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NCTM Dynamic Angle Project
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1. Exploration of Angles
- Explore 1
- Explore 2
- Explore New 3
- Explore New 4
- Explore New 5
- Explore New 6
- Explore New 7
- Explore New 8
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2. Imagining Angles
- The Tower Bridge
- Windshield wipers
- Bike
- Seesaw
- Fan
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3. Comparing Angles
- Multiplicative 1.1
- Multiplicative 1.2
- Multiplicative 2
- Multiplicative 3
- Multiplicative 4
- Multiplicative 5
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4. Measuring Angles
- Numeric 1 (unlimited)
- Numeric 2 (360 degrees)
- Numeric 3 (split a circle)
- Numeric 4 (make your angle)
- Numeric 5 (make your angle)
- Numeric 6 (make your angle)
- Numeric 7 (How is this model different?)
- Numeric 8 (Make your angle)
- Numeric 9
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NCTM Dynamic Angle Project
Erell Germia, Apr 29, 2024

This module includes interactive tools for elementary students to explore and make mathematical meanings about dynamic angles. Dynamic angles integrates multiple natures of mathematics of angles such as its qualitative nature (an angle as a union of two rays), quantitative nature (an angle with measurable attribute illustrated by a wedge), and multiplicative nature (an angle as an iterative amount of rotation).
Table of Contents
- Exploration of Angles
- Explore 1
- Explore 2
- Explore New 3
- Explore New 4
- Explore New 5
- Explore New 6
- Explore New 7
- Explore New 8
- Imagining Angles
- The Tower Bridge
- Windshield wipers
- Bike
- Seesaw
- Fan
- Comparing Angles
- Multiplicative 1.1
- Multiplicative 1.2
- Multiplicative 2
- Multiplicative 3
- Multiplicative 4
- Multiplicative 5
- Measuring Angles
- Numeric 1 (unlimited)
- Numeric 2 (360 degrees)
- Numeric 3 (split a circle)
- Numeric 4 (make your angle)
- Numeric 5 (make your angle)
- Numeric 6 (make your angle)
- Numeric 7 (How is this model different?)
- Numeric 8 (Make your angle)
- Numeric 9
Explore 1
- What is an angle?
- Describe the shapes.
- Where are the angles in these shapes? Please trace them.


The Tower Bridge
1. Help the cruise ship cross the tower bridge. Drag the slider to open the leaves of the bridge.
2. How can you make the cruise ship cross the bridge?
3. How much turn do you have to make to lift the leaves of the bridge? Make an estimate first and check your answer.

Multiplicative 1.1
Explore the Ferris wheel.


Numeric 1 (unlimited)
- Drag the blue ray.
- What are you creating?
- How are you creating it?
- How many of these are there?


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