Calculus · Week 17 · Contextual Applications of Differentiation
L'Hospital's Rule
Pausing to check the form, then persisting when a limit first gives 0/0.
- Students will
- Students check the form of 4 limits, use L'Hospital's Rule when the form is 0/0 or infinity over infinity, and find each limit.
- SEL skill
- Pause to check the form before acting, and keep going when a limit is still indeterminate
- What it looks like
- Students practice self-management by pausing to check the form before acting and by keeping going when a limit is still 0/0.
- Content focus
- Indeterminate forms and L'Hospital's Rule
- Format
- Partner exchange
Self-management
Self-management means handling your reactions and staying on track, like pausing to check a limit's form instead of rushing and keeping going when the answer is still 0/0. 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 4.7: AP Calculus AB, Unit 4, Topic 4.7
- Standard for Mathematical Practice: MP1 Make sense of problems and persevere in solving them
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Calculus
More self-management activities for Calculus
- Getting Closer: Limits from Graphs and Tables Self-managementReading limits and one sided limits from tables and graphs, with a pause and check plan.
- 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.
- 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.
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