ECAT study plan
ECAT · Give each week a clear focus.
8 weeks · About 6 hours per week
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
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
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
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
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
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
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
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