• geo

    Geometry Applications: This course will focus on topics from the Advanced Regents Diploma. Topics of study include geometric relationships, making and investigating conjectures, transformations and coordinate geometry. This course will include hands-on work with the graphing calculator, a project driven curriculum, and SAT preparatory work. The final exam is a departmental exam.

     

    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

    Foundations for Geometry

    September

    Section

    Concepts

    CC Standards

    Resources

    1.1

    Understanding Points, Lines, and Planes

    G-CO.1

    Chapter 1

    Pages 1-60

    1.2

     Line Segments:  sum of parts equals whole, midpoint, line segment bisector

    G-CO.1

     

    1.3

     Angles:  classifying, sum of parts equals whole, angle bisector

    G-CO.9

     

    1.4

    Pairs of Angles:  complementary, supplementary, vertical, linear pair 

    G-CO.9

     

    1.5

    Distance and Midpoint in the Coordinate Plane

    G-GPE.7,G-GPE.6

     

    Unit 2

    Parallel & Perpendicular Lines

    October

    Section

    Concepts

    CC Standards

    Resources

    2.1

    Lines and Angles

    G-CO.1

    Chapter 3

    Pages 123-168

    2.2

    Angles Formed by Parallel Lines and Transversals

    G-CO.9

     

    2.3

    Slope of Lines:  parallel lines, perpendicular Lines

    G-GPE.5

     

    2.4

    Slopes of lines in the Coordinate Plane

    G-GPE.5

     

    2.5

    Graphing Quadratic Linear System

     

     

    Unit 3

     Triangles

    November

    Section

    Concepts

    CC Standards

    Resources

    3.1

    Sum of angles, finding the missing angle, classifying

    G-CO.10

    Chapter 5

    Pages 229-296

    3.2

    Isosceles triangles

    G-CO.10

     

    3.3              

    Exterior angles

    G-CO.10

     

     3.4                

    Largest/smallest angles/sides

    G-CO.10

     

    3.5

    Possible Triangles

    G-CO.10

     

     End of Quarter 1

    Unit 4

    Triangle Congruence

    December

    Section

    Concepts

    CC Standards

    Resources

     4.1 

    SSS/SAS

    G-CO.7,G-CO.8

    Handout

    4.2

    ASA/AAS

    G-CO.7,G-CO.8

     

    4.3

    HL

    G-CO.8

     

    Unit 5

    Properties of Right Triangles

    December

    Section

    Concepts

    CC Standards

    Resources

    5.1

    Pythagorean Theorem

    G-SRT.8

    Chapter 9

    Pages 461-472

    5.2

    Area of Triangles

    G-MG.1

     

    5.3

    Special Right Triangles

    G-SRT.6

     

    Unit 6

    Similarity

    January

    Section

    Concepts

    CC Standards

    Resources

    6.1

    Proportions

    G-SRT.1

    Chapter 9

    Pages 477-486

    6.2

    Similar polygons

    G-SRT.2

     

    6.3

    Similar Triangles; proportional and mid-segment

    G-SRT.2,G-SRT.3,G-SRT.5

     

     End of Quarter 2

    Unit 7

    Polygons

    February

    Section

    Concepts

    CC Standards

    Resources

    7.1

    Interior and exterior angles of regular polygons

    G-CO.9

    Chapter 7

    Pages 359-368

    7.2

    Properties of Quadrilaterals

    G-CO.11

     

    Unit 8

    Coordinate Geometry Proofs

    March

    Section

    Concepts

    CC Standards

    Resources

    8.1

    Triangle Proofs

    G-GPE.4

    Chapter 7

    Pages 375-398

    8.2

    Quadrilateral Proofs

    G-GPE.4

     

     End of Quarter 3

    Unit 9

    Transformations

    April

    Section

    Concepts

    CC Standards

    Resources

    9.1

    Symmetry/Reflections

    G-CO.2,G-CO.3,G-CO.4,G-CO.5

    Chapter 4

    Pages 171-216

    9.2

    Translations

    G-CO.2,G-CO.4,G-CO.5

     

     9.3

    Point Symmetry/Rotations

    G-CO.2,G-CO.3,G-CO.4,G-CO.5

     

    9.4

    Dilations

    G-CO.2,G-CO.4,G-CO.5

     

    9.5

    Compositions

    G-CO.5,G-CO.6

     

    Unit 10

    Circles

    May

    Section

    Concepts

    CC Standards

    Resources

    10.1

    Central Angles

    G-C.2

    Chapter 10

    Pages 527-576

    10.2

    Inscribed Angles

    G-C.2,G-C.3

     

    10.3

    Angles formed by Tangents and Chords

    G-C.2

     

    10.4

    Angles formed by 2 Chords

    G-C.2

     

    10.5

    Angles formed by Tangents and Secants

    G-C.2

     

    Unit 11

    Logic

    May

    Section

    Concepts

    CC Standards

    Resources

    11.1

    Truth value; negation

     

    Chapter 2

    Pages 63-66

    11.2

    Conditionals; inverse, converse, contrapositive