Unit Plans are detailed documents for each strand in math. The specific Ontario Curriculum Expectations that are to be taught are addressed in each unit plan, as well as a detailed listing of applicable resources to help guide your instruction. Appropriate learning tools (i.e. manipulative's) are also listed for teacher reference along with sample problems. These plans usually highlight key pages from a students text which correspond to the concepts/skills being taught during said unit.
An example of a Unit Plan for Grade 4 Geometry & Spatial Sense, courtesy of the Simcoe County District School board, is outlined below:
Unit 6: Geometry & Spatial Sense
An example of a Unit Plan for Grade 4 Geometry & Spatial Sense, courtesy of the Simcoe County District School board, is outlined below:
Unit 6: Geometry & Spatial Sense
Overall
Expectations:
4m58 identify quadrilaterals and classify them
by their geometric properties, and compare various angles to benchmarks;
4m59
construct three-dimensional figures, using two-dimensional shapes
Key Principles
Making Math Meaningful
pg 283-315, 455-460
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Specific Expectations
(ie is a ‘must’)
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Examples
Sample Problems
(optional)
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Learning Tools
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Resources
Effective Guides 4-6: Geometry
pg. 14-30, 39-52
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Many of the same properties and
attributes that apply to 2-D shapes apply to 3-D shapes. The fact that every shape can be “cut-up”
and rearranged into other shapes is a fundamental part.
Many geometric properties and
attributes are related to measurements.
Children’s ability to conceptualize
shape develops through different stages.
Level 0: Visualization
“What individual shapes look like”
Level 1: Analysis
Shapes are a part of a group of
similar shapes, and begin to take note of the properties.
Level 2: Informal Deduction
Apply “if-then” reasoning and are
ready to consider simple logical arguments about shape properties.
Level 3 and 4 involve more formal work.
Using concrete materials to model
angles is important at this stage, to help students develop a definition of
what an angle is.
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4m61: draw the lines of
symmetry of two-dimensional shapes, through investigation using a variety of
tools and strategies
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e.g. Mira, grid paper
Use paper folding to compare the
symmetry of a rectangle with the symmetry of a square.
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Cuisenaire rods
geoboard
Geometer’s Sketchpad
Grid paper
Linking cubes
Mira
pattern blocks
protractors
sorting circles
straws
tangrams
variety of regular and irregular
polygons
variety of irregular 2-D shapes
3-D solids
(everyday objects such as cereal boxes,
soup cans, water bottles etc.)
Venn Diagram
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Effective
Guides 4-6: Geometry pg 79-90
Two-Dimensional
Shapes: Comparing Angles
Nelson Ch 7 Lesson 7
Super
Source (5-6 All Manip Geometry):
Place
the Mirror, Symmetry All Around, Finding Shapes With Symmetry, Looking for
Symmetry
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4m62: identify and compare
different types of quadrilaterals (i.e., rectangle, square, trapezoid,
parallelogram, rhombus) and sort and classify them by their geometric
properties
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e.g., sides of equal length; parallel
sides; symmetry; number of right angles
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Nelson
Ch 7 Lesson 1, Ch 7 Supplement A: Comparing Angles
Super
Source (5-6 All Manip Geometry)
What
is a Quadrilateral?
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4m63: identify benchmark
angles (i.e., straight angle, right angle, half a right angle), using a reference
tool, and compare other angles to these benchmarks
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“The
angle the door makes with the wall is smaller than a right angle but greater
than half a right angle.”
Use
paper folding to create benchmarks for a straight angle, a right angle, and
half a right angle, and use these benchmarks to describe angles found in
pattern blocks.
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Effective
Guides 4-6: Geometry pg 79-90
Two-Dimensional
Shapes: Comparing Angles
Nelson
Ch 7 Supplement A: Comparing Angles
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4m64: relate the names of
the benchmark angles to their measures in degrees
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e.g., a right angle is 90 degrees
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Effective Guides
4-6: Geometry pg 79-90
Two-Dimensional
Shapes: Comparing Angles
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4m65: 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
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Effective
Guides 4-6: Geometry pg 91-107
Three-Dimensional
Figures: Construction Challenge
Nelson
Ch 11 Lesson 1
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4m66: construct a
three-dimensional figure from a picture or model of the figure, using
connecting cubes
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e.g., use connecting cubes to
construct a rectangular prism
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Nelson Ch 11 Lesson 2
Super
Source (5-6 All Manip Geometry)
Master
Builder
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4m67: construct skeletons
of three-dimensional figures, using a variety of tools, and sketch the
skeletons
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e.g., straws and modeling clay,
toothpicks and marshmallows, Polydrons
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Nelson Ch 11 Lesson 3, Supplement Lesson B: Sketching Models
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4m68: draw and describe
nets of rectangular and triangular prisms
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Create as many different nets for a
cube as you can, and share your results with a partner.
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Nelson Ch 11 Supplement Lesson A: Using Nets
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4m69:
construct prisms and pyramids from given nets;
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Nelson Ch 11 Supplement Lesson A: Using Nets
Super
Source (5-6 All Manip Geometry):
Building
Pyramids, Penta Nets
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4m70:
construct three-dimensional figures, using only congruent shapes
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e.g., cube, tetrahedron
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Effective
Guides 4-6: Geometry pg 91-107
Three-Dimensional
figures: Construction Challenge
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A great website to utilize for detailed Unit Plans is Illuminations - Resources for Teaching Mathematics. The link is below:
http://illuminations.nctm.org/Unit.aspx?id=6528
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