Students will plan and then animate a symmetrical dance move, using angles of rotation and translations.

*Symmetry, Angles of Rotation, and Translation *

**Part 1: My Symmetrical Dance Move** (40 minutes)

**Part 2: My Symmetrical Dance Duo** (40 minutes)

- My Symmetrical Dance Move Student Sheets
- iPad with Choreo Graph app
- Wifi access for sharing to other iPads or online project space
- Graph paper
- Pre-requisites: line of symmetry between two objects; coordinate notation for describing translations and transformations

Symmetry can be cool, especially in a dance move. Take a picture of your classmate, teacher, or family member or use a prefabricated robot and trace the parts that you want to animate. As you piece your parts together, plan out the symmetry you will be incorporating into your dance move.

**Part 1: My Symmetrical Dance Move** (40 minutes)

Have students:

- Sketch out the symmetrical dance moves they would like to create.
- Take a picture of their classmate, teacher, family member, or of themself and trace the parts that they want to animate.
- Piece their parts together on the stage; have them think about the symmetry that they will be incorporating into their dances.
- As they start to choose rotation angle measurements for each body part, make sure that students are maintaining symmetry in their dancer.
- When they are done, have students share their creations with classmates. Ask students: How did you achieve symmetry?

**Part 2: My Symmetrical Dance Move Duo** (40 minutes)

Have students:

- Plan and think about what differences and similarities it will take to make a symmetrical dance duo (two dancers on the stage). Encourage students make sketches of their plans.
- Consider the rotation angle measurements, and incorporate the translations.
- Select the pictures they want to use, and trace and create all the parts they will need.
- Create the virtual dance and share with their classmates.

While students are creating their symmetrical dance moves, it’s important to prompt their thinking around the following areas:

- How to define symmetry
- What kind of math it takes to make their dancers symmetrical
- Graphs of symmetrical shapes may be surprising. Compare the graphs of the parts that are moving in symmetry. Are the graphs the same or different? Why?

Extensions and Inquiring Further

To look at different types of symmetry, students can add more people or objects to the mix. Have students consider what they need to focus on to ensure symmetrical motions among the dancers.

Name: __________________________ Date: _____________

** **

- Take a picture of your classmate, teacher, family member, or yourself, and trace the parts that you want to animate.

- As you piece your parts together on the stage, think about the symmetry that you will be incorporating into your dance.

- As you start to choose rotation angle measurements for each body part, make sure that you are maintaining symmetry in your dancer. Sketch out the dance moves.

- When you’re done, share with your classmates and look at their symmetrical dancers.

Name: __________________________ Date: _____________

**Part 1: My Symmetrical Dance Move **

- Sketch your symmetrical dancer in the space provided (make sure to draw the line of symmetry!)

Plan out the steps to make a symmetrical dance move!

Step | Pivot Point 1 | Angle of Rotation | Translation(x,y) | Pivot Point 2 | Angle of Rotation | Translation (x,y) |

1 | ||||||

2 | ||||||

3 |

**Part 1: My Symmetrical Dance Move **

**Reflection Questions:**

- How would you define symmetry?

- What did it take to make your dancer symmetrical?

- Are there any moving parts on your dancer that are not symmetrical?

Name: __________________________ Date: _____________

** **

**Part 2: My Symmetrical Dance Duo**

- Plan and think about the possible differences and similarities in creating a symmetrical dance duo. Make some sketches of your plan.

- Find the pictures you want to use, and trace to create all the parts you will need.

- Set the rotation angle measurements and incorporate the translations for your two dancers.

- Create the virtual dance and share with your classmates.

Name: __________________________ Date: _____________

**Part 2: My Symmetrical Dance Duo**

- Sketch your symmetrical dance duo in the space provided (make sure to draw the line of symmetry!)

- Plan out the steps to make a symmetrical dance duo.

Step | Pivot Point 1 | Angle of Rotation | Translation(x,y) | Pivot Point 2 | Angle of Rotation | Translation (x,y) |

1 | ||||||

2 | ||||||

3 |

Name: __________________________ Date: _____________

** **

**Part 2: My Symmetrical Dance Duo**

**Reflection Questions:**

- If one dancer slides in one direction, what will the other one have to do?

- How did you create two dancers that were symmetrical to each other?

- How did making two dancers appear symmetrical differ from making one dancer symmetrical?

- Identify differences and similarities in the angle rotations on the two different dancers.

Begin by entering Make Some Moves. In **Build** mode, students will:

- Take pictures
- Trace and cut out parts of your photo that you want to animate
- Add graphic or musical elements below:

In **Animate** mode, students will use the:

**Graph Controller****. **Choreo Graph uses keyframes much like other movie editing software. At each point in the keyframe, the student can manipulate how each part of the animation rotates. Each point represents the position of that part at a specific time. Stretch the points up and down to set the degrees of rotation. The steeper the line on the graph, the faster the part moves.

Toggle on math tools to notice:

Degrees each part has rotated

Path the main part travels

The location of each part and coordinates

[…] instructor should have foundational knowledge of Choreo Graph app. This activity was adapted from My Symmetrical Dance Move and Create A Synchronized Dance […]