7m14
7m13
7m14
7m13
7m14
Consolidation and Summative Tasks
EduGAINS-Mathematics
Page 1 of 10
TIPS4Math
Specific Expectations: 7m13, 7m14
Learning Focus
Identify & Represent Integers
Blended Learning
Teacher Guide
Unit 1 Activity 1: Representing, Comparing
and Ordering Integers
OERB ID: ELO1471850
Minds
On
•
Action •
•
•
•
•
Identify where
negative numbers are
used in real life
Identify integers found in
real life; use integers to
model real- life contexts
Represent integers as
positions on a number
line, (horizontal and
vertical)
Demonstrate
understanding of the
symmetry of the integer
number line
Compare locations of
integers relative to zero
Represent integers as a
magnitude and a
direction on a number
line
Consolidation
EduGAINS-Mathematics
Grade 7
Unit 1 Activity 1 Part A: Minds On
OERB ID: ELO1471080
• Integers – Representing, Comparing
and Ordering
o video - comparing location
relative to zero using an elevator
• Mathotel
o activity using floor levels to
explore integers
Unit 1 Activity 1 Part A: Action
• Integer Number Line
o represent integers on a number
line
Note: supplementation required for
exploring symmetry of integer number line,
comparing location of integers relative to
zero, and representing integers as a
magnitude and a direction on a number line
Unit 1 Activity 1 Part A: Consolidation
• Assignment 1 – Integer Location Quiz
Other
Resources
TIPS4RM Grade 7 Unit 2: Describing Patterns
and on to Integers
• Day 7: What Are Integers?
CLIPS
• 1.2 Identifying Locations Relative to Zero
• 1.3 Integer Number Lines
• 1.4 Integer Adventure Contest
• 1.5 Integer Drop Ball
• 3.1 Elevator Ride
• 3.2 Relating Integers to a Change in
Direction Exploring Mathotel
• 3.3 Connecting Change to Movements
• 3.4 Size of Change A Fishy Story
• 3.5 Using Counters
• 3.6 Quiz: Integers and Change
• 3.7 Scuba Diving
• 4.1 Counters and Number Lines
• 4.2 Making Sense of Representations
• 4.3 Create a Game
• 4.4 Show You Know: 2. Integer Match
Game
Homework Help
• Glossary: Integers
mathies
• Number Line
• Catch a Bouncing Ball (Integers)
• Dominoes (Integers)
Note: supplementation required for
• Representation Match (Integers)
identifying and modelling the use of integers
• Where am I? (Integers)
in real life
Page 2 of 10
TIPS4Math
Specific Expectations: 7m13, 7m14
Learning Focus
Zero Pairs
Blended Learning
Teacher Guide
Unit 1 Activity 1: Representing, Comparing
and Ordering Integers
OERB ID: ELO1471850
Minds
On
•
Action •
•
Represent and discuss
features of opposite
integers (+2 and -2; +5
and -5, etc.)
Identify opposite integers
and model with counters
or number lines
Explain the features of
zero pairs; identify zero
pairs
Consolidation
EduGAINS-Mathematics
Grade 7
Other
Resources
TIPS4RM Grade 7 Unit 2 Describing Patterns
and on to Integers
• Day 8: The Zero Principle
CLIPS
• 3.5 Using Counters
• 4.1 Counters and Number Lines
OERB
• Representing Integers with the Zero
Principle
OERB ID : 1414350
mathies
• Comparison Tool (Integers)
• Number Line
Page 3 of 10
TIPS4Math
Specific Expectations: 7m13, 7m14
Learning Focus
Minds
On
•
Compare and Order Integers
Blended Learning
Teacher Guide
Unit 1 Activity 1: Representing, Comparing
and Ordering Integers
OERB ID: ELO1471850
Review location of
Unit 1 Activity 1 Part B: Minds On
integers on a number line • What’s My Floor
(both vertical and
o floor locations are being compared
horizontal)
using integers
Note: supplementation required for
modelling on a horizontal number line
Unit 1 Activity 1 Part B: Action
Action • Compare values of
integers using > or <
• Comparing Temperatures
• Compare and order
• Ordering Hockey Plus-Minus Stats
integers on a number line • Greater Than or Less Than
• Compare integers within
o student choice of activity
contexts (e.g.,
o comparing and ordering
temperature,
above/below ground,
Note: supplementation required for
comparing and ordering integers on a
above/below sea level,
having money versus
number line
owing money, sports +/stats)
Unit 1 Activity 1 Part B: Consolidation
Consolidation
• Assignment 2: Comparing Integers Quiz
EduGAINS-Mathematics
Grade 7
Other
Resources
TIPS4RM Grade 7 Unit 2 Describing Patterns
and on to Integers
• Day 9: All Integers Come to Order
CLIPS
• 2.1 What’s My Floor?
