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Mathematics / Geometry

Geometry: 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

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