Unit 1Constructions
8 lessons4 Weeks
Constructions
 Week 1
Lesson 1
Introduction to Euclidean Geometry and Constructions
This lesson is designed to introduce students to the compass and straightedge as we begin the constructions unit as well as explain what constructions are and where they came from.
Lesson 2
Constructing Line Segments
This lesson will teach students how to construct line segments with a compass and straightedge.  We will also learn how to partition a line segment algebraically.
 Week 2
Lesson 3
Constructing Angles
This lesson will teach students how to construct angles and we will also be defining angle properties.
Lesson 4
Constructing Perpendicular Bisectors
This lesson will teach students how to construct perpendicular bisectors.  This lesson will use perpendicular bisectors both geometrically and algebraically.
 Week 3
Lesson 5
Constructing Angle Bisectors
This lesson will teach students how to construct angle bisectors.  Angle bisectors will then be used for some application work.
Lesson 6
Constructing Parallel Lines
This lesson will teach students how to construct parallel lines.  These constructions will then be done algebraically using coordinate geometry techniques.
 Week 4
Lesson 7
Constructing Perpendicular Lines
This lesson will teach students how to construct perpendicular lines.  These constructions will then be done algebraically using coordinate geometry techniques.
Lesson 8
Constructing Centers of Triangles
This lesson will use construction techniques to create the 4 different triangle centers-centroid, circumcenter, orthocenter and incenter and explore their properties as we review constructions.
Unit 2Dissections: Formulas and Figures
8 lessons4 Weeks
Dissections: Formulas and Figures
 Week 5
Lesson 9
Parallel Lines and Transversals
This lesson will introduce relationships in parallel lines and transversals.
Lesson 10
Angles and Transversals
This lesson will work more with angle measures from parallel lines and transversals.
 Week 6
Lesson 11
Puzzling Parallel Proofs
This lesson will use properties of parallel lines and transversals to solve for missing angles.
Lesson 12
Review of Geometry
This lesson will review basic concepts from the first 12 lessons and an assessment will be provided.
 Week 7
Lesson 13
Dissecting Area, Shaping Formulas
This lesson will use dissection to explore Area formulas for various triangles and quadrilaterals.
Lesson 14
More Dissections
This lesson will continue to use dissection to explore Area formulas for various triangle and quadrilaterals.
 Week 8
Lesson 15
Dissections on the Coordinate Plane
This lesson will apple dissections to the coordinate plane.
Lesson 16
Polygon Family Trees and Properties of Polygons
This lesson will help students to organize all of the properties of polygons to build Theorems for use in proofs.
Unit 3Triangle Proofs: Congruence and Similarity
8 lessons4 Weeks
Triangle Proofs: Congruence and Similarity
 Week 9
Lesson 17
Introduction to Proofs and Theorems
This lesson will introduce the different styles of geometric proof and review the importance of theorems in geometric proofs.
Lesson 18
Side Side Side Triangle Congruence
This lesson will let students discover where SSS comes from and begin triangle congruence proofs.
 Week 10
Lesson 19
Side Angle Side Triangle Congruence
This lesson will let students discover where SAS comes from and continue to work on triangle congruence proofs.
Lesson 20
Angle Side Angle Triangle Congruence
This lesson will let students discover where ASA comes from and continue to work on triangle congruence proofs.
 Week 11
Lesson 21
Angle Angle Side Triangle Congruence
This lesson will let students discover where AAS comes from and continue to work on triangle congruence proofs.
Lesson 22
Special Cases: Side Side Angle? and Hypotenuse Leg Triangle Congruence
This lesson will have students investigate SSA and will also explore special cases like HL while continuing to work on triangle congruence proofs.
 Week 12
Lesson 23
Exploring Triangle Similarity
This lesson will investigate triangle similarity.
Lesson 24
Using Triangle Similarity
This lesson will finish exploring triangle similarity and also use proportions to solve problems.  This similarity thread will continue when we study transformations.
Unit 4Trigonometry and Circle Proofs
8 lessons4 Weeks
Trigonometry and Circle Proofs
 Week 13
Lesson 25
Exploring Triangles
This lesson will work an origami set of tangrams to explore triangles in a more hands on way.
Lesson 26
Pythagorean Theorem and Triples
This lesson will explore the Pythagorean Theorem in depth from a proof perspective and also discuss Pythagorean Triples.
 Week 14
Lesson 27
Right Triangle Trigonometry
This lesson will explore similarity and right triangle trigonometry (AKA SOHCAHTOA)
Lesson 28
Transformations in Geometry
This lesson will review transformations, focusing on the formulas used for transformations in Geometry.
 Week 15
Lesson 29
Properties of Circles
This lesson will explore the properties of circles.
Lesson 30
Problem Solving with Circles
This lesson will review different types of circle problems and how to identify the best techniques for problem solving when working with circles.
 Week 16
Lesson 31
Circle Proofs
This lesson will use circle properties to complete geometric two column proofs.
Lesson 32
Equations of Circles
This lesson will connect circles back to algebra as students learn how to write equations of circles and graph them on a coordinate plane.