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MATH Courses for School GPA STARPREP® MATHEMATICS PROGRAMSAlgebra I

Algebra 1 introduces students to variables, algebraic expressions, equations, inequalities, functions, and all their multiple representations. In this class, students will develop the ability to explore and solve real-world application problems, demonstrate the appropriate use of graphing calculators, and communicate mathematical ideas clearly. This course lays the foundation for mathematical literacy that will help students be successful in every subsequent course in mathematics.

Algebra I

STARPREP®에서 제공하는 Algebra I, High School 프로그램은 총 4개의 다양한
(GAP Boost for School Exams 내신성적 향상수업 / GPA Boost for Concepts 개념위주 수업
Summer Boot Camp 여름방학 집중수업 / Winter Boot Camp 겨울방학 집중수업)
을 제공하며 학생 요구(Needs)에 따라 최적의 수업을 선택할 수 있습니다.

[학생의 성적/수업 이해도에 따라 다른 FIELDS(과목별)/SECTOR(수준별 반)으로의 전환이 이루어집니다.]

for Graders 5-7
(STARPREP® course code: ALGE1)


Chair: Dr. Jerome Lee (MIT)
Professors: David Kim (MIT); Herold Lee (Caltech); Jennifer Ahn (Duke)

Registration Board

High School Algebra 1

  • Lecture Dates/Registration Status
  • To Be Arranged
    Now Available
  • Algebra 1™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE1-01

    ★ Algebra 1™ 내신성적향상 수업 ★
    ImproveMyGPA™

    Professor
    TBA
  • Features
  • ★Review and Application★

    Algebra 1™ 내신성적향상 수업
    ImproveMyGPA™

    Students' Satisfaction : above 90%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Algebra 1™
  • Lecture Dates/Registration Status
  • To Be Arranged
    Unavailable
  • Algebra 1™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE1-02

    Professor
    TBA
  • Features
  • ★GPA BOOST for School Exams★
    내신성적 "향상" 수업

    Students' Satisfaction : above 90%
    Schools/Textbooks
    Real-time Online/Offline Course
  • Algebra 1™
  • Lecture Dates/Registration Status
  • TBA
    Korea Standard Time (KST)

    Being closed
  • Algebra 1™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE1-03

    Professor
    TBA (To Be Arranged)
  • Features
  • ★GPA BOOST in WINTER BOOT CAMP★
    겨울특강 "집중" 수업
    Students' Satisfaction : above 90%

    Real-time Online/Offline Course
  • Algebra 1™
  • Lecture Dates/Registration Status
  • TBA
    Korea Standard Time (KST)

    Being closed
  • Algebra 1™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : ALGE1-04

    Professor
    TBA (To Be Arranged)
  • Features
  • ★GPA BOOST in SUMMER BOOT CAMP★
    여름특강 "집중" 수업
    Students' Satisfaction : above 90%

    Real-time Online/Offline Course
  • Algebra 1™
Lecture Dates/Registration Status Course Code/Professor(Alma Mater) Features
TBA
Korea Standard Time (KST)
Being closed
STARPREP® COURSE CODE : ALGE1-01

Professor
TBA (To Be Arranged)

★GPA BOOST for School Exams★
내신성적 "향상" 수업
Students' Satisfaction : above 90%
Schools/Textbooks
Real-time Online/Offline Course
Algebra 1™ Algebra 1™
To Be Arranged

Being currently closed
STARPREP® COURSE CODE : ALGE1-02

★ Algebra 1™ 내신성적향상 수업 ★
ImproveMyGPA™


Professor
TBA

★Review and Application★

Algebra 1™ 내신성적향상 수업
ImproveMyGPA™

Students' Satisfaction : above 90%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Algebra 1™ Algebra 1™
TBA
Korea Standard Time (KST)
Being closed
STARPREP® COURSE CODE : ALGE1-03

Professor
TBA (To Be Arranged)

★GPA BOOST in WINTER BOOT CAMP★
겨울특강 "집중" 수업
Students' Satisfaction : above 90%

Real-time Online/Offline Course
Algebra 1™ Algebra 1™
TBA
Korea Standard Time (KST)
Being closed
STARPREP® COURSE CODE : ALGE1-04

