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Unit Plans


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
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
Specific Expectations
(ie is a ‘must’)
Examples
Sample Problems
(optional)
Learning Tools
Resources
Effective Guides 4-6: Geometry
pg. 14-30, 39-52
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.
4m61: draw the lines of symmetry of two-dimensional shapes, through investigation using a variety of tools and strategies
e.g. Mira, grid paper
Use paper folding to compare the symmetry of a rectangle with the symmetry of a square.
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



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
4m62: identify and compare different types of quadrilaterals (i.e., rectangle, square, trapezoid, parallelogram, rhombus) and sort and classify them by their geometric properties
e.g., sides of equal length; parallel sides; symmetry; number of right angles

Nelson Ch 7 Lesson 1, Ch 7 Supplement A: Comparing Angles
Super Source (5-6 All Manip Geometry)
What is a Quadrilateral?
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


“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.
Effective Guides 4-6: Geometry pg 79-90
Two-Dimensional Shapes: Comparing Angles
Nelson Ch 7 Supplement A: Comparing Angles

4m64: relate the names of the benchmark angles to their measures in degrees
e.g., a right angle is 90 degrees

Effective Guides 4-6: Geometry pg 79-90
Two-Dimensional Shapes: Comparing Angles
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

Effective Guides 4-6: Geometry pg 91-107
Three-Dimensional Figures: Construction Challenge 
Nelson Ch 11 Lesson 1
4m66: construct a three-dimensional figure from a picture or model of the figure, using connecting cubes
e.g., use connecting cubes to construct a rectangular prism

Nelson Ch 11 Lesson 2
Super Source (5-6 All Manip Geometry)
Master Builder
4m67: construct skeletons of three-dimensional figures, using a variety of tools, and sketch the skeletons
e.g., straws and modeling clay, toothpicks and marshmallows, Polydrons
Nelson Ch 11 Lesson 3, Supplement Lesson B: Sketching Models
4m68: draw and describe nets of rectangular and triangular prisms

Create as many different nets for a cube as you can, and share your results with a partner.
Nelson Ch 11 Supplement Lesson A: Using Nets
4m69: construct prisms and pyramids from given nets;

Nelson Ch 11 Supplement Lesson A: Using Nets
Super Source (5-6 All Manip Geometry):
Building Pyramids, Penta Nets
4m70: construct three-dimensional figures, using only congruent shapes
e.g., cube, tetrahedron
Effective Guides 4-6: Geometry pg 91-107
Three-Dimensional figures: Construction Challenge

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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