Download Angles and Geometric Properties of 2D Shapes

TIPS4Math
Grade 5
Angles and Geometric Properties of 2D Shapes
Overall Expectation
Students will:
• Identify and classify two-dimensional shapes by side and angle properties, and compare and sort three-dimensional figures
Specific Expectations
Students will:
• Distinguish among polygons, regular polygons, and other two-dimensional shapes (5m49)
• Identify and classify acute, right, obtuse, and straight angles (5m51)
• Measure and construct angles up to 90º, using a protractor (5m52)
• Identify triangles (i.e., acute, right, obtuse, scalene, isosceles, equilateral), and classify them according to angle and side
properties (5m53)
• Construct triangles, using a variety of tools, given acute or right angles and side measurements (5m54)
Lesson
Learning Focus
Regular Polygons and Other
Two-Dimensional Shapes
Measure and Construct Angles
•
•
Classify two-dimensional shapes that are regular and irregular polygons
(closed figure, 3 or more straight sides and angles)
Measure and construct angles up to 90 degrees using a protractor
Identify and Classify Angles
•
•
Investigate different angles in polygons
Identify and classify acute, right, obtuse and straight angles
Properties of Triangles
•
Construct Triangles
•
•
•
Measure length of sides of different triangles and classify (scalene,
isosceles, equilateral)
Measure angles in different triangles and classify (acute, right, obtuse)
Investigate symmetry of triangles (help identify side properties and angles)
Construct triangles using, a variety of tools (e.g., protractor, compass,
geometry software), given properties of a triangle
Specific
Expectations
5m49
5m51
5m52
5m49
5m51
5m52
5m53
5m54
Consolidation and Summative Tasks
EduGAINS-Mathematics
Page 1 of 7
TIPS4Math
Regular Polygons and Other Two-Dimensional Shapes
Specific Expectations: 5m49
Learning Focus
Minds
On
•
Action
•
Blended Learning
Identify two-dimensional
shapes that are not polygons
(e.g., circles, ovals,
organic shapes, semi-circle,
open shapes)
Classify two-dimensional
shapes that are regular and
irregular polygons (closed
figure, 3 or more straight sides
and angles)
Grade 5
Other Resources
Teacher Guide
Unit 3 Activity 4: Three Dimensional Figures
OERB ID: ELO1476830
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
• pp 14 -30 The Big Ideas in
Geometry and Spatial Sense
• pp 38 – 52 Learning About
Two - Dimensional Shapes
Unit 3 Activity 4: Minds On
• Geo-Nuts Part 1 Two-Dimensional Shapes
OERB ID : ELO1414630
o sort two-dimensional shapes
NCTM Illuminations
• Working with Shapes
Consolidation
Specific Expectations: 5m51, 5m52
Learning Focus
Minds
On
Action
Measure and Construct Angles
•
Review benchmark angles and
their measures
•
Measure and construct angles
up to 90 degrees using a
protractor
Blended Learning
Teacher Guide
Unit 3 Activity 1: Types of Triangles
OERB ID: ELO1476830
Other Resources
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
• pp 79 – 90 Two – Dimensional
Shapes Comparing Angles
Unit 3 Activity 1: Action
OERB ID : ELO1476660
• How to Measure Angles
Note: supplementation required for constructing
angles and further measuring practice
Consolidation
EduGAINS-Mathematics
Page 2 of 7
TIPS4Math
Identify and Classify Angles
Specific Expectations: 5m49, 5m51, 5m52
Learning Focus
Minds • Measure and construct angles
On
Action • Investigate different angles in
•
Blended Learning
Grade 5
Other Resources
polygons
Identify and classify acute,
right, obtuse and straight
angles
Consolidation
Specific Expectations: 5m53
Learning Focus
Minds
On
Action
Properties of Triangles
Blended Learning
Teacher Guide
Unit 3 Activity 1: Types of Triangles
OERB ID: ELO1476830
Unit 3 Activity 1: Minds On
OERB ID: ELO1476660
• Comparing triangle through similarities and
differences
Unit 3 Activity 1: Action
• Acute Connie’s Triangle Talk
OERB ID: ELO1414650
o reviews angle names and introduces
triangle types
Other Resources
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
• pp 79 – 90: Grade 5 Learning
Activity: Two - Dimensional:
Shapes Comparing Angles
Note: supplementation required for investigating
symmetry of triangles, measuring angles and
side lengths to classify triangles
Consolidation
EduGAINS-Mathematics
Page 3 of 7
TIPS4Math
Specific Expectations: 5m54
Learning Focus
Minds
On
•
Action
•
Construct Triangles
Blended Learning
Teacher Guide
Unit 3 Activity 1: Types of Triangles
OERB ID: ELO1476830
Review the properties of
various types of triangles (side
lengths, angle measures,
symmetry)
Construct triangles using, a
Unit 3 Activity 1: Action
variety of tools (e.g., protractor, • Triangle construction using virtual geoboard
compass, geometry software),
o construct, measure angles and classify
given properties of a triangle
4 different triangles
OERB ID: ELO1476660
Consolidation
Grade 5
Other Resources
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
• pp 14 – 30 The Big Ideas in
Geometry and Spatial Sense
• pp 38 – 52 Learning About
Two - Dimensional Shapes
Note: supplementation required for
constructions using other tools
Unit 3 Activity 1: Consolidation
• Discussion: Can you have a triangle which
is both isosceles and right?