Professor
TBA (To Be Arranged)

★GPA BOOST in SUMMER BOOT CAMP★
여름특강 "집중" 수업
Students' Satisfaction : above 90%

Real-time Online/Offline Course
Algebra 1™ Algebra 1™
01 Rules of Behavior for Numbers

1-1  Addition, Subtraction, Multiplication, and Division
1-2  Communicative Properties: The Order-Doesn't-Make-a-Difference
1-3  The Problem of the Unbalanced Ferry
1-4  Rules for Adding Odd and Even Numbers
1-5  Using Letters to Represent Numbers
1-6  The Gremlin
1-7  The Algebra Challenge
1-8  Undefined Terms: Axioms or Postulates
1-9  Postulates For The Natural Numbers
1-10  Precedence Rules For Arithmetic Expressions: Order of Operations
1-11  Worksheet: Precedence Rules
1-12  Properties: Closure and Distributive
1-13  Note to Chapter 1
1-14  Checkup Exercise

02 Equations

2-1  The Golden Rule of Equations
2-2  The Reflexive, Symmetric, and Transitive Properties
2-3  Conditional Equations
2-4  Expressions: The Implied Multiplication Rule
2-5  Worksheet: Equations
2-6  Expressions: Using Letters for Known and Unknown Quantities
2-7  Equations
2-8  Notes to Chapter 2
2-9  Checkup Exercise

03 Negative Numbers and Integers

3-1  Properties of Zero
3-2  The Distressing Case of Negative Numbers
3-3  Mutual Assured Destruction Rule/Additive Inverse Rule
3-4  Integers
3-5  The Absolute Value of a Number
3-6  Negative Numbers
3-7  Worksheet: Nagative Numbers
3-8  Checkup Exercise

04 Fractions and Rational Numbers

4-1  Stanislavsky's Complete Guide to Everything Worth Knowing About Fractions
4-2  Proper / Equivalent Fractions
4-3  Reciprocals, Compound Fractions, and Division
4-4  Prohibition: No Zero Demoninators
4-5  Rational Numbers
4-6  Rules For Fractions
4-7  Chapter 2: Decimal Fractions
4-8  Worksheet: Equations with Fractions
4-9  Chapter 3: Percent
4-10  Note to Chapter 4
4-11  Checkup Exercise

05 Exponents

5-1  The Square Tile Wall
5-2  Squared Numbers
5-3  Exponents
5-4  Powers of 10
5-5  Scientific Notation
5-6  Square Roots
5-7  Laws of Exponents
5-8  Negative Exponents and the Width of the Amoeba
5-9  Worksheet: Scientific Notation
5-10  Note to Chapter 5
5-11  Checkup Exercise

06 Roots and Real Numbers

6-1  The Speed of the Fastball
6-2  The Pythagorean Theorem
6-3  The Square Root of 2
6-4  Irrational Numbers
6-5  Summary of Roots
6-6  Fractional Exponents
6-7  Worksheet: Expressions Involving Roots
6-8  Checkup Exercise

07 Algebraic Expressions

7-1  Monomials, Binomials, and Trinomials
7-2  Algebraic Expression Rule: Like Terms
7-3  Distributive Properties: Coefficients
7-4  The FOIL Method for Multiplying Binomials
7-5  General Rules Worth Remebering Worksheet: Multiplying Binomials
7-6  Note to Chapter 7
7-7  Checkup Exercise

08 Functions

8-1  Function Machines
8-2  Function notation
8-3  Calculating a Function Backwards: The Inverse of a Function
8-4  The Domain and Range of a Function
8-5  Independent and Dependent Variables
8-6  Function Notation
8-7  Notes to Chapter 8
8-8  Checkup Exercise

09 Graphs

9-1  Locating Points in the Forest
9-2  The Distance Between Two Points
9-3  Graphing: x Axis and y Axis
9-4  Graphs of Linear Functions
9-5  To Calculate the Slope of a Line
9-6  Graphing Inequalities
9-7  Equations For Lines
9-8  Curves
9-9  Graphing Relationships
9-10  Vertical / Horizontal Line Test
9-11  Notes to Chapter 9
9-12  Checkup Exercise

