LIVE 152: Algebra Tools
Su 12:30–1:45am from 11/10 (Your Time*)
This LIVE course contains a total of 25 hours of live video instruction (~$21/hour), plus 1 year of access to Prof. Loh's recorded videos from this course.
We’ve carefully designed our courses to maximize engagement. Each of our LIVE classrooms has at least one staff member for every 13 students. The typical class size is around 30 students.
* The official meeting time for this course is 8:30am in China.
Diagnostic Tests:
Calendar
Classes will meet on the highlighted dates. Click on any date to view the topics for that day.
Color Key:
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Discuss homework challenge
Reviews
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
this is so good it is not boring and very engaging
It’s great, I can understand and I am learning new ways of solving this question.
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.
AMAZING
The class is going super smoothly and nicely. I can follow along easily and the teachers are all really nice.
It's good, everything make sense
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!
VERY GOOD AND INTERESTING!!!!!!
Syllabus
The 20 course meetings are split in 16 lessons (called Day 1 through Day 16 below), and 4 homework exam discussions. Each exam discussion meeting happens after 4 lessons.
Day 1
Percentage problems; decimals; ratios; difference of squares; distributive property; patterns in squares; exponents; scientific notation; estimation; expressions with two variables; multiplying binomials; special numbers
Day 2
Interpreting word problems using algebraic expressions; number patterns; solving linear equations in two variables; integer equations; distributive property
Day 3
Functions; averages; applications of variable expressions; order of operations; distributive property; simplifying expressions; rational functions; reciprocals; inverse functions
Day 4
Sequences; algebraic methods and Fibonacci sequence; linear equations in one variable; rational expressions; functions; rational numbers and their decimal representations
Day 5
Arithmetic and geometric sequences and their sums; averages; parity; prime factorization; divisibility; negative integers; sum of powers of 2; common ratio
Day 6
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
Day 7
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
Day 8
Repeating decimals derived from geometric sequences and fractional form of; linear equations in one variable; sum of a convergent geometric sequence
Day 9
Word problems; systems of linear equations in two variables; substitution method; rational equations; reciprocals; change of variables; averages; number line
Day 10
Linear equations in three variables; substitution method; adding and subtracting equations; symmetry
Day 11
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
Day 12
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
Day 13
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
Day 14
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
Day 15
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
Day 16
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