# Transformation rotation

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- 1. 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.

11PLAN 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.

Click this area. 166751013335Click this area.

Click to open the program 1790700271145c) Select Transformation-Rotation topic as shown below.

d) Open the program as shown below.

19316702540

2

Use the program

2099310252730Click the clear button first, to clear the displayed object.

Click the clear button here Displayed object

1880235263525Check the box to show the coordinate axes (horizontal and vertical).

Note: To remove the coordinate axes, uncheck the box.

Angle between two lines = Angle of rotationIdentify the centre of rotation and angle of rotation.

Centre point = Centre of rotation

3027680257175Centre of rotation (Centre point)

To change the centre of rotation: Using mouse, select the centre point; click, hold and drag it to the desired point.

Angle of rotation (Angle between two lines)

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 left97536064135

3

Inserting an object

Choose one or more shapes here and click to insert it.293116019050

Change the colour of shapes here.

2343785587375Note: Students may insert more shapes by placing it at the original object as shown below, and then, combine it to become one object.

Result of the rotated object.Rotating an object

7080254445

- Original object with black border- Rotate object by clicking and dragging it.

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.

4Step 3: Students Activity

Click the next arrow button to proceed with activity 2 and activity 3.438150660400Click 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:

Activity 1

Suggested students activity

Low achievers studentsActivity 1: Playing with Rotations- Read and explain the instructions to the students- Give hint to the students

Medium achievers studentsActivity 1: Playing with Rotations and Activity 2: Hitting a Target- Read the instructions to the students

High achievers 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

5BACKUP PLAN B - CLASSROOM ACTIVITY

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:

B1A1.BC1Clockwise Rotation by 90 b) Anti-Clockwise Rotation by 90

A1C1ClockwiseAnti-Clockwise

C90.90B1

Centre of rotation, OCentre of rotation, O00BACA

66Step 3: Suggested Students Exercise

Low achievers students

Exercise:Rotate triangle ABC through 90 in a clockwise direction about point P.

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Method:

Draw a line PC between P and C

Measure the line PC

Draw a line 90 clockwise from PC, centre P, the same length as PC

Repeat the method for B and A on the original shape

Finally join up the ends of the lines to make the original shape but rotated through 90.

Medium achievers studentsExercise: 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).

High achievers studentsExercise:

Write a rule to describe each rotation.

39084251085851274445206375 b)

7

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