Graphing Sine and Cosine
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can graph sine and cosine functions and identify their key features.
Part 1 of 4
Warm-up video
Khan Academy · 4:58Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The midline of a periodic function is a horizontal line where half of the function is above it and half is below it.
- 2
The amplitude of a periodic function is how far the function varies from the midline, either above or below.
- 3
The period of a periodic function is the change in x needed to complete one cycle, returning to the same point and slope.
Part 3 of 4
Practice
10 questions
What is the definition of the midline of a periodic function?
Explain how to calculate the midline of a periodic function if you know its maximum and minimum y-values.
Part 4 of 4
Exit ticket
Quick comprehension check
“Consider a periodic function graphed on a coordinate plane. The maximum y-value of the function is 5, and the minimum y-value is -1. The function completes one full cycle between x = 0 and x = 4. What are the midline, amplitude, and period of this function?”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson
