MATH Courses for School GPA STARPREP® MATHEMATICS PROGRAMSAlgebra II
Algebra II provides a thorough study of functions, including parent functions, families of functions, and transformational graphing. Transformational graphing uses translations, reflections, dilations, and rotations to generate a family of graphs from a parent graph. The continued study of equations, systems of equations, inequalities, and systems of inequalities builds on Algebra I concepts while polynomials, imaginary numbers in the complex number system, and sequences and series allow additional opportunities for modeling and practical applications. Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.
Algebra II
STARPREP®에서 제공하는 Algebra 2™, High School 프로그램은 Boosting GPA for School Exams 내신성적 향상수업과 GPA Boost for Concepts 개념위주 수업 을 제공하며 학생 요구(Needs)에 따라 최적의 수업진행을 선택할 수 있습니다.
[학생의 성적/수업 이해도에 따라 수업이 진행됩니다.]
for Graders 9-11 (STARPREP® course code: ALGE2)
Professor Myung-Soo Go University of Virginia, BS Johns Hopkins University, MS 석사 학위 취득 Mathematics Expert 수학전문강사 5년 이상 경력
Professor Seongyoon Hong Seoul National University BS Seoul National University 석사 졸업 Seoul National University Ph.D. 수료 Mathematics Expert 수학전문강사 6년 이상 경력
Professor SooHyun Seoul National University 서울대학교 이학학사 Mathematics Expert 수학전문강사 경력
Professor Min-Jae Kim Yonsei University 연세대학교 이학학사 Mathematics Expert 수학전문강사 경력
Professor Jerome Lee, Ph.D. MIT RSI Representative (2012-2022) 11년 역임 MIT Mathematical Physics 전공 KAIST 공학 박사학위 취득 Private Tutoring 20+년 경력
Professor Seongyoon Hong Seoul National University BS Seoul National University 석사 졸업 Seoul National University Ph.D. 수료 Mathematics Expert 수학전문강사 6년 이상 경력
Features/Legacy
★GPA BOOST & SIGNATURE LESSON★
Algebra II™ 내신성적향상 수업
ImproveMyGPA™ Students' Satisfaction : above 99%
Optimizing Concurrent Classrooms (In the Classroom And Online Simultaneously)
Professor Seongyoon Hong Seoul National University BS Seoul National University 석사 졸업 Seoul National University Ph.D. 수료 Mathematics Expert 수학전문강사 6년 이상 경력
★GPA BOOST & SIGNATURE LESSON★
Algebra 2™ 내신성적향상 수업
ImproveMyGPA™ Students' Satisfaction : above 99%
Optimizing Concurrent Classrooms (In the Classroom And Online Simultaneously)
Algebra 2™
Algebra 2™
Lecture Type
1:1 Tutoring Online/In-person Schedule is flexible
Optimizing Concurrent Classrooms (In the Classroom And Online Simultaneously)
Algebra 2™
Algebra 2™
Curriculum Guide
High School Algebra 2
01THE INTEGERS
1-1  Whole Numbers, Integers, and the Number Line 1-2  Writing and Solving Number Sentences 1-3  Adding Polynomials 1-4  Solving Absolute Value Equations and Inequalities 1-5  Multiplying Polynomials 1-6  Factoring Polynomials 1-7  Quadratic Equations with Integral Roots 1-8  Quadratic Inequalities 1-9  Chapter Exercises
02THE RATIONAL NUMBERS
2-1  Rational Numbers 2-2  Simplifying Rational Expressions 2-3  Multiplying and Dividing Rational Expressions 2-4  Adding and Subtracting Rational Expressions 2-5  Ratio and Proportion 2-6  Complex Rational Expressions 2-7  Solving Rational Equations 2-8  Solving Rational Inequalities 2-9  Chapter Exercises
03REAL NUMBERS AND RADICALS
3-1  The Real Numbers and Absolute Value 3-2  Roots and Radicals 3-3  Simplifying Radicals 3-4  Adding and Subtracting Radicals 3-5  Multiplying Radicals 3-6  Dividing Radicals 3-7  Rationalizing a Denominator 3-8  Solving Radical Equations 3-9  Chapter Exercises
04RELATIONS AND FUNCTIONS
4-1  Relations and Functions 4-2  Function Notation 4-3  Linear Functions and Direct Variation 4-4  Absolute Value Functions 4-5  Polynomial Functions 4-6  The Algebra of Functions 4-7  Composition of Functions 4-8  Inverse Functions 4-9  Circles 4-10  Inverse Variation 4-11  Chapter Exercises
05QUADRATIC FUNCTIONS AND COMPLEX NUMBERS