• 2.2 Comparing Temperatures
• 2.3 Ordering Hockey Plus-Minus Stats
• 2.4 Greater Than or Less Than
• 2.5 Diamond Drop
• 2.6 Battle of the Integers
Gizmos
• Integers, Opposites, and Absolute Values
GeoGebra
• Practice Comparing Values of Two
Integers using “<” and “>”
• Comparing and Locating Integers
Gap Closing I/S Facilitator’s Guide:
Integers
pp 9-13
Gap Closing I/S Student Book:
Integers
pp 5-9
Page 4 of 10
TIPS4Math
Grade 7
Consolidation & Summative Tasks
Specific Expectations: 7m13, 7m14
Blended Learning
Other
Resources
CLIPS
Show What You Know
• Integers to Describe Location
• Comparing and Ordering Integers
• Using Integers to Describe Change
• Representing Integers
EduGAINS-Mathematics
Page 5 of 10
TIPS4Math
Identify & Represent Integers
Resource
Grade 7
URL
Teacher Guide:
https://download.elearningontario.ca/repository/14/1471850000/Gr%207%20Math%20U1%20TG/
Unit 1 Activity 1: Representing,
Combined%20Teacher%20Notes%20for%20Activities%201%20-%2010/content.html
Comparing and Ordering
Integers
Unit 1 Activity 1 Part A: Minds On https://download.elearningontario.ca/repository/14/1471200000/GRD7MTHEU01/GRD7MTHEU01A01/content.html
Integers – Representing,
http://mathclips.ca/?cluster=5
Comparing and Ordering
Mathotel
http://mathclips.ca/?cluster=5&clip=1&activity=1
Unit 1 Activity 1 Part A: Action
Integer Number Line
https://download.elearningontario.ca/repository/14/1471200000/GRD7MTHEU01/GRD7MTHEU01A01/content_2.html
http://mathclips.ca/?cluster=5&clip=1&activity=3
Assignment 1 – Integer Location
Quiz
TIPS4RM Grade 7 Unit 2:
Describing Patterns and on to
Integers
1.2 Identifying Locations Relative
to Zero
1.3 Integer Number Lines
http://www.oame.on.ca/clips/swfPlayer.html?swfURL=lib/CL005_IntegersRepresentCompareOrder/
CL005_Resources/CL005_IntegerLocationQuiz.swf
http://www.edugains.ca/resources/LearningMaterials/TIPS/tips4rm/grade7/Unit2_PatternsIntegers.
pdf
1.4 Integer Adventure Contest
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=1&activity=4
1.5 Integer Drop Ball
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=1&activity=5
3.1 Elevator Ride
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=1
3.2 Relating Integers to a
Change in Direction Exploring
Mathotel
3.3 Connecting Change to
Movements
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=2
EduGAINS-Mathematics
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=1&activity=2
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=1&activity=3
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=3
Page 6 of 10
TIPS4Math
Identify & Represent Integers (Continued)
