JCE Mathematics (Syllabus 13) study plan
JCE Mathematics (Syllabus 13) · Give each week a clear focus.
8 weeks · About 7 hours per week
Algebra & Relations, Functions and Graphs
Solve multi-step linear equations and inequalities, including variables on both sides and fractional coefficients, and justify each step
Apply function notation to evaluate, compose, and reverse simple linear functions given in tables, graphs, and symbols
Translate verbal relationships into algebraic expressions and equations, then solve and check the result against the original wording
Classify, expand, and simplify polynomial expressions using distribution, factoring out common terms, and combining like terms
Your checkpoint
A timed 25-question algebra diagnostic (30 minutes) scored at 80% or higher, with every missed item rewritten correctly and labeled by error type (sign, distribution, order of operations, or misread).
Relations, Functions and Graphs & Algebra
Graph linear equations from slope-intercept, point-slope, and standard forms without building a table of values
Derive slope, intercepts, and equations of parallel and perpendicular lines from coordinate pairs and from a graph
Solve systems of two linear equations by graphing, substitution, and elimination, and identify inconsistent and dependent cases
Solve quadratic equations by factoring, completing the square, and the quadratic formula, then connect the roots to x-intercepts on the graph
Your checkpoint
A one-page reference card mapping six graph features to their equation forms, backed by 20 fully worked problems at 90% accuracy or better.
Relations, Functions and Graphs & Number and Operations
Apply exponent and radical rules to simplify expressions and solve simple radical equations, stating the domain restriction where one exists
Distinguish linear from exponential growth using tables, graphs, and real contexts, and write the matching model
Perform and describe translations, reflections, and stretches on parent functions, then state the resulting equation
Convert fluently among fractions, decimals, and percents, and apply proportional reasoning to multi-step rate and scale problems
Your checkpoint
A 30-question mixed set on domains 1 and 5 completed in 45 minutes at 80% or higher, with an error log recording the rule missed for each incorrect item.
Geometry and Measurement
Compute perimeter, area, and volume of composite figures by decomposing them into named shapes and tracking units
Apply the Pythagorean theorem and its converse to find missing lengths and to classify triangles as acute, right, or obtuse
Use similarity and congruence criteria to find unknown side lengths and angle measures, and explain why two figures qualify
Convert measurements within and across systems using unit analysis, including squared and cubed units
Your checkpoint
A 25-question geometry set with complete diagrams and work shown, plus a formula sheet reproduced from memory and then corrected against a reference.
Geometry and Measurement & Number and Operations
Solve coordinate geometry problems involving distance, midpoint, and slope criteria that identify parallelograms, rectangles, and right triangles
Compute circumference, arc length, sector area, and write circle equations in center-radius form from given information
Distinguish surface area from volume and compute both for prisms, cylinders, cones, pyramids, and spheres
Solve percent, ratio, and rate problems, including percent change, percent error, and chained percentage discounts
Your checkpoint
A 20-question mixed geometry and number quiz scored at 85% or higher, with the formula sheet revised to include every formula that was forgotten or misapplied.
Statistics and Probability
Construct and interpret histograms, box plots, and scatterplots, and describe each distribution's shape, center, and spread in writing
Compute mean, median, mode, range, interquartile range, and standard deviation, and use them to compare two data sets
Distinguish sample from population, identify biased sampling and misleading graphs, and judge whether a study supports a causal claim
Fit and interpret a line of best fit, including the practical meaning of its slope and the difference between correlation and causation
Your checkpoint
A 20-question statistics set at 80% or higher, including two written distribution comparisons of at least five sentences each that cite specific numerical evidence.
Statistics and Probability & Number and Operations
Apply the addition and multiplication rules for probability, including complements, mutually exclusive events, and independent events
Use two-way tables and tree diagrams to compute conditional probabilities and check them against the general multiplication rule
Count outcomes using the fundamental counting principle, permutations, and combinations, and choose the correct tool for each situation
Use proportional reasoning to compute expected values and to scale probabilities across different sample sizes
Your checkpoint
A full-length timed practice test of 50 questions in 75 minutes covering all five domains, scored and analyzed with results tallied by domain and subskill.
Number and Operations & Algebra & Geometry and Measurement & Statistics and Probability & Relations, Functions and Graphs
Rank subskills by error frequency from the week 7 analysis and re-teach the three weakest before retesting them
Complete two full-length timed practice tests under exam conditions with no notes, no pauses, and a single sitting each
Rewrite every missed item with a correct worked solution and one sentence naming the rule that was violated
Assemble a single one-page final review card summarizing the formulas and procedures most often missed across all five domains
Your checkpoint
Two full-length practice tests scored at 80% or higher, accompanied by a one-page error summary naming the three recurring error patterns and the specific fix for each.
Milestones
Week 2: Score 85% or higher on an untimed 20-question set covering linear and quadratic functions; if below, redo the week 1 graphing and solving goals, including five fresh worked problems per missed item, before starting week 3.
Week 4: Score 75% or higher on a 30-question cumulative test covering domains 1, 2, and 5 in 50 minutes; any domain scoring below 70% triggers a 30-minute targeted re-review before week 5 begins.
Week 6: Score 75% or higher on a half-length cumulative test of 25 questions in 40 minutes spanning all five domains, with the statistics portion at 70% or higher and all work logged in the error tracker.
Week 8: Score 80% or higher on two full-length timed tests with no domain below 70%, and submit the completed one-page error summary listing the three recurring error patterns and their fixes.