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Practical construction calculus

Version: September 2025

A suite of resources on practical construction calculus for the T Level in Design, Surveying and Planning

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Lesson 1

Using the mid-ordinate rule in construction

Lesson slide deck (.pptx, 2 mb) Video: Understanding embankments and their role in road construction Activity 2 worked example (.docx, 158 kb) Activity 2 worksheet (scaffolded) (.docx, 192 kb) Activity 2 worksheet (.docx, 158 kb) Activity 2 worksheet answers (.docx, 189 kb) Consolidation worksheet (.docx, 184 kb)

Lesson 2

Using the trapezoidal rule and Simpson’s rule in construction

Lesson slide deck (.pptx, 2 mb) Activity 1 worked example (.docx, 3 mb) Activity 1 worksheet (scaffolded) (.docx, 3 mb) Activity 1 worksheet (.docx, 3 mb) Activity 1 worksheet answers (.docx, 3 mb) Activity 2 worked example (.docx, 3 mb) Activity 2 worksheet (.docx, 3 mb) Activity 2 worksheet answers (.docx, 4 mb) Consolidation worksheet (.docx, 236 kb) Consolidation answers 1 (.docx, 65 kb) Consolidation answers 2 (.docx, 3 mb)

Lesson 3

Using differentiation in construction

Lesson slide deck (.pptx, 1 mb) Activity 1 worked example (.docx, 4 mb) Activity 1 worksheet (.docx, 3 mb) Activity 2 worked example (.docx, 3 mb) Activity 2 worksheet (scaffolded) (.docx, 3 mb) Activity 2 worksheet (.docx, 66 kb) Consolidation worksheet 1 (.docx, 2 mb) Consolidation worksheet 2 (.docx, 3 mb) Consolidation 2 answers (.docx, 3 mb)

Lesson 4

Using integration in construction

Lesson slide deck (.pptx, 1 mb) Video: Use of calculus in the construction industry Activity 1 worked example (.docx, 3 mb) Activity 1 worksheet (scaffolded) (.docx, 3 mb) Activity 1 worksheet (.docx, 3 mb) Activity 1 worksheet answers (.docx, 3 mb) Activity 2 worksheet (.docx, 2 mb) Consolidation worksheet (.docx, 3 mb) Consolidation answers (.docx, 3 mb)