1. Lesson 3: Rotating Shapes

2. Some Things to Remember… Visualize how the shape is rotating Visualize how the shape is rotating What is a 90° turn? What is a 90° turn? What is a 180° turn? What is a 180° turn? What is a 270° turn? What is a 270° turn? What is a 360° turn? What is a 360° turn? - How would you explain these turns as fractions? - How would you explain these turns as fractions? Clockwise Turn Clockwise Turn - Turning right - Turning right Counter Clockwise Turn Counter Clockwise Turn - Turning left - Turning left

3. Do You See This Image???

4. Look At It Now… How was this shape rotated???

5. Now Look… How much has the shape been rotated?

6. Look ONE MORE TIME!!! How much has it been rotated???

7. Other Things to Remember… If an object is moved a certain amount, the vertex on that object moves that amount also If an object is moved a certain amount, the vertex on that object moves that amount also - Ex: Object moves 90°, vertex moves 90° also - Ex: Object moves 90°, vertex moves 90° also The size and shape of the resulting image are congruent The size and shape of the resulting image are congruent The orientation is different The orientation is different Note: Objects rotate from a CENTRE OF ROTATION Note: Objects rotate from a CENTRE OF ROTATION - May be inside or outside of the object - May be inside or outside of the object

8. Example

9. How to Rotate Find your Centre of Rotation Find your Centre of Rotation Place the top of your pencil on the centre of rotation Place the top of your pencil on the centre of rotation Turn your page the amount it asks (ex: 90° clockwise) Turn your page the amount it asks (ex: 90° clockwise) - Now your object looks different (turned on the side, or up or down) - Now your object looks different (turned on the side, or up or down) - You draw your new object exactly the way it looks rotated!!! (we will now come back to those other triangles) - You draw your new object exactly the way it looks rotated!!! (we will now come back to those other triangles) - Tracing out your object can help you remember how it is supposeed to be rotated - Tracing out your object can help you remember how it is supposeed to be rotated

10. Question On grid paper draw trapezoid ABCD with vertices A(2, 4), B(7, 4), C(7, 8) and D(4, 8). On grid paper draw trapezoid ABCD with vertices A(2, 4), B(7, 4), C(7, 8) and D(4, 8). Draw the image of the trapezoid each time and color it as indicated. Draw the image of the trapezoid each time and color it as indicated. - Rotate trapezoid ABCD (90º) turn clockwise about C(9, 8) and color the image blue. - Rotate trapezoid ABCD (90º) turn clockwise about C(9, 8) and color the image blue. - Rotate trapezoid ABCD (180º) turn about a point at (10, 9) and color the image red. - Rotate trapezoid ABCD (180º) turn about a point at (10, 9) and color the image red. - Rotate trapezoid ABCD (270º) turn counter clockwise about a point at (9, 4) and color the image yellow. - Rotate trapezoid ABCD (270º) turn counter clockwise about a point at (9, 4) and color the image yellow. Write the coordinates of the vertices of each rotated image. Describe if the centre of rotation has an effect on the location of the image. Write the coordinates of the vertices of each rotated image. Describe if the centre of rotation has an effect on the location of the image.

11. Questions Read about Rotating shapes pages 152- 153 Read about Rotating shapes pages 152- 153 2-7 on pages 154-155 2-7 on pages 154-155