** 문제풀이 반의 진도는 개념반 (해당 페이지)의 진도를 따라가며 진행됩니다.
| 주차 | 회차 | 요일 | Topic | Sub-topic | 학습 내용 |
|---|---|---|---|---|---|
| 1 | 1 | 월 | Topic 1: Number and algebra | Sequences and Series | Arithmetic Sequences & Series |
| Geometric Sequences & Series | |||||
| nth Term | |||||
| Infinite Geometric Series | |||||
| Recursive | |||||
| Financial Sequence & Series | |||||
| 2 | 화 | Topic 1: Number and algebra | Binomial Theorem | Pascal's Triangle and nCr | |
| Binomial Coefficients | |||||
| Binomial Expansion of (a+b)ⁿ | |||||
| Binomial Expansion of rational or negative exponents | |||||
| 3 | 수 | Topic 1: Number and algebra | Intro to Proof | Simple Deductive Proof | |
| LHS to RHS proof | |||||
| Counterexample | |||||
| Exhaustion | |||||
| Contrapositive | |||||
| Contradiction | |||||
| 4 | 목 | Topic 1: Number and algebra | Proof by Induction | Induction with Series | |
| Induction with Sequence | |||||
| Induction with Divisibility | |||||
| Induction with Inequality | |||||
| 5 | 금 | Topic 2: Functions | Intro to Functions | Definition of Functions | |
| Domain and Range | |||||
| Key features of Graphs (max, min, intercepts, symmetry, vertex, zeroes, asymptotes) | |||||
| 2 | 6 | 월 | Topic 2: Functions | Quadratic Functions | Standard & Vertex & Factored form |
| Factoring | |||||
| Completing the square | |||||
| Quadratic formula | |||||
| Discriminant | |||||
| Sum and Product of roots | |||||
| Quadratic Inequalities | |||||
| 7 | 화 | Topic 2: Functions | Function Transformation | Translations | |
| Reflections | |||||
| Vertical and Horizontal Stretch | |||||
| Odd and Even Functions | |||||
| Composite Transformations | |||||
| 8 | 수 | Topic 2: Functions | Composite and Inverse Functions | Definition of Composite and Inverse Functions | |
| Domain and Range | |||||
| Finding and Graphing Inverse Functions | |||||
| One-to-one functions | |||||
| 9 | 목 | Topic 2: Functions | Polynomial Functions | Polynomial functions | |
| Zeros, roots, factors | |||||
| Factor Theorem | |||||
| Remainder Theorem | |||||
| 10 | 금 | Topic 2: Functions | Rational Functions | Reciprocal Function f(x)=1/x | |
| f(x)=(ax+b)/(cx+d) form and more | |||||
| Vertical and Horizontal Asymptotes | |||||
| Oblique Asymptotes | |||||
| Graphing Rational Functions | |||||
| Solving Rational Equations | |||||
| Partial Fraction | |||||
| 3 | 11 | 월 | Topic 2: Functions | Exponential and Logarithmic Functions | Definition of Exponent and Logarithm (inverse) |
| Law of Exponent and Logarithm | |||||
| Simplifying Expressions | |||||
| Change of base | |||||
| Solving Exponential and Logarithmic Equations | |||||
| Graphing Exponential & Logarithmic Functions | |||||
| Application on decay, growth, and finance | |||||
| 12 | 화 | Topic 3: Geometry and Trigonometry | Basic Geometry and Measurement | Distance | |
| Surface Area | |||||
| Volume | |||||
| Angle between 2 Lines or between a Line and a Plane | |||||
| 13 | 수 | Topic 3: Geometry and Trigonometry | Right-Angle Trigonometry | Trigonometric and Inverse | |
| Trigonometric ratios in Right Triangle | |||||
| Solving Right Triangles | |||||
| Angles of elevation and depression | |||||
| 14 | 목 | Topic 3: Geometry and Trigonometry | Non Right-Angle Trigonometry | Area of a Triangle | |
| Sine and Cosine Rule | |||||
| Bearings & Navigation | |||||
| 15 | 금 | Mock Test | |||
| 4 | 16 | 월 | Topic 3: Geometry and Trigonometry | Unit Circle and Radian Measure | Definition of Radian Measure of Angles |
| Arc Length and Sector Area | |||||
| Definition of sin, cos, and tan in Unit Circle | |||||
| Reference angles | |||||
| 17 | 화 | Topic 3: Geometry and Trigonometry | Trigonometric Functions and Graphs | Graphing Trigonometric an | |
| Inverse Trigonometric Function | |||||
| Transformation of Trigonometric Graphs | |||||
| Modeling: Ferris Wheel & Tide | |||||
| 18 | 수 | Topic 3: Geometry and Trigonometry | Trigonometric Identities | Pythagorean Identities | |
| Sum and Difference angle Identities | |||||
| Double angle Identities | |||||
| Proving Identities | |||||
| 19 | 목 | Topic 3: Geometry and Trigonometry | Trigonometric Equations | Solving Trigonometric Equations | |
| Algebraically and Graphically | |||||
| 20 | 금 | Review | Review |