If you need help studying for the FTCE Mathematics 6-12 test or just want some more information about what the test is like, you’ve come to the right place!
Click below to take a free FTCE Mathematics 6-12 practice test!
What’s on the Test?
The FTCE Mathematics 6-12 test contains 50 multiple-choice questions and is timed at 2.5 hours.
The exam is split into six competencies:
1. Number Sense, Operations, and Proportionality
8% of the exam
- Converting between rational numbers represented in various ways
- Performing operations with rational numbers
- Using estimates and algorithms
- Multi-step expressions
- Representing real number approximations with scientific notation
- Problems involving ratios and proportion
2. Algebra
19% of the exam
- Generating equivalent expressions
- Evaluating whether a relationship is a function
- Types of functions
- Solving equivalent algebraic expressions
- Slopes and intercepts of a linear function
- Absolute value and quadratic inequalities
- Systems of linear equations and inequalities
- Interpreting x-intercepts, y-intercepts, vertices, and lines of symmetry
- Solving quadratic equations over the real and complex number systems
- Graphical representations of exponential growth and decay
- Determining the inverse of a given function
3. Geometry and Trigonometry
28% of the exam
- Classify various shapes and solids
- Properties of angles
- The Triangle Sum Theorem
- Proving congruency or similarity between triangles
- Applying translations, reflections, rotations, and scaling
- Identifying the shapes of 2D cross sections of 3D figures
- Solving problems involving proportional relationships between similar 2D and 3D figures
- Perimeter, circumference, and area
- Justifying geometric constructions
- Solving problems involving the lengths and intersection angles of secants, chords, and tangent segments
- Equations and graphs representing a conic section on a coordinate plane
- Using trigonometric ratios
- The law of sines and cosines
- Converting between rectangular and polar coordinates
- Applying parametric equations to model problems involving motion in the plane
- Interpreting the language of logic
4. Data Analysis, Statistics, and Probability
19% of the exam
- Appropriate measures of central tendency
- Applying the mean and standard deviation of a numerical set of data
- Identifying displays for univariate numerical and categorical dataDetermining population total, mean, and percentages
- The properties of correlations in bivariate data displayed in scatter plots and 2-way frequency tables
- Determining the probabilities of events in experiments
- Analyzing 2-way frequency tables and relative frequency tables
- Determining an appropriate sample space for a simple experiment
- Comparing experimental and theoretical probabilities
- Calculating the expected value and standard deviation of a random variable
5. Precalculus and Calculus
16% of the exam
- Solving problems involving quantities that can be represented by vectors
- Solving problems using exponential and logarithmic functions and equations
- The Fundamental Theorem of Algebra
- The Factor Theorem
- Applying arithmetic and geometric sequences
- Determining limits using theorems pertaining to sums, products, and quotients of functions
- Applying definite integrals to solve problems involving distance, volume, and area
- Calculating binomial expansions to a positive integral power
6. Student Reasoning and Instructional Practice
10% of the exam
- Facilitating instruction in using mathematical concepts and procedures with fluency
- Identifying opportunities for students to evaluate reasonableness of their results
- Identifying patterns to make connections between mathematical and real-world problems
- Selecting appropriate mathematical representations and instructional tools
- Analyzing learning progressions
- Interpreting individual student mathematics assessment data
- Analyzing mathematical misconceptions, errors, and knowledge gaps
How to Register
To get started with the registration process, you’ll need to create an FTCE/FELE account on their website. You can then register for the exam via your account.
The testing fee is $150.
FTCE Mathematics 6-12 Study Guide and Flashcards
Get practice questions, detailed study lessons, and complex subjects broken down into easily understandable concepts.
How the Exam is Scored
The FTCE Mathematics 6-12 test is scored using a scaled scoring method. Here’s how it works:
For every question you answer correctly, you get one point added to your raw score. At the end of the test, your final raw score will be converted to a scaled score. You’ll need a scaled score of at least 200 to pass the exam.
The reason your raw score is converted to a scaled score is because everyone that takes the test is given a slightly different set of questions. Since everyone has a different arrangement of questions, and because some questions are harder than others, converting your raw score to a scaled score ensures a more even playing field.
FAQs
How many questions are on the FTCE Mathematics 6-12 exam?
The exam contains 50 questions.
What is the time limit for the FTCE Mathematics 6-12 exam?
The exam is timed at 2.5 hours.
What is the passing score for the FTCE Mathematics 6-12 exam?
You’ll need to get a final scaled score of at least 200 to pass.
How much does the FTCE Mathematics 6-12 exam cost?
The testing fee is $150.