OAE Mathematics study plan

OAE Mathematics · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Mathematical Processes and Number Sense

Diagnose baseline by completing a timed 30-question mixed practice set and logging accuracy per domain
Classify every missed number-sense item by error type (conceptual, procedural, misread) in an error log
Reconstruct rational-number operations (fractions, decimals, percents) with and without a calculator to identify dependency gaps
Build a one-page reference sheet of number-property rules (divisibility, primes, GCF/LCM, integer exponents) from memory then correct it

A scored baseline diagnostic plus a categorized error log covering at least 30 items

Week 2

Solve multi-step proportional-reasoning problems (ratios, rates, scaling, percent change) under a 90-second-per-item limit
Explain the structure of the real number system and justify why operations behave as they do on rationals and irrationals
Apply number-theory concepts (GCF, LCM, modular remainders, prime factorization) to word problems
Convert fluently among fraction, decimal, percent, and scientific notation forms

A 20-question number-sense quiz scored at 85% or higher with written justifications for each missed item

Week 3

Translate verbal situations into algebraic expressions and equations, then verify by substitution
Solve and graph linear equations and inequalities, including compound and absolute-value cases
Identify slope, intercepts, and forms of linear functions from tables, graphs, and two points
Distinguish patterns that are arithmetic, geometric, or neither and write the general term

A function-and-pattern portfolio of 12 worked problems spanning linear, exponential, and quadratic models

Week 4

Factor and expand polynomial expressions and solve quadratic equations by factoring, completing the square, and the quadratic formula
Analyze domain, range, intercepts, and transformations for linear, quadratic, exponential, and rational functions
Solve systems of equations algebraically and interpret solutions graphically
Model a real-world growth or decay scenario with an exponential function and justify the parameters

A timed 25-question algebra section completed at 80% or higher with all work shown

Week 5

Compute perimeter, area, surface area, and volume for composite two- and three-dimensional figures
Apply the Pythagorean theorem and distance formula to justify geometric relationships
Classify figures and reason through congruence and similarity proofs using precise definitions
Convert within and across measurement systems and judge the reasonableness of units and precision

A measurement problem set of 15 items with unit analysis shown at every step and a self-scored rubric

Week 6

Derive and apply coordinate-geometry relationships (midpoint, slope, parallel and perpendicular lines)
Solve problems involving circles, angles, arcs, and inscribed figures
Analyze transformations (translation, rotation, reflection, dilation) and their effect on coordinates and measures
Construct valid deductive arguments for geometric claims and identify flawed reasoning

A written geometry reasoning packet containing three complete proofs and five transformation analyses

Week 7

Summarize data sets with measures of center and spread and interpret their limitations
Construct and read displays (histograms, box plots, scatterplots) and describe association and outliers
Compute and interpret probabilities for compound and conditional events
Apply counting principles (permutations, combinations) and basic discrete structures (sequences, series, recurrence patterns)

A statistics-and-probability lab report analyzing one data set with display, summary statistics, and a probability question answered

Week 8

Complete two full-length timed practice exams and record per-domain accuracy
Re-teach the three weakest subskills from the error log using worked examples written in your own words
Practice process skills (justifying, representing, connecting) on constructed-response prompts
Finalize a condensed formula and concept sheet for exam-day reference

Two scored full-length practice exams with a final remediation plan listing three target subskills and next actions

Week 2: Number-sense accuracy of 85% or higher on a 20-question timed quiz, with no repeated error types in the log

Week 4: Algebra and functions accuracy of 80% or higher on a timed 25-question section

Week 6: Geometry accuracy of 80% or higher plus three complete written proofs judged logically sound

Week 8: Full-length practice exams at or above 75% overall with all four domains represented and a written remediation plan