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Lesson Packs · Grade 12 · Mathematics

Area Between Curves

Students find the area between a curve and the x-axis, including regions below the axis, by splitting at the roots and using absolute values. They then find the area between two curves by locating the intersection points and integrating top minus bottom.

MathematicsGrade 12Unit 4 · Lesson 16G12-MAT-16
Slide 1
Area Between Curves — Slide 1
+33in the download
38slides: lesson, examples and worksheet
11worksheet questions
33marks in total
4 + 5worksheet + answer key pages

Learning objectives

  • Find the area between a curve and the x-axis, including regions below the axis, by splitting the integral at the roots.
  • Find the intersection points of two curves and use them as the limits of integration.
  • Calculate the area between two curves by integrating the top curve minus the bottom curve.

What's inside

  • 38 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (33 marks) with step-by-step solutions
  • Printable worksheet (4 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in Unit 4

All Grade 12 Mathematics lessons

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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