10 Systems of Two Equations

10-1  The Desperate Race Against Time
10-2  The Solution to Two Simultaneous Equations
10-3  Supply/Demand Function?
10-4  Worksheet: Simultaneous Equations
10-5  Note to Chapter 10
10-6  Checkup Exercise

11 Quadratic Equations

11-1  Polynomials
11-2  The Equation with Two Solutions
11-3  Solving Quadratic Equations by Fractoring
11-4  Competint the Square
11-5  The Quadratic Formula
11-6  Worksheet: Quadratic Equations
11-7  Checkup Exercise

12 Circles, Ellipses, and Parabolas

12-1  The Stadium Scoreboard Lights
12-2  Definition of a Circle
12-3  Equation of Circle With Center at origin and Radius r
12-4  Formulas For Circles
12-5  The Special Number π
12-6  Coordinate Translation
12-7  Ellipses
12-8  The Equation of an Ellipse
12-9  Some Ellipses Are More Eccentric Than Others
12-10  Parabolas
12-11  Reflecting Telescopes
12-12  Hyperbolas
12-13  Notes to Chapter 12
12-14  Checkup Exercise

13 Polynomials

13-1  The Dragon's Swimming Hole
13-2  Curves That Co Up and Down
13-3  3rd and 4th Degree Curves
13-4  Algebraic Division
13-5  Worksheet: Polynomial Division
13-6  The Overly Thrilling Ride on the Discontinuous Curve
13-7  Notes to Chapter 13
13-8  Checkup Exercise

14 Exponential Functions and Logarithms

14-1  Recordis Family Tree
14-2  The Peril from the Exponentially Growing Bacteria
14-3  Exponential Functions
14-4  The Ping Pong Tournament
14-5  Logarithm Functions
14-6  Common Logarithms
14-7  Worksheet: Logarithms
14-8  Converting Curves to Lines
14-9  Solving the Planet Problem and Population Growth Problem
14-10  Notes to Chapter 14
14-11  Checkup Exercise

15 Simulataneous Equations and Matrices

15-1  The Souvenir Pennant Factory
15-2  The Mystery of the Missing Hot Dogs
15-3  General Definition of Matrix Multiplication
15-4  Worksheet: Matrix Multiplication
15-5  Solving an Equation System with a Matrix Inverse
15-6  Recordis Precision Diet 9Version 3)
15-7  Determinants
15-8  The Height of the Balloon
15-9  Graphs in Three-Dimensional Space
15-10  Three-Equation, Three-Variable Systems: Summary
15-11  The Final Attack: 5-by-5 System
15-12  Notes to Chapter 15
15-13  Checkup Exercise

16 Series

16-1  The Triangular Lookout Tower
16-2  The Sum 1 + 2 + 3 + ... + n
16-3  Summation Notation
16-4  Arithmetic Series
16-5  Recordis Not-Quite-Infinite Income
16-6  Geometric Series
16-7  Worksheet: Arithmetic and Geometric Series
16-8  Checkup Exercise

17 Permutations, Comnbinations, and The Binomial Formula

17-1  The Indecisive Baseball Manager
17-2  Factoring Function
17-3  The Card Game
17-4  Permutations
17-5  Combinations
17-6  Worksheet: Combinations Formula
17-7  Caculating (a+b)n
17-8  Pascal's Triangle
17-9  The Binomial Formula
17-10  Notes to Chapter 17
17-11  Checkup Exercise

18 Proofs By Mathematical Induction

18-1  Proving the Arithmetic Series Formula
18-2  The Method of Mathematical Induction
18-3  Proving the Geometric Series Formula
18-4  Proving the Binomial Formula
18-5  Checkup Exercise

19 Imaginary Numbers

19-1  The Square Root of -1
19-2  Complex Numbers
19-3  Multiplying complex Numbers
19-4  The Graph of a Complex numbers
19-5  Worksheet: Quadratic Equations with Complex Number Solutions
19-6  The Party
19-7  Notes to Chapter 19
19-8  Checkup Exercise

