Geometry

Points, Lines, Planes, Angles, Circles, Triangles, Quadrilaterals, Pythagorean Theorem, Conic Sections, Proofs, and More

Geometry has three main areas of emphasis: the vocabulary of geometry, practical applications of geometry, and traditional geometry, including proofs. Topics include lines, angles, area, perimeter, volume, Pythagorean theorem, axioms and postulates, congruency, and similarity. An introduction to trigonometric functions is included to prepare students for testing they may do before taking a trigonometry course.

Student Pack

For customers who already have the needed instructor materials.

The Student Pack includes:

• Student Workbook
• Tests booklet

Each student will need their own Student Workbook and Tests booklet.

Scope and Sequence:

• Lesson 01: Points, Lines, Rays, and Line Segments
• Lesson 02: Planes and Sets
• Lesson 03: Angles
• Lesson 04: Types of Angles
• Lesson 05: Parallel and Perpendicular Lines with Midpoints and Bisectors
• Lesson 06: Supplementary and Complementary Angles
• Lesson 07: Transversals with Interior and Exterior Angles
• Lesson 08: Perimeter and Interior Angles of a Rectangle, Triangle, Parallelogram, and Trapezoid
• Lesson 09: Area of a Rectangle, Triangle, Parallelogram, and Trapezoid
• Lesson 10: Constructing and Identifying Triangles
• Lesson 11: Regular Polygons
• Lesson 12: Geometry of a Circle, Sphere and Ellipse; Inscribed and Circumscribed Figures
• Lesson 13: Area and Circle and Ellipse; Circumference of a Circle; Latitude and Longitude
• Lesson 14: Volume of Rectangular Solid and Cylinder
• Lesson 15: Volume of Pyramid, Cone, Prism, and Sphere
• Lesson 16: Surface Area of Solids
• Lesson 17: Radicals
• Lesson 18: Pythagorean Theorem
• Lesson 19: More on Radicals
• Lesson 20: Special Triangles: (45°-45°-90°)
• Lesson 21: Special Triangles: (30°-60°-90°)
• Lesson 22: Axioms, Postulates, and Theorems
• Lesson 23: Corresponding Parts of Triangles and Remote Interior Angles
• Lesson 24: Proving Triangles Congruent with SSS and SAS
• Lesson 25: Proving Triangles Congruent with ASA and AAS; Amplified Parallelogram Theorem
• Lesson 26: Proving Triangles Congruent with HL, LL, HA, and LA
• Lesson 27: Proving Triangles Similar with AA and Proportion or Ratio
• Lesson 28: Transformational Geometry
• Lesson 29: Trigonometric Functions: Sine, Cosine, and Tangent
• Lesson 30: Inverse Trigonometric Functions: Secant, Cosecant, and Cotangent; Sin² + Cos² = 1

Level Overview

Sample Lesson