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:

이해할 수 있을까요?새로운 것을 배우게 될까요?

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

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

RT

this is so good it is not boring and very engaging

AC

It’s great, I can understand and I am learning new ways of solving this question.

EC

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.

MF

AMAZING

AQ

The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.

NZ

It's good, everything make sense

EP

It's really suitable for people who find math boring at first (just like me), this course really gives me the passion for learning and exploring math!

PG

VERY GOOD AND INTERESTING!!!!!!

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

이 강좌에는 LIVE 및 자기 진도 맞춤형 버전이 있습니다. LIVE 형식을 강력 추천합니다. 학생들이 도전을 사랑하게 되도록 세심하게 설계되어 있기 때문입니다. 이런 방식은 지금껏 없었습니다. 모든 시간은 미국 동부 표준 시간대를 기준으로 하며, 11월 6일 일요일부터 미국 일광 절약 시간 조정에 따릅니다.

Algebra Tools 아이콘
일 12:30am–2:00 from 2/2

Algebra Tools(Module 3)

보기$599

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.