Calculus · Week 30 · Differential Equations
Separation of Variables
Separating variables to find particular solutions while noticing how a partner sees the same problem.
- Students will
- Students separate variables, integrate both sides, and use an initial condition to find particular solutions of differential equations.
- SEL skill
- Notice when a partner is unsure and ask what they see before helping
- What it looks like
- Students practice social awareness by noticing where a partner is unsure and asking what they see in a step.
- Content focus
- Separating variables to find particular solutions
- Format
- Partner exchange
Social awareness
Social awareness means noticing and understanding what others feel and think, such as seeing when a partner is unsure about separating variables. 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 7.6: AP Calculus AB, Unit 7, Topic 7.6
- AB 7.7: AP Calculus AB, Unit 7, Topic 7.7
- Standard for Mathematical Practice: MP6 Attend to precision
- 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.
- Motion: Position, Velocity, Acceleration Social awarenessReading the signs of velocity and acceleration to tell a motion story.
- Concavity and the Second Derivative Social awarenessConcavity, points of inflection, and seeing a classmate's method as another valid view.
Previous: Slope Fields · Next: Exponential Growth and Decay
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.