Geometry

US High School

Course Overview

Lessons & Practice

I. Welcome

1. Foundations of Geometry

2.4hr

1.1.1. Points, Lines, and Planes4 min

1.1.2. Example3 min

1.1.3. Practice Level 12 min

1.1.4. Practice Level 22 min

1.1.5. Practice Level 33 min

1.2.1. Line Segments and Rays4 min

1.2.2. Example4 min

1.2.3. Practice Level 153 sec

1.2.4. Practice Level 22 min

1.2.5. Practice Level 33 min

1.3.1. Measuring7 min

1.3.2. Basic Constructions5 min

1.3.3. Constructing congruent segments2 min

1.3.4. Example4 min

1.3.5. Practice Level 14 min

1.3.6. Practice Level 24 min

1.3.7. Practice Level 35 min

1.4.1. Midpoint of a Line Segment3 min

1.4.2. Constructing a segment bisector using a reflection45 sec

1.4.3. Example3 min

1.4.4. Midpoint Formula2 min

1.4.5. Example2 min

1.4.6. Practice Level 12 min

1.4.7. Practice Level 24 min

1.4.8. Practice Level 37 min

1.5.1. Length of a Line Segment2 min

1.5.2. Example3 min

1.5.3. Practice Level 12 min

1.5.4. Practice Level 23 min

1.5.5. Practice Level 39 min

1.6.1. Angles2 min

1.6.2. Measuring Angles3 min

1.6.3. Constructing congruent angles3 min

1.6.4. Example5 min

1.6.5. Practice Level 13 min

1.6.6. Practice Level 23 min

1.6.7. Pairs of Angles5 min

1.6.8. Constructing an angle bisector3 min

1.6.9. Example4 min

1.6.10. Practice Level 25 min

1.6.11. Practice Level 36 min

2. Reasoning and Proofs

40min

2.1.1. Postulates5 min

2.1.2. Example2 min

2.1.3. Practice Level 13 min

2.1.4. Practice Level 23 min

2.1.5. Practice Level 34 min

2.2.1. Theorems and Proofs10 min

2.2.2. Example4 min

2.2.3. Practice Level 13 min

2.2.4. Practice Level 23 min

2.2.5. Practice Level 34 min

3. Lines

1.1hr

3.1.1. Pairs of Lines4 min

3.1.2. Constructing perpendicular lines2 min

3.1.3. Construct a perpendicular bisector2 min

3.1.4. Example5 min

3.1.5. Practice Level 12 min

3.1.6. Practice Level 23 min

3.1.7. Practice Level 33 min

3.2.1. Angles from Intersecting Lines4 min

3.2.2. Constructing a pair of parallel lines3 min

3.2.3. Example4 min

3.2.4. Practice Level 14 min

3.2.5. Practice Level 24 min

3.2.6. Practice Level 3 4 min

3.3.1. Equations of Parallel & Perpendicular Lines7 min

3.3.2. Practice5 min

3.3.3. Practice4 min

3.3.4. Practice Level 35 min

5. Triangles

1.5hr

5.1.1. Theory4 min

5.1.2. Example5 min

5.1.3. Practice Level 12 min

5.1.4. Practice Level 24 min

5.1.5. Practice Level 34 min

5.2.1. Classifying Triangles3 min

5.2.2. Construct an equilateral triangle2 min

5.2.3. Practice Level 13 min

5.2.4. Example7 min

5.2.5. Practice Level 26 min

5.2.6. Practice Level 37 min

5.3.1. Line Segments & Centers of Triangles8 min

5.3.2. Construct the centroid of a triangle2 min

5.3.3. Example9 min

5.3.4. Practice Level 210 min

5.3.5. Practice Level 310 min

5.3.6. Example7 min

6. Congruent & Similar Triangles

54min

7. Quadrilaterals

57min

7.1.1. Classifying Quadrilaterals 4 min

7.1.2. Practice Level 14 min

7.1.3. Example5 min

7.1.4. Practice Level 28 min

