AEPA Mathematics (NT304) case studies
AEPA Mathematics (NT304) · Put your knowledge to work in context.
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. The AEPA Mathematics (NT304) case studies are 5 cases and about 1,982 words.
1Diagnosing a Misapplied Proportional Strategy
One student, Dana, writes 3/5 = 12/20 but then claims the answer is 20/12 ≈ 1.67 cups, explaining that "flour is smaller than milk, so the milk amount should be smaller than the flour amount." On a follow-up item-"5 workers build a wall in 8 days; how long for 10 workers?"-Dana computes 16 days. The teacher is deciding whether Dana's errors share a common root or are separate mistakes, and what single instructional move would address both.
485 words, about 2 min2Choosing a Measure of Center Under Skew
A statistics class analyzes the salaries of 11 employees at a small company: one owner earns 400,000; ten employees earn between 32,000 and 48,000. The mean salary is about 80,000; the median is 40,000.
441 words, about 2 min3Is the Pattern a Function? Domain, Range, and a Trap
Students are given a relation defined by a table and asked whether it is a function, then to describe its domain and range. The relation pairs each student in a 4-person group with the number of pets they own: Ana→2, Ben→2, Cara→0, Dev→2.
361 words, about 2 min4Area and Perimeter Under Scaling
A class designs rectangular garden plots on grid paper. Plot A is 4 cm by 9 cm; Plot B is 8 cm by 18 cm (each side doubled).
364 words, about 2 min5Counting Without Double-Counting: Inclusion–Exclusion
A club of 30 students is surveyed about activities. Results: 18 play a sport, 12 play an instrument, and 6 do both.
331 words, about 2 min