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Lesson Packs · Grade 12 · Mathematics

Lines and Planes in Space

Students write vector and parametric equations of lines in space, find the equation of a plane from a point and a normal vector or from three points, find where a line meets a plane, and calculate the distance from a point to a plane and the angle between two planes.

MathematicsGrade 12Unit 6 · Lesson 20G12-MAT-20
Slide 1
Lines and Planes in Space — Slide 1
+33in the download
38slides: lesson, examples and worksheet
11worksheet questions
32marks in total
3 + 4worksheet + answer key pages

Learning objectives

  • Write the vector and parametric equations of a line through a point with a given direction.
  • Find the equation ax + by + cz = d of a plane from a point and a normal vector, or from three points using the cross product.
  • Find where a line meets a plane, the distance from a point to a plane and the angle between two planes.

What's inside

  • 38 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (32 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 Unit 6

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).

Do downloads count toward my plan?

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