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    Geometry 8: This is a rigorous, fast paced program.  Student will complete the Common Core curriculum of Geometry.  Students must be highly motivated and possess the work ethic necessary to handle a challenging and fast paced level of instruction. Students will take the Common Core Geometry Regents in June.  Students who successfully complete this course will receive on high school credit. 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

    Points, Lines, Planes

    September

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    1.1

    Name points, lines, planes, segments, and rays.

    G-CO.A.1

    Pages 4-10

    1.2

    Measuring and Constructing Segments 

    G-CO.A.1, G-CO.D.12

    Pages 12-18

    1.3

    Using Midpoint and Distance Formulas

    G-CO.D.12, G-GPE.B.7

    Pages 20-26

    1.4

    Perimeter and Area in the Coordinate Plane

    G-GPE.B.7, G-MG.A.1

    Pages 30-36

    1.5

    Measuring and Constructing Angles

    G-CO.A.1,, G-CO.D.12

    Pages 38-46

    1.6

    Describing Pairs of Angles

    G-CO.A.1

    Pages 48-54

    Unit 2

    Reasoning and Proofs

    October

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    2.2

    Inductive and Deductive Reasoning

    G-CO.C.9, G-CO.C.10, G-CO.C.11, G-SRT.B.4

    Pages 76-82

    2.3

    Postulates and Diagrams

    G-CO.C.9, G-CO.C.10, G-CO.C.11, G-SRT.B.4

    Pages 84-88

    2.4

    Algebraic Reasoning

    G-CO.C.9, G-CO.C.10, G-CO.C.11, G-SRT.B.4

    Pages 92-98

    2.5

    Proving Statements about Segments and Angles

    G-CO.C.9

     Pages 100-104

    2.6

    Proving Geometric Relationships

    G-CO.C.9

    Pages 106-114

    Unit 3 

    Parallel and Perpendicular Lines

    November

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    3.1

    Pairs of Lines and Angles

    G-CO.A.1

    Pages 126-130

    3.2

    Parallel Lines and Transversals

    G-CO.C.9

    Pages 132-136

    3.3

    Proofs with Parallel Lines

    G-CO.C.9, G-CO.D.12

    Pages 138-144

    3.4

    Proofs with Perpendicular Lines

    G-CO.C.9, G-CO.D.12

    Pages 148-154

    3.5

    Equations of Parallel and Perpendicular Lines

    G-GPE.B.5, G-GPE.B.6

    Pages 156-162

     End of Quarter 1

    Unit 4

    Transformations

    December

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    4.1

    Translations

    G-CO.A.2, G-CO.A.4, G-CO.A.5, G-CO.B.6

    Pages 174-180

    4.2

    Reflections

    G-CO.A.2, G-CO.A.3, G-CO.A.4, G-CO.A.5, G-CO.B.6, G-MG.A.3

    Pages 182-188

    4.3

    Rotations

    G-CO.A.2, G-CO.A.3, G-CO.A.4, G-CO.A.5, G-CO.B.6

    Pages 190-196

    4.4

    Congruence and Transformations

    G-CO.A.5, G-CO.B.6

    Pages 200-206

    4.5

    Dilations

    G-CO.A.2, G-SRT.A.1a, G-SRT.A.1b

    Pages 208-214

    4.6

    Similarity and Transformations

    HSG-CO.A.5, HSG-SRT.A.2

    Pages 216-220

    Unit 5

    Congruent Triangles

    January

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    5.1

    Angles of Triangles

    G-CO.C.10, G-MG.A.1

    Pages 232-238

    5.2

    Congruent Polygons

    G-CO.B.7

    Pages 240-244

    5.3

    Proving Triangle Congruence by SAS

    G-CO.B.8, G-MG.A.1

    Pages 246-250

    5.4

    Equilateral and Isosceles Triangles

    G-CO.C.10, G-CO.D.13, G-MG.A.1

     Pages 252-258

    5.5

    Proving Triangle Congruence by SSS

    G-CO.B.8, G-MG.A.1, G-MG.A.3

    Pages 262-268

    5.6

    Proving Triangle Congruence by ASA and AAS

    HSG-CO.B.8

    Pages 270-276

    5.7

    Using Congruent Triangles

    G-SRT.B.5

    Pages 278-282

    5.8

    Coordinate Proofs

    G-GPE.B.4

    Pages 284-288

     End of Quarter 2

    Unit 6

    Relationships within Triangles 

    February

      Section

    Concepts  

    CC Standards  

    Big Ideas Resources

    6.1 

    Perpendicular Bisectors and Angle Bisectors 

    HSG-CO.C.9, HSG-MG.A.1

    Pages. 301-308  

     6.2 

    Bisectors of Triangles 