7.1.5. Practice Level 37 min

7.2.1. Example11 min

7.2.2. Practice Level 28 min

7.2.3. Practice Level 39 min

7.2.5. Practice

7.2.6. Practice

8. Polygons

41min

8.1.1. Similar Polygons2 min

8.1.2. Practice Level 25 min

8.2.1. Definitions3 min

8.2.2. Review: Interior Angles in a Triangle2 min

8.2.3. Example1 min

8.2.4. Practice2 min

8.2.5. Interior Angles in a Polygon6 min

8.2.6. Practice Level 12 min

8.2.7. Practice Level 22 min

8.2.8. Practice Level 34 min

8.3.1. Definitions7 min

8.3.2. Practice Level 23 min

8.3.3. Practice Level 22 min

9. Trigonometry of Right Triangles

1.8hr

9.1.1. Pythagorean Theorem5 min

9.1.2. Example5 min

9.1.3. Practice Level 14 min

9.1.4. Practice Level 26 min

9.1.5. Practice Level 34 min

9.2.1. How to Label a Right-Angle Triangle?6 min

9.2.2. Practice Level 11 min

9.2.3. The Story of the 3 Primary Trig Ratios3 min

9.2.4. Primary Trig Ratios--

\sin

\cos

\tan

9.2.5. Practice Level 1

9.2.6. Example2 min

9.2.7. Practice Level 22 min

9.2.8. Example3 min

9.2.9. Practice Level 22 min

9.2.10. Practice Level 22 min

9.2.11. Practice Level 32 min

9.3.1. Example6 min

9.3.2. Practice Level 1

9.3.3. Practice Level 22 min

9.3.4. Practice Level 23 min

9.3.5. Practice Level 35 min

9.4.1. Finding Angles Using Primary Trig Ratios6 min

9.4.2. Practice Level 1

9.4.3. Practice Level 12 min

9.4.4. Example4 min

9.4.5. Practice Level 2

9.5.1. Solving a Right Triangle2 min

9.5.2. Practice Level 23 min

9.5.3. Practice Level 33 min

9.6.1. How can we Use Trigonometry in Real Life?2 min

9.6.2. Right Angle Triangle Problems1 min

9.6.3. Example6 min

9.6.4. Practice Level 36 min

9.6.5. Practice Level 32 min

9.6.6. Practice Level 33 min

9.6.7. Practice Level 33 min

10. Trigonometry of Acute Triangles

1.5hr

11. Circles

1.6hr

11.1.1. Vocabulary of Circles5 min

11.1.2. Construct a tangent line to a circle2 min

11.1.3. Example3 min

11.1.4. Practice Level 12 min

11.1.5. Practice Level 23 min

11.1.6. Practice Level 36 min

11.2.1. Arcs and Circles5 min

11.2.2. Chords of Circles3 min

11.2.3. Construct a circle inside a triangle3 min

11.2.4. Example4 min

11.2.5. Practice Level 1

11.2.6. Practice Level 2

11.2.7. Practice Level 3

11.3.1. Angles and Circles4 min

11.3.2. Construct a circle around a triangle2 min

11.3.3. Example2 min

11.3.4. Practice Level 1

11.3.5. Practice Level 2

11.3.6. Practice Level 3

11.3.7. Construct a square inside of a circle2 min

11.3.8. Construct a regular pentagon inside of a circle5 min

11.4.1. Angles and Circles5 min

11.4.2. Segments and Circles4 min

11.4.3. Example5 min

11.4.4. Practice Level 1

11.4.5. Practice Level 2

11.4.6. Practice Level 3

11.5.1. Equation of a Circle around the Centre (Origin)2 min

11.5.2. Example3 min

11.5.3. Example11 min

11.5.4. Practice Level 13 min

11.5.5. Practice Level 23 min

11.5.6. Practice Level 39 min

12. 2D Measurements

44min

12.1.1. Review: Perimeter and Area of 2D Figures7 min

12.1.2. Example7 min

12.1.3. Practice Level 15 min

