Cleveland Geometry

Taula de continguts

• Triangle Properties

  • The Ambiguous Case
  • Ambiguous Case of Side-Side-Angle Triangle
  • Side-Side-Side Congruency
  • ASA congruence
  • Alternate interior angles
  • Alternate Exterior Angles
  • Translation
  • Converse of Pythagorean Theorem
  • SAS Similarity Investigation
  • AA Triangle Similarity Investigation
  • SSS Similarity Investigation

• Polygonal Properties

  • Regular Polygon
  • Polygons & Angles
  • Will It Tessellate?
  • Polygon Definitions
  • Sum of exterior angles of a polygon
  • Determining the properties of a Parallelogram
  • Properties: parallelogram
  • Tranlation-4
  • Rotations Exploration
  • Area of a Regular Polygon
  • Net of a Dodecahedron
  • Classic net of the cube
  • Nets of Tetrahedron
  • Net of Hexagonal Prism
  • Net of a Square Pyramid
  • Net of a Cylinder
  • Net of a Cone
  • Net of Pyramid
  • Net of a triangular prism

• Circle Properties

  • Congruent Chords and their Central Angles - Large Font
  • Congruent Chords and Distance from Center
  • Circle arc radian
  • A Rolling Circle
  • Tangent Lines and Inscribed Angles
  • Construction of Tangents to a circle
  • Inscribed Angle Properties
  • Inscribed Angle Theorem
  • Arc Length Pizza Crust Model
  • Discovering the Equation of the Circle

• Circle Sectors, Area, & Circumference

  • Example 1
  • Area of a Circle - Wedge Demo 1
  • Area of a Circle - Wedge/Sector Demonstration
  • Archimedes' Simulation of Pi Calculation upto 200-gon
  • Inscribed and Circumscribed Polygons

• 6.2 Tangent Properties

  • Review Circle Terms
  • Tangent Line
  • Define Secant Line
  • Comparing Tangent and Secant Lines
  • Tangent Segments Conjecture
  • Construct a Tangent Line From a Point Outside a Circle

• 6.3 Arcs and Angles

  • Circle Vocabulary Exploration
  • Central and Inscribed Angles
  • Inscribed Angles and Central Angle
  • Relationship between central and inscribed angles
  • Angles Inscribed in a Semicircle
  • Cyclic Quadrilaterals Exploration
  • Parallel Lines and Intercepted Arcs

• Challenge Proofs

  • the famous "1/5" square
  • supplementary angles
  • square vs rhombus

• Refresh

  • Number Line Integer Sum Exploration
  • Compare Fractions

• Geometry of Solids

  • Principi de Cavalieri per prismes oblics
  • All solids of Platon rotate
  • Volume of Sphere Proof
  • Faces, Vertices and Edges of a Cube
  • Volume of a Rectangular Prism
  • Cube Trisection

• Trigonometry

  • Right Triangle Exploration
  • Investigating Trigonometry 3
  • Investigating Trigonometry Functions
  • right triangle trigonometry-1
  • Find Building Height
  • Geometry problem
  • the height of the pyramid