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.
Unit 1 
Points, Lines, Planes 
September 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
1.1 
Name points, lines, planes, segments, and rays. 
GCO.A.1 
Pages 410 
1.2 
Measuring and Constructing Segments 
GCO.A.1, GCO.D.12 
Pages 1218 
1.3 
Using Midpoint and Distance Formulas 
GCO.D.12, GGPE.B.7 
Pages 2026 
1.4 
Perimeter and Area in the Coordinate Plane 
GGPE.B.7, GMG.A.1 
Pages 3036 
1.5 
Measuring and Constructing Angles 
GCO.A.1,, GCO.D.12 
Pages 3846 
1.6 
Describing Pairs of Angles 
GCO.A.1 
Pages 4854 
Unit 2 
Reasoning and Proofs 
October 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
2.2 
Inductive and Deductive Reasoning 
GCO.C.9, GCO.C.10, GCO.C.11, GSRT.B.4 
Pages 7682 
2.3 
Postulates and Diagrams 
GCO.C.9, GCO.C.10, GCO.C.11, GSRT.B.4 
Pages 8488 
2.4 
Algebraic Reasoning 
GCO.C.9, GCO.C.10, GCO.C.11, GSRT.B.4 
Pages 9298 
2.5 
Proving Statements about Segments and Angles 
GCO.C.9 
Pages 100104 
2.6 
Proving Geometric Relationships 
GCO.C.9 
Pages 106114 
Unit 3 
Parallel and Perpendicular Lines 
November 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
3.1 
Pairs of Lines and Angles 
GCO.A.1 
Pages 126130 
3.2 
Parallel Lines and Transversals 
GCO.C.9 
Pages 132136 
3.3 
Proofs with Parallel Lines 
GCO.C.9, GCO.D.12 
Pages 138144 
3.4 
Proofs with Perpendicular Lines 
GCO.C.9, GCO.D.12 
Pages 148154 
3.5 
Equations of Parallel and Perpendicular Lines 
GGPE.B.5, GGPE.B.6 
Pages 156162 
End of Quarter 1 

Unit 4 
Transformations 
December 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
4.1 
Translations 
GCO.A.2, GCO.A.4, GCO.A.5, GCO.B.6 
Pages 174180 
4.2 
Reflections 
GCO.A.2, GCO.A.3, GCO.A.4, GCO.A.5, GCO.B.6, GMG.A.3 
Pages 182188 
4.3 
Rotations 
GCO.A.2, GCO.A.3, GCO.A.4, GCO.A.5, GCO.B.6 
Pages 190196 
4.4 
Congruence and Transformations 
GCO.A.5, GCO.B.6 
Pages 200206 
4.5 
Dilations 
GCO.A.2, GSRT.A.1a, GSRT.A.1b 
Pages 208214 
4.6 
Similarity and Transformations 
HSGCO.A.5, HSGSRT.A.2 
Pages 216220 
Unit 5 
Congruent Triangles 
January 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
5.1 
Angles of Triangles 
GCO.C.10, GMG.A.1 
Pages 232238 
5.2 
Congruent Polygons 
GCO.B.7 
Pages 240244 
5.3 
Proving Triangle Congruence by SAS 
GCO.B.8, GMG.A.1 
Pages 246250 
5.4 
Equilateral and Isosceles Triangles 
GCO.C.10, GCO.D.13, GMG.A.1 
Pages 252258 
5.5 
Proving Triangle Congruence by SSS 
GCO.B.8, GMG.A.1, GMG.A.3 
Pages 262268 
5.6 
Proving Triangle Congruence by ASA and AAS 
HSGCO.B.8 
Pages 270276 
5.7 
Using Congruent Triangles 
GSRT.B.5 
Pages 278282 
5.8 
Coordinate Proofs 
GGPE.B.4 
Pages 284288 
End of Quarter 2 

