ALEX Lesson Plans
Subject: Mathematics (9 - 12)
Title: "Woody Sine"
Description: The students will discover the shape of the sine function without creating a t-chart. The students will create a sine function using toothpicks. The students will then discover how the amplitude (height) and the period (number of compete waves) change when the basic graph created from the broken tooth picks was changed. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
Title: Hearing Music, Seeing Waves
Description: This reproducible pre-activity sheet, from an Illuminations lesson, presents summary questions about the mathematics of music, specifically focused on sine waves and the geometric sequences of notes that are an octave apart.
Thinkfinity Partner: Illuminations
Grade Span: 9,10,11,12
Rolling Into Radians
Student groups collect height versus distance data for rolling objects of different sizes. Each group produces two sinusoidal graphs of the data, one in which both axes are measured in units, and the other in which both axes are re-scaled and free of units. Students note that the amplitude and period of the unit-free graph are the same for all groups, and then discuss how their measurement opens a different way of describing points on a unit circle.
Interactive Unit Circle
This is an interactive model of the Unit Circle. Features include a moveable slider to change the values of central angles in radian measure.