Mathematics
What the math EOC tests
Ohio's Mathematics end-of-course tests cover Algebra I, Geometry, Algebra II, and integrated Math I/II. They reward both procedural fluency and conceptual understanding: you must solve, model, justify, and interpret results in context. Expect multiple-choice, short-answer, and multi-step items.
Core rules by course
- Algebra: solve linear, quadratic, and exponential equations; solve systems; interpret slope as a rate and intercepts as starting values; connect equations, tables, and graphs.
- Geometry: prove congruence with transformations; use similarity and right-triangle trigonometry; apply circle theorems; compute area and volume; justify with coordinates.
- Functions: describe domain and range, transformations, and key features such as zeros, vertices, and asymptotes.
- Statistics: distinguish association from causation; read two-way tables and scatterplots.
- Show units and check whether an answer is reasonable.
Worked example
Solve the system: 2x + 3y = 12 and x - y = 1. From the second equation, x = y + 1. Substitute: 2(y + 1) + 3y = 12, so 2y + 2 + 3y = 12, then 5y = 10, so y = 2. Then x = 2 + 1 = 3. Check in the first equation: 2(3) + 3(2) = 6 + 6 = 12. The solution is (3, 2). The reasoning matters: substitution works because one equation is easily solved for x.
Traps that cost marks
- Dropping a negative sign when distributing.
- Confusing correlation with causation.
- Rounding too early, then reporting a distorted final value.
- Forgetting to reject extraneous solutions after squaring.
- Giving an answer with no units or context.