Unit route
Study lessons in order, complete the pathway selected by diagnostic evidence, conduct the investigation, then demonstrate mastery. Reassessment follows correction and reflection.
Weeks 35, 36 · 6 detailed lessons
Applications of Integration & Calculus Capstone
How can derivatives, integrals, and differential equations support a defensible analysis of a complex problem?
Pathways
Lesson 01 · Week 35
Area Between Curves
Integral applications begin with geometry and slicing. The variable of integration determines slice orientation; every area or volume element must be expressed consistently in that variable.…
Lesson 02 · Week 35Volumes with Known Cross Sections
Integral applications begin with geometry and slicing. The variable of integration determines slice orientation; every area or volume element must be expressed consistently in that variable.…
Lesson 03 · Week 35Disk and Washer Methods
Integral applications begin with geometry and slicing. The variable of integration determines slice orientation; every area or volume element must be expressed consistently in that variable.…
Lesson 04 · Week 36Average Value of a Function
Integral applications begin with geometry and slicing. The variable of integration determines slice orientation; every area or volume element must be expressed consistently in that variable.…
Lesson 05 · Week 36Calculus Modelling Capstone: Build and Validate
A calculus capstone integrates a question, data or constraints, a defensible model, derivative or integral analysis, validation, limitations, and communication. Revision should respond to ev…
Lesson 06 · Week 36Oral Defense, Revision & Comprehensive Synthesis
A calculus capstone integrates a question, data or constraints, a defensible model, derivative or integral analysis, validation, limitations, and communication. Revision should respond to ev…