Students will explore concepts of angles of rotation and translation as they create animated short story scenes with objects that move around a path of their choosing, such as a car traversing a city, a superhero flying over a cityscape, planets traveling in orbit, or other scenes they can imagine.
Angles of Rotation, Translations, and Coordinate Grids
Part 1: Choreograph Your Own Scene (40 minutes)
Part 2: Create An Alternative Story (20-40 minutes)
Materials and Prep
Choreo Graph allows you to create a wide array of scenes with objects that you animate to move from place to place. Create a small story that involves a couple of landmarks or objects, a starting point, midpoint, and an ending point. Share the math you used to create your story.
Part 1: Choreo Graph Your Own Scene (40 minutes)
Have students:
Part 2: Create an Alternative Story (20-40 minutes)
Have students:
While students are creating and sharing their story scenes, listen and look for:
Extensions and Inquiring Further
Using mathematical language that describes the movement of their object or character through their scene, have a student “read aloud” a portion of their story. See if classmates can recreate the some of the movements in the scene just by listening to what the “reader” describes.
Name: __________________________ Date: _____________
Part 1: Choreo Graph Your Own Scene
Create a small story that involves a couple of landmarks, with a starting point, a midpoint, and an ending point.
Story Scene: Select/create the scene for your story.
Story Landmarks & Objects:List at least three landmarks and two moving objects that you will feature in your story.
Landmark 1 __________________
Landmark 2 __________________
Landmark 3 __________________
Moving Object 1 _________________
Moving Object 2 _________________
Name: __________________________ Date: _____________
Part 1: Choreo Graph Your Own Scene
Story Description: Sketch and describe the beginning, middle, and end of your story. Add a description to explain what is visually occurring in your scene.
Beginning | Middle | End |
Description: | Description: | Description: |
Name: __________________________ Date: _____________
Part 1: Choreo Graph Your Own Scene
Math Behind the Story:For your moving objects, fill out the chart below describing the math behind their movement (break down movement into different actions or steps)
Moving Object #1: ______________________________
Description of movement in story: |
Action | Starting Point(x,y) | Move | Movement Details(angle measurements, amount moved, pivot point etc.) |
1 | ❏ Translation❏ Rotation | ||
2 | ❏ Translation❏ Rotation | ||
3 | ❏ Translation❏ Rotation | ||
4 | ❏ Translation ❏ Rotation | ||
5 | ❏ Translation ❏ Rotation | ||
6 | ❏ Translation ❏ Rotation | ||
7 | ❏ Translation ❏ Rotation | ||
8 | ❏ Translation ❏ Rotation |
Final Coordinates = ______________________
Name: __________________________ Date: _____________
Part 1: Choreo Graph Your Own Scene
Moving Object #2: ______________________________
Description of movement in story: |
Action | Starting Point(x,y) | Move | Movement Details(angle measurements, amount moved, pivot point etc.) |
1 | ❏ Translation❏ Rotation | ||
2 | ❏ Translation❏ Rotation | ||
3 | ❏ Translation❏ Rotation | ||
4 | ❏ Translation❏ Rotation | ||
5 | ❏ Translation❏ Rotation | ||
6 | ❏ Translation❏ Rotation | ||
7 | ❏ Translation❏ Rotation | ||
8 | ❏ Translation❏ Rotation |
Final Coordinates = ______________________
Name: __________________________ Date: _____________
Part 2: Create an Alternative Story
Moving Object #1: ______________________________
Description of movement in story: |
Action | Starting Point(x,y) | Move | Movement Details(angle measurements, amount moved, pivot point etc.) |
1 | ❏ Translation❏ Rotation | ||
2 | ❏ Translation❏ Rotation | ||
3 | ❏ Translation❏ Rotation | ||
4 | ❏ Translation❏ Rotation | ||
5 | ❏ Translation❏ Rotation | ||
6 | ❏ Translation❏ Rotation | ||
7 | ❏ Translation❏ Rotation | ||
8 | ❏ Translation❏ Rotation |
Final Coordinates = ______________________
Name: __________________________ Date: _____________
Part 2: Create an Alternative Story
Moving Object #2: ______________________________
Description of movement in story: |
Action | Starting Point(x,y) | Move | Movement Details(angle measurements, amount moved, pivot point etc.) |
1 | ❏ Translation❏ Rotation | ||
2 | ❏ Translation❏ Rotation | ||
3 | ❏ Translation❏ Rotation | ||
4 | ❏ Translation❏ Rotation | ||
5 | ❏ Translation❏ Rotation | ||
6 | ❏ Translation❏ Rotation | ||
7 | ❏ Translation❏ Rotation | ||
8 | ❏ Translation❏ Rotation |
Final Coordinates = ______________________
Name: __________________________ Date: _____________
Part 2: Create an Alternative Story: Classmate’s Story
Moving Object #1: ______________________________
Description of movement in story: |
Action | Starting Point(x,y) | Move | Movement Details(angle measurements, amount moved, pivot point etc.) |
1 | ❏ Translation❏ Rotation | ||
2 | ❏ Translation❏ Rotation | ||
3 | ❏ Translation❏ Rotation | ||
4 | ❏ Translation❏ Rotation | ||
5 | ❏ Translation❏ Rotation | ||
6 | ❏ Translation❏ Rotation | ||
7 | ❏ Translation❏ Rotation | ||
8 | ❏ Translation❏ Rotation |
Final Coordinates = ______________________
Name: __________________________ Date: _____________
Part 2: Create an Alternative Story: Classmate’s Story
Moving Object #2: ______________________________
Description of movement in story: |
Action | Starting Point(x,y) | Move | Movement Details(angle measurements, amount moved, pivot point etc.) |
1 | ❏ Translation❏ Rotation | ||
2 | ❏ Translation❏ Rotation | ||
3 | ❏ Translation❏ Rotation | ||
4 | ❏ Translation❏ Rotation | ||
5 | ❏ Translation❏ Rotation | ||
6 | ❏ Translation❏ Rotation | ||
7 | ❏ Translation❏ Rotation | ||
8 | ❏ Translation❏ Rotation |
Final Coordinates = ______________________
Name: __________________________ Date: _____________
Part 1: Choreo Graph Your Own Scene &
Part 2: Create an Alternative Story
Begin by entering Make Some Moves. In Build mode, students will:
In Animate mode, students will use the:
Graph controllers:Choreo Graph uses key frames much like other movie editing software. At each point in the key frame, the student can set how each part of the animation rotates over time. Each node on the line graph below the stage 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. Students can also set the location of their animated parts by selecting the part they want to move, choosing a node on the line graph (or moment in the animation), and then dragging the part to a new position on the stage. They can set the location of parts for the entire animation sequence by repeating this process.
Toggle on math tools to notice:
-Degrees each part has rotated
-Path the main parts moved
– Coordinates for location of each part