Mathematics / Geometry Honors

Geometry Honors: This course follows the New York State curriculum for Integrated Geometry. Topics include analyzing geometric shapes and relationships, informal and formal proof, transformational geometry and coordinate geometry. The final exam is the Geometry Regents.

Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.

Unit 1	Geometry Foundations		September
	Concepts	CC Standards	Resources
	Points, Lines, Planes	4.G.2	Teacher Web Site
	Midpoint	G.G.66
	Name, classify and calculate the measure of angles.	7.M.8
	identify adjacent, vertical, complementary, supplementary and calculate the measures of pairs of angles.	G.CO.C.10
Unit 2	Logic		Sept - Oct
	Concepts	CC Standards	Resources
	Introduction to Logic	G.G.24	Teacher Web Site
	Conjunction, Disjunction, Conditionals, and Bi-conditionals	G.G.25
	Truth Tables, Tautologies and Logically Equivalent Statements	G.G.26
	Law of Detachment	G.G.25/26
	Law of Contrapositive, Inverse, Converse; Proofs in Logic	G.G.25/26
	Law of Modus Tollens; Invalid arguments	G.G.25/26
	The Chain Rule; Law of Disjunctive Inference	G.G.25/26
	De Morgan’s Law and Law of Simplification	G.G.25/26
Unit 3	Segment Proofs		October
	Concepts	CC Standards	Resources
	draw conclusions by applying geometric definitions.	G.G.27	Teacher Web Site
	apply definitions and theorems to write geometric proofs	G.G.27
	apply the properties of equality and the Addition Postulate to write geometric proofs.	G.G.27
	apply the Subtraction postulate to write geometric proofs.	G.G.27
	apply the multiplication and Division postulate to write geometric	G.G.27
	apply postulates, definitions and theorems to write geometric proofs	G.G.27
	apply postulates, definitions and theorems to write geometric proofs.	G.G.27
Unit 4	Angle Proofs		Months
	Concepts	CC Standards	Resources
	Recognize complementary and supplementary angles and prove angles congruent by means of four new theorems	G.G.27	Teacher Web Site
	Write two-column angle proofs involving supplementary and complementary angles	G.G.27
	Write two-column angle proofs involving supplementary and complementary angles	G.G.27
	End of Quarter 1
Unit 5	Triangle Proofs		Months
	Concepts	CC Standards	Resources
	Angles in Triangles/Definition of Congruent Triangles	G.CO.C.10	Teacher Web Site
	Identifying Congruent Triangles	G.CO.C.10
	Congruent Triangles Proofs	G.CO.C.10
	C.P.C.T.C.	G.CO.C.10
	Isosceles Triangle	G.CO.C.10
	Proving Triangles Congruent with Hy-Leg	G.CO.C.10
	Right Angle Theorem & Equidistance Theorems	G.CO.C.10
	Detour Proofs	G.CO.C.10
	Missing Diagram Proofs	G.CO.C.10
Unit 6	Parallel Lines		Months
	Concepts	CC Standards	Resources
	Find Angle Measures formed by Parallel Lines	G.GPE.B.5	Teacher Web Site
	Parallel and Perpendicular Line Proofs	G.GPE.B.5/G.G.27
Unit 7	Polygons, Quads, and Special Parallelograms		Months
	Concepts	CC Standards	Resources
	Find measures of interior and exterior angles of polygons	G.G.36 G.G.37	Teacher Web Site
	Solve Problems involving Parallelograms	G.CO.C.11
	Prove Quadrilaterals are Parallelograms	G.CO.C.11 G.GPE.B.4
	Solve Problems involving Rectangles	G.CO.C.11
	Solve Problems involving Rhombi and Squares	G.CO.C.11
	Solve Problems involving Trapezoids	G.CO.C.11
	End of Quarter 2
Unit 8	Coordinate Geometry		Months
	Concepts	CC Standards	Resources
	Writing an Equation of a Line	G.GPE.B.5	Teacher Web Site
	Writing Equations of Altitudes, Medians and Perpendicular Bisectors	G.G.21
	Writing Equations of a Line Using Points of Intersection	G.G.21
Unit 9	Triangle Properties		Months
	Concepts	CC Standards	Resources
	Solve Problems involving Concurrent Lines of Triangles	G.G.21 G.G.43	Teacher Web Site
	Solve Problems involving Mid-segments of Triangles	G.CO.C.10
	Review of Concurrent Lines of Triangles
	Solve Problems involving Angle Relationships and Inequalities in Triangles.	G.G.32 G.G.33
	Solve Problems involving the Pythagorean’s Theorem.	G.SRT.C.8
	Solve Problems involving Special Right Triangles.	G.SRT.C.8
Unit 10	Similar Polygons		Months
	Concepts	CC Standards	Resources
	Apply the theorems associated with ratios	G.SRT.B.5	Teacher Web Site
	Identify the characteristics of similar figures	G.SRT.B.5
	Use Several Methods to prove that triangles are similar.
	Use the concept of similarity to establish the congruence of angles and the proportionality of segments	G.SRT.B.5
	Apply Three Theorems frequently used to establish proportionality	G.G.44
	Use Several Methods to prove that triangles are similar.	G.G.44
	Apply Properties of Similar Right Triangles to Solve Problems	G.SRT.B.5
Unit 11	Constructions		Months
	Concepts	CC Standards	Resources
		G.CO.D.12/13	Teacher Web Site

Unit 12	Circles		Months
	Concepts	CC Standards	Resources
	Special Relationships between radii and chords of a circle	G.C.A.2	Teacher Web Site
	Relationships between congruent chords of a circle	G.C.A.2
	Relationships between Congruent Arcs, Chords, and central Angles	G.C.A.2
	Secants and Tangents	G.C.A.2
	End of Quarter 3
	Angle Relationships in Circles	G.C.A.2
	More Angle-Arc Theorems	G.C.A.2
	Inscribed and Circumscribed Polygons	G.C.A.3
	Power Theorems	G.C.A.2
	Circumference and Arc Length	G.C.B.5
Unit 13	Surface Area/Volume		Months
	Concepts	CC Standards	Resources
	Calculate the Surface Area of Prisms	G.MG.A.3 6.G.3	Teacher Web Site
	Calculate the Surface Area of Pyramids	G.MG.A.3
	Calculate the Surface Area of Circular Solids	G.MG.A.3
	Calculate the Volume of Prisms and Cylinders	G.GMD.A.3 G.G.13 G.G.14 G.G.15 G.G.16
	Calculate the Volume of Pyramids, Cones, and Spheres
	Density Cross Sections	G.MG.A.2 G.GMD.B.4
Unit 14	Transformations		Months
	Concepts	CC Standards	Resources
	Line Reflections	G.CO.A.5	Teacher Web Site
	More Line Reflections: Graphing and Constructions	G.CO.A.5
	Translations	G.CO.A.5
	Rotations	G.CO.A.5
	Dilations	G.SRT.A.2 G.G.58
	Dilations - Day 2 - Center Not at Origin	G.SRT.A.2 G.G.58
	Partitioning a Line Segment	G.SRT.A.2 G.G.58
	Composition of Transformations	G.CO.A.5 G.SRT.A.2
	Symmetry	5.G.11