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GEOMETRY ACADEMIC LIBRARY 

Second Semester

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  • Geometry Academic Library (2nd Semester)

Geometry Online 

​​​Geometry is a full year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The course focuses on the skills and methods of linear, coordinate, and plane geometry.

These supplementary videos are in addition to the video instruction of your online lessons and work with the Academy teachers. They are not the curriculum but are aligned to the daily lesson material. Students should work in their online curriculum, with their NFC Academy teacher and use these videos in their learning process as needed.

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Geometry Online (2nd Semester)

UNIT 7 – CIRCLES
  1. Characteristics of Circles
    1. Language and Notation of a Circle 
    2. Circles: Radius, Diameter, Circumference 
    3. Parts of a Circle 
    4. Properties of a Circle
  2. Characteristics of Spheres
  3. Quiz 1: Circles and Spheres
  4. Tangents
    1. Common Tangents to a Circle
    2. Tangent Lines to a Circle
  5. Arcs
    1. Circles Central Angles Arc Measures Major and Minor Arcs Defined
    2. Central Angles, Arcs, and Chords
    3. Finding Arc Length of a Circle (Information on Arc length will include equations of finding unknown values) 
  6. Chords
    1. Arcs and Chords
    2. Secants, Tangents, Angle Measure
  7. Theorems (1)
    1. Tangents to Circles Day 2 Theorems
  8. ​Theorems (2)
    1. Chords Equidistant from Centre of Circle Theorem
    2. Equal Chords Theorem – Theorem on Circles
    3. Chords on a Circle
  9. Quiz 2: Tangents, Arcs, and Chords
  10. Special Angles Type 1
    1. Inscribed and Central Angles 
    2. Geometry – Inscribed Angles 
    3. Geometry – Central Angles and Intercepted Arcs
    4. Geometry inscribed angles and arcs
    5. Secants, Tangents,  and Angle Measure Lesson
    6. Geometry 10.6 – Secants, Tangents, and Angle Measure
  11. Special Angles Type 2
    1. Geometry 10.6: Secants, Tangents, and Angle Measure
  12. Special Angles Type 3
    1. Geometry 10.6: Secants, Tangents, and Angle Measure
  13. Special Segments
    1. Chord Lengths In and Out of Circles
  14. Quiz 3: Special Angles and Segments
  15. Construction: Circles
  16. ​Test
  17. Alternate Test
  18. Glossary and Credits
UNIT 8 – AREA AND VOLUME
  1. Area Concepts of Polygons
    1. Area of Regular Polygon
    2. Finding the Area of a Regular Polygon
    3. How to Find Perimeter and Area of Irregular Polygons
    4. Area of Irregular Polygons – Area of Rectangles
  2. Area of Rectangles
    1. Perimeter and Area Basics 
    2. Perimeter and Area of Similar Figures
  3. Area of Parallelograms
    1. Area of a Parallelograms  
  4. Area of Triangles and Rhombuses
    1. Triangle Area Proofs 
    2. Area of an Equilateral Triangle 
    3. Area of a Parallelograms  
    4. How Do You Find the Area of an Equilateral Triangle
    5. How Find the Area of a Rhombus
  5. Area of Trapezoids
    1. Area of Trapezoids 
  6. Area of Kites
    1. Area Of A Kite – VividMaths.com
  7. Area of Regular Polygons
    1. Area of Regular Polygons
  8. Area Comparisons of Polygons
    1. Perimeter and Area of Similar Figures
    2. Theorem On Areas Of Similar Triangles
    3. Area and Perimeter of Similar Polygons
    4. Similar Polygons
  9. Quiz 1: Area of Polygons
  10. Construction: Polygons
  11. Circles: Circumference and PI
    1. Circles: Radius, Diameter, and Circumference 
    2. Basic Geometry: Area and Circumference of Circles
    3. Area and Circumference of Circle
  12. Arc Length
    1. Intro to arc measure 
    2. Finding Arc measure 
  13. Circles: Area of Circles
    1. Area of Circle  
    2. Basic Geometry: Area and Circumference of Circles
    3. Area and Circumference of Circle
  14. Circles: Area of Sectors
    1. Finding Arc Length of a Circle
    2. Finding Sector Area of a Circle
  15. Circles: Area of Segments
    1. How Do You Find The Area of a Segment? ​
  16. Quiz 2: Area of Circles
  17. Solids: Prisms
    1. How We Measure Volume 
    2. How To Find the Surface Area of a Rectangular Prism
    3. Finding Surface Area of a Prism Using a Formula
    4. Triangular Prism Surface Area ​
    5. Help Me With Geometry – Surface Area and Volume Solids
  18. Solids: Pyramids
    1. Volume and Surface area of Cone, Pyramid and Triangular Prism
  19. Solids: Cylinders
    1. Cylinder – Surface Area and Volume –
  20. Solids: Cones
    1. Volume and Surface area of Cone, Pyramid and Triangular Prism
  21. Solids: Spheres
    1. Surface Area and Volume of Spheres
  22. Quiz 3: Volume of Solids
  23. ​Two- and Three Dimensional Shapes
  24. Project: Rotating a Two-Dimensional Shape
  25. ​Geometric Probability
    1. Geometric Probability
  26. Construction: Dividing a Segment
  27. Construction: 4th Proportion
  28. Construction: The Geometric Mean
  29. ​Test
  30. Alternate Test
  31. Glossary and Credits
 

