UAE TLS Mathematics Test study guide
UAE TLS Mathematics Test · Work through your exam, one topic at a time.
The UAE Teacher Licensure System (TLS) Mathematics Test is a subject-specific licensure examination for teachers who intend to teach mathematics in schools in the United Arab Emirates. It sits within the wider TLS framework overseen by the country's education authorities, and it gives employers and regulators evidence that a candidate commands both the mathematics content and the teaching knowledge a classroom demands. The UAE TLS Mathematics Test study guide has 8 sections and about 2,079 words.
01Number and Operations
Candidates should move fluently among integers, fractions, decimals, percentages, ratios, radicals, and scientific notation. Know place value and rounding, divisibility tests, prime factorisation, greatest common divisor and least common multiple, order of operations, absolute value, and the laws of exponents.
268 words, about 1 min02Algebra and Functions
Candidates must solve linear equations and inequalities, systems of equations, quadratic equations, and simple polynomial, rational, exponential, and logarithmic equations. Understand function notation, domain and range, slope and intercepts, transformations, composition, and inverses.
268 words, about 1 min03Geometry and Measurement
Candidates should know angle relationships, triangle properties, congruence and similarity, the Pythagorean theorem, special right triangles, and circle theorems involving chords, tangents, arcs, and inscribed angles. Compute perimeter, area, surface area, and volume for standard and composite figures.
255 words, about 1 min04Trigonometry
Candidates need right-triangle ratios, the unit circle, degree-radian conversion, reference angles, and the graphs of sine, cosine, and tangent. Know amplitude, period, phase shift, and vertical shift.
265 words, about 1 min05Statistics and Probability
Candidates should summarise data with mean, median, mode, range, quartiles, interquartile range, and standard deviation, and choose appropriate displays. Understand populations and samples, random sampling, bias, and the difference between observational studies and experiments.
232 words, about 1 min06Pre-Calculus and Calculus
Candidates should understand functions and their behaviour, including polynomial, rational, exponential, logarithmic, and trigonometric models. Know limits, one-sided limits, continuity, and asymptotic behaviour.
264 words, about 1 min07Mathematical Reasoning and Problem Solving
Candidates should reason logically, construct and critique arguments, and choose efficient strategies. Know the meaning of converse, inverse, contrapositive, necessary condition, and sufficient condition.
264 words, about 1 min08Pedagogical Content Knowledge for Mathematics
Candidates should understand how mathematical ideas develop across grade levels and how to represent them with diagrams, symbols, tables, graphs, and manipulatives. Know common misconceptions, including whole-number bias in fractions, additive reasoning where multiplicative reasoning is needed, and overgeneralising rules.
263 words, about 1 min