Calculus · Week 14 · Contextual Applications of Differentiation
Motion: Position, Velocity, Acceleration
Reading the signs of velocity and acceleration to tell a motion story.
- Students will
- Students find velocity and acceleration from a position function and decide if a particle is speeding up or slowing down at 4 times.
- SEL skill
- Describe motion from another point of view and restate a partner's reading of the data
- What it looks like
- Students practice social awareness by describing the motion from the view of a rider and by restating how a partner read the signs.
- Content focus
- Velocity, acceleration, and speeding up or slowing down
- Format
- Data talk
Social awareness
Social awareness means understanding how a situation looks and feels from someone else's point of view, like picturing a rider on the particle or hearing how a partner read the signs. More social awareness 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 4.1: AP Calculus AB, Unit 4, Topic 4.1
- AB 4.2: AP Calculus AB, Unit 4, Topic 4.2
- Standard for Mathematical Practice: MP4 Model with mathematics
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Calculus
More social awareness activities for Calculus
- Squeeze and Infinity Social awarenessThe squeeze theorem, infinite limits, and limits at infinity, comparing a classmate's method with your own.
- Smooth or Sharp? Differentiability Social awarenessEstimating derivatives and seeing where a graph is smooth, cornered, or too steep, by looking from both sides.
- Concavity and the Second Derivative Social awarenessConcavity, points of inflection, and seeing a classmate's method as another valid view.
- The Fundamental Theorem of Calculus Social awarenessThe Fundamental Theorem links derivatives and integrals; seeing a classmate's reasoning from their side.
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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.