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Pre-Calculus · 개념 레슨

Pre-Calculus을(를) 기초부터 마스터하기

Functions, trigonometry, sequences, conic sections, and analytic geometry — the bridge between Algebra 2 and Calculus. Covers TEKS §111.42.

1

함수: 정의역, 치역, 그리고 실제로 필요한 표기법

Master the language of functions — what domain and range really mean, how to read function notation, and why piecewise functions trip students up.

7 분 TEKS 2A-2J 3
2

함수 변환: 평행이동, 확대·축소, 반사

The four basic transformations of a function — how to spot them from an equation and predict the new graph in seconds.

6 분 TEKS 2A-2J 3
3

다항함수: 영점, 중복도, 말단 거동

Why some zeros "bounce" off the x-axis while others cross — and how the leading term decides what happens far from zero.

7 분 TEKS 3A-3D 6
4

유리함수: 점근선, 구멍, 그리고 각각에서 해야 할 일

Vertical asymptote vs. hole — the cancellation rule that decides which. Plus horizontal and slant asymptote shortcuts.

7 분 TEKS 3A-3D 6
5

지수와 로그 함수: 세상을 움직이는 역함수 쌍

Why exp and log are inverses, the three log rules that solve everything, and the domain trap that sinks log equations.

8 분 TEKS 3E-3I 7
6

단위원: 반드시 외워야 하는 특수각

The unit circle is the source of all trigonometry. Master these five special angles and signs by quadrant — everything else builds from here.

8 분 TEKS 4A-4G 4
7

삼각 항등식과 방정식: 모든 것을 푸는 6가지

Pythagorean, double-angle, and half-angle identities — when to apply each and how to find all solutions in [0, 2π].

8 분 TEKS 4H-4K 6
8

수열과 급수: 등차, 등비, 시그마

The four formulas that handle every Pre-Calc sequence question — plus the convergence rule that decides whether an infinite sum exists.

7 분 TEKS 5A-5C 6
9

원뿔곡선: 원, 타원, 포물선, 쌍곡선

The four conics and how their standard forms reveal vertices, foci, and asymptotes at a glance.

8 분 TEKS 5D-5I 6
10

벡터와 극좌표: 점을 표현하는 두 가지 방법

Vector operations, dot products, and how polar coordinates convert to rectangular — the building blocks of physics and engineering math.

7 분 TEKS 5D-5I 6