Your privacy choices

KiwiBee uses optional Google Analytics, Google Ads, and Meta Pixel cookies to understand adult visitors, measure completed sign-ups, and improve campaigns. Essential cookies always stay on. OpenAI’s ChatGPT Ads Pixel also measures page views and completed enquiries after advertising consent, and may use hashed contact details for matching. Privacy policy

Skip to main content
Lesson Packs · Grade 12 · Mathematics

Optimization Problems

Students solve optimization problems with derivatives: they define variables, use a constraint to write a one-variable objective function with a realistic domain, find its critical points, and justify the maximum or minimum with the second derivative or the endpoints.

MathematicsGrade 12Unit 3 · Lesson 11G12-MAT-11
Slide 1
Optimization Problems — Slide 1
+35in the download
40slides: lesson, examples and worksheet
10worksheet questions
34marks in total
4 + 4worksheet + answer key pages

Learning objectives

  • Translate a word problem into an objective function of one variable, using a constraint and a realistic domain.
  • Use derivatives to find the maximum or minimum value of the objective function.
  • Justify an optimum with the second derivative test or by checking the endpoints, and interpret it in context.

What's inside

  • 40 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (34 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 3

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?

Yes. Sign in with your free KiwiBee account to download. A whole lesson pack counts as one download toward your plan's daily and monthly download limit, the same as a single worksheet.

Likes & comments

See what other teachers think and share a helpful note.

Loading likes and comments…