12.1.4. Practice Level 23 min

12.1.5. Practice Level 3

12.2.1. Optimal/Optimum Measurement2 min

12.2.2. Example4 min

12.2.3. Example4 min

12.2.4. (Summary) Optimal Areas & Perimeters of Rectangles3 min

12.2.5. Practice Level 13 min

12.2.6. Practice Level 13 min

12.2.7. Practice Level 24 min

12.2.8. Practice Level 3

13. 3D Measurements

1.4hr

13.1.1. Prisms3 min

13.1.2. Surface Area of a Prism3 min

13.1.3. Practice Level 159 sec

13.1.4. Practice Level 23 min

13.1.5. The Volume of a Prism1 min

13.1.6. Practice Level 142 sec

13.1.7. Practice Level 22 min

13.1.8. Practice Level 36 min

13.2.1. Surface Area of a Cylinder2 min

13.2.2. Practice Level 12 min

13.2.3. Volume of a Cylinder32 sec

13.2.4. Practice Level 11 min

13.2.5. Practice Level 33 min

13.3.1. Surface Area of a Right Pyramid3 min

13.3.2. Practice Level 14 min

13.3.3. Volume of a Right Pyramid57 sec

13.3.4. Practice Level 11 min

13.3.5. Practice Level 26 min

13.3.6. Practice Level 39 min

13.4.1. Surface Area of a Right Cone5 min

13.4.2. Practice Level 12 min

13.4.3. Volume of a Right Cone35 sec

13.4.4. Practice Level 11 min

13.4.5. Practice Level 25 min

13.4.6. Practice Level 33 min

13.5.1. Surface Area of a Sphere1 min

13.5.2. Practice Level 157 sec

13.5.3. Volume of a Sphere2 min

13.5.4. Practice Level 12 min

13.5.5. Practice Level 25 min

13.5.6. Practice Level 32 min

13.6.1. Practice

13.6.2. Practice

13.6.3. Practice

13.7.1. Activity: Surface Area and Volume of Prisms

13.7.2. Activity: Surface Area and Volume of Cylinders

13.7.3. Optimal Surface Area and Volume of Prisms & Cylinders

14. Probability and Counting

2.4hr

14.1.1. Events & Sample Spaces6 min

14.1.2. Types of Probability6 min

14.1.3. Probability Language & Notation4 min

14.1.4. Example3 min

14.1.5. Independent vs. Mutually Exclusive Events4 min

14.1.6. Example2 min

14.1.7. Practice

14.2.1. Venn Diagrams3 min

14.2.2. Tree Diagrams4 min

14.2.3. Two-way Table5 min

14.3.1. Interpretation of Probability2 min

14.3.2. Complement Rule3 min

14.3.3. Practice1 min

14.3.4. The Addition Rule4 min

14.4.1. Probability of Independent Events4 min

14.4.2. Example3 min

14.4.3. Practice2 min

14.5.1. Probability of Dependent Events (Conditional Probability)7 min

14.5.2. Conditional Probability: Tree Diagram5 min

14.5.3. Bayes’ Theorem4 min

14.5.4. Example4 min

14.5.5. Practice3 min

14.6.1. Example6 min

14.6.2. Example7 min

14.6.3. Example7 min

14.6.4. Practice4 min

14.6.5. Practice5 min

14.6.6. Summary of Key Definitions6 min

14.7.1. Fundamental Counting Principle6 min

14.7.2. Permutations and Combinations6 min

14.7.3. Practice1 min

14.7.4. Practice54 sec

14.7.5. More Combination Rules3 min

14.7.6. Example4 min

14.7.7. Practice3 min

14.7.8. Practice

14.8.1. Counting and Probability3 min

14.8.2. Example

14.8.3. Practice1 min

I Welcome

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Welcome to Geometry
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