Lesson Plan

# Getting to know Periodic Wave Functions

Students investigate periodic wave functions and their defining characteristics.
Philip K.
Classroom teacher
The Academy of Science and Entrepreneurship
Bloomington, United States
My Grades 9, 10, 11, 12
My Subjects Math
Objectives

Students will be able to describe the amplitude, period and frequency of wave functions and will be able to create a specific wave using transformations of the sine function.

Subjects
Math

#### 1 Introduction/Hook

Activity: Exploring

http://earthguide.ucsd.edu/eoc/special_topics/teach/sp_climate_change/p_emspectrum_interactive.html

Allow students to explore the interactive applet, considering all of the different roles waves play in our lives.

Briefly share out and discuss any "aha" moments or significant takeaways the students had.

Finally, ask students what questions this raised for them.  Ideally students will wonder about what makes the waves different, and what some of the defining characteristics are.

#### 2 Instruction with embedded guided practice.

Nearpod
Free, Paid

Use a nearpod presentation to define the key characteristics of a wave function including amplitude, period and frequency.  Students learn to calculate these based on a given graph, and then connect these attributes with the sine equation and algebraic transformations.

#### 3 Continued Exploration and Practice.

Students use their new knowledge to create graphs with specified attributes by inputing the equation into desmos.

This could be done by putting a few graphs on the board for them to create, or by creating "cards" with the graph and its attributes.  Students create the graph on their card, and then trade with a classmate to try another example.

#### 4 Exit Ticket

Socrative
Free, Paid

Students complete a brief exit ticket on socrative answering questions related to the key aspects of the lesson in order to assess their learning.