EN VIII Mathematics study plan

EN VIII Mathematics · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Numbers and operations

Compute fluently with integers, fractions, decimals, and percents, converting among forms without a calculator
Apply order of operations and properties of exponents to simplify numeric expressions
Solve multi-step ratio, rate, and proportion problems including unit-rate scaling
Estimate and check reasonableness of numeric answers before finalizing

Timed 25-question numbers-and-operations set scored at 80% or higher with all errors corrected in writing

Week 2

Classify numbers within the real number system and justify each classification
Solve percent-change, percent-error, and simple/compound interest problems
Perform operations with numbers in scientific notation and compare magnitudes
Identify and use divisibility rules, prime factorization, GCD, and LCM to solve problems

One-page error log of every missed item from two practice sets, each with the corrected method and a reworked parallel problem

Week 3

Simplify and evaluate algebraic expressions by combining like terms and applying the distributive property
Solve linear equations and inequalities in one variable and graph solution sets on a number line
Rearrange literal equations and formulas to isolate a specified variable
Translate word problems into equations and verify solutions against the original context

10-item mixed linear-equation/inequality quiz scored at 80% or higher with work shown

Week 4

Interpret slope and intercepts of linear functions in graphs, tables, and equations
Write equations of lines given two points, a point and slope, or a parallel/perpendicular condition
Solve systems of two linear equations by graphing, substitution, and elimination
Solve absolute-value equations and inequalities and interpret their solutions

Half-length timed practice test covering Domains 1-2 scored at 75% or higher with a written list of the three weakest subskills

Week 5

Apply angle relationships (parallel lines with transversals, triangle angle sum, exterior angles) to find unknown measures
Compute perimeter, area, circumference, and volume of standard and composite figures
Use the Pythagorean theorem and distance formula to solve right-triangle and coordinate problems
Apply similarity and congruence criteria to find missing lengths and scale factors

Annotated 15-problem geometry set with a labeled diagram for every item and a stated reason for each step

Week 6

Perform transformations (translations, rotations, reflections, dilations) on the coordinate plane and describe their effects
Calculate surface area of prisms, cylinders, pyramids, and cones
Distinguish and apply the formulas for 30-60-90 and 45-45-90 right triangles
Convert between units within measurement systems and judge precision of results

One-page formula and relationship reference sheet, self-authored from memory, then validated against notes

Week 7

Compute and interpret mean, median, mode, range, and standard deviation for a data set
Read and construct histograms, box plots, and scatter plots and describe trends and outliers
Calculate probabilities for independent, dependent, and mutually exclusive events
Apply counting principles and distinguish permutations from combinations

20-question data/statistics/probability set scored at 80% or higher with each probability answer justified by a stated rule

Week 8

Integrate all four domains under timed, mixed-question conditions
Diagnose remaining weak subskills from a full-length practice test and target them in focused review
Apply test-taking strategies such as eliminating answer choices and verifying by estimation
Build a personal error-pattern checklist to consult during the exam

Full-length timed practice test scored at 80% or higher with a completed error-pattern checklist and a final 1-page review sheet

Week 2: Score 80% or higher on two independent numbers-and-operations sets without a calculator

Week 4: Score 75% or higher on a timed half-length test covering Domains 1-2

Week 6: Reproduce the geometry formula and relationship sheet from memory with 90% accuracy

Week 8: Score 80% or higher on a full-length timed practice test across all four domains