Calculus · Week 4 · Limits and Continuity
Squeeze and Infinity
The squeeze theorem, infinite limits, and limits at infinity, comparing a classmate's method with your own.
- Students will
- Students use the squeeze theorem, find infinite limits, and find limits at infinity, then name the matching asymptotes.
- SEL skill
- Explain a classmate's limit method in your own words before comparing it with yours
- What it looks like
- Students practice social awareness by explaining a classmate's method in their own words before comparing it with their own.
- Content focus
- Squeeze theorem and limits involving infinity
- Format
- Structured discussion
Social awareness
Social awareness means understanding how others see things, like following a classmate's method well enough to explain it. More social awareness activities
What you get
A teacher guide with what to say, step by step, plus student pages and a supports page for students with diverse learning needs, including those with IEPs. Print or Project it, or assign it in Google Forms and Google Docs for Google Classroom. Your first 10 activities are free.
Standards
- AB 1.8: AP Calculus AB, Unit 1, Topic 1.8
- AB 1.14: AP Calculus AB, Unit 1, Topic 1.14
- AB 1.15: AP Calculus AB, Unit 1, Topic 1.15
- Standard for Mathematical Practice: MP7 Look for and make use of structure
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Calculus
More social awareness activities for Calculus
- Smooth or Sharp? Differentiability Social awarenessEstimating derivatives and seeing where a graph is smooth, cornered, or too steep, by looking from both sides.
- Motion: Position, Velocity, Acceleration Social awarenessReading the signs of velocity and acceleration to tell a motion story.
- Concavity and the Second Derivative Social awarenessConcavity, points of inflection, and seeing a classmate's method as another valid view.
- The Fundamental Theorem of Calculus Social awarenessThe Fundamental Theorem links derivatives and integrals; seeing a classmate's reasoning from their side.
Previous: Limits with Algebra · Next: Continuity and the Intermediate Value Theorem
RoseThread Connect activities are drafted with the help of AI and shaped by educators. Students never have to share anything personal. Our five SEL skills are informed by CASEL's SEL Framework; RoseThread Learning is not affiliated with or endorsed by CASEL. AP and Advanced Placement are trademarks of the College Board, which was not involved in making and does not endorse RoseThread Connect.