Nolan Math 30-1 - Jenna

Proving trigonometric identities (e.g., (1+cosθ)/(sinθ) = cscθ + cotθ) is the single most failed section of the diploma. Nolan teaches the "Safe Harbor" method: convert everything on both sides to sine and cosine first, then look for a common denominator. This brute-force method may not be elegant, but on a timed exam, it guarantees marks.

This unit is often a breath of fresh air after Trig, but it requires strict algebra discipline.

Key Concepts:

  • Solving Equations:
  • Mrs. Nolan’s "Gotcha": Domain restrictions!
  • If you read through the five-star reviews on Google or Yelp, three distinct patterns emerge regarding her teaching methodology for Math 30-1. jenna nolan math 30-1

    Why do students who use Nolan’s resources routinely score in the 85-100% range? Let’s look at the four core pillars of her teaching philosophy.

    This unit sets the stage. If you struggle here, the rest of the year is difficult.

    Key Concepts:

  • Inverse Functions: $f^-1(x)$. Remember: switch $x$ and $y$, then solve for $y$.
  • Stretches vs. Compressions: A vertical stretch by a factor of 2 is different from a horizontal compression by a factor of $1/2$. They look the same on a graph, but the mapping rule is different.
  • The "Trap": Students often mix up horizontal stretches.

    The final unit. It feels different—more like puzzles than math.

    Key Concepts:

  • Binomial Theorem: Expanding $(x+y)^n$ using Pascal's Triangle.

  • While every teacher follows the Alberta Program of Studies, Mrs. Nolan (like all veteran teachers) has a specific style.


    Standard tutoring corrects the problem and moves on. Nolan’s method involves the "Error Log." Every time a student misses a question, they don't just fix it; they categorize why:

    By tracking patterns, her students stop making the same mistake twice. Proving trigonometric identities (e