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Lesson Packs · Grade 12 · Mathematics

Limits of Functions

Students learn what the limit of a function means, estimate limits from tables and graphs, evaluate limits by substitution, factoring and rationalizing, and use one-sided limits to decide whether a limit exists.

MathematicsGrade 12Unit 1 · Lesson 1G12-MAT-01
Slide 1
Limits of Functions — Slide 1
+32in the download
37slides: lesson, examples and worksheet
10worksheet questions
31marks in total
4 + 3worksheet + answer key pages

Learning objectives

  • Explain what lim(x→a) f(x) = L means, using a table of values and a graph.
  • Evaluate limits by direct substitution, by factoring and by using the conjugate.
  • Find one-sided limits and decide whether a limit exists.

What's inside

  • 37 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (31 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 1

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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