- Exam Overview and Format
- Domain 1: Number Sense, Operations, and Proportionality
- Domain 2: Algebra
- Domain 3: Geometry and Trigonometry
- Domain 4: Data Analysis, Statistics, and Probability
- Domain 5: Precalculus and Calculus
- Domain 6: Student Reasoning and Instructional Practice
- How the Domains Compare
- Mapping a Study Plan to the Domains
- Frequently Asked Questions
- Geometry and Trigonometry is the largest domain at 28% and should anchor your study calendar.
- Algebra and Data Analysis, Statistics, and Probability tie for second place at 19% each.
- The exam is about 50 multiple-choice items in 2 hours 30 minutes, computer-based, with an on-screen calculator only.
- Domain 6 tests pedagogy and student reasoning, not just content knowledge - it's worth 10%.
Exam Overview and Format
The FTCE Mathematics 6-12 (026) exam is a Florida Subject Area Examination governed by the Florida Department of Education and developed and administered by Pearson Evaluation Systems (NES). It is delivered as a computer-based test at centers across Florida and nationwide, and candidates sit for roughly 50 multiple-choice questions within a 2-hour-30-minute window. Some forms include unscored field-test items mixed in without any indication of which ones they are, so every question deserves full effort regardless of how it "feels."
Registration costs $150 for the first attempt and $150 for each retake, and there is no prerequisite exam or coursework needed just to register - though the certification itself later requires a bachelor's degree and subject-area coursework. A scaled score of at least 200 is required to pass, and because every form is equated for difficulty there's no single fixed raw-score cutoff; Florida's published maximum-percentage table places the ceiling at roughly 67% of questions correct. For a deeper breakdown of what that score actually means, see our dedicated FTCE Math 6-12 (026) Passing Score guide.
The current competencies and skills were adopted by the State Board of Education in October 2022 and are published in the Competencies and Skills Required for Teacher Certification in Florida, Twenty-Eighth Edition. That document breaks the exam into six knowledge domains, and understanding how much weight each one carries is the single most useful planning tool you can use before you open a study guide.
Domain 1: Number Sense, Operations, and Proportionality (8%)
This is the smallest domain by weight, but it underlies almost everything else on the test. Expect items on the structure of the real number system, properties of operations, ratio and proportional reasoning, unit conversion, estimation strategies, and number theory concepts like divisibility and factors.
What to Master
Because this domain is only 8%, treat it as a quick-review area rather than a deep study block - but don't skip it, since proportional reasoning shows up again inside algebra and geometry items.
- Ratios, rates, and scaling problems across contexts
- Order of operations and properties (associative, distributive, etc.) applied to unusual expressions
- Estimation and reasonableness checks for multi-step word problems
Domain 2: Algebra (19%)
Tied for second-heaviest domain, Algebra covers linear and nonlinear equations and inequalities, systems of equations, polynomial operations and factoring, rational expressions, function notation and transformations, and exponential and logarithmic relationships. Questions frequently ask you to interpret a function's behavior from a graph, table, or context rather than just solve for x.
High-Yield Topics
- Solving and graphing systems of linear and nonlinear equations
- Function composition, inverses, and transformations
- Exponential growth/decay and logarithmic properties
- Polynomial division, factoring, and the Remainder/Factor theorems
Because Algebra ties Data Analysis for second place in weighting, it's worth building real fluency here rather than relying on recognition alone - the exam often layers algebraic manipulation inside geometry or precalculus items.
Domain 3: Geometry and Trigonometry (28%)
This is, by a wide margin, the domain you should prioritize. At 28% of the exam, Geometry and Trigonometry alone accounts for more than a quarter of all scored questions, and it spans an unusually broad range of subtopics.
Subtopics You Must Know Cold
- Classification of two- and three-dimensional figures and formal congruence/similarity proofs
- Coordinate geometry: distance, midpoint, slope-based proofs
- Circles, arcs, and conic sections (parabolas, ellipses, hyperbolas)
- Right-triangle trigonometry and the unit circle
- Law of Sines and Law of Cosines applications
- Polar and parametric representations
- Formal logic - conditional statements, converses, biconditionals, and valid argument forms
Key Takeaway
Because Geometry and Trigonometry is worth nearly three times as much as Number Sense, allocate roughly a third of your total review time here - and don't neglect formal logic, which candidates often underestimate.
If you're still calibrating how demanding this section feels relative to the rest of the exam, our FTCE Math 6-12 (026) difficulty guide walks through where most candidates lose points.
Domain 4: Data Analysis, Statistics, and Probability (19%)
Tied with Algebra at 19%, this domain tests measures of center and spread, distributions and their shapes, correlation versus causation, regression and line-of-best-fit interpretation, probability rules (independent/dependent events, conditional probability), and basic experimental and sampling design.
