ORELA Mathematics (NT304) study plan

Diagnose current skill level by working one full-length practice test under timed conditions and logging every miss by subtopic (number sense, algebra, geometry, data/probability).

Build a personal error log template that records, for each missed item, the subtopic, the specific rule or procedure that failed, and the corrected worked solution.

Rank the four subtopics by miss rate to decide where weekly hours go for the rest of the plan.

Review foundational number-sense operations: fraction and decimal arithmetic, order of operations, integer rules, and percent conversions, completing 30 mixed drill items with at least 85% accuracy.

Solve ratio, proportion, and percent word problems (tax, discount, percent change, simple interest) using a consistent set-up method across 25 items.

Apply prime factorization, LCM, and GCF to simplify and combine fractions and to solve divisibility questions.

Translate English phrases into algebraic expressions and equations, then solve one- and two-step linear equations and inequalities, graphing solution sets on a number line.

Memorize and apply exponent rules and scientific notation, including negative and zero exponents.

Factor quadratic expressions and solve quadratic equations by factoring, completing the square, and the quadratic formula, verifying each solution by substitution.

Solve systems of two linear equations by substitution and elimination, and interpret the solution graphically as an intersection point.

Simplify polynomial expressions, including multiplying binomials and dividing by a monomial.

Set up and solve linear word problems involving rate, mixture, and consecutive-integer patterns.

Simplify radical expressions and apply the Pythagorean theorem to find missing side lengths in right triangles.

Compute perimeter, area, and volume for triangles, circles, rectangles, prisms, cylinders, and composite figures, keeping units consistent.

Apply angle relationships (parallel lines cut by a transversal, triangle angle sum, polygon interior angles) to find unknown angles.

Convert within and between measurement systems and compute surface area for common solids.

Compute mean, median, mode, range, and standard deviation for small data sets by hand and interpret what each measure communicates.

Read and produce bar graphs, histograms, box plots, and scatterplots, and identify misleading representations.

Calculate probabilities for simple and compound events, including complementary events and independent events.

Distinguish permutations from combinations and solve counting problems using each correctly.

Interpret and evaluate functions given as equations, tables, and graphs, including domain, range, and function notation.

Graph linear functions from slope-intercept and point-slope forms and identify slope as a rate of change in context.

Recognize and describe patterns in sequences and simple exponential growth or decay situations.

Solve multi-step word problems that combine two subtopics (for example, a percent change feeding into a linear model).

Complete a second full-length timed practice test and compare the subtopic error profile against the week 1 baseline.

Re-teach the two weakest subtopics from that comparison by rewriting the underlying rules and redoing the missed items cold.

Practice pacing: complete three 20-question timed sets at test speed and record time per item.

Build a final one-page summary sheet of formulas, definitions, and recurring traps.

Review the error log end to end and re-solve every previously missed item without notes until each is correct.

Take one final timed practice test under realistic conditions and score it.

Drill the summary sheet daily for recall of formulas and definitions.

Plan test-day logistics: allowed materials, timing checkpoints, and a strategy for flagging and returning to hard items.