Calculus · Week 15 · Contextual Applications of Differentiation

Related Rates

Linking rates of change through 1 equation, as a team.

Relationship skillsGrades 11 to 12About 20 minutesAP Calculus AB

Open this activity All Calculus activities

Students will: Students solve 2 related rates problems by writing an equation, differentiating with respect to time, and stating the answer with units.
SEL skill: Take a group role and ask a teammate to explain a step before moving on
What it looks like: Students practice relationship skills by taking a group role and asking a teammate to explain a step.
Content focus: Solving related rates problems
Format: Small group problem-solving

Relationship skills

Relationship skills mean building and keeping good working connections with others, like sharing jobs in a group and asking a teammate to explain a related rates step. 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 4.4: AP Calculus AB, Unit 4, Topic 4.4
AB 4.5: AP Calculus AB, Unit 4, Topic 4.5
Standard for Mathematical Practice: MP1 Make sense of problems and persevere in solving them
CA Mathematics Framework (2023): Exploring Changing Quantities
Traditional course: Calculus

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Product and Quotient Rules Relationship skillsProduct and quotient rules in a group with clear roles and kind, specific feedback.
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.
u-Substitution Relationship skillsu-substitution as a team, where each role speaks up clearly and passes the work on.

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