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10 Modules / ~100 pages
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~25 Modules / ~400 pages
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High School Geometry
( 25 Modules )

Module #1
Introduction to Geometry
Overview of geometry, importance, and basic concepts
Module #2
Points, Lines, and Planes
Definitions and properties of points, lines, and planes
Module #3
Angles and Measurement
Types of angles, measuring angles, and angle relationships
Module #4
Properties of Lines
Line segments, rays, and lines, including midpoint and distance formulas
Module #5
Properties of Planes
Plane geometry, including intersecting planes and angles between planes
Module #6
Basic Postulates and Theorems
Introduction to postulates and theorems in geometry, including the Ruler Postulate and the Angle Addition Postulate
Module #7
Proofs and Theorems
Introduction to geometric proofs, including direct and indirect proofs
Module #8
Congruent Figures
Definition and properties of congruent figures, including triangles and quadrilaterals
Module #9
Similar Figures
Definition and properties of similar figures, including triangles and quadrilaterals
Module #10
Properties of Triangles
Properties of triangles, including interior angles, exterior angles, and side lengths
Module #11
Right Triangles
Properties of right triangles, including trigonometry and Pythagorean theorem
Module #12
Oblique Triangles
Properties of oblique triangles, including law of sines and law of cosines
Module #13
Quadrilaterals
Properties of quadrilaterals, including rectangles, squares, and trapezoids
Module #14
Polygons
Properties of polygons, including perimeter, area, and interior angles
Module #15
Circles
Properties of circles, including center, radius, and circumference
Module #16
Circle Theorems
Theorems and proofs related to circles, including inscribed angles and central angles
Module #17
Three-Dimensional Geometry
Introduction to three-dimensional geometry, including surface area and volume of solids
Module #18
Surface Area of Solids
Calculating surface area of various solids, including prisms, pyramids, and spheres
Module #19
Volume of Solids
Calculating volume of various solids, including prisms, pyramids, and spheres
Module #20
Spherical Geometry
Properties of spheres, including great circles and spherical trigonometry
Module #21
Transformations
Introduction to geometric transformations, including translations, rotations, and reflections
Module #22
Symmetry and Tessellations
Properties of symmetric figures and tessellations
Module #23
Geometric Modeling
Applications of geometry in real-world modeling and problem-solving
Module #24
Geometry in Art and Design
Applications of geometry in art, architecture, and design
Module #25
Course Wrap-Up & Conclusion
Planning next steps in High School Geometry career


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