# GEOMETRY ACADEMIC LIBRARY

*Second Semester*

## Geometry Online (2nd Semester)

##### UNIT 7 – CIRCLES

- Characteristics of Circles
- Characteristics of Spheres
- Quiz 1: Circles and Spheres
- Tangents
- Arcs
- Circles Central Angles Arc Measures Major and Minor Arcs Defined
- Central Angles, Arcs, and Chords
- Finding Arc Length of a Circle (Information on Arc length will include equations of finding unknown values)

- Chords
- Theorems (1)
- Theorems (2)
- Quiz 2: Tangents, Arcs, and Chords
- Special Angles Type 1
- Special Angles Type 2
- Special Angles Type 3
- Special Segments
- Quiz 3: Special Angles and Segments
- Construction: Circles
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 8 – AREA AND VOLUME

- Area Concepts of Polygons
- Area of Rectangles
- Area of Parallelograms
- Area of Triangles and Rhombuses
- Area of Trapezoids
- Area of Kites
- Area of Regular Polygons
- Area Comparisons of Polygons
- Quiz 1: Area of Polygons
- Construction: Polygons
- Circles: Circumference and PI
- Arc Length
- Circles: Area of Circles
- Circles: Area of Sectors
- Circles: Area of Segments
- Quiz 2: Area of Circles
- Solids: Prisms
- Solids: Pyramids
- Solids: Cylinders
- Solids: Cones
- Solids: Spheres
- Quiz 3: Volume of Solids
- Two- and Three Dimensional Shapes
- Project: Rotating a Two-Dimensional Shape
- Geometric Probability
- Construction: Dividing a Segment
- Construction: 4th Proportion
- Construction: The Geometric Mean
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 9 – COORDINATE GEOMETRY

- Symmetry
- Ordered Pairs: Points in a Plane
- Graphs of Algebraic Sentences
- Quiz 1: Symmetry, Ordered Pairs, and Graphs
- Distance Formula
- Distance Formula (Please note that the formula may be stated differently, but because of the process followed it will result in the same answer because of multiplying results of negative numbers being squared)
- Distance Formula
- Distance Formula

- Perimeter and Area
- Midpoint Formula
- Equation of a Circle
- Quiz 2: Distance Formula and Applications
- Slope
- Parallel and Perpendicular Lines
- Equations of Lines
- Quiz 3: Slope and Lines
- Figures in the Coordinate Plane
- Proofs with Coordinate Geometry (1)
- Proofs with Coordinate Geometry (2) (A continuation of the previous lesson. Use the instructional presentations with that lesson for this assignment as needed)
- Quiz 4: Figures and Proofs
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 10 – TRANSFORMATIONS

- Introduction: Rigid Motion, or Isometry
- Isometry: Reflection
- Isometry: Translation
- Isometry: Rotation
- Quiz 1: Isometry
- Transformation Sequences (You can use your Geometry Resources and previous videos in this section to aid your understanding of today’s assignment)
- Similarty Transformation: Dilation
- Product Transformation (Use the instructional presentations from the earlier assignments as needed for this lesson)
- Project: Transformations in the Plane
- Inverse and Identity Transformation (Use the instructional presentations from the earlier assignments as needed for this lesson)
- Quiz 2: Transformations
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 11 GEOMETRIC APPLICATION

- Using SOH CAH TOA in Trigonometry
- Finding the Values of Trigonometric Functions
- Law of Sines
- Quiz 1: Sines
- Ambiguity and Area of a Triangle
- Law of Cosines: Finding a Side
- Law of Cosines: Finding an Angle
- Quiz 2: Cosines
- Modeling with Geometric Figures
- Density
- Geometry in Design
- Quiz 3: Modeling Geometry
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 12 – PROBABILITY

- Definitions, Sample Spaces, and Probability
- Addition of Probabilities
- Multiplication of Probabilities
- Quiz 1: Using Probability
- Definitions
- Permutations of N Things: Different
- Permutations of N things: Not All Different
- Combinations
- Quiz 2: Probability
- Conditional Probability
- Conditional Probability in Real-World Situations
- Two-Way Frequency Tables
- Using Probability in Decision Making
- Quiz 3: Conditional Probability
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 13 – SEMESTER REVIEW AND EXAM

- Review
- Exam
- Alternate Exam—Form A
- Alternate Exam—Form B

##### UNIT 14 – FINAL EXAM

- FINAL EXAM