Getting to know Periodic Wave Functions
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.
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
Students complete a brief exit ticket on socrative answering questions related to the key aspects of the lesson in order to assess their learning.
Key Standards Supported
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.★
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.★