Geometry

Basic Concepts of Geometry

Lesson 1: Points, Lines, and Planes
Lesson 2: How to Name Angles
Lesson 3: How to Measure Angles
Lesson 4: Definition and Names of Polygons
Lesson 5: Parts of a Triangle
Lesson 6: Types of Triangles According to Sides and Angles
Lesson 7: Lines, Rays, and Segments
Lesson 8: Meaning of Collinear and Coplanar
Lesson 9: Congruence of Segments
Lesson 10: Congruence of Angles
Lesson 11: Complementary and Supplementary Angles
Lesson 12: Adjacent Angles and Linear Pairs
Lesson 13: Vertical Angles – Definition and Proof
Lesson 14: Parallel, Perpendicular, and Skew Lines

Quadrilaterals

Lesson 1: Basic Terminologies about Quadrilaterals
Lesson 2: Sum of the Interior Angles of Quadrilateral
Lesson 3: Definition of Parallelogram and Its Properties
Lesson 4: Proof that Opposite Sides of a Parallelogram are Congruent
Lesson 5: Proof that Opposite Angles of Parallelogram Are Congruent
Lesson 6: Proof that Diagonals of Parallelograms Divide it to Congruent Triangles
Lesson 7: Proof that Diagonals of a Parallelogram Bisect Each Other
Lesson 8: Proof that if Opposite Sides of a Quadrilateral are Congruent It is a Parallelogram
Lesson 9: Proof that if Opposite Angles of a Quadrilateral are Congruent It is a Parallelogram
Lesson 10:  If the diagonals of a quadrilateral bisect each other, it is a parallelogram
Lesson 11: If one pair of sides of a quadrilateral are both congruent and parallel, it is a parallelogram
Lesson 12:  Definitions of Rectangles, Rhombuses, and Squares
Lesson 13: Diagonals of a Rectangle are Congruent
Lesson 14:  Diagonals of a Rhombus are Perpendicular
Lesson 15:  Definition and Parts of a Trapezoid
Lesson 16: Base Angles of Isosceles Trapezoid are Congruent

Triangle Congruence

Lesson 1: Introduction to Triangle Congruence
Lesson 2: Minimum Conditions for Triangle Congruence
Lesson 3: The SSS Congruence
Lesson 4: The ASA Congruence
Lesson 5: The SAS Congruence
Lesson 6: Sample Proof Using SSS Congruence
Lesson 7: Sample Proof Using ASA Congruence
Lesson 8:  Sample Proof Using SAS Congruence
Lesson 9: Leg Leg Congruence (LL Congruence)
Lesson 10:  Leg Angle Congruence (LA Congruence)
Lesson 11: AAS Congruence and its Proof
Lesson 12: Hypotenuse Angle Congruence

Area

Lesson 1: Area of a Rectangle – Concept and Formula
Lesson 2: Area of a Rectangle – Sample Problems
Lesson 3: Area of a Square – Concept and Formula
Lesson 4: Area of a Square – Sample Problems
Lesson 5: Area of a Parallelogram – Concept and Formula
Lesson 6: Area of a Parallelogram – Sample Problems
Lesson 7: Area of a Triangle – Concept and Formula
Lesson 8: Area of a Triangle – Sample Problems
Lesson 9: Area of a Trapezoid – Concept and Formula
Lesson 10: Area of a Trapezoid – Sample Problems
Lesson 11: Area of a Circle – Concept and Formula
Lesson 12: Area of a Circle – Sample Problems

Surface Area

Lesson 1: Surface Area of a Cube
Lesson 2: Surface Area of a Rectangular Solid
Lesson 3: Surface Area of a Cylinder
Lesson 4: Surface Area of a Cone
Lesson 5: Surface Area ofa Sphere

Volume

Lesson 1: Introduction to the Concept of Volume
Lesson 2: Volume of a Rectangular Solid Part 1
Lesson 3: Volume of a Rectangular Solid Part 2
Lesson 4: Volume of a Cube Part 1
Lesson 5: Volume of a Cube Part 2
Lesson 6: Volume of a Pyramid Part 1
Lesson 7: Volume of a Pyramid Part 2
Lesson 8: Volume of a Cylinder Part 1
Lesson 9: Volume of a Cylinder Part 2
Lesson 10: Volume of a Cone Part 1
Lesson 11: Volume of a Cone Part 2
Lesson 12: Volume of a Sphere