ECAT study materials
ECAT study resources

ECAT study plan

ECAT · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Physics & Mathematics

  • Diagnose baseline by completing a timed 40-question mixed Physics/Math self-test and logging error types

  • Derive and apply the core kinematics equations to 15 uniform-acceleration problems

  • Solve 10 projectile-motion problems by resolving initial velocity into components

  • Build a one-page formula sheet for kinematics and vector addition

  • Review every missed problem and rewrite its correct solution method in your own words

Your checkpoint

A scored baseline test report plus a completed kinematics/vectors formula sheet with 3+ worked corrections per error type

Week 2

Physics & Mathematics

  • Apply Newton's three laws to 15 free-body-diagram problems, drawing each diagram before solving

  • Compute net force, tension, and friction on inclines and connected masses

  • Solve 10 trig-identity and unit-circle problems without a calculator

  • Explain in writing how a free-body diagram maps to the algebraic force equations

  • Log and categorize every error from the week's practice sets

Your checkpoint

A 15-problem forces portfolio with free-body diagrams and a trig-identity cheat card

Week 3

Physics & Mathematics

  • Apply work-energy and conservation of momentum to 15 combined problems

  • Distinguish elastic from inelastic collisions and compute outcomes for each

  • Solve 10 quadratic-equation and function problems, including word problems

  • Derive the work-energy theorem from Newton's laws

  • Re-solve the 5 hardest problems from weeks 1-2 cold, without notes

Your checkpoint

A timed 20-question Physics/Math quiz scored and fully corrected, with a list of recurring error patterns

Week 4

Chemistry & English

  • Memorize and recite the first 20 elements with symbols and atomic numbers

  • Balance 15 chemical equations, including redox half-reactions

  • Define 40 high-frequency English vocabulary words and use each in a sentence

  • Identify subject-verb agreement and modifier errors in 20 sentences

  • Review the full error log and rank weak areas across all four domains

Your checkpoint

A balanced-equations worksheet (15 items) plus a 40-word vocabulary deck with original example sentences

Week 5

Chemistry & English

  • Apply mole-concept and stoichiometry calculations to 15 problems, showing unit cancellation

  • Compute molarity and dilution for 10 solution problems

  • Write 5 short structured essays or paragraphs under a 15-minute time limit

  • Correct 20 punctuation and sentence-structure errors in sample passages

  • Summarize each chemistry chapter in 5 bullet points in your own words

Your checkpoint

A stoichiometry problem set (15 items) with full dimensional analysis, plus 5 timed writing samples

Week 6

Chemistry & Physics

  • Predict products of 15 acid-base, precipitation, and combustion reactions

  • Explain periodic trends (atomic radius, electronegativity, ionization energy) across periods and groups

  • Solve 10 electricity and magnetism problems using Ohm's law and circuit rules

  • Connect chemistry bonding concepts to physics electrostatic principles in a written comparison

  • Re-test on the 10 most-missed items from weeks 1-5

Your checkpoint

A reaction-prediction worksheet (15 items) and a one-page periodic-trends summary, plus a scored re-test report

Week 7

Mathematics & English

  • Solve 15 geometry and coordinate-geometry problems, including circles and lines

  • Compute permutations and combinations and apply them to 10 counting problems

  • Complete 2 full-length timed English sections and score them

  • Practice reading-comprehension strategies on 4 passages with time limits

  • Consolidate all formula sheets and vocabulary into a single master review document

Your checkpoint

A master review document plus 2 scored timed English sections with corrections

Week 8

Physics & Chemistry & Mathematics & English

  • Take 2 full-length timed mock exams under exam conditions and score them

  • Analyze each mock by domain, ranking error types by frequency

  • Re-drill only the top 3 weakest error types per domain

  • Recite the master formula sheet and vocabulary deck from memory

  • Finalize an exam-day pacing plan with per-section time targets

Your checkpoint

Two scored full-length mock exams with a written error analysis and a finalized exam-day pacing plan

Milestones

Week 2: Score at least 60% on the week-3 timed Physics/Math quiz and show a shrinking error log compared to baseline

Week 4: Recite all 20 elements from memory and balance 12 of 15 equations correctly, plus 80% accuracy on the 40-word vocabulary self-quiz

Week 6: Score at least 65% on the re-test of the 10 most-missed items and correctly predict 12 of 15 reaction products

Week 8: Achieve at least 70% overall on both full-length mocks with no domain below 60%, and complete the exam-day pacing plan