Geometry 8
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 a local 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.
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Unit 1 |
Points, Lines, Planes |
September |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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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 |
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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 |
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1.6 |
Describing Pairs of Angles |
G-CO.A.1 |
Pages 48-54 |
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Unit 2 |
Reasoning and Proofs |
October |
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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 |
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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 |
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2.5 |
Proving Statements about Segments and Angles |
G-CO.C.9 |
Pages 100-104 |
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2.6 |
Proving Geometric Relationships |
G-CO.C.9 |
Pages 106-114 |
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Unit 3 |
Parallel and Perpendicular Lines |
November |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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3.1 |
Pairs of Lines and Angles |
G-CO.A.1 |
Pages 126-130 |
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3.2 |
Parallel Lines and Transversals |
G-CO.C.9 |
Pages 132-136 |
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3.3 |
Proofs with Parallel Lines |
G-CO.C.9, G-CO.D.12 |
Pages 138-144 |
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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 |
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End of Quarter 1 |
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|
Unit 4 |
Transformations |
December |
|
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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 |
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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 |
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Unit 5 |
Congruent Triangles |
January |
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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 |
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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 |
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Unit 7 |
Quadrilaterals and other Polygons |
March |
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|
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 |
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7.5 |
Properties of Trapezoids and Kites |
HSG-MG.A.1 |
Pages 397-399 |
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Unit 8 |
Similarity |
April |
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|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
|
8.1 |
Similar Polygons |
HSG-MG.A.3 |
Pages 417-426 |
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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 |
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End of Quarter 3 |
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Unit 9 |
Right Triangles and Trigonometry |
April - May |
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|
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 |
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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 |
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9.7 |
Law of Sines and Law of Cosines |
HSG-SRT.C.8, HSG-MG.A.1, HSG-MG.A.3 |
Pages 507-516 |
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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 |
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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 |
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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 |
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11.3 |
Areas of Polygons |
HSG-GMD.A.3 |
Pages 609-616 |
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11.4 |
Three-Dimensional Figures |
HSG-GMD.B.4 |
Pages 617-622 |
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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 |
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11.7 |
Surface Areas and Volumes of Cones |
HSG-GMD.A.1, HSG-GMD.A.3 |
Pages 641-646 |
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11.8 |
Surface Areas and Volumes of Spheres |
HSG-GMD.A.2, HSG-GMD.A.3, HSG-MG.A.1 |
Pages647-654 |