SESSION #1 :
PROPERTIES AND INVESTIGATION OF SYMMETRY
SPECIFIC OBJECTIVES
VOCABULARY
PREVIOUS
KNOWLEDGE
SUGGESTED
RESOURCES
SUGGESTED
ASSESSMENT(S)
At the end of this Unit
students will be able to:
1.
Define the terms
symmetry and
asymmetry.
2.
Compare and classify
symmetric and
asymmetric objects.
3.
Classify patterns and
pictures (of
architecture, nature,
sports, graphic design,
and objects that
surround them every
day) in terms of
reflective/line
symmetry
Classroom and it’s
components, as well as
the school environment
Students identify and list
a specified number of
items which are
symmetrical in the
environment
4.
Use symmetry to
predict the form of a
complete shape
Pattern blocks or
Geoboards to construct
half of a shape
5.
Identify lines of
symmetry in letters of
the alphabet, and
numbers
Paper cut-outs of the
capital letters of the
alphabet and the
numerals 0 to 9
Activity sheet - Draw the
line(s) of symmetry on
the given capital letters
and numerals
SESSION #2 :
PROPERTIES AND APPLICATIONS OF TRANSLATION
SPECIFIC OBJECTIVES
VOCABULARY
PREVIOUS
KNOWLEDGE
SUGGESTED
RESOURCES
At the end of this Unit
students will be able to:
1.
Describe the
properties of a basic
translation
2.
Identify translations
given various objects
and images.
3.
4.
SUGGESTED
ASSESSMENT(S)
Formative - monitor and
provide feedback.
Coordinate/Cartesian
plane, coordinates,
transformation,
translation, image,
slide , x-axis, y-axis,
origin, point, line
segment, plane,
object, image
Student can identify the
basic two-dimensional
shapes of a square, a
triangle, and a
parallelogram.
Pictures of various
translations
Tangram Pieces
Geoboard
Coloured Rubber
Bands to demonstrate
translations of shapes
Given examples and non
examples, students in
groups of three’s classify
given pictures into
translations and nontranslations. Students
explain verbally the
reason(s) for classifying
each picture the way they
did.
Generate patterns
using the properties
of translation
Any instrument(s) of
their choice: geometric
instruments, Colour
Pencils, Ruler, etc….
Students will create
original individual
designs using the
concept of translation of
shapes of their choice
Construct and label
components of the
Cartesian plane,
Graph board
Graph Paper
Long Meter Rule
Students are familiar
with the concept of
Directed Numbers,
including the x-axis,
y-axis, and origin
5.
Plot points in the
form (x,y) on the
Cartesian Plane
6.
Deduce the
coordinates of given
points plotted on the
Cartesian Plane
7.
Perform translation of
a given point and, by
extension, a line (as a
series of points) on
the Cartesian Plane,
given the movement
in terms of number of
units to the left/right
Students construct and
label the components of
the Cartesian Plane and
plot and label given list
of points in the form
(x,y)
Worksheet: Given a
Cartesian Plane with
given labeled plotted
points, students are
required to determine
their coordinates, writing
them in the form (x,y)
Two Worksheets:
On given templates of a
Cartesian Plane with
a) a number of
plotted points,
and
b) a number of
specific line
and number of units
up/down
8.
9.
Perform translation of
given shapes
(including capital
letters of the
alphabet)
Describe given object
and image points/ line
segments/ shapes on
graph paper as
movement in terms of
number of units to the
right/left and number
of units up/down.
segments
respectively,
students are required to
perform the specified
translations given as
movement in terms of
number of units to the
left/right and number of
units up/down
Worksheets
Worksheets
SESSION #3 : PROPERTIES AND APPLICATION OF A SINGLE REFLECTION IN A LINE OR SURFACE
SPECIFIC OBJECTIVES
VOCABULARY
PREVIOUS
KNOWLEDGE
SUGGESTED
RESOURCES
At the end of this Unit
students will be able to:
1. Describe the
properties of a
reflection
2. Identify
reflections given
various objects
and images.
3. Perform
reflections of
given shapes
(including capital
letters of the
alphabet) and the
mirror line.
SUGGESTED
ASSESSMENT(S)
Formative - monitor and
provide feedback.
Coordinate/Cartesian
plane, coordinates,
transformation,
reflection, x-axis, yaxis, origin, point,
line segment, plane,
object, image, mirror
line, flip, orientation,
equidistance,
perpendicular
Student can identify the
basic two-dimensional
shapes of a square, a
triangle, and a
parallelogram.
Students are familiar
with the concept of
Directed Numbers
Technological:
Students must be able
to perform basic mouse
manipulations such as
point, click and drag,
and use a browser for
experimenting with the
assessment activities
Students must have
knowledge of how to
Tangram Pieces
Mira Reflection Tool
Geoboard
Coloured Rubber
Bands to demonstrate
reflection of shapes
Given examples and non
examples, students in
groups of three’s classify
given pictures into
reflections and nonreflections. Students
explain verbally the
reason(s) for classifying
each picture the way
they did.
Worksheets
4. Generate patterns
using the
properties of
reflection
5. Perform reflection
of a given point
and, by extension,
a line (as a series
of points) on the
Cartesian Plane,
given specific
mirror lines
6. Deduce the mirror
line given the
object and image
of a reflection
draw the Cartesian
Plane and
 label the x-axis,
y-axis, and
origin
 Plot points in
the form (x,y)
 Deduce the
coordinates of
given points
plotted
Any instrument(s) of
their choice:
geometric instruments,
Colour Pencils, Ruler,
etc….
Students will create
original individual
designs using the
concept of reflection of
shapes of their choice
Graph board
Graph Paper
Long Meter Rule
Two Worksheets:
On given templates of a
Cartesian Plane with
a) a number of
plotted
points, and
b) a number of
specific line
segments
respectively,
students are required to
perform reflections given
specified mirror lines
Set Squares
Worksheets
7. Describe a
reflection fully, in
terms of the
object, the image
and the mirror
line
Worksheets