UNIT 9 – COORDINATE GEOMETRY
  1. ​​Symmetry
    1. Axis of Symmetry 
    2. Introduction to Symmetry
    3. Lines and Types of Symmetry in Geometric Figures
  2. Ordered Pairs: Points in a Plane
    1. Plot Ordered Pairs 
    2. Quadrants of Coordinate Plane 
    3. Graphing Points and Naming Quadrant Exercise 
  3. Graphs of Algebraic Sentences
    1. Graphing Points and Naming Quadrants 
    2. Points on Coordinate Plane 
    3. Coordinate Plane Word Problem Exercise 
    4. Coordinate Plane Word Problems in All Four Quadrants 
  4. Quiz 1: Symmetry, Ordered Pairs, and Graphs
  5. Distance Formula
    1. 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) 
    2. Distance Formula 
    3. Distance Formula
  6. Perimeter and Area
    1. Perimeter and Area in the Coordinate Plane
  7. Midpoint Formula
    1. Midpoint Formula 
    2. Midpoint Formula
  8. Equation of a Circle
    1. Equation for a Circle
    2. Equation for a Circle Using the Pythagorean Theorem
  9. Quiz 2: Distance Formula and Applications
  10. Slope
    1. Slope of a Line 
    2. Slope of a Line 2 
    3. Slope and Rate of Change
  11. Parallel and Perpendicular Lines
    1. Parallel and perpendicular intro  
    2. Parallel and perpendicular lines from graph
    3. Slope of Parallel Lines
  12. Equations of Lines
    1. Parallel of lines from equation  
    2. Parallel lines from equation (example 2) 
    3. Perpendicular lines from equation   
    4. Writing equations of perpendicular lines 
    5. Given Two Points Find the Standard Form Equation of a Line
    6. Find the Equation of a Line Using the Point Slope Form
  13. Quiz 3: Slope and Lines
  14. Figures in the Coordinate Plane
    1. Circles in the Coordinate Plane
    2. Placing figures in the coordinate plane Part I
    3. Placing figures in the coordinate plane Part II  ​
  15. Proofs with Coordinate Geometry (1)
    1. Triangles and Coordinate Proof 
    2. Coordinate Geometry Proofs
  16. Proofs with Coordinate Geometry (2) (A continuation of the previous lesson.  Use the instructional presentations with that lesson for this assignment as needed)
  17. Quiz 4: Figures and Proofs
  18. Test
  19. Alternate Test
  20. Glossary and Credits
UNIT 10 – TRANSFORMATIONS
  1. Introduction: Rigid Motion, or Isometry
    1. Motion Geometry – Rotations, Reflections, Translations 
    2. Translations, Reflections, Rotations
    3. ​​Geometry – Transformations and Isometries 
    4. Transformational Geometry (Translations, Rotations, Reflections) 
  2. Isometry: Reflection
    1. Reflecting Line Across Another Line Example 
  3. Isometry: Translation
    1. Translation of Polygons
    2. Identifying Transformations  
    3. Rigid Transformation intro  
  4. Isometry: Rotation
    1. Rotating Segment About Origin Example  
    2. Rotation of Polygon Examples  ​ 
  5. Quiz 1: Isometry
  6. Transformation Sequences (You can use your Geometry Resources and previous videos in this section to aid your understanding of today’s assignment)
