FTCE Mathematics 6-12 study guide
FTCE Mathematics 6-12 · Work through your exam, one topic at a time.
The FTCE Mathematics 6–12 examination, identified in the Florida test catalog as Mathematics 6–12 (026), is one of the subject-area certification tests in the Florida Teacher Certification Examinations program. It is intended for candidates seeking certification to teach mathematics at the secondary level in Florida public schools, and it is one of many tests listed alongside Middle Grades Mathematics 5–9 (025), Elementary Education K–6 (060), and other subject fields in the FTCE/FELE catalog. The FTCE Mathematics 6-12 study guide has 7 sections and about 1,829 words.
01Number Sense, Concepts, and Operations
This domain rewards fluency with the real number system and the properties that govern operations on it. You should be able to classify numbers (natural, whole, integer, rational, irrational, real, complex), convert between fractions, decimals, and percents, and reason about prime factorization, GCF, LCM, and divisibility.
267 words, about 1 min02Algebraic Thinking and Applications
Expect heavy coverage of manipulating expressions and solving equations and inequalities. Key concepts: polynomial operations and factoring (GCF, difference of squares, trinomials, grouping), rational expressions and their domain restrictions, radical equations, and systems of equations.
266 words, about 1 min03Functions and Their Graphs
This domain tests function concepts: domain and range, function notation, composition, inverses, and transformations, plus the behavior of families-linear, quadratic, polynomial, rational, exponential, and logarithmic. You must connect algebraic form to graphical features: intercepts, vertex, asymptotes, end behavior, and symmetry.
259 words, about 1 min04Geometry and Measurement
This domain spans plane and solid geometry: angle relationships, triangle congruence and similarity, the Pythagorean theorem, circle properties, area and volume formulas, and coordinate geometry. You should be comfortable with proofs and with converting between units, including dimensional analysis.
262 words, about 1 min05Trigonometry
Trigonometry connects angles, triangles, and periodic functions. Master right-triangle ratios (SOH-CAH-TOA), the unit circle, radian-degree conversion, the graphs of sine, cosine, and tangent with their amplitude, period, and phase shifts, and the fundamental identities.
273 words, about 1 min06Statistics, Probability, and Data Analysis
This domain covers descriptive statistics (mean, median, mode, range, standard deviation, quartiles, outliers), data displays (histograms, box plots, scatterplots), sampling and study design, and probability including conditional probability, independence, and counting. You should interpret center, spread, and shape, and distinguish correlation from causation.
254 words, about 1 min07Calculus and Discrete Mathematics
This domain blends introductory calculus-limits, continuity, derivatives, and basic integration concepts-with discrete topics: sequences and series, the binomial theorem, combinatorics, and logic. You should understand limits intuitively and algebraically, interpret the derivative as a rate of change and slope of the tangent line, and recognize arithmetic versus geometric sequences.
248 words, about 1 min