Academics · Grades 6–7
Introductory Counting & Probability
A term on counting and probability—the mathematics where the answer depends on how you organize the question.
Course overview
- Homework: 60 minutes a week
- Prerequisite: Math Olympiad 6, or placement
What you’ll learn
Mental Math
The exponent laws to instant recall—multiplying and dividing powers, a power of a power, fractional exponents as roots—and small combinations by hand.
Skill Builder
Counting integers, evens, multiples and squares within a range; terms in an arithmetic sequence; and counting a number’s factors from its prime factorization.
Problem Solving
Handshakes, Venn diagrams, the Mississippi method for repeated letters, casework, and knowing when a problem wants a permutation and when a combination.
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Is this the right level?
A student in the olympiad sequence who wants one topic taken well past the usual depth. New to Ardent? A short placement confirms the fit. Schedule a placement →