Support · Mathematics Extension 1 11–12 – Year 11 · The binomial theorem
Support Use patterns and symmetry in Pascal’s triangle to confirm the identities ⁿC_r = ^(n - 1)C_r - 1 + ^(n - 1)C_r for 1 ≤ r ≤ n - 1 and ⁿC_r = ⁿC_n - r for 0 ≤ r ≤ n
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
This dot point has no earlier-stage prerequisite in the syllabus structure (it may be the first in its strand).