🔄 What is a Rotation?
Rotation means turning a shape around a fixed point called the **center of rotation**.
We can turn shapes clockwise (like a clock) or counterclockwise.
📐 Common Rotation Angles
90° Rotation → Quarter turn
180° Rotation → Half turn
270° Rotation → Three-quarter turn
360° Rotation → Full turn (back to start)
🌟 Examples of Rotations
Rotating a Triangle 90° Clockwise
The triangle turns to the right like the hands of a clock.
Rotating a Square 180°
The square looks the same after turning halfway around.
🗺️ Rotations on a Coordinate Grid
When we rotate around the origin (0,0):
- 90° clockwise: (x, y) becomes (y, -x)
- 180°: (x, y) becomes (-x, -y)
✏️ Let’s Practice Together, My Dear Student!
Practice 1: Name the Rotation
1. Turning a shape halfway around → 180° rotation
2. Turning a shape a quarter turn clockwise → 90° clockwise
3. Turning a full circle → 360° rotation
Practice 2: Real Life
1. Spinning a basketball on your finger → Rotation
2. Turning the pages of a book → Rotation
3. Sliding a book across the table → Not rotation (translation)
Practice 3: Word Problems (Canadian Style)
1. You turn a map 90° clockwise to read it better. What kind of transformation is this?
Rotation
2. A wheel on a bicycle turns around its center. What transformation is happening?
Rotation
Challenge Question
If you rotate a shape 180°, does it look the same as the original? (For most shapes)
Yes for symmetric shapes like squares and circles, but the position of points changes.
Fantastic Job, My Dear Student! 🎉
You now understand Rotations (turns) very well! You have learned all three main transformations: Translations (slides), Reflections (flips), and Rotations (turns).
I am so proud of you! Try turning objects on your desk (like a book or a pencil) and describe the rotation.
💕 You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic and I will create another beautiful lesson just for you!