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Master parabolas in vertex form y = a(x − h)² + k — finding the vertex and axis of symmetry, reading transformations, and converting from standard form — with worked SAT and ACT problems.
Divide polynomials with long division and synthetic division, and use the Remainder Theorem to find remainders fast — with worked SAT and ACT problems.
Simplify, multiply, add, and solve rational expressions and equations — by factoring, finding common denominators, and checking for extraneous solutions — with worked SAT and ACT problems.
Master scientific notation — writing very large and very small numbers as a × 10ⁿ, converting to and from standard form, and multiplying and dividing — for the SAT, ACT, and science.
Understand standard deviation as a measure of spread and the normal distribution's 68-95-99.7 rule — comparing data sets and finding percentages — with worked SAT and ACT problems.
Master geometric transformations on the coordinate plane — translations, reflections, and rotations — with the coordinate rules and worked SAT and ACT problems.
Learn the core trig identities — the Pythagorean identity, the quotient identity, and reciprocal identities — and use them to simplify and solve, for the ACT and Pre-Calculus.
Read two-way frequency tables and compute probabilities, including conditional probability, by restricting to the right row or column — with worked SAT and ACT problems.
Understand the unit circle, radian measure, and how (cos θ, sin θ) defines coordinates around the circle — converting between degrees and radians — with worked SAT and ACT problems.
