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