- White Plains Public Schools
- Curricula
-
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
Teacher Web Site
Solve Problems involving Parallelograms
Prove Quadrilaterals are Parallelograms
Solve Problems involving Rectangles
Solve Problems involving Rhombi and Squares
Solve Problems involving Trapezoids
End of Quarter 2
Unit 8
Coordinate Geometry
Months
Concepts
CC Standards
Resources
Writing an Equation of a Line
Teacher Web Site
Writing Equations of
Altitudes, Medians and Perpendicular
Bisectors
Writing Equations of a Line
Using Points of Intersection
Unit 9
Triangle Properties
Months
Concepts
CC Standards
Resources
Solve Problems involving Concurrent Lines of Triangles
Teacher Web Site
Solve Problems involving Mid-segments of Triangles
Review of Concurrent Lines of Triangles
Solve Problems involving Angle Relationships and Inequalities in Triangles.
Solve Problems involving the Pythagorean’s Theorem.
Solve Problems involving Special Right Triangles.
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
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