What Trips Candidates Up
- Distinguishing sampling methods and identifying bias in study design
- Interpreting scatterplots and residuals rather than just calculating a correlation coefficient
- Combinatorics-based probability problems (permutations vs. combinations)
Domain 5: Precalculus and Calculus (16%)
At 16%, this domain bridges algebra/trig content into calculus reasoning. Expect items on sequences and series, limits and continuity, derivatives as rates of change, basic integration, and analyzing function behavior (increasing/decreasing intervals, concavity, asymptotes).
Core Skills
- Evaluating limits algebraically and graphically
- Applying derivative rules to find slopes, extrema, and rates of change
- Connecting the Fundamental Theorem of Calculus to area-under-a-curve problems
- Working with arithmetic and geometric sequences and series
Domain 6: Student Reasoning and Instructional Practice (10%)
This domain is different in character from the first five - it's not about your own math fluency but about how you interpret student thinking and choose instructional responses. Expect scenario-based items describing a student's error or a classroom situation, asking you to identify the misconception or select the most effective instructional move.
How This Domain Is Tested
- Analyzing a student's incorrect work to identify the underlying misconception
- Choosing representations (models, manipulatives, multiple methods) that best address a specific gap
- Recognizing developmentally appropriate sequencing of mathematical concepts
Because this domain draws on pedagogy rather than pure content, it rewards a different kind of preparation than flashcards - reviewing sample scenarios and practicing "why is this wrong" reasoning pays off more than memorization.
How the Domains Compare
| Domain | Weight | Study Priority |
|---|---|---|
| Geometry and Trigonometry | 28% | Highest |
| Algebra | 19% | High |
| Data Analysis, Statistics, and Probability | 19% | High |
| Precalculus and Calculus | 16% | Moderate-High |
| Student Reasoning and Instructional Practice | 10% | Moderate |
| Number Sense, Operations, and Proportionality | 8% | Lower (but foundational) |
Notice that the top three domains - Geometry and Trigonometry, Algebra, and Data Analysis - together make up two-thirds of the entire exam. If your study time is limited, that's where it should go first.
Mapping a Study Plan to the Domains
Rather than studying topics in the order they appear in a textbook, sequence your review by domain weight. A short spaced-repetition cycle works well here: review the heaviest domain early and often, then rotate lighter domains in shorter bursts so they stay fresh without eating time from Geometry and Trigonometry.
Geometry and Trigonometry
- Congruence/similarity proofs and coordinate geometry
- Circles, conics, and unit-circle trig
- Law of Sines/Cosines and polar/parametric forms
Algebra
- Functions, systems, and polynomial factoring
- Exponential and logarithmic relationships
Data Analysis, Statistics, and Probability
- Distributions, regression, and sampling design
- Probability rules and combinatorics
Precalculus/Calculus + Number Sense
- Limits, derivatives, and sequences/series
- Quick review of ratios, proportionality, and number theory
Student Reasoning and Instructional Practice + Full Review
- Practice scenario-based misconception items
- Timed full-length practice sessions
For a more detailed week-by-week breakdown with pacing benchmarks, check out the full FTCE Math 6-12 (026) Study Guide. And once you've reviewed each domain, running full-length timed sets on our FTCE Math 6-12 (026) practice test platform is the best way to confirm the pacing actually works under exam conditions.
Frequently Asked Questions
Start with Geometry and Trigonometry since it's worth 28% of the exam - nearly three times the weight of Number Sense, Operations, and Proportionality. Algebra and Data Analysis, Statistics, and Probability come next at 19% each.
Yes, but only the on-screen scientific calculator supplied at the test center. Personal calculators, including graphing models, are not permitted.
The exam is approximately 50 multiple-choice questions administered over 2 hours and 30 minutes. Time is not formally allocated by domain, but since Geometry and Trigonometry is 28% of the content, expect a proportionally larger share of items from that area.
No. Domain 6, Student Reasoning and Instructional Practice, is tested through scenario-based multiple-choice items about student misconceptions and instructional choices - it draws on coursework and preparation rather than requiring prior classroom experience.
You need a scaled score of at least 200. There's no separate passing threshold per domain - your performance across all six areas combines into one overall scaled score, weighted according to each domain's percentage of the exam.
Understanding exactly how these six domains are weighted turns a vague "study everything" plan into a targeted one. If you want the full picture of how domain weighting fits into registration, fees, and scheduling, our exam dates and scheduling guide and certification cost breakdown cover the logistics side, while the main practice test hub lets you drill each domain individually before you sit for the real thing.