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PS 0270
ICT in PRIMARY SCIENCE AND MATHEMATICS
Done by: Rasidah Mahmud 10d0010
Lecturer: Dr. Leong Yong Pak
Submission date: 25th September 2010
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Topic: Geometry
Sub-Topic: Transformation – Rotation
Subject: Mathematics
Year: 10
Specific objectives:
At the end of the lesson, students will be able to:
Rotate an object on a coordinate plane.
Identify the direction of rotation.
Identify the centre of rotation.
Identify the angle of rotation.
Identify the coordinates of the object under a rotation.
Learning Outcomes:
Students will learn how to identify, describe and perform transformation rotation.
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PLAN A - ONLINE ACTIVITY
1. How to teach the lesson
Pre Lesson
Step 1: Prepare for the lesson
Resources needed: Computer or Laptop with good internet connectivity.
Website: http://nlvm.usu.edu/en/nav/vlibrary.html
The Lesson
Step 2: Introduce the topic
Give brief explanation about Transformation-Rotation program, how to open and use the
program to the students.
Explanation:
Transformation-Rotation is a program where students can dynamically interact with
an object and see the result of a rotation transformation.
Open the program
a) Go to: http://nlvm.usu.edu/en/nav/vlibrary.html
b) Choose Geometry Grade 9-12 and then click the selected area as shown below to
view the list of available Geometry topics.
c) Select Transformation-Rotation topic as shown below.
d) Open the program as shown below.
Clickthis
area.
Clickthis
area.
Clickto open
the program
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Use the program
a) Click the clear button first, to clear the displayed object.
b) Check the box to show the coordinate axes (horizontal and vertical).
Note: To remove the coordinate axes, uncheck the box.
c) Identify the centre of rotation and angle of rotation.
Centre of rotation (Centre point)
Angle of rotation (Angle between two lines)
Centre point= Centre
of rotation
To change the centre of
rotation:Using mouse,select the
centre point;click, hold and drag
it to the desired point.
Angle between
twolines= Angle
of rotation
To change the angle of rotation:
Using mouse,select this point; click,
hold and drag it either clockwise or
anti clockwisedirection to change
the size of an angle.
Clockwise:Drag pointto theright
Anti-Clockwise:Drag pointto the left
Displayed
object
Clickthe clear
buttonhere
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d) Inserting an object
Note: Students may insert more shapes by placing it at the original object as
shown below, and then, combine it to become one object.
e) Rotating an object
f) Deleting an object
- To delete an object, select an original object and then, click the delete button.
- To delete the inserted object, drag it to the bin as shown on the bottom right
corner of the program.
Choose one or more
shapes here andclickto
insertit.
Change the colourof
shapes here.
- Original objectwithblackborder
- Rotate objectby clickingand
draggingit.
Resultof the
rotatedobject.
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Step 3: Student’s Activity
Click on ‘Activities’ to view the list of available activities for the students. It will be on the
right-hand side of the program as shown below:
Suggested student’s activity
1) Low achiever’s students
Activity 1: Playing with Rotations
- Read and explain the instructions to the students
- Give hint to the students
2) Medium achiever’s students
Activity 1: Playing with Rotations and Activity 2: Hitting a Target
- Read the instructions to the students
3) High achiever’s students
Activity 2: Hitting a Target and Activity 3: Describing Rotations
- Students will understand the instructions on their own
- No hint will be given to the students
Activity1
Clickthe nextarrow button
to proceedwithactivity2
and activity3.
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BACKUP PLAN B - CLASSROOM ACTIVITY
1. How to teach the lesson
Pre Lesson
Step 1: Prepare for the lesson
Materials needed: Protractor, compasses, ruler and graph paper.
The Lesson
Step 2: Introduce the topic
Give brief explanation with diagram and examples of Transformation- Rotation on
the whiteboard to the students.
Explanation:
Rotation is a transformation in which object is rotated about fixed point. The
direction of rotation can be clockwise or anti-clockwise.
Clockwise rotation turns an object to the right direction whereas Anti-
clockwise rotation turns an object to the left direction.
The fixed point in which the rotation takes place is called the centre of
rotation.
The amount of rotation made is called the angle of rotation.
Diagram:
Examples:
a) Clockwise Rotation by 90° b) Anti-Clockwise
Rotation by 90°
.
Centre of
rotation, O
A
B
C
B1
A1 C1
90°
Clockwise
.
Centre of
rotation, O
Anti-Clockwise
90°
A B
C
A1
B1
C1
0
0
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Step 3: Suggested Student’s Exercise
1) Low achiever’s students
Exercise:
Rotate triangle ABC through 90° in a clockwise direction about point P.
Method:
o Draw a line PC between P and C
o Measure the line PC
o Draw a line 90° clockwise from PC, centre P, the same length as PC
o Repeat the method for B and A on the original shape
o Finally join up the ends of the lines to make the original shape but rotated
through 90°.
2) Medium achiever’s students
Exercise:
Rotate triangle ABC with vertices A (1, 2), B (3, 2) and C (1, 6) through 120° in a
clockwise direction about point P (-2,-3).
3) High achiever’s students
Exercise:
1. Write a rule to describe each rotation.
a) b)
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