Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
S 405. Exhibit knowledge of simple counting techniques
S 603. Apply counting techniques
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S 405. Exhibit knowledge of simple counting techniques
S 603. Apply counting techniques
What you'll learn
- Solve applied counting problems (committees, teams, selections, hands of cards) by deciding whether order matters and, for an unordered selection, counting with C(n,r)
- Determine whether a problem requires permutations or combinations by asking "does order matter?"
- Compute C(n,r) = n!/(r!(n-r)!) to count the ways to choose r items from n when order does not matter
- Explain why C(n,r) = P(n,r)/r!: each selection of r items appears r! times among the permutations, so combinations count fewer arrangements than permutations for the same n and r
Review first:
Slides
Step through the lesson, or watch it as a narrated video
1
Combinations
✓ Start herePractice
Try it on your own
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