5-1  Real Roots of a Quadratic Equation 5-2   The Quadratic Formula 5-3  The Discriminant 5-4  The Complex Numbers 5-5  Operations with Complex Numbers 5-6  Complex Roots of a Quadratic Equation 5-7  Sum and Product of the Roots of a Quadratic Equation 5-8  Solving Higher Degree Polynomial Equations 5-9  Solutions of Systems of Equations and Inequalities 5-10  Chapter Exercises
06SEQUENCES AND SERIES
6-1  Sequences 6-2  Arithmetic Sequences 6-3  Sigma Notation 6-4  Arithmetic Series 6-5  Geometric Sequences 6-6  Geometric Series 6-7  Infinite Series 6-8  Chapter Exercise
07EXPONENTIAL FUNCTIONS
7-1  Laws of Exponents 7-2  Zero and Negative Exponents 7-3  Fractional Exponents 7-4  Exponential Functions and Their Graphs 7-5  Solving Equations Involving Exponents 7-6  Solving Exponential Equations 7-7  Applications of Exponential Functions 7-8  Chapter Exercise
08LOGARITHMIC FUNCTIONS
8-1  Inverse of an Exponential Function 8-2  Logarithmic Form of an Exponential Equation 8-3  Logarithmic Relationships 8-4  Common Logarithms 8-5  Natural Logarithms 8-6  Exponential Equations 8-7  Logarithmic Equations 8-8  Chapter Exercise
09TRIGONOMETRIC FUNCTIONS
9-1  Trigonometry of the Right Triangle 9-2  Angles and Arcs as Rotations 9-3  The Unit Circle, Sine, and Cosine 9-4  The Tangent Function 9-5  The Reciprocal Trigonometric Functions 9-6  Function Values of Special Angles 9-7  Function Values from the Calculator 9-8  Reference Angles and the Calculator 9-9  Chapter Exercise
10MORE TRIGONOMETRIC FUNCTIONS
10-1  Radian Measure 10-2  Trigonometric Function Values and Radian Measure 10-3  Pythagorean Identities 10-4  Domain and Range of Trigonometric Functions 10-5  Inverse Trigonometric Functions 10-6  Cofunctions 10-7  Chapter Exercise
11GRAPHS OF TRIGONOMETRIC FUNCTIONS
11-1  Graph of the Sine Function 11-2  Graph of the Cosine Function 11-3  Amplitude, Period, and Phase Shift 11-4  Writing the Equation of a Sine or Cosine Graph 11-5  Graph of the Tangent Function 11-6  Graphs of the Reciprocal Functions 11-7  Graphs of Inverse Trigonometric Functions 11-8  Sketching Trigonometric Graphs 11-9  Chapter Exercise
12TRIGONOMETRIC IDENTITIES
12-1  Basic Identities 12-2  Proving an Identity 12-3  Cosine (A-B) 12-4  Cosine (A+B) 12-5  Sine (A-B) and Sine (A+B) 12-6  Tangent (A-B) and Tangent (A+B) 12-7  Functions of 2A 12-8  Functions of (1/2)A 12-9  Chapter Exercise
13TRIGONOMETRIC EQUATIONS
13-1  First-Degree Trigonometric Equations 13-2  Using Factoring to Solve Trigonometric Equations 13-3  Using the Quadratic Formula to Solve Trigonometric Equations 13-4  Using Substitution to Solve Trigonometric Equations Involving More Than One Function 13-5  Using Substitution to Solve Trigonometric Equations Involving Different Angle Measures 13-6  Chapter Exercise
14TRIGONOMETRIC APPLICATIONS
14-1  Similar Triangles 14-2  Law of Cosines 14-3  Using the Law of Cosines to Find Angle Measure 14-4  Area of a Triangle 14-5  Law of Sines 14-6  The Ambiguous Case 14-7  Solving Triangles 14-8  Chapter Exercise
15STATISTICS
15-1  Univariate Statistics 15-2  Measures of Central Tendency 15-3  Measures of Central Tendency for Grouped Data 15-4  Measures of Dispersion 15-5  Variance and Standard Deviation 15-6  Normal Distribution 15-7  Bivariate Statistics 15-8  Correlation Coefficient 15-9  Non-Linear Regression 15-10  Interpolation and Extrapolation 15-11  Chapter Exercise
01THE RATIONAL NUMBERS
2-1  Rational Numbers 2-2  Simplifying Rational Expressions 2-3  Multiplying and Dividing Rational Expressions 2-4  Adding and Subtracting Rational Expressions 2-5  Ratio and Proportion 2-6  Complex Rational Expressions 2-7  Solving Rational Equations 2-8  Solving Rational Inequalities 2-9  Chapter Exercises
02Polynomial Operations
2-1  Exponent Rules 2-2  Four Basic Operations with Polynomials 2-3  Powers of Binomials 2-4  Factoring Techniques 2-5  Chapter Exercises
03REAL NUMBERS AND RADICALS
3-1  The Real Numbers and Absolute Value 3-2  Roots and Radicals 3-3  Simplifying Radicals 3-4  Adding and Subtracting Radicals 3-5  Multiplying Radicals 3-6  Dividing Radicals 3-7  Rationalizing a Denominator 3-8  Solving Radical Equations 3-9  Chapter Exercises
