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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