  7. Similarty Transformation: Dilation
    1. Geometry – Dilations
    2. Dilation of Objects on the Coordinate Plane 
    3. Dilation of One Line onto Another 
    4. Comparing Side Lengths After Dilation 
    5. Thinking About Dilations 
    6. Dilating from an Arbitrary Point Dilation 
  8. Product Transformation (Use the instructional presentations from the earlier assignments as needed for this lesson)
  9. Project: Transformations in the Plane
  10. ​Inverse and Identity Transformation (Use the instructional presentations from the earlier assignments as needed for this lesson)
  11. Quiz 2: Transformations
  12. Test
  13. Alternate Test
  14. Glossary and Credits
UNIT 11 GEOMETRIC APPLICATION
  1. Using SOH CAH TOA in Trigonometry
    1. Intro to the trigonometric ratios 
  2. Finding the Values of Trigonometric Functions
    1. Introduction to Trigonometric Functions
  3. Law of Sines
    1. The Law of Sines: The Basics
    2. Solving for a side with the law of sines 
    3. Solving for an angle with the law of sines 
    4. Proof of the law of sines 
  4. Quiz 1: Sines
  5. Ambiguity and Area of a Triangle
    1. Area Of A Non-Right Angle Triangle
  6. Law of Cosines: Finding a Side
    1. The Law of Cosines
  7. Law of Cosines: Finding an Angle
    1. The Law of Cosines
  8. Quiz 2: Cosines
  9. Modeling with Geometric Figures
  10. Density
    1. Population Density #1
  11. Geometry in Design
  12. Quiz 3: Modeling Geometry
  13. Test
  14. Alternate Test
  15. Glossary and Credits
UNIT 12 – PROBABILITY
  1. Definitions, Sample Spaces, and Probability
    1. Intro to Theoretical Probability  
    2. Simple Probability Yellow Marble 
  2. Addition of Probabilities
    1. Addition rule for probability 
    2. Addition Rule 
    3. Probability 12 of 12: Deck of Cards 
  3. Multiplication of Probabilities
    1. Compound Probability of Independent Events 
    2. Multiplication Rule 
  4. Quiz 1: Using Probability
  5. Definitions  
  6. Permutations of N Things: Different
    1. Permutation Formula 
    2. Permutations of r items taken from n, nPr 
  7. Permutations of N things: Not All Different
  8. Combinations
    1. Combination Formula 
    2. Intro to Combinations
    3. Combination Example: 9 cards
  9. Quiz 2: Probability
  10. Conditional Probability
    1. Conditional Probability Explained Visually 
    2. How to Calculate Conditional Probability 
  11. Conditional Probability in Real-World Situations
  12. Two-Way Frequency Tables
    1. Two-Way Relative Frequency Tables 
    2. Two-Way Tables: Probability – 
  13. Using Probability in Decision Making
  14. Quiz 3: Conditional Probability
  15. Test
  16. Alternate Test
  17. Glossary and Credits
UNIT 13 – SEMESTER REVIEW AND EXAM
  1. Review
  2. Exam
  3. Alternate Exam—Form A
  4. Alternate Exam—Form B
UNIT 14 – FINAL EXAM
  1. FINAL EXAM