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Lesson Packs · Grade 12 · Mathematics

The Normal Distribution

Students describe the properties of the normal curve, use the 68–95–99.7 rule, standardise values with z-scores, find normal probabilities with a calculator or a z-table, and solve inverse problems that find a value from a given probability.

Unit 7 · Lesson 23 · Probability and Statistics

Preview

The Normal Distribution — Slide 1
  • The Normal Distribution — Slide 4
    Slide 4
  • The Normal Distribution — Slide 9
    Slide 9
  • The Normal Distribution — Slide 17
    Slide 17
  • The Normal Distribution — Slide 18
    Slide 18
  • The Normal Distribution — Worksheet, page 1
    Worksheet, page 1
  • The Normal Distribution — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Describe the properties of a normal distribution and use the 68–95–99.7 rule to estimate probabilities.
  • Standardise values with z = (x − μ)/σ and find normal probabilities with a calculator or a z-table.
  • Solve inverse problems that find the value of x for a given probability.

What's inside

  • 38 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (31 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).

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