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