TIPS4Math
Grade 5
Perimeter and Area
Overall Expectation
Students will:
• Estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies (5m31)
• Determine the relationships among units and measurable attributes, including the area of a rectangle and the volume of a
rectangular prism (5m32)
• Demonstrate, through investigation, an understanding of the use of variables in equations (5m62)
Specific Expectations
Students will:
• Estimate and measure the perimeter and area of regular and irregular polygons, using a variety of tools and strategies (5m36)
• Select and justify the most appropriate standard unit (i.e., millimetre, centimetre, decimetre, metre, kilometre) to measure the
perimeter of various polygons (5m37)
• Solve problems requiring conversion from metres to centimetres and from kilometres to metres (5m38)
• Create, through investigation using a variety of tools and strategies, two-dimensional shapes with the same perimeter or the same
area (5m40)
• Determine, through investigation using a variety of tools and strategies, the relationships between the length and width of a
rectangle and its area and perimeter, and generalize to develop the formulas [i.e., Area = length x width; Perimeter = (2 x length) +
(2 x width)] (5m41)
• Demonstrate, through investigation, an understanding of variables as changing quantities, given equations with letters or other
symbols that describe relationships involving simple rates (5m68)
• Demonstrate, through investigation, an understanding of variables as unknown quantities represented by a letter or other symbol
(5m69)
• Determine the missing number in equations involving addition, subtraction, multiplication, or division and one- or two-digit
numbers, using a variety of tools and strategies (5m70)
Lesson
Perimeter
Learning Focus
•
•
•
•
EduGAINS-Mathematics
Determine, through investigation, the relationship between the length and
width of a rectangle and its perimeter, using a variety of tools and strategies
Generalize the relationship to develop a formula (e.g., P=2 x length + 2 x
width for a rectangle)
Demonstrate and understanding of variables as unknown quantities
represented by a letter or symbol
Select and justify the most appropriate standard unit to measure the
perimeter of various polygons in real life-situations
Specific
Expectations
5m36
5m37
5m38
5m41
5m68
5m69
5m70
Page 1 of 13
TIPS4Math
Perimeter and Area (Continued)
Lesson
Area of Polygons
Learning Focus
•
•
Area of a Rectangle
•
•
•
•
•
Polygons with the Same
Perimeter
•
•
Polygons with the Same Area
Perimeter and Area Problems
with Unit Conversions
Grade 5
•
•
•
•
•
•
•
Estimate and measure the area of regular and irregular polygons using a
variety of tools (e.g., geoboard, grid paper, geometry software, arrays)
Select and justify the most appropriate standard unit to measure the sides
of various polygons in real life-situations
Determine, through investigation using a variety of tools (e.g., concrete
materials, dynamic geometry software, grid paper) and strategies, the
relationship between the length and width of a rectangle and its area
Generalize the relationship to develop a formula
Use formula to solve for area
Use formula to solve for an unknown dimension if one dimension and the
area are given
Demonstrate an understanding of variables as unknown quantities
represented by a letter or symbol
Through investigation, using a variety of tools (pattern blocks, grid paper,
geoboard,) create polygons (e.g. rectangles, parallelograms) with the same
perimeter
Use formula to determine perimeter and area given dimensions or find a
dimension given perimeter and one dimension of a rectangle
Explore how rectangles with the same perimeter can have different areas
Through investigation, using a variety of tools (pattern blocks, grid paper,
geoboard, arrays), create polygons with the same area
Explore how rectangles with the same area can have different perimeters
Solve perimeter and area problems requiring conversions from metres to
centimetres and from kilometres to metres
Solve perimeter and area problems with missing measurements using a
variety of tools and strategies
Explore real-life contexts involving maximum area for a given perimeter or
the least perimeter for a given area
Demonstrate an understanding of variables as unknown quantities
represented by a letter or symbol
Specific
Expectations
5m36
5m37
5m38
5m36
5m41
5m68
5m69
5m70
5m36
5m40
5m36
5m40
5m37
5m38
5m68
5m69
5m70
Consolidation & Summative Tasks
EduGAINS-Mathematics
Page 2 of 13
TIPS4Math
