July 16th, 2015

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.

### Choreo Graph Activity 5: Choreo Graph Your Own Scene

Angles of Rotation, Translations, and Coordinate Grids

### Expected Activity Time

Part 1: Choreograph Your Own Scene (40 minutes)

Part 2: Create An Alternative Story (20-40 minutes)

Materials and Prep

• Choreo Graph Your Scene Student Sheets
• Wifi access for sharing to other iPads or the online project space
• Graph Paper
• Pre-requisites>: introduction to angle measurement, rotation, pivot point, and translations.

### Introducing the Activity

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.

### To Do

Part 1: Choreo Graph Your Own Scene (40 minutes)

Have students:

• Create their own stories. Use Choreo Graph to take pictures of objects, people, drawings, or still photos to use as landmarks and characters in their scene.
• Trace around props and characters and set them up in scenes on Choreo Graph stage.
• Using translation and the graph controller, deliberately “program” their main character(s) to move throughout the scene in a way that tells a story.
• Examine the math behind the scenes and fill in the provided chart

Part 2: Create an Alternative Story (20-40 minutes)

Have students:

• Find alternate paths or routes in their stories, and fill in the chart with the data for the new routes. How do the routes compare?
• Reset the scenes once again and pass the story to a friend to find a new route. Fill in the chart with the other student’s data.
• How do the two compare? Are they mathematically similar?

### Discussion

While students are creating and sharing their story scenes, listen and look for:

• Mention of coordinates in describing how their main characters move
• “I had to rotate it – ___ degrees or +___ degrees to get the movement I wanted”
• How they move something on the stage by attending to each node on the graph.

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.

• First, create your story with landmarks (e.g., racetrack, outer space, or a dollhouse, treasure map, or anything!)
• You can draw the landmarks, find pictures on the Internet, use real objects, or snap photos in Choreo Graph. Trace around your landmarks and set up your scene on the Choreo Graph stage.
• Program one or two moving objects that will navigate your scene. Examine the math behind the path your objects take. What rotations did you use? What translations? (Fill in the chart provided.)

Story Scene: Select/create the scene for your story.

• Racetrack
• Town Map
• Outer space
• Dollhouse
• Treasure map
• Other (Create your own): _______________________________________

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

• Create alternate routes for the moving objects, and fill in the chart with the data for the new routes.
• Reset your scene and pass your story to a friend and let them find their own new route. Fill in the chart with your friend’s data.

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

### Reflection Questions:

1. What are some similarities and differences between your original route and your alternative route?

1. How do the routes compare mathematically?

1. How does your route compare to your classmates’ routes in your story? How do the different routes affect the story you wanted to tell?

### App Features

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 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

Apps used
Duration: 0-20 mins
Prep: Easy

#### Big Idea

Students will use what they have learned about translations and rotations and apply it to animating a scene. Having students create “paths” above, below, or around objects of their own design, using translation and rotation tools to achieve their goal. In the process, students learn how distances between coordinates affect the speed at which their main character can go.

#### Learning Objectives

Students will:

• Apply rotation, angle measurement, and translation to create a unique animated story with a moving object.
• Develop several solutions to the given problem or mission in their created story.
• Analyze the different paths they developed for their story, comparing similarities and differences.

Common Core State Standards-Math

Geometry

8. Understand congruence and similarity using physical models, transparencies, or geometry software.

8.G.A.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

8.G.A.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Common Core State Standards-Math

Mathematical practices.

MP2: Reason abstractly and quantitatively.

Students create a dance visually and then have to determine the quantitative moves before making it virtual.

MP4: Model with mathematics.

Students outline their dance using the angles of rotation and the coordinate notation for the translation.

#### Vocabulary

• Coordinate plane
• Angle of rotation
• Translation
• Coordinate notation

#### Device Strategies

Single-device implementation

Create a scene in which an object can go around a path or obstacle course. Have students predict what coordinates and angles of rotation will be needed to get successfully around the path. After students record their predictions, play the animation to see what it actually does. Now have students think about altering the route one might take by offering different coordinates and rotations.

Multiple-device implementation

This is a great activity for groups of 2 or more per iPad. Have students work together to brainstorm their scene and what they want to happen in it.

#### Tips & Ideas

Encourage students to begin by brainstorming the settings in which their main characters or object will act or travel (e.g., underwater, on a racetrack, etc.) To create the setting, have students take pictures of objects, photos, or drawings to serve as props for their stories. This encourages students to think more about how they might “translate” through a space. For example, if my setting is a fish tank, how do I get a smooth movement around coral?