Calculus · Week 27 · Integration and Accumulation of Change
u-Substitution
u-substitution as a team, where each role speaks up clearly and passes the work on.
- Students will
- Students use u-substitution to find indefinite integrals and evaluate a definite integral by changing the limits of integration.
- SEL skill
- Explain a u-substitution step clearly and check that a teammate understood it
- What it looks like
- Students practice relationship skills by explaining their step clearly and handing it to the next group member.
- Content focus
- Integrating with u-substitution
- Format
- Group roles share
Relationship skills
Relationship skills mean working well with others, such as explaining your u-substitution step clearly so a teammate can build on it. More relationship skills 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 6.9: AP Calculus AB, Unit 6, Topic 6.9
- Standard for Mathematical Practice: MP7 Look for and make use of structure
- CA Mathematics Framework (2023): Taking Wholes Apart, Putting Parts Together
- Traditional course: Calculus
More relationship skills activities for Calculus
- Limits with Algebra Relationship skillsChoosing substitution, factoring, or rationalizing to find limits, with kind and specific partner feedback.
- Product and Quotient Rules Relationship skillsProduct and quotient rules in a group with clear roles and kind, specific feedback.
- Related Rates Relationship skillsLinking rates of change through 1 equation, as a team.
- Connecting f, f', and f'' Graphs Relationship skillsReading a graph of f' to tell what f and f'' are doing, and talking through disagreements kindly.
Previous: Antiderivatives and Indefinite Integrals · Next: Choosing an Integration Strategy
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.