Grade 5
Perimeter
Specific Expectations: 5m36, 5m37, 5m38, 5m41, 5m68, 5m69, 5m70
Learning Focus
Blended Learning
Teacher Guide
Unit 2 Activity 2: Perimeter and Area of Irregular
Polygons
OERB ID: ELO1476820
Unit 2 Activity 2: Action
Minds • Estimate and measure the
perimeter of regular and
OERB ID: ELO1476590
On
irregular polygons using a variety of
• Area and Perimeter of Irregular Shapes
tools (e.g., geoboard, grid paper,
o 1 Introduction - setting a real-life context
geometry software)
o 2 Review of Area and Perimeter
Unit 2 Activity 2: Action
Action • Determine, through
investigation, the relationship between • Area and Perimeter of Irregular Shapes
o 3 Perimeter – Straight Edges
the length and width of a rectangle and
o 4 Perimeter – Curved Edges
its perimeter, using a variety of tools
and strategies
Note: supplementation required for investigating
• Generalize the relationship to
develop a formula (e.g., P=2 x length + relationship, determining formula, developing
and working with algebraic expression, and
2 x width for a rectangle)
• Demonstrate an understanding of
justifying unit
variables as unknown quantities
represented by a letter or symbol
• Select and justify the most appropriate
standard unit to measure the perimeter
of various polygons in real life
situations
Unit 2 Activity 2: Consolidation
Consolidation
• Assignment 2: Finding Perimeter
o 3 irregular polygons
Other Resources
Guide to Effective
Instruction: Measurement
Grades 4 – 6
• pp 89 – 98: Grade 5
Learning Activity: Hiking
the Bruce Trail
mathies
• Colour Tiles
• Notepad
• Pattern Blocks
Note: supplementation required for use of an
algebraic expression to determine perimeter
EduGAINS-Mathematics
Page 3 of 13
TIPS4Math
Specific Expectations: 5m36, 5m37, 5m38
Learning Focus
Minds
On
Action
•
•
•
Review area
Area of Polygons
Blended Learning
Teacher Guide
Unit 2 Activity 2:
Perimeter and Area of Irregular Polygons
OERB ID: ELO1476820
Unit 2 Activity 2: Action
• Exploring Perimeter and Area
OERB ID: ELO1410810
o strategies for determining area and perimeter of
irregular shapes
Unit 2 Activity 2: Minds On
OERB ID: ELO1476590
• find the area of irregular two-dimensional shapes
o open question
Estimate and measure the area
of regular and irregular polygons
using a variety of tools (e.g., geoboard, grid paper, geometry software, arrays)
Select and justify the most appro- Unit 2 Activity 2: Action
priate standard unit to measure the • Area and Perimeter of Irregular Shapes
sides of various polygons in real
o 5 Area – Square Units on a Grid
life-situations
• Estimate area of 2 polygons then calculate the
actual area
Consolidation
Grade 5
Other Resources
Guide to Effective
Instruction: Measurement
Grades 4 – 6
• pp 89 – 98: Grade 5
Learning Activity:
Hiking the Bruce Trail
mathies
• Colour Tiles
• Notepad
• Pattern Blocks
Note: supplementation required for ensuring use of a
variety of tools and justifying unit of measure
Unit 2 Activity 2: Action
• Area and Perimeter of Irregular Shapes
o 6 Putting Green
• Discussion – explain estimation strategies for area
and perimeter
Note: supplementation required for measuring area
using a variety of tools
EduGAINS-Mathematics
Page 4 of 13
TIPS4Math
Area of a Rectangle
Specific Expectations: 5m36, 5m41, 5m68, 5m69, 5m70
Learning Focus
Blended Learning
Teacher Guides
OERB ID: ELO1476820
• Unit 2 Activity 1: Perimeter and Area of
Squares and Rectangles
• Unit 2 Activity 2: Perimeter and Area of
Irregular Polygons
Unit 2 Activity 1: Action
Minds • Review area and perimeter
OERB ID: ELO1476580
On
• Area and Perimeter
o 1 Introduction
o 2 Review of Area and Perimeter
Action • Determine, through investigation using Unit 2 Activity 1 – Minds On
• Factorize
a variety of tools (e.g., concrete
o use arrays to explore area
materials, dynamic geometry software,
• Discussion - relating length and width of the
grid paper) and strategies, the
array to its area
relationship between the length and
width of a rectangle and its area
• Generalize the relationship to develop Note: supplementation required for
investigating relationship using other tools and
a formula
strategies, determining formula, developing and
• Use formula to solve for area
working with algebraic expression
• Use formula to solve for an unknown
dimension if one dimension and the
area are given
• Demonstrate an understanding of
variables as unknown quantities
represented by a letter or symbol
Unit 2 Activity 2: Consolidation
Consolidation
OERB ID: ELO1476590
• Assignment 1: Same Area or Not?
