3D Figures

TIPS4Math
Grade 4
3D Figures
Overall Expectations
Students will:
• Identify quadrilaterals and three-dimensional figures and classify them by their geometric properties, and compare various angles
to benchmarks (4m58)
• Construct three-dimensional figures, using two-dimensional shapes (4m59)
Specific Expectations
Students will:
• Identify and describe prisms and pyramids, and classify them by their geometric properties (i.e., shape of faces, number of edges,
number of vertices), using concrete materials (4m65)
• Construct a three-dimensional figure from a picture or model of the figure, using connecting cubes (4m66)
• Construct skeletons of three-dimensional figures, using a variety of tools, and sketch the skeletons (4m67)
• Draw and describe nets of rectangular and triangular prisms (4m68)
• Construct prisms and pyramids from given nets (4m69)
• Construct three-dimensional figures, using only congruent shapes (4m70)
Lesson
Learning Focus
Properties of Prisms and
• Describe and classify prisms and pyramids, based on their geometric
Pyramids
properties (shape of faces, number of edges, number of vertices)
Construct Prisms and Pyramids • Construct a three-dimensional figure from a picture or model using concrete
from Pictures or Models
materials
Construct and Draw Skeletons • Construct skeletons of three-dimensional figures, using a variety of tools
(straws, modelling clay, toothpicks, marshmallows, Polydrons, software)
of Prisms and Pyramids
• Sketch the skeletons
Draw and Describe Nets of
• Draw and describe nets of rectangular and triangular prisms
Prisms
Construct Prisms and Pyramids • Construct prisms and pyramids from given nets
from Nets
o dynamic software, concrete materials
Construct 3D Figures from
• Construct three-dimensional figures using only congruent shapes
Congruent Shapes
o dynamic software and concrete materials
Consolidation and Summative Tasks
EduGAINS-Mathematics
Specific
Expectations
4m65
4m66
4m67
4m68
4m69
4m70
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TIPS4Math
Grade 4
Specific Expectations: 4m65
Properties of Prisms and Pyramids
Learning Focus
Blended Learning
Minds • Sort 2D and 3D figures
On
Action • Describe and classify prisms
Other
Resources
NCTM Illuminations
• Getting to Know the Shapes
• Study the Solids
and pyramids, based on their
geometric properties (shape of
faces, number of edges,
number of vertices)
Consolidation
Construct Prisms and Pyramids from Pictures or Models
Specific Expectations: 4m66
Learning Focus
Minds
On
•
Review properties of prisms
and pyramids
Action • Construct a three-dimensional
figure from a picture or model
using concrete materials
Blended Learning
Teacher Guide:
Unit 3 Activity 3: Constructing 3D Figures
OERB ID: ELO1471930
Unit 3 Activity 3: Minds On
OERB ID: ELO1470650
• Group Work – Three-Dimensional Figure
Sort – open sort, build rectangular prism
• Anchor chart for construction of 3D figures
Unit 3 Activity 3: Action
• Group Work – More Rectangular Prisms
o build more rectangular prisms
• Group Work – Construction Challenge
o build prisms-only congruent shapes
Other
Resources
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4 – 6
• pp 91 – 99 Three-Dimensional
Figures: Construction Challenge
Consolidation
EduGAINS-Mathematics
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TIPS4Math
Grade 4
Construct and Draw Skeletons of Prisms and Pyramids
Specific Expectations: 4m67
Learning Focus
Blended Learning
Teacher Guide:
Unit 3 Activity 3: Constructing 3D Figures
OERB ID: ELO1471930
Other
Resources
NCTM Illuminations
• Construct a Solid
Minds • Review properties of prisms
and pyramids
On
Action • Construct skeletons of
Unit 3 Activity 3: Action
three-dimensional figures,
OERB ID: ELO1470650
using a variety of tools (straws, • Group Work – Constructing Skeletons
modelling clay, toothpicks,
marshmallows, Polydrons,
software)
• Sketch the skeletons
Unit 3 Activity 3: Consolidation
Consolidation
• Assignment 2: Skeleton Shapes
o identify which 3D figure could be
built by a number of straws and
clay balls
EduGAINS-Mathematics
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TIPS4Math
Grade 4
Specific Expectations: 4m68
Draw and Describe Nets of Prisms
Learning Focus
Blended Learning
Teacher Guide:
Unit 3 Activity 3: Constructing 3D Figures
OERB ID: ELO1471930
Minds • Construct and deconstruct
figures from 3D models
On
Action • Draw and describe nets of