01 Rules of Behavior for Numbers

1-1  Addition, Subtraction, Multiplication, and Division
1-2  Communicative Properties: The Order-Doesn't-Make-a-Difference
1-3  The Problem of the Unbalanced Ferry
1-4  Rules for Adding Odd and Even Numbers
1-5  Using Letters to Represent Numbers
1-6  The Gremlin
1-7  The Algebra Challenge
1-8  Undefined Terms: Axioms or Postulates
1-9  Postulates For The Natural Numbers
1-10  Precedence Rules For Arithmetic Expressions: Order of Operations
1-11  Worksheet: Precedence Rules
1-12  Properties: Closure and Distributive
1-13  Note to Chapter 1
1-14  Checkup Exercise

02 Equations

2-1  The Golden Rule of Equations
2-2  The Reflexive, Symmetric, and Transitive Properties
2-3  Conditional Equations
2-4  Expressions: The Implied Multiplication Rule
2-5  Worksheet: Equations
2-6  Expressions: Using Letters for Known and Unknown Quantities
2-7  Equations
2-8  Notes to Chapter 2
2-9  Checkup Exercise

03 Negative Numbers and Integers

3-1  Properties of Zero
3-2  The Distressing Case of Negative Numbers
3-3  Mutual Assured Destruction Rule/Additive Inverse Rule
3-4  Integers
3-5  The Absolute Value of a Number
3-6  Negative Numbers
3-7  Worksheet: Nagative Numbers
3-8  Checkup Exercise

04 Fractions and Rational Numbers

4-1  Stanislavsky's Complete Guide to Everything Worth Knowing About Fractions
4-2  Proper / Equivalent Fractions
4-3  Reciprocals, Compound Fractions, and Division
4-4  Prohibition: No Zero Demoninators
4-5  Rational Numbers
4-6  Rules For Fractions
4-7  Chapter 2: Decimal Fractions
4-8  Worksheet: Equations with Fractions
4-9  Chapter 3: Percent
4-10  Note to Chapter 4
4-11  Checkup Exercise

05 Exponents

5-1  The Square Tile Wall
5-2  Squared Numbers
5-3  Exponents
5-4  Powers of 10
5-5  Scientific Notation
5-6  Square Roots
5-7  Laws of Exponents
5-8  Negative Exponents and the Width of the Amoeba
5-9  Worksheet: Scientific Notation
5-10  Note to Chapter 5
5-11  Checkup Exercise

06 Roots and Real Numbers

6-1  The Speed of the Fastball
6-2  The Pythagorean Theorem
6-3  The Square Root of 2
6-4  Irrational Numbers
6-5  Summary of Roots
6-6  Fractional Exponents
6-7  Worksheet: Expressions Involving Roots
6-8  Checkup Exercise

07 Algebraic Expressions

7-1  Monomials, Binomials, and Trinomials
7-2  Algebraic Expression Rule: Like Terms
7-3  Distributive Properties: Coefficients
7-4  The FOIL Method for Multiplying Binomials
7-5  General Rules Worth Remebering Worksheet: Multiplying Binomials
7-6  Note to Chapter 7
7-7  Checkup Exercise

08 Functions

8-1  Function Machines
8-2  Function notation
8-3  Calculating a Function Backwards: The Inverse of a Function
8-4  The Domain and Range of a Function
8-5  Independent and Dependent Variables
8-6  Function Notation
8-7  Notes to Chapter 8
8-8  Checkup Exercise

09 Graphs

9-1  Locating Points in the Forest
9-2  The Distance Between Two Points
9-3  Graphing: x Axis and y Axis
9-4  Graphs of Linear Functions
9-5  To Calculate the Slope of a Line
9-6  Graphing Inequalities
9-7  Equations For Lines
9-8  Curves
9-9  Graphing Relationships
9-10  Vertical / Horizontal Line Test
9-11  Notes to Chapter 9
9-12  Checkup Exercise

10 Systems of Two Equations

10-1  The Desperate Race Against Time
10-2  The Solution to Two Simultaneous Equations
10-3  Supply/Demand Function?
10-4  Worksheet: Simultaneous Equations
10-5  Note to Chapter 10
10-6  Checkup Exercise

