Transformation rotation
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Transcript of Transformation rotation
PS 0270
ICT in PRIMARY SCIENCE AND MATHEMATICS
Done by: Rasidah Mahmud 10d0010
Lecturer: Dr. Leong Yong Pak
Submission date: 25th September 2010
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 programa) Go to: http://nlvm.usu.edu/en/nav/vlibrary.htmlb) 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.
Click this area. Click this area.
Click to open the program
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 two lines = Angle of rotation
To change the angle of rotation: Using mouse, select this point; click, hold and drag it either clockwise or anti clockwise direction to change the size of an angle.
Clockwise: Drag point to the rightAnti-Clockwise: Drag point to the left
Displayed object
Click the clear button here
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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.
To change the angle of rotation: Using mouse, select this point; click, hold and drag it either clockwise or anti clockwise direction to change the size of an angle.
Clockwise: Drag point to the rightAnti-Clockwise: Drag point to the left
Choose one or more shapes here and click to insert it.
Change the colour of shapes here.
- Original object with black border- Rotate object by clicking and dragging it.
Result of the rotated object.
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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 studentsActivity 1: Playing with Rotations- Read and explain the instructions to the students- Give hint to the students
2) Medium achiever’s studentsActivity 1: Playing with Rotations and Activity 2: Hitting a Target- Read the instructions to the students
3) High achiever’s studentsActivity 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
Click the next arrow button to proceed with activity 2 and activity 3.
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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
CA1
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 Co Measure the line PC o Draw a line 90° clockwise from PC, centre P, the same length as PCo Repeat the method for B and A on the original shapeo 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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