AEPA Mathematics (NT304) study guide
AEPA Mathematics (NT304) · Work through your exam, one topic at a time.
The AEPA Mathematics test (test code NT304) is one of the Arizona Educator Proficiency Assessments, the testing program Arizona uses for educator certification. It appears in the AEPA test table under "Knowledge Tests" as "NT304 Mathematics," which places it among the subject-knowledge assessments rather than the professional-knowledge, administrator, or special education tests. Candidates typically take it when seeking a mathematics teaching credential, though the specific certificate each test supports depends on certification type; the AEPA program directs candidates to confirm which tests their certificate requires before registering. The exam is organized around four equally weighted content domains: Mathematical Processes and Number Sense; Patterns, Algebra, and Functions; Measurement and Geometry; and Statistics, Probability, and Discrete Mathematics. The AEPA Mathematics (NT304) study guide has 4 sections and about 1,109 words.
01Mathematical Processes and Number Sense
Number sense on this exam means fluency with the real number system and the operations on it, plus the reasoning habits that let you check whether an answer is plausible. Be solid on place value and scientific notation, the hierarchy of operations, integer and rational arithmetic, factors/multiples, primes, GCF and LCM, divisibility rules, and the distinction between rational and irrational numbers.
301 words, about 2 min02Patterns, Algebra, and Functions
Expect linear and quadratic relationships, slope and intercepts, systems of equations, inequalities, and function notation. You should also handle arithmetic and geometric sequences, direct and inverse variation, and translating word problems into equations.
264 words, about 1 min03Measurement and Geometry
Cover perimeter, area, surface area, and volume for standard figures, unit conversion within and across systems, angle relationships (complementary, supplementary, vertical, parallel-line transversals), triangle properties, the Pythagorean theorem, similarity and congruence, and coordinate geometry (distance, midpoint, transformations). Circle formulas - circumference C = 2 r , area A = r^2 - appear frequently.
284 words, about 1 min04Statistics, Probability, and Discrete Mathematics
Statistics: measures of center (mean, median, mode), spread (range, interquartile range, standard deviation conceptually), reading and interpreting data displays (histograms, box plots, scatterplots), and the effect of outliers on the mean versus the median. Probability: sample spaces, counting principles, independent vs.
260 words, about 1 min