Mathematics / Geometry Applications
|
Geometry Applications: This course will focus on topics from the Advanced Regents Diploma. Topics of study include geometric relationships, making and investigating conjectures, transformations and coordinate geometry. This course will include hands-on work with the graphing calculator, a project driven curriculum, and SAT preparatory work. The final exam is a 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 |
Foundations for Geometry |
September |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
1.1 |
Understanding Points, Lines, and Planes |
G-CO.1 |
Chapter 1 Pages 1-60 |
|
1.2 |
Line Segments: sum of parts equals whole, midpoint, line segment bisector |
G-CO.1 |
|
|
1.3 |
Angles: classifying, sum of parts equals whole, angle bisector |
G-CO.9 |
|
|
1.4 |
Pairs of Angles: complementary, supplementary, vertical, linear pair |
G-CO.9 |
|
|
1.5 |
Distance and Midpoint in the Coordinate Plane |
G-GPE.7,G-GPE.6 |
|
|
Unit 2 |
Parallel & Perpendicular Lines |
October |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
2.1 |
Lines and Angles |
G-CO.1 |
Chapter 3 Pages 123-168 |
|
2.2 |
Angles Formed by Parallel Lines and Transversals |
G-CO.9 |
|
|
2.3 |
Slope of Lines: parallel lines, perpendicular Lines |
G-GPE.5 |
|
|
2.4 |
Slopes of lines in the Coordinate Plane |
G-GPE.5 |
|
|
2.5 |
Graphing Quadratic Linear System |
||
|
Unit 3 |
Triangles |
November |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
3.1 |
Sum of angles, finding the missing angle, classifying |
G-CO.10 |
Chapter 5 Pages 229-296 |
|
3.2 |
Isosceles triangles |
G-CO.10 |
|
|
3.3 |
Exterior angles |
G-CO.10 |
|
|
3.4 |
Largest/smallest angles/sides |
G-CO.10 |
|
|
3.5 |
Possible Triangles |
G-CO.10 |
|
|
End of Quarter 1 |
|||
|
Unit 4 |
Triangle Congruence |
December |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
4.1 |
SSS/SAS |
G-CO.7,G-CO.8 |
Handout |
|
4.2 |
ASA/AAS |
G-CO.7,G-CO.8 |
|
|
4.3 |
HL |
G-CO.8 |
|
|
Unit 5 |
Properties of Right Triangles |
December |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
5.1 |
Pythagorean Theorem |
G-SRT.8 |
Chapter 9 Pages 461-472 |
|
5.2 |
Area of Triangles |
G-MG.1 |
|
|
5.3 |
Special Right Triangles |
G-SRT.6 |
|
|
Unit 6 |
Similarity |
January |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
6.1 |
Proportions |
G-SRT.1 |
Chapter 9 Pages 477-486 |
|
6.2 |
Similar polygons |
G-SRT.2 |
|
|
6.3 |
Similar Triangles; proportional and mid-segment |
G-SRT.2,G-SRT.3,G-SRT.5 |
|
|
End of Quarter 2 |
|||
|
Unit 7 |
Polygons |
February |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
7.1 |
Interior and exterior angles of regular polygons |
G-CO.9 |
Chapter 7 Pages 359-368 |
|
7.2 |
Properties of Quadrilaterals |
G-CO.11 |
|
|
Unit 8 |
Coordinate Geometry Proofs |
March |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
8.1 |
Triangle Proofs |
G-GPE.4 |
Chapter 7 Pages 375-398 |
|
8.2 |
Quadrilateral Proofs |
G-GPE.4 |
|
|
End of Quarter 3 |
|||
|
Unit 9 |
Transformations |
April |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
9.1 |
Symmetry/Reflections |
G-CO.2,G-CO.3,G-CO.4,G-CO.5 |
Chapter 4 Pages 171-216 |
|
9.2 |
Translations |
G-CO.2,G-CO.4,G-CO.5 |
|
|
9.3 |
Point Symmetry/Rotations |
G-CO.2,G-CO.3,G-CO.4,G-CO.5 |
|
|
9.4 |
Dilations |
G-CO.2,G-CO.4,G-CO.5 |
|
|
9.5 |
Compositions |
G-CO.5,G-CO.6 |
|
|
Unit 10 |
Circles |
May |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
10.1 |
Central Angles |
G-C.2 |
Chapter 10 Pages 527-576 |
|
10.2 |
Inscribed Angles |
G-C.2,G-C.3 |
|
|
10.3 |
Angles formed by Tangents and Chords |
G-C.2 |
|
|
10.4 |
Angles formed by 2 Chords |
G-C.2 |
|
|
10.5 |
Angles formed by Tangents and Secants |
G-C.2 |
|
|
Unit 11 |
Logic |
May |
|
|
Section |
Concepts |
CC Standards |
Resources |
|
11.1 |
Truth value; negation |
Chapter 2 Pages 63-66 |
|
|
11.2 |
Conditionals; inverse, converse, contrapositive |
||