Radians Lab

Janet Bowers, Mar 18, 2021

Series of activities to help students define a radian.

Table of Contents

  1. Overview
    1. Goals of the course
    2. Questions 1-3
  2. What is a radian?
    1. Simulation
    2. Measuring arc length
  3. Sin tracer
    1. arc length along x-axis
    2. sin tracer
  4. Reflection questions
    1. take away

1.

Overview

  • 1. Goals of the course
  • 2. Questions 1-3

1.1.

Goals of the course

– Janet Bowers

1.2.

–

2.

What is a radian?

  • 1. Simulation
  • 2. Measuring arc length

2.1.

Simulation

Use the slider to start the animation. What do you think the point of this animation is?
What does the animation attempt to show in terms of the relation between a radian and a radius?
– Janet Bowers

2.2.

–

3.

Sin tracer

  • 1. arc length along x-axis
  • 2. sin tracer

3.1.

arc length along x-axis

Move the green point to form a central angle of 1 radian. Given that the radius = 4 ft, what is the length of segment p in feet?
Move the green point to form a central angle of 2 radians. What is the length of segment p?
Move the green point to form a central angle [math]\pi[/math] radians. What is the length of segment p?
Move the green point to form a central angle 5 radians. What is the length of segment p?
– Janet Bowers

3.2.

–

4.

Reflection questions

  • 1. take away

4.1.

take away

What is one new insight you have formed after working with this lab?
– Janet Bowers

Information