#### Algebra Tools

Since algebraic problems appear twice as frequently as other subjects on MATHCOUNTS and AMC 8, this course makes a second pass at algebra, covering more advanced topics that Algebra Basics (Module 1) did not have time for.

저희의 혁신적인 교수법을 아직 확인하지 못하셨다면, visit our home page first하여 온라인 수학 교육의 모습에 대한 **고정관념을 깨보세요**.

#### 클릭하여 음소거

### 이 강좌는 누구에게 적합한가요?

Are you taking any math class from 5th Grade Math through Algebra, and already know the content in our Algebra Basics class? If so, you are already ready to understand this course. It will teach many Algebra topics with creative methods that go beyond the curriculum.

진단 시험:

### 강좌 구조

이 강좌에는 수업 16개와 이 강좌의 4가지 1시간짜리 연습 시험(숙제)을 논의하는 시험 검토 세션 4개까지, 1시간짜리 LIVE 동영상 세션 20개가 포함되어 있습니다. 각각의 수업은 Stars 2명이 함께 가르칩니다. 총 150개 이상의 문제가 있습니다.

여러분에게 익숙하지 않을 여러 문제를 각 수업에서 다루므로, 나만의 해결 방법을 만들어내도록 영감을 줍니다. LIVE 동영상 수업 형식을 통해 아이디어를 제안할 수 있으며, 수업에서 자체적으로 나온 아이디어를 이용해 대안적 해결 방법을 다양하게 구성할 수 있도록 함께 브레인스토밍합니다. 이러한 활동은 수학을 깨칠 수 있게 여러분을 적극적으로 참여시킵니다.

각 연습 시험에는 20문제가 있고, 절반은 평균 난이도이며 절반은 아주 어렵습니다.

### 리뷰

really well explained!

This course shows you all the tips and tricks to not only to algebra but much more. They break it up into little pieces so you don't have to do much time every day. And whenever you have free time, boom! You can work on some math. This is coming from a fifth grader.

really well explained!

This course shows you all the tips and tricks to not only to algebra but much more. They break it up into little pieces so you don't have to do much time every day. And whenever you have free time, boom! You can work on some math. This is coming from a fifth grader.

really well explained!

This course shows you all the tips and tricks to not only to algebra but much more. They break it up into little pieces so you don't have to do much time every day. And whenever you have free time, boom! You can work on some math. This is coming from a fifth grader.

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### 교육과정

**1일차**

Percentage problems; decimals; ratios; difference of squares; distributive property; patterns in squares; exponents; scientific notation; estimation; expressions with two variables; multiplying binomials; special numbers

**2일차**

Interpreting word problems using algebraic expressions; number patterns; solving linear equations in two variables; integer equations; distributive property

**3일차**

Functions; averages; applications of variable expressions; order of operations; distributive property; simplifying expressions; rational functions; reciprocals; inverse functions

**4일차**

Sequences; algebraic methods and Fibonacci sequence; linear equations in one variable; rational expressions; functions; rational numbers and their decimal representations

**5일차**

Arithmetic and geometric sequences and their sums; averages; parity; prime factorization; divisibility; negative integers; sum of powers of 2; common ratio

**6일차**

Simplifying radicals and rational expressions; square roots; nested square root expressions; multiplying binomials; nonlinear equations in two variables; integer expressions; word problems; difference of squares; common denominator

**7일차**

Exponents, multiplying and dividing exponents; n-th roots; derivation of definition of fractional powers; estimation; geometric sequences; common ratio; derivation of formula for geometric mean

**8일차**

Repeating decimals derived from geometric sequences and fractional form of; linear equations in one variable; sum of a convergent geometric sequence

**9일차**

Word problems; systems of linear equations in two variables; substitution method; rational equations; reciprocals; change of variables; averages; number line

**10일차**

Linear equations in three variables; substitution method; adding and subtracting equations; symmetry

**11일차**

Quadratic equations; factoring methods; multiplying binomials; distributive property; zero product rule; sum and product of the solutions of a quadratic and Viète's formulas; change of variables; reciprocals

**12일차**

Derivation of Loh method of solving quadratic equations and applications to word problems; roots of an equation; ratios and proportion; area; sum and product of roots of a quadratic; golden ratio; difference of squares

**13일차**

Graphing; definition of axes, origin, and coordinates; perpendicular angles and bisectors; rotation; system of linear equations with two variables; midpoints; slope-intercept form; slope of a line; x- and y- intercepts

**14일차**

Graphing; intersection point of two lines; x- and y-intercepts; similar triangles; ratios; rotations of lines; systems of equations with two variables; sum of angles in a triangle; distance between a point and a line

**15일차**

Right isosceles triangles; Pythagorean Thm; slope-intercept form of the equation of a line; coordinates; distance between two points; point equidistant from two other points; perpendicular bisector

**16일차**

Graph of a parabola; tangent line to a curve; coordinates; slope and approximating slope; multiplying binomials; decimals; graph of the square root function; inverse functions; reflection of a curve

### 등록

We will offer the LIVE version of this course in Summer 2023.

일정에 맞출 수 없거나 이미 특별히 동기가 강한 학생들을 위해, 자기 진도 맞춤형 버전에는 이 주제에 대한 Loh 교수의 가르침이 모두 포함되어 있습니다. 원하는 형식을 선택해 등록하세요.