UAE TLS Mathematics Test study plan

Compute fluently with fractions, decimals, ratios, and percents, including multi-step percent increase, percent decrease, and proportional-reasoning problems.

Apply order of operations, integer and rational exponent rules, and scientific notation to simplify expressions accurately without a calculator.

Translate multi-step word problems into linear equations and solve for unknown quantities, then check each answer for reasonableness and units.

Solve and graph single-variable linear inequalities, expressing solution sets in interval and inequality notation on a number line.

Solve systems of two linear equations by substitution, elimination, and graphing, classifying each system as consistent, inconsistent, or dependent.

Factor and solve quadratic equations by factoring, completing the square, and the quadratic formula, interpreting the discriminant in context.

Analyze linear and quadratic functions for domain, range, intercepts, slope, vertex, and transformations relative to the parent graph.

Construct linear and quadratic models from real-world data and justify the choice of model using rate-of-change evidence.

Compute perimeter, area, surface area, and volume for two- and three-dimensional figures, converting correctly within and between metric and customary units.

Apply the Pythagorean theorem, distance formula, and midpoint formula to solve coordinate-geometry problems involving polygons and circles.

Derive unknown angle measures using parallel-line, triangle, polygon, and circle relationships, justifying each step with the named theorem.

Classify transformations and apply congruence and similarity criteria to justify geometric claims about figures.

Solve integrated problems that combine algebraic modeling with geometric measurement, such as expressing volume or area as a function of one variable.

Interpret slope, area, and scale factor within applied contexts while converting units inside the same problem.

Diagnose and correct recurring errors carried forward from Weeks 1 through 3 by working through a written error log.

Complete mixed-domain sets under strict timing to build pacing and test-day stamina.

Compute and interpret measures of center and spread, selecting the most appropriate measure for a given distribution shape.

Analyze histograms, box plots, and scatterplots to describe shape, outliers, clustering, and association between variables.

Apply addition and multiplication rules, conditional probability, and independence tests to calculate probabilities correctly.

Use permutations and combinations to count outcomes, deciding which technique the problem structure requires.

Interpret normal-distribution problems using z-scores and the empirical rule to estimate proportions of a population.

Evaluate trigonometric functions, convert between degrees and radians, and simplify expressions using fundamental identities.

Solve right and oblique triangles using sine, cosine, and tangent ratios along with the law of sines and law of cosines.

Analyze polynomial, rational, exponential, and logarithmic functions for domain, asymptotes, intercepts, and end behavior.

Evaluate limits numerically, graphically, and algebraically, distinguishing continuity from each type of discontinuity.

Apply power, product, quotient, and chain rules to differentiate functions and interpret the derivative as an instantaneous rate of change.

Apply problem-solving strategies such as working backwards, case analysis, invariants, and estimation to unfamiliar multi-step problems.

Justify solutions with valid reasoning and identify the specific flaw in incorrectly reasoned sample arguments.

Anticipate common student misconceptions about fractions, negative numbers, and proportional reasoning, and plan an instructional response for each.

Select and sequence concrete, pictorial, and symbolic representations that match a stated learning objective.

Write assessment items aligned to a single objective and attach a clear scoring rubric to each item.

Consolidate Domain 1 and Domain 2 procedures under time pressure, targeting the error patterns recorded across all previous weeks.

Complete full-length timed practice under authentic test conditions, including a strict calculator and no-calculator split if applicable.

Re-derive the ten highest-yield formulas from memory and check them against the reference sheet for gaps.

Prioritize final review time toward the two or three weakest objectives identified in the cumulative error log.