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    geo

    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