Modelling with calculus

Starters

Click on the links above for starter activities, assignments, skill activities and web links related to this module.

We welcome feedback and contributions. If you have any comments, ideas or resources to offer please contact June Haighton.

Please note that resources added most recently are at the bottom of the page.

Area under a graph
Introduction to integration using area under velocity-time graphs. Powerpoint presentation, notes and exercises. Teacher notes included.

Powerpoint (application/vnd.ms-powerpoint, 175 KB) Notes and practice exercises (application/msword, 320 KB) (application/pdf, 103 KB)

Exponential Rates of Change
Introduction to differentiation of exponential functions. Students draw tangents to curves, then investigate gradient functions using a spreadsheet.

Student Information (application/msword, 1.0 MB) (application/pdf, 201 KB)
Teacher Notes (application/msword, 1.0 MB) (application/pdf, 42 KB)

Gradients
Powerpoint presentation introducing differentiation and a worksheet and Excel spreadsheet which students can use to calculate gradients from increments.

Student Information (application/msword, 228 KB) (application/pdf, 54 KB)
Spreadsheet (application/vnd.ms-excel, 16 KB) PowerPoint file (application/vnd.ms-powerpoint, 209 KB)