Units

• LOGISTICS, RESOURCES, & REGISTRATION 
• Unit 1 : Intro­duc­tion to Geom­e­try Learn the ori­gin of the study of geom­e­try and explore the terms used 2 weeks
  • § 1 — 3 : Points and LinesStart your study of geom­e­try with the basics! Points and Lines! 45 min
  • § 4 — 5 : Con­struc­tionsLearn how to com­plete sim­ple geo­met­ric con­struc­tions using a com­pass and a straight­edge 45 min
• Unit 2 : Deduc­tive Rea­son­ing Learn the log­ic terms and rea­son­ing used in geom­e­try 2 weeks
  • § 2.1 — 2.4 : Direct and Indi­rect ProofsWork through direct and indi­rect proofs using con­di­tion­als and com­mon exam­ples 30 min
  • § 2.5 ‑2.6 : Pos­tu­lates and The­o­remsLearn the dif­fer­ence between pos­tu­lates and the­o­rems 30 min
• Unit 3 : Lines & Angles Work with lines and angles using the tools of geom­e­try 2 weeks
  • § 3.1 — 3.4 : Num­ber Oper­a­tions & Basic Pos­tu­latesCon­nect the basic num­ber oper­a­tions to the basic geo­met­ric pos­tu­lates 30 min
  • § 3.5 ‑3.7 : Angles & ReviewWork through angle val­ues by apply­ing angle rela­tion­ships and def­i­n­i­tions 40 min
  • Alge­bra­ic Review 
• Unit 4 : Con­gru­ence Learn how to con­struct tri­an­gles and check for con­gru­ence 2 weeks
  • § 4.1 — 4.4 : Poly­gons Con­gru­enceStart by defin­ing con­gru­ence and look­ing at sim­ple com­par­isons 40 min
  • § 4.5 — 4.7 : Con­gru­ence ProofsWork through con­struc­tions and prac­tice proofs 50 min
• Unit 5 : Inequal­i­ties Learn how to deal with tri­an­gles that are not con­gru­ent 2 weeks
  • § 5.1 — 5.3 : Inequal­i­ties with AnglesWork through basic proofs show­ing rela­tion­ships with inequal­i­ties 30 min
  • § 5.4 — 5.5 : Tri­an­gle Inequal­i­ty The­o­rem & ReviewReview inequal­i­ties by work­ing with one of the most famous inequal­i­ty the­o­rems 30 min
  • Alge­bra Review : Frac­tionsReview work­ing with alge­bra­ic frac­tions with Jacobs’ alge­bra review from chap­ter 5 30 min
• Unit 6 : Par­al­lel Lines Learn how to work with trans­ver­sals and the angles formed by them. 2 weeks
  • § 6.1 — 6.4 : Par­al­lel LinesPar­al­lel lines and trans­ver­sals oh my! 45 min
  • § 6.5 — 6.7 : ReviewReview par­al­lel lines and trans­ver­sals 45 min
• Unit 7 : Quadri­lat­er­als Jump into the study of poly­gons with quadri­lat­er­als 2 weeks
  • § 7.1 — 7.4 : Par­al­lel­o­gramsLearn to dis­tin­guish between rhom­bus­es, squares, and rec­tan­gles 45 min
  • § 7.5 — Review : Trape­zoidsCon­tin­ue work­ing with quadri­lat­er­als includ­ing look­ing at the trape­zoid 45 min
• Unit 8 : Trans­for­ma­tions Learn about con­struct­ing trans­for­ma­tions on fig­ures 2 weeks
  • § 8.1 — 8.4 : Trans­for­ma­tionsReview basic geo­met­ric trans­for­ma­tions 30 min
• Reviews & Assess­ments Review the first half of geom­e­try in these two lessons 1 hr
• Unit 9 : Area Learn to cal­cu­late the area of var­i­ous poly­gons 2 weeks
  • § 9.1 — 9.3 : AreaCal­cu­late basic areas and work with the con­cept 30 min
  • § 9.4 — review : Pythagore­an The­o­remProve that Pythagore­an The­o­rem! 45 min
• Unit 10 : Sim­i­lar­i­ty Com­pare poly­gons by look­ing at sim­i­lar­i­ties, ratios, and pro­por­tions 2 weeks
  • § 10.4 — 10.5 : More Sim­i­lar­i­tyWork with more sim­i­lar­i­ties with tri­an­gles and squares 30 min
  • § 10.1 — 10.3 : Sim­i­lar­i­tyLook at pro­por­tions and how they rise in sim­i­lar­i­ties 30 min
• Unit 11 : The Right Tri­an­gle Tri­an­gles are the heart of high­er math­e­mat­ics and they are the heart of this unit 2 weeks
  • § 11.1 — 11.4 : Spe­cial Right Tri­an­glesExplore some spe­cial prop­er­ties of right tri­an­gles 45 min
  • § 11.5 — 11.7 : Cosine, Sine, and Tan­gentWork with the sine and cosine ratios and their laws 45 min
• Unit 12 : Cir­cles Cir­cles are our focus as we study angles and their rela­tion­ship to the cir­cle. 2 weeks
  • § 12.1 — 12.4 : Cen­ter & Inscribed AnglesDefine cir­cles and work with angles with­in them 45 min
  • § 12.5 — 12.6 : Secant Angles & ReviewReview cir­cles and work with secant and chords 35 min
• Unit 13 : Con­cur­rence The­o­rems Study the effects of con­cur­rence on lines 2 weeks
  • § 13.1 — 13.4 : Con­cur­rence The­o­rems with Cir­cles, Tri­an­gles, and Quadri­lat­er­alsWork with inscribed tri­an­gles and quadri­lat­er­als 1 hr
  • § 13.5 — 13.7 : Ceva’s The­o­remWork with Ceva’s The­o­rem and review con­cur­rent lines with tri­an­gles 30 min
• Unit 14 : Poly­gons & Cir­cle Explore poly­gons and their rela­tion­ship with each oth­er and cir­cles 2 weeks
  • § 14.1 — 14.4 : Reg­u­lar Poly­gons 40 min
  • § 14.5 — 14.6 : Cir­cles & Review 
• Unit 15 : Geo­met­ric Solids Learn about 3‑dimensional poly­he­drons 2 weeks
  • § 15.1 ‑15.5 : Prisms & Pyra­mids 45 min
  • § 15.6 — 15.9 : Cones & Spheres 50 min
• Unit 16 : Non-Euclid­ean Geome­tries Learn about geome­tries oth­er than Euclid 1 week
  • § 16.1 — 16.4 : Non-Euclid­ean Geom­e­try 45 min
• Final Review Review points, lines, cir­cles, tri­an­gles, quadri­lat­er­als, poly­gons, poly­he­drons, and non­Euclid­ean geom­e­try. 1 week