Units

• LOGISTICS, RESOURCES, & REGISTRATION 
• AOPS Chap­ter 1 : Arith­metic 1 week
  • § 1.2 — 1.5 : Home­work 1 hour
  • § 1.6 — 1.9 : Home­work 3 hours
• AOPS Chap­ter 2 : Expres­sions Play with num­bers by adding the elu­sive vari­able 1 week
  • § 2.1 ‑2.3 : Expres­sions and Sub­sti­tu­tionPrac­tice sim­pli­fy­ing alge­bra­ic expres­sions by using the rules with vari­ables and con­stants 45 min
  • § 2.4 — 2.5 : Alge­bra­ic Frac­tionsPrac­tice work­ing with frac­tions that con­tain vari­ables 35 min
• AOPS Chap­ter 3 : Sin­gle Vari­able Lin­ear Equa­tions Learn the three steps to solv­ing sin­gle vari­able lin­ear equa­tions 2 weeks
  • § 3.1 ‑3.3 : Basic Equa­tion Solv­ingLearn the basics of solv­ing a sim­ple alge­bra­ic equa­tion 35 min
  • § 3.5 — 3.7 : Prac­tice Solv­ing Equa­tionsPrac­tice solv­ing lin­ear equa­tions with more advanced vari­able place­ments 40 min
• AOPS Chap­ter 4 : Vari­ables Sim­pli­fy expres­sions which con­tain mul­ti­ple vari­ables 2 weeks
  • § 4.1 — 4.3 : Sim­pli­fy­ing with 2 vari­ablesSim­pli­fy vari­ables with adding, fac­tor­ing, and mul­ti­ply­ing 40 min
  • § 4.4 ‑4.6 & reviewWork with frac­tions con­tain­ing vari­ables 50 min
• AOPS Chap­ter 5 : Sys­tems of Lin­ear Equa­tions Solve sys­tems of lin­ear equa­tions using sub­sti­tu­tion and elim­i­na­tion 2 weeks
  • § 5.1 — 5.4 : Solv­ing Sys­temsSolve sys­tems of lin­ear equa­tions using sub­sti­tu­tion and elim­i­na­tion 1 hr
  • § 5.5 — 5.7 ReviewSolve sys­tems of lin­ear equa­tions and review chap­ter 5 45 min
• AOPS Chap­ter 6 : Ratios & Per­cents Rela­tion­ships between quan­ti­ties can take many forms 2 weeks
  • § 6.1 ‑6.3 : Ratios & Con­ver­sion Fac­torslearn to express rela­tion­ships and solve for quan­ti­ties using ratios and con­ver­sion fac­tors 1 hr
  • § 6.4 — 6.6 : Per­cents & ReviewLearn how to cal­cu­late and work with per­cents 45 min
• AOPS Chap­ter 7 : Pro­por­tion Dive into pro­por­tion, rates, and word prob­lems. 2 weeks
  • § 7.1 — 7.3 : Pro­por­tionLearn about direct and inverse pro­por­tions in this week’s les­son 30 min
  • § 7.4 — Review : Rate Prob­lemsWork through some rate prob­lems using some math and a lot of great think­ing! 45 min
• AOPS Chap­ter 8 : Graph­ing Lines Graph lin­ear equa­tions and eval­u­ate slope, inter­cepts, and inter­sec­tions 2 weeks
  • § 8.1 — 8.4 : Carte­sian Plane & SlopeLearn how to plot points and com­pute slope on a Carte­sian plane 45 min
  • § 8.5 — Review : Equa­tions of LinesCre­ate, Solve, and Graph lin­ear equa­tions 45 min
• AOPS Chap­ter 9 : Inequal­i­ties Work with solv­ing and graph­ing inequal­i­ties 2 weeks
  • § 9.1 — 9.3 : Basic Inequal­i­tiesExplore and work with basic inequal­i­ties 30 min
  • § 9.4 — 9.6 : Graph­ing Inequal­i­tiesPrac­tice Graph­ing Inequal­i­ties and com­plete chap­ter 9 review! 45 min
• AOPS Chap­ter 10 : Qua­drat­ics & Fac­tor­ing Learn about qua­drat­ic equa­tions, expand­ing, and fac­tor­ing 2 weeks
  • § 10.1 — 10.3 : Basic Qua­drat­ics & Fac­tor­ingLearn about basic qua­drat­ics & fac­tor­ing 45 min
  • § 10.4 — 10.6 : More Fac­tor­ingWork through some tricks to fac­tor­ing 45 min
• AOPS Chap­ter 11 : Spe­cial Fac­tor­iza­tions Look at work­ing with some spe­cial fac­tor­iza­tions 45 min
  • § 11.1 — 11.3 : Expand­ing Bino­mi­alsObserve the pat­terns from work­ing with bino­mi­als 45 min
  • §11.4 — 11.6 : Fac­tor­ing CubesWork with fac­tor­ing sums and dif­fer­ences of cubes 45 min
• AOPS Chap­ter 12 : Com­plex Num­bers Define and cal­cu­late basic oper­a­tions with com­plex num­bers 1 week
  • § 12.1 — 12.4 : Com­plex Num­bersDefine, cal­cu­late, and ratio­nal­ize com­plex num­bers 45 min
• AOPS Chap­ter 13 : Qua­drat­ic Equa­tions & For­mu­la Work with more qua­drat­ic equa­tions by com­plet­ing the square and cal­cu­lat­ing the qua­drat­ic for­mu­la 2 weeks
  • § 13.1 — 13.3 : Com­plet­ing the SquareLearn how to com­plete the square 45 min
  • § 13.4 — 13.5 : Appli­ca­tions & ReviewWork with prob­lem solv­ing with qua­drat­ics 45 min
• AOPS Chap­ter 14 : Graph­ing Quadratics 
  • § 14.1 — 14.3 : Graph­ing Qua­drat­icsGraph parabo­las and iden­ti­fy equa­tions of cir­cles 45 min
• AOPS Chap­ter 15 : More Inequal­i­ties 1 week
  • § 15.1 — 15.4 : Solv­ing for Qua­drat­ic Inequal­i­ties 45 min
• AOPS Chap­ter 16 : Func­tions 2 weeks
  • § 16.1 — 16.4 : Func­tions 45 min
  • § 16.5 — 16.7 : Prob­lem Solv­ing with Func­tionsProb­lem Solv­ing with Func­tions 45 min
• AOPS Chap­ter 17 : Graph­ing Func­tions Prac­tice graph­ing func­tions and iden­ti­fy­ing graphs of func­tions 1 week
  • § 17.1 — 17.4 : Graph­ing Func­tionsgraph func­tions 45 min
• AOPS Chap­ter 18 : Poly­no­mi­als 1 week
  • § 18.1 — 18.3 : Adding & Mul­ti­ply­ing Poly­no­mi­als 30 min
• AOPS Chap­ter 19 : Expo­nents & Log­a­rithms 1 week
  • § 19.1 — 19.5 : Expo­nents & Log­a­rithms 1 hr