04RELATIONS AND FUNCTIONS
4-1  Relations and Functions 4-2  Function Notation 4-3  Linear Functions and Direct Variation 4-4  Absolute Value Functions 4-5  Polynomial Functions 4-6  The Algebra of Functions 4-7  Composition of Functions 4-8  Inverse Functions 4-9  Circles 4-10  Inverse Variation 4-11  Chapter Exercises
05QUADRATIC FUNCTIONS AND COMPLEX NUMBERS
5-1  Real Roots of a Quadratic Equation 5-2   The Quadratic Formula 5-3  The Discriminant 5-4  The Complex Numbers 5-5  Operations with Complex Numbers 5-6  Complex Roots of a Quadratic Equation 5-7  Sum and Product of the Roots of a Quadratic Equation 5-8  Solving Higher Degree Polynomial Equations 5-9  Solutions of Systems of Equations and Inequalities 5-10  Chapter Exercises
06SEQUENCES AND SERIES
6-1  Sequences 6-2  Arithmetic Sequences 6-3  Sigma Notation 6-4  Arithmetic Series 6-5  Geometric Sequences 6-6  Geometric Series 6-7  Infinite Series 6-8  Chapter Exercise
07EXPONENTIAL FUNCTIONS
7-1  Laws of Exponents 7-2  Zero and Negative Exponents 7-3  Fractional Exponents 7-4  Exponential Functions and Their Graphs 7-5  Solving Equations Involving Exponents 7-6  Solving Exponential Equations 7-7  Applications of Exponential Functions 7-8  Chapter Exercise
08LOGARITHMIC FUNCTIONS
8-1  Inverse of an Exponential Function 8-2  Logarithmic Form of an Exponential Equation 8-3  Logarithmic Relationships 8-4  Common Logarithms 8-5  Natural Logarithms 8-6  Exponential Equations 8-7  Logarithmic Equations 8-8  Chapter Exercise
09TRIGONOMETRIC FUNCTIONS
9-1  Trigonometry of the Right Triangle 9-2  Angles and Arcs as Rotations 9-3  The Unit Circle, Sine, and Cosine 9-4  The Tangent Function 9-5  The Reciprocal Trigonometric Functions 9-6  Function Values of Special Angles 9-7  Function Values from the Calculator 9-8  Reference Angles and the Calculator 9-9  Chapter Exercise
10MORE TRIGONOMETRIC FUNCTIONS
10-1  Radian Measure 10-2  Trigonometric Function Values and Radian Measure 10-3  Pythagorean Identities 10-4  Domain and Range of Trigonometric Functions 10-5  Inverse Trigonometric Functions 10-6  Cofunctions 10-7  Chapter Exercise
11GRAPHS OF TRIGONOMETRIC FUNCTIONS
11-1  Graph of the Sine Function 11-2  Graph of the Cosine Function 11-3  Amplitude, Period, and Phase Shift 11-4  Writing the Equation of a Sine or Cosine Graph 11-5  Graph of the Tangent Function 11-6  Graphs of the Reciprocal Functions 11-7  Graphs of Inverse Trigonometric Functions 11-8  Sketching Trigonometric Graphs 11-9  Chapter Exercise
12TRIGONOMETRIC IDENTITIES
12-1  Basic Identities 12-2  Proving an Identity 12-3  Cosine (A-B) 12-4  Cosine (A+B) 12-5  Sine (A-B) and Sine (A+B) 12-6  Tangent (A-B) and Tangent (A+B) 12-7  Functions of 2A 12-8  Functions of (1/2)A 12-9  Chapter Exercise
13TRIGONOMETRIC EQUATIONS
13-1  First-Degree Trigonometric Equations 13-2  Using Factoring to Solve Trigonometric Equations 13-3  Using the Quadratic Formula to Solve Trigonometric Equations 13-4  Using Substitution to Solve Trigonometric Equations Involving More Than One Function 13-5  Using Substitution to Solve Trigonometric Equations Involving Different Angle Measures 13-6  Chapter Exercise
14TRIGONOMETRIC APPLICATIONS
14-1  Similar Triangles 14-2  Law of Cosines 14-3  Using the Law of Cosines to Find Angle Measure 14-4  Area of a Triangle 14-5  Law of Sines 14-6  The Ambiguous Case 14-7  Solving Triangles 14-8  Chapter Exercise
15STATISTICS
15-1  Univariate Statistics 15-2  Measures of Central Tendency 15-3  Measures of Central Tendency for Grouped Data 15-4  Measures of Dispersion 15-5  Variance and Standard Deviation 15-6  Normal Distribution 15-7  Bivariate Statistics 15-8  Correlation Coefficient 15-9  Non-Linear Regression 15-10  Interpolation and Extrapolation 15-11  Chapter Exercise
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