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Lesson Packs · Grade 12 · Mathematics

The Binomial Theorem

Students build Pascal's triangle, calculate binomial coefficients C(n, r), expand (a + b)ⁿ with the binomial theorem, use the general term to find a specific coefficient or term, and make quick numerical approximations.

Unit 9 · Lesson 27 · Sequences, Series and Proof

Preview

The Binomial Theorem — Slide 1
  • The Binomial Theorem — Slide 4
    Slide 4
  • The Binomial Theorem — Slide 9
    Slide 9
  • The Binomial Theorem — Slide 16
    Slide 16
  • The Binomial Theorem — Slide 17
    Slide 17
  • The Binomial Theorem — Worksheet, page 1
    Worksheet, page 1
  • The Binomial Theorem — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Use Pascal's triangle and C(n, r) = (n!)/(r!(n − r)!) to find binomial coefficients.
  • Expand (a + b)ⁿ with the binomial theorem, including brackets with coefficients and negative terms.
  • Use the general term to find a specific coefficient or term, and use the first few terms to approximate powers.

What's inside

  • 39 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 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.