Calculus · Week 26 · Integration and Accumulation of Change
Antiderivatives and Indefinite Integrals
Finding antiderivatives with a calm check step, so small slips get caught before they spread.
- Students will
- Students find indefinite integrals using basic antiderivative rules and check each answer by differentiating.
- SEL skill
- Pause and check each antiderivative by differentiating before moving on
- What it looks like
- Students practice self-management by pausing to check each antiderivative by differentiating before moving on.
- Content focus
- Basic antiderivatives and the constant of integration
- Format
- Partner exchange
Self-management
Self-management means controlling your actions to reach a goal, such as pausing to check an antiderivative instead of rushing ahead. 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 6.8: AP Calculus AB, Unit 6, Topic 6.8
- Standard for Mathematical Practice: MP6 Attend to precision
- CA Mathematics Framework (2023): Taking Wholes Apart, Putting Parts Together
- 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.
- L'Hospital's Rule Self-managementPausing to check the form, then persisting when a limit first gives 0/0.
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