Unit 6 
Relationships within Triangles 
February 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
6.1 
Perpendicular Bisectors and Angle Bisectors 
HSGCO.C.9, HSGMG.A.1 
Pages. 301308 
6.2 
Bisectors of Triangles 
HSGCO.D.12, HSGC.A.3, HSGMG.A.1, HSGMG.A.3 
Pages 309318 
6.3 
Medians and Altitudes 
HSGCO.C.10 
Pages 319327 
6.4 
The Triangle Midsegment Theorem 
HSGCO.C.10, HSGMG.A.1 
Pages 329334 
6.5 
Indirect Proof and Inequalities in One Triangle 
HSGCO.C.10 
Pages. 334342 
6.6 
Inequalities in Two Triangles 
HSGCO.C.10 
Pages343348 
Unit 7 
Quadrilaterals and other Polygons 
March 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
7.1 
Angles of Polygons 
HSGCO.C.11 
Pages 359366 
7.2 
Properties of Parallelograms 
HSGSRT.B.5 
Pages 367369 
7.3 
Proving that a Quadrilateral is a Parallelogram 
HSGSRT.B.5, HSGMG.A.1 
Pages 375384 
7.4 
Properties of Special Parallelograms 
HSGSRT.B.5, HSGMG.A.1, HSGMG.A.3 
Pages 387396 
7.5 
Properties of Trapezoids and Kites 
HSGMG.A.1 
Pages 397399 
Unit 8 
Similarity 
April 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
8.1 
Similar Polygons 
HSGMG.A.3 
Pages 417426 
8.2 
Proving Triangle Similarity by AA 
HSGSRT.B.5 
Pages 427429 
8.3 
Proving Triangle Similarity by SSS and SAS 
HSGSRT.B.5, HSGGPE.B.5, HSGMG.A.1 
Pages 435444 
8.4 
Proportionality Theorems 
HSGSRT.B.5, HSGGPE.B.6 
Pages 445452 
End of Quarter 3 

Unit 9 
Right Triangles and Trigonometry 
April  May 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
9.1 
The Pythagorean Theorem 
HSGSRT.C.8 
Pages 463470 
9.2 
Special Right Triangles 
HSGMG.A.1 
Pages 471472 
9.3 
Similar Right Triangles 
HSGSRT.B.5 
Pages 477484 
9.4 
The Tangent Ratio 
HSGSRT.C.6, HSGSRT.C.8 
Pages 487492 
9.5 
The Sine and Cosine Ratios 
HSGSRT.C.6, HSGSRT.C.7, HSGSRT.C.8 
Pages 493500 
9.6 
Solving Right Triangles 
HSGSRT.C.8, HSGMG.A.1, HSGMG.A.3 
Pages501506 
9.7 
Law of Sines and Law of Cosines 
HSGSRT.C.8, HSGMG.A.1, HSGMG.A.3 
Pages 507516 
Unit 10 
Circles 
May 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
10.1 
Lines and Segments that Intersect Circles 
HSGCO.A.1, HSGC.A.2, HSGC.A.4 
Pages 529536 
10.2 
Finding Arc Measures 
HSGC.A.1, HSGC.A.2 
Pages537544 
10.3 
Using Chords 
HSGC.A.2, HSGMG.A.3 
Pages 545550 
10.4 
Inscribed Angles and Polygons 
HSGCO.D.13, HSGC.A.2, HSGC.A.3 
Pages 553560 
10.5 
Angle Relationships in Circles 
HSGC.A.2 
Pages 561568 
10.6 
Segment Relationships in Circles 
HSGC.A.2, HSGMG.A.1 
Pages 569574 
10.7 
Circles in the Coordinate Plane 
HSGGPE.A.1, HSGGPE.B.4 
Pages 575580 
Unit 11 
Circumference, Area and Volume 
June 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
11.1 
Circumference and Arc Length 
HSGGMD.A.1, HSGC.B.5, HSGCO.A.1 
Pages 593600 
11.2 
Areas of Circles and Sectors 
HSGGMD.A.1, HSGMG.A.2, HSGC.B.5 
Pages 601608 
11.3 
Areas of Polygons 
HSGGMD.A.3 
Pages 609616 
11.4 
ThreeDimensional Figures 
HSGGMD.B.4 
Pages 617622 
11.5 
Volumes of Prisms and Cylinders 
HSGGMD.A.1, HSGGMD.A.2, HSGGMD.A.3, HSGMG.A.1, HSGMG.A.2, HSGMG.A.3 
Pages 625634 
11.6 
Volumes of Pyramids 
HSGGMD.A.1, HSGGMD.A.3, HSGMG.A.1 
Pages 635640 
11.7 
Surface Areas and Volumes of Cones 
HSGGMD.A.1, HSGGMD.A.3 
Pages 641646 
11.8 
Surface Areas and Volumes of Spheres 
HSGGMD.A.2, HSGGMD.A.3, HSGMG.A.1 
Pages647654 