Written Topics for 20222023
 All symbolic manipulators, including HP's and the TINspire CAS, are
prohibited for the freshmen and sophomore levels at all meets.
 Laptops, PDAs, phones, and other noncalculating devices are not allowed.
Freshmen

Basic Statistics:
Measures of central tendency (mean, median, and mode), histograms, boxandwhisker plots, stem and leaf plots, range, interquartile range (IQR), potential outliers. No variance. No standard deviation. No comparison of sample and population means. (Resource: Sections 1.3 and 2.12.5 in the text OpenStax: https://openstax.org/details/books/introductorystatistics). (202021)

Counting Basics and Simple Probability:
Includes tree type problems, combinations, and permutations, with the emphasis on organized thinking, not using formulas. (202122)

NO CALCULATOR.
Number Bases:
Including conversion and computation in different bases (bases from 2 to 16); finding the base given some information. (202122)

NO CALCULATOR.
Number Theory and Divisibility:
May include patterns (such as trailing zeros), factors, primes, divisibility rules, unique factorization, LCM, GCD, and their relationships. (202122)
Sophomores

Quadratic Functions:
Includes domain, ranges, inverse, composition, quadratic formula, graphs of quadratic functions, max and min values, and applications. (So 200405, Fr 201617, Fr 201718)

Geometric Probability:
Emphasis on the concept of geometric probability rather than on difficult geometry problems. Students are not required to have a comprehensive knowledge of geometry. UMAP module 660 is a good source, as is HIMAP module 11. (202122)

NO CALCULATOR.
Similarity:
The standard geometric treatment including perimeter, area, and volume relationships, conditions determining similarity, similarity in right triangles and polygons. It may include a few proportion theorems that are not specifically similarity, such as the angle bisector theorem. (202021)

NO CALCULATOR.
Circles:
Standard material including arcs, area, angles, power theorems, inscribed and circumscribed polygons, sectors and segments. Does not include trig nor equations of circles. (202021)
Juniors

Algebraic Coordinate Geometry Including Circles:
Includes distance, midpoint, slope, parallel, perpendicular, equations of lines, simple area and perimeter, applications, and equations of circles. Coordinates are included. No trig. (201718)

Probability:
The standard treatment of probability. It may include combinations, permutations, mutually exclusive events, dependent and independent events, and conditional probability. Does not include binomial distribution nor expected value. (202122)

NO CALCULATOR.
Modular Arithmetic:
May include arithmetic operations in different moduli, divisibility, solving simple linear congruences in one or two variables, Fermat’s Little Theorem, Wilson’s Theorem, and Chinese Remainder Theorem. (202021)

NO CALCULATOR.
Conics:
Including locus definitions, eccentricity, directrix, and area of an ellipse. No parametrics, no polar, and no rotations. (Jr 197980, Sr 202122)
Seniors

Applications of Matrices and Markov Chains:
includes solving large systems of equations, using matrix inverses and using transition matrices (aka Markov Chains). Does not include geometric transformations. (Jr 201415, Sr 200708). Source: "Finite Mathematics for Managerial, Life, and Social Sciences", Tan, Sections 9.19.3. ISBN: 9781285464657. Reportedly this is the ICTM orals source from 2018. Includes: regular Markov chain, steadystate distribution vector, absorbing states.

Probability:
May include combinations, permutations, mutually exclusive events, dependent and independent events, conditional probability, Bayes’ Theorem, binomial distribution, expected value, and geometric probability. (202122)

NO CALCULATOR.
Linear Diophantine Equations:
May include linear Diophantine Equations, systems of linear Diophantine Equations, and contextual problems. (201819)

NO CALCULATOR.
Sequences and Series:
Including, but not restricted to, sequences and series defined by recursion, iteration, or pattern; may include arithmetic, geometric, telescoping, alternating, and harmonic sequences and series. No calculus. (202021)