Secondary 4 Mathematics-Cultural, Social and Technical Option Ministerial Examination - Québec study plan

Simplify and compare real numbers (rationals, irrationals, order of operations, absolute value) by solving 20 mixed numeric expressions without a calculator

Convert between fractional, decimal, and percent forms and apply them to proportional situations such as unit rates, scale factors, and percent change

Solve direct and inverse proportionality problems by setting up and checking a proportion in at least 10 word problems

Build a one-page personal formula sheet for real-number laws and proportional reasoning, with a worked example for each rule

Expand, factor, and reduce algebraic expressions (common factor, difference of squares, trinomials) across 15 exercises

Solve first-degree equations and inequalities in one variable, including those with fractions and parentheses, and graph solution sets on a number line

Translate everyday situations into equations or systems of two equations and solve them, verifying each solution against the original wording

Isolate any variable in a literal equation or formula (e.g., perimeter, area, interest) in 8 rearrangement drills

Distinguish relations from functions using tables, graphs, and ordered pairs, and apply the vertical-line test

Read and interpret linear and quadratic functions: identify rate of change, initial value, vertex, zeros, and sign from a graph or rule

Sketch a linear function from two points and a quadratic function from its key features, then check with a table of values

Solve contextual problems involving linear growth and quadratic area or projectile models, stating the meaning of each parameter

Compute perimeter, area, and volume of plane figures and solids (prisms, cylinders, pyramids, cones, spheres) using correct unit conversions

Apply the Pythagorean theorem and the primary trigonometric ratios to find missing sides and angles in right triangles

Use similarity and congruence criteria to solve for unknown lengths and justify each correspondence

Perform and describe transformations (translation, rotation, reflection, dilation) and identify the resulting coordinates and scale factor

Organize a raw data set into a frequency table and choose an appropriate graph (bar, histogram, box plot, circle) with justification

Compute mean, median, mode, range, and interquartile range and explain how outliers shift each measure

Construct a sample space for one- and two-stage random experiments and compute theoretical and experimental probabilities

Convert between probability and odds and compute expected value for a simple game or decision

Decompose a multi-step everyday problem into sub-tasks and select the model (proportional, linear, geometric, probabilistic) that fits each part

Write a complete solution following a structure: given, model chosen, work, validation, and conclusion in context

Validate results by checking units, orders of magnitude, and reasonableness against the original situation

Solve 3 past-style modelling problems under time constraints and annotate where marks would be earned for communication

Build a monthly budget and analyze a purchasing decision by comparing unit prices and total cost of ownership

Compute simple and compound interest, including periodic compounding, and interpret the effect of rate and term

Calculate discounts, taxes, and markups in sequence and determine the final price correctly

Compare financing or credit options and identify the cost of borrowing, including fees and interest over the term

Complete two full-length practice exams under timed conditions and log every error by domain

Re-teach the three weakest sub-topics identified in the error log using worked examples from earlier weeks

Memorize and rehearse the formula sheet and standard solution templates until recall is automatic

Practice written communication: state the model, show steps, and justify the conclusion in every response