Calculus · Week 33 · Applications of Integration
Area Between Curves
Area between curves is the integral of top minus bottom, or right minus left, and a group that checks each step together catches the sign errors.
- Students will
- Students find areas between curves with respect to x and y, including curves that cross, by sketching, finding intersections, and integrating.
- SEL skill
- Lead one step out loud and invite a groupmate to check it
- What it looks like
- Students practice relationship skills by leading one step for their group and asking a groupmate to check it before moving on.
- Content focus
- Area between curves with respect to x and y
- Format
- Small group problem-solving
Relationship skills
Relationship skills mean working well with others, like leading a step out loud and asking a teammate to check it kindly. 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 8.4: AP Calculus AB, Unit 8, Topic 8.4
- AB 8.5: AP Calculus AB, Unit 8, Topic 8.5
- AB 8.6: AP Calculus AB, Unit 8, Topic 8.6
- Standard for Mathematical Practice: MP3 Construct viable arguments and critique the reasoning of others
- 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.
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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.