11 Quadratic Equations

11-1  Polynomials
11-2  The Equation with Two Solutions
11-3  Solving Quadratic Equations by Fractoring
11-4  Competint the Square
11-5  The Quadratic Formula
11-6  Worksheet: Quadratic Equations
11-7  Checkup Exercise

12 Circles, Ellipses, and Parabolas

12-1  The Stadium Scoreboard Lights
12-2  Definition of a Circle
12-3  Equation of Circle With Center at origin and Radius r
12-4  Formulas For Circles
12-5  The Special Number π
12-6  Coordinate Translation
12-7  Ellipses
12-8  The Equation of an Ellipse
12-9  Some Ellipses Are More Eccentric Than Others
12-10  Parabolas
12-11  Reflecting Telescopes
12-12  Hyperbolas
12-13  Notes to Chapter 12
12-14  Checkup Exercise

13 Polynomials

13-1  The Dragon's Swimming Hole
13-2  Curves That Co Up and Down
13-3  3rd and 4th Degree Curves
13-4  Algebraic Division
13-5  Worksheet: Polynomial Division
13-6  The Overly Thrilling Ride on the Discontinuous Curve
13-7  Notes to Chapter 13
13-8  Checkup Exercise

14 Exponential Functions and Logarithms

14-1  Recordis Family Tree
14-2  The Peril from the Exponentially Growing Bacteria
14-3  Exponential Functions
14-4  The Ping Pong Tournament
14-5  Logarithm Functions
14-6  Common Logarithms
14-7  Worksheet: Logarithms
14-8  Converting Curves to Lines
14-9  Solving the Planet Problem and Population Growth Problem
14-10  Notes to Chapter 14
14-11  Checkup Exercise

15 Simulataneous Equations and Matrices

15-1  The Souvenir Pennant Factory
15-2  The Mystery of the Missing Hot Dogs
15-3  General Definition of Matrix Multiplication
15-4  Worksheet: Matrix Multiplication
15-5  Solving an Equation System with a Matrix Inverse
15-6  Recordis Precision Diet 9Version 3)
15-7  Determinants
15-8  The Height of the Balloon
15-9  Graphs in Three-Dimensional Space
15-10  Three-Equation, Three-Variable Systems: Summary
15-11  The Final Attack: 5-by-5 System
15-12  Notes to Chapter 15
15-13  Checkup Exercise

16 Series

16-1  The Triangular Lookout Tower
16-2  The Sum 1 + 2 + 3 + ... + n
16-3  Summation Notation
16-4  Arithmetic Series
16-5  Recordis Not-Quite-Infinite Income
16-6  Geometric Series
16-7  Worksheet: Arithmetic and Geometric Series
16-8  Checkup Exercise

17 Permutations, Comnbinations, and The Binomial Formula

17-1  The Indecisive Baseball Manager
17-2  Factoring Function
17-3  The Card Game
17-4  Permutations
17-5  Combinations
17-6  Worksheet: Combinations Formula
17-7  Caculating (a+b)n
17-8  Pascal's Triangle
17-9  The Binomial Formula
17-10  Notes to Chapter 17
17-11  Checkup Exercise

18 Proofs By Mathematical Induction

18-1  Proving the Arithmetic Series Formula
18-2  The Method of Mathematical Induction
18-3  Proving the Geometric Series Formula
18-4  Proving the Binomial Formula
18-5  Checkup Exercise

19 Imaginary Numbers

19-1  The Square Root of -1
19-2  Complex Numbers
19-3  Multiplying complex Numbers
19-4  The Graph of a Complex numbers
19-5  Worksheet: Quadratic Equations with Complex Number Solutions
19-6  The Party
19-7  Notes to Chapter 19
19-8  Checkup Exercise


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Reference Lectures

Algebra 1

Real Numbers, Algebra I Defintion of Terms,Alebra I
Intro to Algebra I Basic Review, Algebra 1
Simplifying Exponents, Algebra I Laws of Exponents, Algebra 1