LIVE 7: Introduction
Sa 12–1am from 3/19 (Your Time*)
This LIVE course contains a total of 20 hours of live video instruction (~$20/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 a 1:13 staff to student ratio, with a maximum of 40 students.
* The official meeting time for this course is 8:00pm in New York.
Diagnostic Tests:
Calendar
Classes will meet on the highlighted dates. Click on any date to view the topics for that day.
Color Key:
Lesson on new topic
Discuss exam assigned for homework
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
Geometry: areas of plane figures; congruent triangles; Pythagorean Theorem
Day 2
Algebra; Geometry; Number Theory: area and volume of 3-D solids; prime numbers; prime factorization; systems of equations; transforming equations; square roots
Day 3
Combinatorics: permutations; exclusion; complementary counting
Day 4
Probability: counting; permutations; symmetry
Day 5
Logic; Algebra; Statistics: equations in one variable; arithmetic series; the substitution method; average; word problems
Day 6
Geometry: volume; similar figures; ratio and proportion; proportional lengths
Day 7
Number Theory: least common multiple; prime numbers; unique factorization
Day 8
Combinatorics: combinations; binomial coefficient identities; the multiplication principle
Day 9
Algebra: rate-time-distance problems; problem-solving using diagrams
Day 10
Geometry: circumference of a circle; irrational numbers; the distributive property; using equations to solve problems
Day 11
Probability: percents with applications; decimals; conditional probability; sets; total probability; equations in one variable
Day 12
Number Theory: word problems; parity; number of factors; prime factorization
Day 13
Geometry: angles of a polygon; sum of angles of a polygon; properties of parallel lines; interior and exterior angles;
Day 14
Algebra: reciprocals; sequences and series; factoring integers; least common denominator
Day 15
Combinatorics: counting; permutations; problem-solving using diagrams; linear recurrence relations; Fibonacci sequences
Day 16
Number Theory: Integers modulo m; square numbers; number sense techniques; variables
Co-Stars
MEGAN DAVI
National MATHCOUNTS competitor for Nevada • MPFG qualifier • Plays violin and speaks Spanish
Click for more
MAGGIE LIN
MIT Class of 2026 • Co-Head of INTEGIRLS St. Louis/Missouri Chapter • Attended PROMYS • Played tennis for 10 years
Click for more