OSAT Advanced Mathematics (211) study guide
OSAT Advanced Mathematics (211) · Work through your exam, one topic at a time.
OSAT Advanced Mathematics (211) is a subject-area certification assessment within Oklahoma's Oklahoma Subject Area Tests program. It is intended for candidates who want a teaching field in advanced secondary mathematics - the coursework above Algebra II, such as trigonometry, precalculus, calculus, and statistics - as distinct from the broader secondary mathematics field. The OSAT Advanced Mathematics (211) study guide has 8 sections and about 2,397 words.
01Mathematical Processes and Problem Solving
The Mathematical Processes and Problem Solving domain assesses deductive reasoning, proof, representation, and the deliberate use of problem-solving strategies. Questions ask you to justify a claim, identify the logical structure of an argument, or select a valid approach rather than merely obtain a number.
337 words, about 2 min02Number Systems and Quantity
The Number Systems and Quantity domain covers the structure and properties of number systems, number-theoretic reasoning, and quantitative reasoning with units and precision. The counting numbers sit inside the integers, which sit inside the rationals, then the reals, then the complex numbers.
342 words, about 2 min03Algebra and Functions
The Algebra and Functions domain tests function behavior, transformations, inverses, and the algebraic families that model change: polynomial, rational, exponential, and logarithmic. A function assigns exactly one output per input.
300 words, about 2 min04Geometry and Measurement
The Geometry and Measurement domain covers Euclidean reasoning, coordinate geometry, transformations, and measurement of two- and three-dimensional figures. Triangles are congruent by SSS, SAS, ASA, and AAS; SSA is not a congruence criterion.
290 words, about 1 min05Trigonometry
The Trigonometry domain tests the unit circle, identities, graphs, and triangle-solving techniques. On the unit circle the coordinates are (cos θ, sin θ), so sin²θ + cos²θ = 1 and tan θ = sin θ/cos θ.
292 words, about 1 min06Calculus
The Calculus domain examines limits, continuity, derivatives, and integrals, emphasizing conceptual meaning and standard applications. A limit exists when the left- and right-hand limits agree.
285 words, about 1 min07Probability and Statistics
The Probability and Statistics domain covers probability rules, counting, distributions, descriptive statistics, and the logic of inference. 0 ≤ P(A) ≤ 1, P(Aᶜ) = 1 − P(A), and P(A ∪ B) = P(A) + P(B) − P(A ∩ B).
288 words, about 1 min08Mathematical Modeling and Applications
The Mathematical Modeling and Applications domain tests the full modeling cycle: translating a real situation into mathematics, computing, interpreting results in context, and judging whether the model is reasonable. Formulate by defining variables and stating assumptions; compute with an appropriate model; interpret each parameter and output in the original units; validate against data or reasonableness.
263 words, about 1 min