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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.13G.G.14G.G.15G.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