Calculus · Week 29 · Differential Equations
Slope Fields
Reading slope fields and comparing a first guess with what the slopes show.
- Students will
- Students write a differential equation from words, verify a solution, and compute slopes to sketch a slope field.
- SEL skill
- Rate confidence in a prediction and compare it to the slope data
- What it looks like
- Students practice self-awareness by rating their confidence in a prediction and comparing it to the slope data.
- Content focus
- Differential equations and slope fields
- Format
- Data talk
Self-awareness
Self-awareness means noticing your own thoughts and feelings, such as how sure you feel about a slope field prediction before you check it. More self-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 7.1: AP Calculus AB, Unit 7, Topic 7.1
- AB 7.2: AP Calculus AB, Unit 7, Topic 7.2
- AB 7.3: AP Calculus AB, Unit 7, Topic 7.3
- Standard for Mathematical Practice: MP4 Model with mathematics
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Calculus
More self-awareness activities for Calculus
- What Changes, and How Fast? Self-awarenessAverage rate of change on smaller and smaller intervals, and noticing how confident each step feels.
- The Derivative as a Limit Self-awarenessFrom average to instantaneous rate of change, finding the derivative as a limit and noticing which steps feel strong.
- Implicit Differentiation Self-awarenessFinding slopes on curves like circles, and noticing where my own mistakes tend to happen.
- The Mean Value Theorem Self-awarenessChecking conditions before claiming a theorem applies, and knowing how sure you are.
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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.