MTTC Mathematics (Secondary) (022) study guide
MTTC Mathematics (Secondary) (022) · Work through your exam, one topic at a time.
The MTTC Mathematics (Secondary) (022) is a Michigan teacher certification subject test for the Mathematics (Secondary) (EX) endorsement. According to the official MTTC test page, it is a computer-based test made up of 80 multiple-choice questions. The MTTC Mathematics (Secondary) (022) study guide has 5 sections and about 1,207 words.
01Mathematical Processes and Number Concepts
Candidates must move fluently among natural, integer, rational, real, and complex numbers and justify properties such as closure, commutativity, associativity, distributivity, identities, and inverses. Know divisibility tests, prime factorization, greatest common divisor and least common multiple, and the Euclidean algorithm.
259 words, about 1 min02Patterns, Algebraic Relationships, and Functions
Candidates must connect symbolic, graphical, tabular, and verbal forms of linear, quadratic, polynomial, rational, radical, exponential, logarithmic, and piecewise functions. Know domain and range restrictions, intercepts, slope and average rate of change, end behavior, asymptotes, transformations, composition, and inverses.
249 words, about 1 min03Measurement and Geometry
Know perimeter, area, surface area, and volume formulas; angle relationships; congruence and similarity; triangle theorems, including the Pythagorean theorem, triangle inequality, and exterior angle theorem; circle theorems, including inscribed angle, tangent-radius, and chord relationships; and coordinate geometry, including distance, midpoint, slope, and transformations. Use units consistently and distinguish exact from approximate values.
241 words, about 1 min04Data Analysis, Statistics, Probability, and Discrete Mathematics
Candidates must summarize data using mean, median, mode, range, interquartile range, and standard deviation; interpret histograms, boxplots, and scatterplots; compute and interpret z-scores and the empirical rule; and recognize sampling bias. For probability, know sample spaces, addition and multiplication rules, conditional probability, independence, expected value, and complements.
218 words, about 1 min05Trigonometry and Calculus
Know the unit circle, radian measure, graphs and transformations of sine, cosine, and tangent, restricted domains of inverse trigonometric functions, and identities, including Pythagorean, sum and difference, and double-angle identities. Solve triangles with the law of sines, law of cosines, and area = ½ab sin C.
240 words, about 1 min