o determine area of rectangle and irregular
polygon
EduGAINS-Mathematics
Grade 5
Other Resources
Guide to Effective
Instruction: Measurement
Grades 4 – 6
• pp 89 – 98: Grade 5
Learning Activity: Hiking
the Bruce Trail
mathies
• Colour Tiles
• Notepad
• Pattern Blocks
Page 5 of 13
TIPS4Math
Polygons with the Same Perimeter
Specific Expectations: 5m36, 5m40
Learning Focus
Minds
On
Action
•
•
•
•
Review area and perimeter
Through investigation, using a variety
of tools (pattern blocks, grid paper,
geoboard,) create polygons (e.g.
rectangles, parallelograms) with the
same perimeter
Use formula to determine perimeter
and area given dimensions or find a
dimension given perimeter and one
dimension of a rectangle
Explore how rectangles with the same
perimeter can have different areas
Consolidation
EduGAINS-Mathematics
Blended Learning
Teacher Guide
Unit 2 Activity 1: Perimeter and Area of Squares
and Rectangles
OERB ID: ELO1476820
Unit 2 Activity 1: Action
OERB ID: ELO1476580
• Square Off game
o make the largest area with specific
perimeters around a ship
Unit 2 Activity 1: Action
• Area and Perimeter
o 4 Same Perimeter / Different Area
Grade 5
Other Resources
Guide to Effective
Instruction: Measurement
Grades 4 – 6
• pp 89 – 98: Grade 5
Learning Activity: Hiking
the Bruce Trail
mathies
• Colour Tiles
• Notepad
• Pattern Blocks
Note: supplementation required for using the
formula to find a dimension when perimeter and
one dimension is known in a rectangle
Unit 2 Activity 1: Consolidation
• Assignment 1: Dog Pen Measurement
o find best area for a dog pen using the
same perimeter
Page 6 of 13
TIPS4Math
Specific Expectations: 5m36, 5m40
Learning Focus
Minds
On
Action
•
•
Polygons with the Same Area
Through investigation, using a variety
of tools (pattern blocks, grid paper,
geoboard,) create polygons (e.g.
rectangles, parallelograms) with the
same area
Explore how rectangles with the same
area can have different perimeters
Consolidation
EduGAINS-Mathematics
Grade 5
Blended Learning
Teacher Guide
Unit 2 Activity 1: Perimeter and Area of
Squares and Rectangles
OERB ID: ELO1476820
Other Resources
Guide to Effective Instruction:
Measurement Grades 4 – 6
• pp 89 – 98: Grade 5
Learning Activity: Hiking
the Bruce Trail
mathies
Unit 2 Activity 1: Action
• Colour Tiles
OERB ID: ELO1476580
• Notepad
• Area and Perimeter
• Pattern Blocks
o 3 Same Area / Different Perimeter
o 5 Changing the Length of the Rectangle
o 6 Exploring Rectangle Shapes
Unit 2 Activity 1: Consolidation
Discussion
• explain how rectangles can have the same
area with different perimeters
Page 7 of 13
TIPS4Math
Perimeter and Area Problems with Unit Conversions
Specific Expectations: 5m37, 5m38, 5m68, 5m69, 5m70
Learning Focus
Blended Learning
Minds
On
•
•
Review area and perimeter
Review relationships between the
kilometre, metre, and centimetre
Grade 5
Other Resources
Teacher Guide
Unit 2 Activity 1: Perimeter and Area of
Squares and Rectangles
OERB ID: ELO1476820
Unit 2 Activity 1: Action
• Area and Perimeter
o 7 Snow Walls
Guide to Effective Instruction:
Measurement Grades 4 – 6
• pp 89 – 98: Grade 5
Learning Activity: Hiking the
Bruce Trail
Note: supplementation required for metric
relationships
Action
•
•
•
•
Solve perimeter and area problems
requiring conversions from metres to
centimetres and from kilometres to
metres
Solve perimeter and area problems
with missing measurements using a
variety of tools and strategies
Explore real-life contexts involving
maximum area for a given perimeter or
the least perimeter for a given area
Demonstrate an understanding of
variables as unknown quantities
represented by a letter or symbol
Consolidation
Consolidation & Summative Tasks
Specific Expectations: 5m36, 5m37, 5m38, 5m40, 5m41, 5m68, 5m69, 5m70
Blended Learning
EduGAINS-Mathematics
Other
Resources
Page 8 of 13
TIPS4Math
Perimeter
Resource
Teacher Guide:
Unit 2 Activity 2: Perimeter and
Area of Irregular Polygons
Unit 2 Activity 2: Action
Grade 5
URL
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content_2.