     HSG-CO.D.12, HSG-C.A.3, HSG-MG.A.1, HSG-MG.A.3

    Pages 309-318 

    6.3 

    Medians and Altitudes 

      HSG-CO.C.10

    Pages 319-327 

    6.4 

    The Triangle Mid-segment Theorem 

     HSG-CO.C.10, HSG-MG.A.1

    Pages 329-334  

    6.5 

    Indirect Proof and Inequalities in One Triangle 

     HSG-CO.C.10

    Pages. 334-342 

    6.6 

    Inequalities in Two Triangles 

    HSG-CO.C.10  

    Pages343-348 

    Unit 7

     Quadrilaterals and other Polygons 

    March

      Section

    Concepts  

    CC Standards  

    Big Ideas Resources

    7.1 

    Angles of Polygons 

    HSG-CO.C.11

    Pages 359-366 

    7.2 

    Properties of Parallelograms 

     HSG-SRT.B.5

    Pages 367-369 

    7.3 

    Proving that a Quadrilateral is a Parallelogram 

     HSG-SRT.B.5, HSG-MG.A.1

    Pages 375-384 

    7.4 

    Properties of Special Parallelograms 

     HSG-SRT.B.5, HSG-MG.A.1, HSG-MG.A.3

    Pages 387-396 

    7.5 

    Properties of Trapezoids and Kites 

     HSG-MG.A.1

    Pages 397-399 

    Unit 8

     Similarity 

    April 

      Section

    Concepts  

    CC Standards  

    Big Ideas Resources

    8.1 

    Similar Polygons 

     HSG-MG.A.3

    Pages 417-426 

    8.2 

    Proving Triangle Similarity by AA 

     HSG-SRT.B.5

    Pages 427-429 

    8.3 

    Proving Triangle Similarity by SSS and SAS 

     HSG-SRT.B.5, HSG-GPE.B.5, HSG-MG.A.1

    Pages 435-444 

    8.4 

    Proportionality Theorems 

     HSG-SRT.B.5, HSG-GPE.B.6

    Pages 445-452 

     End of Quarter 3

    Unit 9

     Right Triangles and Trigonometry 

    April - May

      Section

    Concepts  

    CC Standards  

    Big Ideas Resources

    9.1 

    The Pythagorean Theorem 

     HSG-SRT.C.8

    Pages 463-470 

    9.2 

    Special Right Triangles 

     HSG-MG.A.1

    Pages 471-472 

    9.3 

    Similar Right Triangles 

     HSG-SRT.B.5

    Pages 477-484 

    9.4 

    The Tangent Ratio 

     HSG-SRT.C.6, HSG-SRT.C.8

    Pages 487-492 

    9.5 

    The Sine and Cosine Ratios 

     HSG-SRT.C.6, HSG-SRT.C.7, HSG-SRT.C.8

    Pages 493-500 

    9.6 

    Solving Right Triangles 

    HSG-SRT.C.8, HSG-MG.A.1, HSG-MG.A.3

    Pages501-506 

    9.7 

    Law of Sines and Law of Cosines 

    HSG-SRT.C.8, HSG-MG.A.1, HSG-MG.A.3

    Pages 507-516 

    Unit 10  

     Circles

    May 

      Section

    Concepts  

    CC Standards  

    Big Ideas Resources

    10.1 

    Lines and Segments that Intersect Circles 

     HSG-CO.A.1, HSG-C.A.2, HSG-C.A.4

    Pages 529-536 

    10.2 

    Finding Arc Measures 

     HSG-C.A.1, HSG-C.A.2

    Pages537-544 

    10.3 

    Using Chords 

     HSG-C.A.2, HSG-MG.A.3

    Pages 545-550 

    10.4 

    Inscribed Angles and Polygons 

     HSG-CO.D.13, HSG-C.A.2, HSG-C.A.3

    Pages 553-560 

    10.5 

    Angle Relationships in Circles 

     HSG-C.A.2

    Pages 561-568 

    10.6 

    Segment Relationships in Circles 

     HSG-C.A.2, HSG-MG.A.1

    Pages 569-574 

    10.7 

    Circles in the Coordinate Plane 

     HSG-GPE.A.1, HSG-GPE.B.4

    Pages 575-580 

    Unit 11

     Circumference, Area and Volume 

     June

      Section

    Concepts  

    CC Standards  

    Big Ideas Resources

    11.1  

    Circumference and Arc Length 

     HSG-GMD.A.1, HSG-C.B.5, HSG-CO.A.1

    Pages 593-600 

    11.2 

    Areas of Circles and Sectors 

     HSG-GMD.A.1, HSG-MG.A.2, HSG-C.B.5

    Pages 601-608 

    11.3 

    Areas of Polygons 

     HSG-GMD.A.3

    Pages 609-616 

    11.4 

    Three-Dimensional Figures 

     HSG-GMD.B.4

    Pages 617-622 

    11.5 

    Volumes of Prisms and Cylinders 

     HSG-GMD.A.1, HSG-GMD.A.2, HSG-GMD.A.3, HSG-MG.A.1, HSG-MG.A.2, HSG-MG.A.3

    Pages 625-634 

    11.6 

    Volumes of Pyramids 

     HSG-GMD.A.1, HSG-GMD.A.3, HSG-MG.A.1

    Pages 635-640 

    11.7 

    Surface Areas and Volumes of Cones 

     HSG-GMD.A.1, HSG-GMD.A.3

    Pages 641-646 

    11.8 

    Surface Areas and Volumes of Spheres 

     HSG-GMD.A.2, HSG-GMD.A.3, HSG-MG.A.1

    Pages647-654