Integrating Square Roots
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 integrate square root functions by applying substitution techniques.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel 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 3
Practice
7 questions
Explain the process of substitution in integration, particularly when integrating square root functions. Provide an example.
Given the function f(x) = √(1 - x²), identify an appropriate substitution and calculate the integral ∫√(1 - x²) dx.
Part 3 of 3
Exit ticket
Quick comprehension check
“Given the function f(x) = √(4 - x²), identify an appropriate substitution and calculate the integral ∫√(4 - x²) dx. For the function g(x) = √(9 - x²), determine a suitable substitution and evaluate the integral ∫√(9 - x²) dx. ”
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