rectangular and triangular
prisms
Consolidation
EduGAINS-Mathematics
Unit 3 Activity 3: Action
OERB ID: ELO1470650
• Constructing Three-Dimensional Figures
From Nets
o differentiate between prisms and
pyramids
Other
Resources
NCTM Illuminations
• Dynamic Paper
• Making a Shape Jacket
• More Work With Shapes
• Building a Box
• Getting to Know the Solids
Note: supplementation required for
drawing nets of rectangular and triangular
prisms
Unit 3 Activity 3: Consolidation
• Assignment 1: Teach An Alien
o create a figure from a net and
describe it
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TIPS4Math
Grade 4
Construct Prisms and Pyramids from Nets
Specific Expectations: 4m69
Learning Focus
Other
Resources
Blended Learning
Minds • Construct and deconstruct
figures from 3D models
On
Action • Construct prisms and pyramids
NCTM Illuminations
• Cube Nets
from given nets
o dynamic software, concrete
materials
Consolidation
Construct 3D Figures from Congruent Shapes
Specific Expectations: 4m70
Learning Focus
Other
Resources
Blended Learning
Minds • Review properties of 3D figures
On
Action • Construct three-dimensional
NCTM Illuminations
• Constructing a Three-Dimensional
Model
figures using only congruent
shapes
o dynamic software and
concrete materials
Consolidation
Consolidation & Summative Tasks
Specific Expectations: 4m65, 4m66, 4m67, 4m68, 4m69, 4m70
Blended Learning
EduGAINS-Mathematics
Other Resources
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TIPS4Math
Properties of Prisms and Pyramids
Resource
URL
NCTM Illuminations:
Getting to Know the Shapes
NCTM Illuminations:
Study the Solids
Grade 4
http://illuminations.nctm.org/Lesson.aspx?id=2172
http://illuminations.nctm.org/Lesson.aspx?id=1486
Construct Prisms and Pyramids from Pictures or Models
Resource
URL
Teacher Guide:
Unit 3 Activity 3:
Constructing 3D Figures
Unit 3 Activity 3: Minds On
Unit 3 Activity 3: Action
Guide to Effective Instruction:
Geometry and Spatial Sense
Grades 4 – 6
https://download.elearningontario.ca/repository/14/1471930000/Gr%204%20Math%20U3%20
Teacher%20Notes/Gr%204%20Math%20U3%20Teacher%20Notes/content_3.html
https://download.elearningontario.ca/repository/14/1470650000/GR4MTH-EPU03A03/content.html
https://download.elearningontario.ca/repository/14/1470650000/GR4MTH-EPU03A03/content_2.
html
http://oame.on.ca/eduproject/ontariomathedresources/files/Guide%20Geometry%20Spatial%20
Sense%204-6.pdf
Construct and Draw Skeletons of Prisms and Pyramids
Resource
URL
Teacher Guide:
Unit 3 Activity 3:
Constructing 3D Figures
Unit 3 Activity 3: Action
Assignment 2: Skeleton Shapes
NCTM Illuminations:
Construct a Solid
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1471930000/Gr%204%20Math%20U3%20
Teacher%20Notes/Gr%204%20Math%20U3%20Teacher%20Notes/content_3.html
https://download.elearningontario.ca/repository/14/1470650000/GR4MTH-EPU03A03/content_2.
html
https://download.elearningontario.ca/repository/14/1470650000/GR4MTH-EPU03A03/assignment.
html
http://illuminations.nctm.org/Lesson.aspx?id=1492
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TIPS4Math
Draw and Describe Nets of Prisms
Resource
URL
Teacher Guide:
Unit 3 Activity 3:
Constructing 3D Figures
Unit 3 Activity 3: Action
Assignment 1: Teach An Alien
NCTM Illuminations:
Dynamic Paper
NCTM Illuminations:
Making a Shape Jacket
NCTM Illuminations:
More Work With Shapes
NCTM Illuminations:
Building a Box
NCTM Illuminations:
Getting to Know the Solids
Grade 4
https://download.elearningontario.ca/repository/14/1471930000/Gr%204%20Math%20U3%20
Teacher%20Notes/Gr%204%20Math%20U3%20Teacher%20Notes/content_3.html
https://download.elearningontario.ca/repository/14/1470650000/GR4MTH-EPU03A03/content_2.
html
https://download.elearningontario.ca/repository/14/1470650000/GR4MTH-EPU03A03/assignment.
html
http://illuminations.nctm.org/Activity.aspx?id=3509
http://illuminations.nctm.org/Lesson.aspx?id=1500
http://illuminations.nctm.org/Lesson.aspx?id=1797
http://illuminations.nctm.org/Lesson.aspx?id=1837
http://illuminations.nctm.org/Lesson.aspx?id=3969
Construct Prisms and Pyramids from Nets
Resource
URL
NCTM Illuminations :
Cube Nets
http://illuminations.nctm.org/Activity.aspx?id=3544
Construct 3D Figures from Congruent Shapes
Resource
URL
NCTM Illuminations
Constructing a
Three-Dimensional Model
EduGAINS-Mathematics
http://illuminations.nctm.org/Lesson.aspx?id=2183
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