문장제 문제를 영어로!
미국교과서로 중학수학 서술형 대비

수학 실력은 한국학생이 미국학생보다 높지만,

서술형 문제는 미국학생이 훨씬 잘 합니다.

실제로 한국 초중학생의 51%가

서술형 문제를 가장 어려워해요.

한국수학은 결과에 집중하고,

미국수학은 과정에 집중하기 때문입니다.

이 수업에서는 미국의 대표적인 수학 교과서

맥그로힐로 대수학(Algebra 1)을 학습합니다.

미국 학생처럼 어떠한 과정을 거쳐서

이 답이 나왔는지, 과정을 탐구합니다.

서술형 문제를 해석하는 능력을 키워요.

이과 끝판왕! 의대 선생님

해외에서 초, 중, 고를 나오고
현재 미국 의전원에 재학 중인 선생님이

학생 눈높이에 맞게 설명해드립니다.

📝 학습내용

수강생의 수준에 맞춰 수업을 진행합니다.

어느 시점에 참여해도

수업을 따라가는 데 무리가 없어요!

• CHAPTER 1

Understanding the Real Numbers

Classifying Real Numbers Rational and Irrational Roots

• CHAPTER 2

Properties of the Real Numbers

Commutative and Associative Properties Identity and Inverse Properties Distributive Property

Zero Factor Property

• CHAPTER 3

The Number Line and Comparing Numbers

The Number Line Comparing Numbers

• CHAPTER 4

Absolute Value

Determining Absolute Value Properties of Absolute Value

• CHAPTER 5

Performing Operations with Real Numbers

(Algebraic) Addition and Subtraction of Real Numbers

(Algebraic) Multiplication and Division Rules for Real (Signed) Num- bers

• CHAPTER 6

Exponents

Positive Integer Exponents

Zero and Negative Integer Exponents Rules for Negative Exponents

Unit Fraction and Rational Exponents Rules for Exponents

• CHAPTER 7

Radicals

Expressing Rational Exponents as Radicals Product and Quotient Rules for Radicals Transforming Radicals into Simplified Form

• CHAPTER 8

Order of Operations

Grouping Symbols Order of Operations

• CHAPTER 9

Algebraic Expressions and Formulas

Algebraic Expressions Formulas

• CHAPTER 10

Polynomial Terminology

Monomials

One-Variable Polynomials

• CHAPTER 11

Adding and Subtracting Polynomials

Adding and Subtracting Monomials Adding and Subtracting Polynomials

• CHAPTER 12

Multiplying Polynomials

Multiplying Monomials

Multiplying a Polynomial by a Monomial Multiplying Binomials

Multiplying Two Polynomials

Special Products

• CHAPTER 13

Simplifying Polynomial Expressions

Removing Parentheses by Addition or Subtraction

Removing Parentheses by Multiplication or Raising to a Power

• CHAPTER 14

Dividing Polynomials

Dividing a Polynomial by a Monomial Dividing a Polynomial by a Polynomial

• CHAPTER 15

Factoring Polynomials

Factoring Out the Greatest Common Factor Factoring the Difference of Two Squares

Factoring Perfect Trinomial Squares

Factoring the Sum and the Difference of Two Cubes Factoring General Trinomials

• CHAPTER 16

Fundamental Concepts of Rational Expres- sions

Definition of a Rational Expression

Reducing Rational Expressions

Building Up the Denominator of a Rational Expression

• CHAPTER 17

Multiplying and Dividing Rational Expres- sions

Multiplying Rational Expressions Dividing Rational Expressions

• CHAPTER 18

Adding and Subtracting Rational Expres- sions

Adding and Subtracting Rational Expressions, Like Denominators Adding and Subtracting Rational Expressions, Unlike Denominators

• CHAPTER 19

Simplifying Complex Fractions

Writing Complex Fractions as Division Problems to Simplify Using the LCD to Simplify a Complex Fraction

• CHAPTER 20

One-Variable Linear Equations and Inequal- ities

Basic Concepts

Solving One-Variable Linear Equations

Solving Linear Equations with Two or More Variables for a Specific Variable

Solving One-Variable Linear Inequalities

• CHAPTER 21

One-Variable Quadratic Equations

Basic Concepts

Solving Quadratic Equations of the Form ax2 + c = 0

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Completing the Square Solving Quadratic Equations by Using the Quadratic Formula

• CHAPTER 22

The Cartesian Coordinate Plane

The Coordinate Plane and Ordered Pairs Quadrants of the Coordinate Plane

• CHAPTER 23

Formulas for the Coordinate Plane

Distance Formula Midpoint Formula Slope Formula Rise and Run

• CHAPTER 24

Graphing Lines in the Plane

Graphing y = mx + b Graphing Ax + By = C

• CHAPTER 25

Determining the Equation of a Line

Determining the Equation of a Line Given the Slope and y-Intercept Determining the Equation of a Line Given the Slope and One Point on the Line Determining the Equation of a Line Given Two Distinct Points on the Line

• CHAPTER 26

Signal Words and Phrases

Common Signal Words and Phrases for Addition Common Signal Words and Phrases for Subtraction Common Signal Words and Phrases for Multiplication Common Signal Words and Phrases for Division Common Signal Words and Phrases for Equality

• CHAPTER 27

Applying Algebra to Word Problems

Steps in Algebraic Problem-Solving

Be Careful with Units

• CHAPTER 28

Applications

Number Problems

Age Problems

Ratio and Proportion Problems Mixture Problems

Coin Problems Rate-Time-Distance Problems Work Problems

Percentage Problems

Simple Interest Problems Geometry Problems

• CHAPTER 29

Introduction to Functions

Defining a Function Evaluating Functions

• CHAPTER 30

Graphs of Functions

Vertical Line Test

Zeros and Intercepts

Increasing, Decreasing, and Constant Behavior

• CHAPTER 31

Common Functions and Their Graphs

Linear Functions Quadratic Functions Exponential Functions

• CHAPTER 32

Introduction to Systems of Two-Variable Equations

Definition and Terminology for Systems of Two-Variable Linear Equations

Types of Solutions for Systems of Two-Variable Linear Equations

• CHAPTER 33

Solving Systems of Two-Variable Linear Equations

Solving Systems of Two-Variable Linear Equations by Substitution

Solving Systems of Two-Variable Linear Equations by Elimination Solving Systems of Two-Variable Linear Equations by Graphing

• CHAPTER 34

Graphing Systems of Two-Variable In- equalities

Graphing Two-Variable Linear Inequalities Graphing Two-Variable Quadratic Inequalities

미국 중학생처럼 서술형 문제 쉽게 풀기

수학교과에서 서술형 문제의 비중이

점점 커지고 있습니다.

수학 문제를 이해하는 것부터 어려워요.

거기다 답도 문장으로 써야하죠.

미국 학생처럼 과정에 초점을

맞춰 수학을 학습하면,

우리 아이도 서술형 문제를

쉽게 해석할 수 있어요.