Lessons
A week-by-week course in three strands: algebra and number theory, geometry, and combinatorics.
Starts at middle-school arithmetic: number sense and first algebra, plane geometry, and systematic counting. Take the weeks in order.
The printable handouts are still being written. Each one will appear on its row here when it is ready. The week-by-week topics below are set, so you can work through them in order now.
AMC 8 syllabus
2026The term plan: which topic each week covers, and the order to take them in.
- Week 1
Ratios, Rates, and Proportions
Setting up proportions, part-to-part and part-to-whole ratios, unit rates, scaling, and three-term ratios like 2 : 3 : 5.
Not published yet - Week 2
Percents and Percent Change
Percents as multipliers, successive discounts and markups, and reversing a percent change to get the original amount.
Not published yet - Week 3
Averages and Weighted Averages
The mean as a total, missing values, how adding or removing a term shifts the average, and weighted averages in mixture problems.
Not published yet - Week 4
Linear Equations and Word Problems
Turning a sentence into an equation in one unknown, then age, coin, consecutive-integer, and distance-rate-time problems.
Not published yet - Week 5
Systems of Two Equations
Substitution, elimination, and adding or subtracting the two equations to get the combination the question asks for.
Not published yet - Week 6
Divisibility Rules and Prime Factorization
Divisibility tests for 2, 3, 4, 5, 6, 8, 9, and 11, prime factorization, and counting divisors from the exponents.
Not published yet - Week 7
GCD, LCM, and Repeating Events
gcd and lcm from prime factorizations, the identity gcd(a, b) times lcm(a, b) = ab, and gear, calendar, and blinking-light cycles.
Not published yet - Week 8
Remainders and Units Digits
Remainders under addition and multiplication, the units digit of a large power from its repeating cycle, and remainders modulo several divisors.
Not published yet