Calculus · Week 28 · Integration and Accumulation of Change
Choosing an Integration Strategy
Choosing an integration technique on purpose, by looking at structure before acting.
- Students will
- Students choose and use a technique, such as splitting a fraction, long division, completing the square, or u-substitution, to find indefinite integrals.
- SEL skill
- Choose an integration technique and give a reason before integrating
- What it looks like
- Students practice responsible decision-making by choosing a technique and giving a reason before they integrate.
- Content focus
- Selecting techniques for antiderivatives
- Format
- Card talk
Responsible decision-making
Responsible decision-making means making careful choices based on evidence, such as choosing an integration technique for a clear reason. More responsible decision-making 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 6.10: AP Calculus AB, Unit 6, Topic 6.10
- AB 6.14: AP Calculus AB, Unit 6, Topic 6.14
- Standard for Mathematical Practice: MP5 Use appropriate tools strategically
- CA Mathematics Framework (2023): Taking Wholes Apart, Putting Parts Together
- Traditional course: Calculus
More responsible decision-making activities for Calculus
- Continuity and the Intermediate Value Theorem Responsible decision-makingChecking continuity, fixing removable discontinuities, and deciding when the Intermediate Value Theorem applies.
- Inverse Functions and Their Derivatives Responsible decision-makingChoosing between the inverse derivative rule and inverse trig formulas, and explaining the choice.
- Choosing the Right Rule Responsible decision-makingReading how a function is built before choosing a derivative rule.
- Close Enough? Local Linear Approximation Responsible decision-makingUsing a tangent line to estimate and deciding whether to trust it.
Previous: u-Substitution · Next: Slope Fields
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