html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A02/content_2.html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=13
Area and Perimeter of Irregular
Shapes
Assignment 2: Finding Perimeter https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A02/assignment.html
Guide to Effective Instruction:
http://oame.on.ca/eduproject/ontariomathedresources/files/Measurement%204-6.pdf
Measurement Grades 4 – 6
mathies:
http://mathies.ca/learningTools.php
Colour Tiles
mathies:
http://mathies.ca/learningTools.php#Nn0
Notepad
mathies:
http://mathies.ca/learningTools.php#Pp0
Pattern Blocks
EduGAINS-Mathematics
Page 9 of 13
TIPS4Math
Area of Polygons
Resource
Teacher Guide
Unit 2 Activity 2: Perimeter and
Area of Irregular Polygons
Exploring Perimeter and Area
Unit 2 Activity 2: Minds On
Area and Perimeter of Irregular
Shapes
Unit 2 Activity 2: Action
Guide to Effective Instruction:
Measurement Grades 4 – 6
mathies:
Colour Tiles
mathies:
Notepad
mathies:
Pattern Blocks
EduGAINS-Mathematics
Grade 5
URL
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content_2.
html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A02/mme/Gr5_Math_Measurement_ExploringPerimeterandArea/Gr5_ExploringPerimeterandArea/Kevin_Gr%205%20Mea%20Storyboard%206.html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A02/content.html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=13
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A02/content_2.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Measurement%204-6.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Nn0
http://mathies.ca/learningTools.php#Pp0
Page 10 of 13
TIPS4Math
Area of a Rectangle
Resource
Teacher Guide:
Unit 2 Activity 1: Perimeter and
Area of Squares and Rectangles
Teacher Guide:
Unit 2 Activity 2: Perimeter and
Area of Irregular Polygons
Area and Perimeter
Factorize
Unit 2 Activity 1 – Minds On
Assignment 1: Same Area or
Not?
Guide to Effective Instruction:
Measurement Grades 4 – 6
mathies:
Colour Tiles
mathies:
Notepad
mathies:
Pattern Blocks
EduGAINS-Mathematics
Grade 5
URL
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content.html
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content_2.
html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=12
http://illuminations.nctm.org/Activity.aspx?id=3511
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A01/content.html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A02/assignment.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Measurement%204-6.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Nn0
http://mathies.ca/learningTools.php#Pp0
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TIPS4Math
Polygons with the Same Perimeter
Resource
URL
Teacher Guide:
Unit 2 Activity 1: Perimeter and
Area of Squares and Rectangles
Unit 2 Activity 1: Action
Area and Perimeter
Assignment 1: Dog Pen
Measurement
Guide to Effective Instruction:
Measurement Grades 4 – 6
mathies:
Colour Tiles
mathies:
Notepad
mathies:
Pattern Blocks
EduGAINS-Mathematics
Grade 5
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content.html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A01/content_2.html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=12
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A01/assignment.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Measurement%204-6.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Nn0
http://mathies.ca/learningTools.php#Pp0
Page 12 of 13
TIPS4Math
Polygons with the Same Area
Resource
URL
Teacher Guide:
Unit 2 Activity 1: Perimeter and
Area of Squares and Rectangles
Area and Perimeter
Unit 2 Activity 1: Consolidation
Guide to Effective Instruction:
Measurement Grades 4 – 6
mathies:
Colour Tiles
mathies:
Notepad
mathies:
Pattern Blocks
Grade 5
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content.html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=12
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A01/content_3.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Measurement%204-6.pdf
http://mathies.ca/learningTools.php
http://mathies.ca/learningTools.php#Nn0
http://mathies.ca/learningTools.php#Pp0
Perimeter and Area Problems with Unit Conversions
Resource
URL
Teacher Guide:
Unit 2 Activity 1: Perimeter and
Area of Squares and Rectangles
Area and Perimeter
Guide to Effective Instruction:
Measurement Grades 4 – 6
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content.html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=12
http://oame.on.ca/eduproject/ontariomathedresources/files/Measurement%204-6.pdf
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