CSET Mathematics (211/212/213) study guide
CSET Mathematics (211/212/213) · Work through your exam, one topic at a time.
The CSET Mathematics exam is used by the California Commission on Teacher Credentialing (CTC) to verify subject-matter competence for prospective mathematics teachers. It is intended for candidates seeking a Single Subject Teaching Credential in Mathematics, and it is typically taken alongside or after a teacher preparation program. The CSET Mathematics (211/212/213) study guide has 7 sections and about 2,837 words.
01Number and Quantity (Subtest I)
The Number and Quantity domain tests how fluently you move among N ⊂ Z ⊂ Q ⊂ R ⊂ C and how well you justify properties rather than merely compute. Expect questions on field axioms (closure, commutativity, associativity, identities, inverses, distributivity), order properties of the reals, absolute value and distance, and the density of the rationals.
412 words, about 2 min02Algebra (Subtest I)
Algebra on Subtest I emphasizes structure: domain and range, composition, inverses, and families of functions (polynomial, rational, radical, exponential, logarithmic, trigonometric). A function has an inverse only if it is one-to-one; restrict the domain when necessary.
423 words, about 2 min03Geometry (Subtest II)
Geometry on Subtest II rewards precise theorem use. Triangle congruence criteria are SSS, SAS, ASA, AAS, and HL (right triangles only); SSA is not valid.
408 words, about 2 min04Probability and Statistics (Subtest II)
Probability and Statistics on Subtest II tests counting, probability models, and inference. Distinguish permutations (order matters, nPr = n!/(n−r)!) from combinations (order ignored, nCr = n!/(r!(n−r)!)).
371 words, about 2 min05Calculus (Subtest III)
Calculus on Subtest III spans limits, differentiation, integration, and series. A limit exists when the left- and right-hand limits agree; continuity at a requires f(a) defined, the limit existing, and the two being equal.
379 words, about 2 min06History of Mathematics (Subtest III)
The History of Mathematics domain tests how mathematical ideas developed, not just who is credited. Babylonian mathematics used a sexagesimal (base-60) system, whose influence survives in 60-minute hours and 360-degree circles.
413 words, about 2 min07Methodology of Mathematics (Subtest III)
The Methodology domain tests how mathematics is taught, learned, and applied. Polya's four phases-understand the problem, devise a plan, carry out the plan, and look back-remain the standard framework.
431 words, about 2 min