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Learning Goal
‹2 of 2 in this cluster
Apply the Binomial Theorem
Start lessonBegins with Binomial theorem · Slides
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.
HSA.APR.C.5
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What you'll learn
- Construct Pascal's Triangle and identify the binomial coefficients C(n, k) for any row n
- Expand (x + y)ⁿ for small positive integers n using Pascal's Triangle, correctly applying the pattern of decreasing x-exponents and increasing y-exponents
- Calculate binomial coefficients using the formula C(n, k) = n! / [k!(n-k)!] and connect these values to Pascal's Triangle entries
- Identify and write specific terms of a binomial expansion without expanding the entire expression
- Apply the Binomial Theorem to expressions like (a + b)⁵ or (2x - 3)⁴ involving non-unit coefficients
Review first:
Slides
Step through the lesson, or watch it as a narrated video
1
Binomial theorem
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