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Geometry (Upper Elementary 9-12)
Welcome to the course
Introduction and overview of the upper elementary Geometry curriculum (2:54)
Module 1: The study of lines and angles
The Diagonal (5:22)
The Transversal and its Angles (Interior and Exterior Angles) (4:49)
Corresponding, alternate, and vertical opposite angles (8:19)
Co-interior and Supplementary Angles (2:42)
Adjacent and Complementary Angles (4:50)
Module 2: The Study of Triangles
Discovering the Altitude/Height of the Triangle (9:42)
Orthocenter of a Triangle (6:12)
Constructing an Equilateral Triangle with a Compass (3:37)
Constructing an Isosceles Triangle with a Compass (3:04)
Constructing a Scalene Triangle with a Compass (3:52)
Sum of the Interior Angles of a Triangle (5:56)
Module 3: The Study of Quadrilaterals
Types of Quadrilaterals (16:38)
Constructing a Square with the Compass (5:27)
Constructing a rectangle with the compass (5:52)
Constructing a Parallelogram with a Compass (3:14)
How to Construct a Rhombus with a Compass (4:25)
How to Construct a Trapezoid with a Compass (3:06)
Sum of the Interior Angles of a Quadrilateral (5:43)
Module 4: The study of circles
Discovering the Circumference of the Circle (6:05)
Calculating the Circumference of a Circle (The formula) (5:41)
Area of the Circle (Using the Formula) (6:23)
Module 5: The Study of area (Using the Yellow Triangles and Equivalency Insets)
Area of a rectangle presentation 2 (5:22)
Area of a triangle (6:26)
Area of a parallelogram (4:48)
Finding the area of a trapezoid using the equivalency insets (7:07)
Finding the area of a regular polygon (decagon) Presentation 1 (11:16)
Finding the area of a regular polygon (decagon) Presentation 2 (6:17)
Module 6: Equivalency
Equivalency with the constructive triangles (Triangular Box Presentation 1) (10:24)
Equivalency with the constructive triangles (Triangular Box Presentation 2) (4:28)
Congruent, similar, and equivalent Presentation 1 (4:49)
Congruent, similar, and equivalent Presentation 2 (2:25)
Module 7: Pythagoras Theorem
Overview to Pythagoras Theorem (Rope) (4:15)
Pythagoras Theorem Plate 1 (Isosceles Right-Angle Triangle) (3:29)
Pythagoras Theorem Plate 2 (Scalene Right-Angle triangle) (2:36)
Module 8: Volume and Capacity
Introduction to Volume (6:36)
Exploring the third dimension (4:48)
Formula of calculating the volume (2:10)
Difference between area, surface area, and volume (10:21)
Calculating the Volume of a Rectangular Prism (8:51)
Volume of a Prism with Triangular Base (4:01)
Volume of a Pyramid with Square Base (5:47)
Volume of a Cylinder (3:13)
Volume of a Cone (5:01)
Volume of a Sphere (4:46)
The Nail Board
Introduction to the Nail Board (1:40)
The Nail Board Presentation 1 (2:58)
The Nail Board Presentation 2 (Reflections) (2:05)
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Congruent, similar, and equivalent Presentation 1
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