Note: encourage reasoning through construction
EduGAINS-Mathematics
Page 4 of 7
TIPS4Math
Consolidation & Summative Tasks
Specific Expectations: 5m49, 5m51, 5m52, 5m53, 5m54
Blended Learning
Unit 3 Activity 1: Consolidation
• Assignment 1: Identifying Triangles
o
create triangle riddles which include angle and side length
clues
EduGAINS-Mathematics
Grade 5
Other Resources
Page 5 of 7
TIPS4Math
Regular Polygons and Other Two-Dimensional Shapes
Resource
URL
Teacher Guide:
Unit 3 Activity 4:
Three Dimensional Figures
Geo-Nuts Part 1
Two-Dimensional Shapes
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
NCTM Illuminations:
Working with Shapes
Grade 5
https://download.elearningontario.ca/repository/14/1476830000/GRD5MTHEU06A06/content_4.
html
https://download.elearningontario.ca/repository/14/1476690000/GRD5MTHEU03A04/mme/Gr5_
Math_Geo_GeoNutsPart12D/Gr5_Math_Geo_TwoDShapes_OF/Driscoll_Gr5GeoNutsPt1.html
http://oame.on.ca/eduproject/ontariomathedresources/files/Guide%20Geometry%20Spatial%20
Sense%204-6.pdf
https://illuminations.nctm.org/Lesson.aspx?id=1794
Measure and Construct Angles
Resource
URL
Teacher Guide:
Unit 3 Activity 1:
Types of Triangles
Unit 3 Activity 1: Action
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1476830000/GRD5MTHEU06A06/content.html
https://download.elearningontario.ca/repository/14/1476660000/GRD5MTHEU03A01/content_2.
html
http://oame.on.ca/eduproject/ontariomathedresources/files/Guide%20Geometry%20Spatial%20
Sense%204-6.pdf
Page 6 of 7
TIPS4Math
Properties of Triangles
Resource
Teacher Guide:
Unit 3 Activity 1:
Types of Triangles
Unit 3 Activity 1: Minds On
Acute Connie’s Triangle Talk
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
Construct Triangles
Resource
Teacher Guide
Unit 3 Activity 1:
Types of Triangles
Unit 3 Activity 1: Action
Unit 3 Activity 1: Consolidation
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4-6
Grade 5
URL
https://download.elearningontario.ca/repository/14/1476830000/GRD5MTHEU06A06/content.html
https://download.elearningontario.ca/repository/14/1476660000/GRD5MTHEU03A01/content.html
https://download.elearningontario.ca/repository/14/1476660000/GRD5MTHEU03A01/mme/Gr5_
Math_Geo_AcuteConnieTriTalk/Gr5_Geo_AcuteConniesTriangleTalk/Driscoll_Gr5GeoTriangleTalk.
html
http://oame.on.ca/eduproject/ontariomathedresources/files/Guide%20Geometry%20Spatial%20
Sense%204-6.pdf
URL
https://download.elearningontario.ca/repository/14/1476830000/GRD5MTHEU06A06/content.html
https://download.elearningontario.ca/repository/14/1476660000/GRD5MTHEU03A01/content_2.
html
https://download.elearningontario.ca/repository/14/1476660000/GRD5MTHEU03A01/content_3.
html
http://oame.on.ca/eduproject/ontariomathedresources/files/Guide%20Geometry%20Spatial%20
Sense%204-6.pdf
Consolidation and Summative Tasks
Resource
URL
Unit 3 Activity 1: Consolidation
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1476660000/GRD5MTHEU03A01/content_3.
html
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