BQA Grade 12 study plan

Set up a weekly study log and schedule four 90-minute Algebra sessions on specific calendar days

Solve and fully explain 30 linear equations and inequalities, including absolute-value and compound cases

Build a one-page error log that records each mistake, its cause, and the corrected step

Rewrite ten solved problems from memory without notes to confirm retention

Factor and solve 25 quadratic equations using factoring, completing the square, and the quadratic formula

Graph 15 quadratic functions and identify vertex, axis of symmetry, intercepts, and direction of opening

Interpret the discriminant to classify the number and type of roots in 12 examples

Translate five written word problems into quadratic models and solve them

Simplify and operate on 20 polynomial and rational expressions, stating domain restrictions

Evaluate, compose, and invert functions in 20 exercises, verifying inverses algebraically

Classify and sketch 12 functions by family, listing domain, range, and key features

Identify transformations of parent functions and write the resulting equation for 10 graphs

Solve 15 exponential and logarithmic equations and state any extraneous solutions

Model five growth or decay scenarios and interpret each parameter in context

Analyze 12 piecewise and step functions, checking continuity at the breakpoints

Complete a timed 25-question mixed Algebra and Functions set under 40 minutes

Prove and apply triangle congruence and similarity in 20 exercises with written justification

Apply the Pythagorean theorem, distance formula, and right-triangle ratios to 15 problems

Compute area and volume for 15 composite figures, showing each decomposition step

Write two-column or paragraph proofs for five geometry statements

Convert fluently among units and between exact and approximate forms in 20 number-and-quantity items

Compute and interpret mean, median, standard deviation, and z-scores for three data sets

Calculate probabilities using conditional, independent, and complementary events in 15 scenarios

Distinguish observational studies from experiments and identify bias in five described studies

Build three mathematical models from word problems, stating assumptions and limitations for each

Evaluate model fit by comparing predictions with data and revising parameters

Read two data tables or charts and write a claim supported by specific figures

Identify flaws in five short scientific arguments, naming the reasoning error

Write three constructed responses using a claim-evidence-reasoning structure under time limits

Revise two prior written answers to tighten wording and remove unsupported claims

Complete two full-length timed practice exams and log every missed item by domain

Build a final one-page formula and concept review sheet from your error logs