Skip to main content
Lesson Packs · Grade 12 · Mathematics

Mathematical Induction

Students learn why checking cases is not a proof, and use mathematical induction — a base case, an inductive hypothesis and an inductive step — to prove formulas for sums, divisibility results and inequalities for all positive integers.

Unit 9 · Lesson 28 · Sequences, Series and Proof

Preview

Mathematical Induction — Slide 1
  • Mathematical Induction — Slide 4
    Slide 4
  • Mathematical Induction — Slide 7
    Slide 7
  • Mathematical Induction — Slide 15
    Slide 15
  • Mathematical Induction — Slide 16
    Slide 16
  • Mathematical Induction — Worksheet, page 1
    Worksheet, page 1
  • Mathematical Induction — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Explain the principle of mathematical induction and why both the base case and the inductive step are needed.
  • Prove formulas for sums and results about divisibility by induction.
  • Prove inequalities by induction, starting from a given integer.

What's inside

  • 36 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (33 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

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).

Do downloads count toward my plan?

Yes. Sign in with your free KiwiBee account to download. Each download counts toward your plan's daily and monthly download limit, the same as worksheets.