Grade 7
Resource
URL
3.4 Size of a Change
3.5 Using Counters
3.6 Quiz: Integers and Change
3.7 Scuba Diving
4.1 Counters and Number Lines
4.2 Making Sense of
Representations
4.3 Create a Game
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=4
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=5
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=6
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=7
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=4&activity=1
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=4&activity=2
4.4 Show What You Know: 2.
Integer Match Game
Number Line
http://oame.on.ca/CLIPS/swfPlayer.html?swfURL=lib/CL005_IntegersRepresentCompareOrder/
CL005_Games/CL005_IntegerMatchGame.swf
http://mathies.ca/learningTools.php#Nn0
Catch a Bouncing Ball (Integers)
http://oame.on.ca/CLIPS/swfPlayer.html?swfURL=lib/CL005_IntegersRepresentCompareOrder/
CL005_Games/CL005_CatchBouncingBall.swf
http://oame.on.ca/CLIPS/swfPlayer.html?swfURL=lib/CL005_IntegersRepresentCompareOrder/
CL005_Games/CL005_IntegerDominoes.swf
http://oame.on.ca/CLIPS/swfPlayer.html?swfURL=lib/CL005_IntegersRepresentCompareOrder/
CL005_Games/CL005_IntegerMatchGame.swf
http://oame.on.ca/CLIPS/lib/CL005_IntegersRepresentCompareOrder/CL005_Games/CL005_
WhereAmI-IntegerCardGame.pdf
https://homeworkhelp.ilc.org/tools/glossary/index.php?glossary_id=3659
Dominoes (Integers)
Representation Match (Integers)
Where am I? (Integers)
Homework Help:
Glossary: Integers
EduGAINS-Mathematics
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=4&activity=3
Page 7 of 10
TIPS4Math
Zero Pairs
Grade 7
Resource
URL
Teacher Guide:
Unit 1 Activity 1: Representing,
Comparing and Ordering
Integers
TIPS4RM Grade 7 Unit 2:
Describing Patterns and on to
Integers
3.5 Using Counters
4.1 Counters and Number Lines
https://download.elearningontario.ca/repository/14/1471850000/Gr%207%20Math%20U1%20TG/
Combined%20Teacher%20Notes%20for%20Activities%201%20-%2010/content.html
OERB:
Representing Integers with the
Zero Principle
Comparison Tool (Integers)
https://download.elearningontario.ca/repository/14/1414350000/Pare_Gr7IntegersPart1.html
Number Line
http://mathies.ca/learningTools.php#Nn0
EduGAINS-Mathematics
http://www.edugains.ca/resources/LearningMaterials/TIPS/tips4rm/grade7/Unit2_PatternsIntegers.
pdf
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=5
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=4&activity=1
http://mathclips.ca/swfPlayer.html?swfURL=tools/IntegerComparisonTool.swf
Page 8 of 10
TIPS4Math
Compare and Order Integers
Grade 7
Resource
URL
Teacher Guide:
Unit 1 Activity 1: Representing,
Comparing and Ordering
Integers
What’s My Floor
Comparing Temperatures
Ordering Hockey Plus-Minus Stats
https://download.elearningontario.ca/repository/14/1471850000/Gr%207%20Math%20U1%20
TG/Combined%20Teacher%20Notes%20for%20Activities%201%20-%2010/content.html
Greater Than or Less Than
http://mathclips.ca/?cluster=5&clip=2&activity=4
Assignment 2: Comparing Integers
Quiz
TIPS4RM Grade 7 Unit 2:
Describing Patterns and on to
Integers
Gap Closing I/S Student Book:
Integers
Gap Closing I/S Facilitator’s Guide:
Integers
2.1 What’s My Floor?
http://www.oame.on.ca/clips/swfPlayer.html?swfURL=lib/CL005_IntegersRepresentCompareOrder/CL005_Resources/CL005_ComparingIntegersQuiz.swf
http://www.edugains.ca/resources/LearningMaterials/TIPS/tips4rm/grade7/Unit2_PatternsIntegers.pdf
2.2 Comparing Temperatures
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=2
2.3 Ordering Hockey Plus-Minus
Stats
2.4 Greater Than or Less Than
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=3
2.5 Diamond Drop
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=5
2.6 Battle of the Integers
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=6
Comparison Tool (Integers)
http://mathclips.ca/swfPlayer.html?swfURL=tools/IntegerComparisonTool.swf
Number Line
http://mathies.ca/learningTools.php#Nn0
EduGAINS-Mathematics
http://mathclips.ca/?cluster=5&clip=2&activity=1
http://mathclips.ca/?cluster=5&clip=2&activity=2
http://mathclips.ca/?cluster=5&clip=2&activity=3
http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/3-Integers_SB_IS.pdf
http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/3-Integers_FG_IS.pdf
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=1
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=4
Page 9 of 10
TIPS4Math
Compare and Order Integers (Continued)
Grade 7
Resource
URL
Gizmos:
Integers, Opposites, and Absolute
Values
GeoGebra:
Practice Comparing Values of Two
Integers using “<” and “>”.
GeoGebra:
Comparing and Locating Integers.
https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=210
https://www.geogebra.org/material/simple/id/25103
https://www.geogebra.org/material/simple/id/19326
Consolidation and Summative Tasks
Resource
URL
Using Integers to Describe Location
Comparing and Ordering Integers
Using Integers to Describe Change
Representing Integers
http://mathclips.ca/?cluster=5&clip=1&activity=6
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=2&activity=7
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=3&activity=8
http://oame.on.ca/CLIPS/index.html?cluster=5&clip=4&activity=4
EduGAINS-Mathematics
Page 10 of 10