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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

Curriculum Guide

High School Algebra 2

  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE2-01

    ★ Algebra 2 GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Class registration is available at any time

    Professor
    Min-Jae Kim
    Yonsei University
    연세대학교 이학학사
    Mathematics Expert 수학전문강사 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)
  • Algebra 2™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE2-02

    ★ Algebra 2 GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Class registration is available at any time

    Professor
    SooHyun
    Seoul National University
    서울대학교 이학학사
    Mathematics Expert 수학전문강사 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)
  • Algebra 2™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE2-03

    ★ Algebra 2 GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Class registration is available at any time

    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)
  • Algebra 2™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE2-04

    ★ Algebra 2 GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Class registration is available at any time.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    2023 Fall - 2024 Spring Semester 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Algebra 2™
Lecture Dates/Registration Status Course Code/Specialty Features/Legacy
Lecture Date

Every Friday
6:00pm-9:00pm

★Registration Status★ OPEN Registration Form 등록 신청서
STARPREP® COURSE CODE : ALGE2-01

★Algebra 2™ 내신성적향상 수업★
ImproveMyGPA™

Class registration is available at any time

Professor
Min-Jae Kim
Yonsei University
연세대학교 이학학사
Mathematics Expert 수학전문강사 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 Date

Every Saturday Morning
9:00am-12:00pm

★Registration Status★ OPEN Registration Form 등록 신청서
STARPREP® COURSE CODE : ALGE2-02

★Algebra 2™ 내신성적향상 수업★
ImproveMyGPA™

Class registration is available at any time

Professor
SooHyun
Seoul National University
서울대학교 이학학사
Mathematics Expert 수학전문강사 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 Date

Every Saturday
1:00pm-4:00pm

★Registration Status★ OPEN Registration Form 등록 신청서
STARPREP® COURSE CODE : ALGE2-03

★Algebra 2™ 내신성적향상 수업★
ImproveMyGPA™

Class registration is available at any time

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

★Registration Status★ OPEN Registration Form 등록 신청서
STARPREP® COURSE CODE : ALGE2-04

★Algebra 2™ 내신성적향상 수업★
ImproveMyGPA™

Class registration is available at any time.
★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™

Curriculum Guide

High School Algebra 2

01 THE 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

02 THE 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

03 REAL 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

04 RELATIONS 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

05 QUADRATIC 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

06 SEQUENCES 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

07 EXPONENTIAL 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

08 LOGARITHMIC 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

09 TRIGONOMETRIC 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

10 MORE 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

11 GRAPHS 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

12 TRIGONOMETRIC 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

13 TRIGONOMETRIC 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

14 TRIGONOMETRIC 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

15 STATISTICS

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

01 THE 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

02 Polynomial 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

03 REAL 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

04 RELATIONS 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

05 QUADRATIC 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

06 SEQUENCES 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

07 EXPONENTIAL 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

08 LOGARITHMIC 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

09 TRIGONOMETRIC 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

10 MORE 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

11 GRAPHS 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

12 TRIGONOMETRIC 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

13 TRIGONOMETRIC 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

14 TRIGONOMETRIC 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

15 STATISTICS

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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Reference Lectures

Algebra 2

Introduction, Algebra II Analyzing Data, Algebra II
Probability, Algebra II Permutations and Combinations, Algebra 2