Calculus · Week 2 · Limits and Continuity
Getting Closer: Limits from Graphs and Tables
Reading limits and one sided limits from tables and graphs, with a pause and check plan.
- Students will
- Students estimate limits and one sided limits from tables and decide whether a two sided limit exists.
- SEL skill
- Use a pause plan to check both sides before writing a limit
- What it looks like
- Students practice self-management by pausing to check both sides of a value before writing a limit.
- Content focus
- Limits and one sided limits from tables and graphs
- Format
- Partner exchange
Self-management
Self-management means steering your own actions and feelings, like slowing down on purpose when you feel the urge to rush a limit. More self-management 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 1.2: AP Calculus AB, Unit 1, Topic 1.2
- AB 1.3: AP Calculus AB, Unit 1, Topic 1.3
- AB 1.4: AP Calculus AB, Unit 1, Topic 1.4
- Standard for Mathematical Practice: MP6 Attend to precision
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Calculus
More self-management activities for Calculus
- Power Rule and Friends Self-managementFast derivative rules, with a pause and check routine that catches careless slips.
- The Chain Rule Self-managementTaking derivatives of functions inside functions, one layer at a time, without skipping steps.
- L'Hospital's Rule Self-managementPausing to check the form, then persisting when a limit first gives 0/0.
- From Riemann Sums to the Definite Integral Self-managementWriting Riemann sums in summation notation, seeing the definite integral as a limit, and staying steady with new notation.
Previous: What Changes, and How Fast? · Next: Limits with Algebra
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