6th Grade · Ratios · 4 units
Mathematics 6: Ratios & expressions
Week 1 is free. Tap Week 1. The reading and the problems are on that lesson. Weeks 2–36 open with a Life Academy plan ($35/month per student or $69/month per family (up to 4 students)).
Unit 1: Foundations
Weeks 1–9Week 1Ratios as comparisons; tape diagrams (CPA)Week 2Equivalent ratios; ratio tablesWeek 3Unit rates; mph / price per itemWeek 4Mixed ratio/rate word problems; error analysisWeek 5Equivalent ratios; scaling recipesWeek 6Percent intro; 10%, 25%, 50% mental math; percent of a numberWeek 7Percent word problems; tax/tip lite; sale discountsWeek 8Mixed ratios + percent mastery setWeek 9Algebraic expressions intro; variables as unknowns
Unit 2: Building fluency
Weeks 10–18Week 10Evaluate expressions; order of operations reviewWeek 11Write expressions from words; translate stories → symbolsWeek 12Mixed expression practice; error analysis of common mistakesWeek 13One-step equations; balance metaphor (CPA)Week 14Solve one-step (+/−); check by substitutionWeek 15One-step (×/÷); word problems → equationsWeek 16Mixed one-step equations masteryWeek 17Area of rectangles/triangles review; composite figuresWeek 18Surface area of rectangular prisms (nets)
Unit 3: Depth & application
Weeks 19–27Week 19Volume of rectangular prisms; word problemsWeek 20Mixed area/surface/volume masteryWeek 21Statistics intro: mean; data set from homeWeek 22Median & mode; choose best measure of centerWeek 23Range; misleading graphs critiqueWeek 24Statistics mixed mastery (mean/median/mode/range)Week 25Integers on number line; real-world negatives (debt, temp, elevation)Week 26Add/subtract integers; chip model or number lineWeek 27Multiply integers preview; patterns
Unit 4: Mastery & showcase
Weeks 28–36Week 28Integers mixed preview masteryWeek 29Mixed fluency: ratios, equations, expressions spiralWeek 30Word problems mixed; bar models for multi-stepWeek 31Spiral fluency timed set + error analysisWeek 32Mixed mastery gate practiceWeek 33Pre-algebra bridge: properties of operations; why they matterWeek 34Simplify expressions; distribute; combine like terms liteWeek 35Pre-algebra mixed bridge setWeek 36Pre-algebra bridge mastery gate