Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 04

Organizers

  • Overview

  • 01 Circle Properties (5 hours)

    • ILO 01 Investigation 1: Chords
    • ILO 02 Investigation 2: Properties of Chords
    • ILO 03 Focus A: Congruent Triangles
    • ILO 04 Focus B: Proofs
    • ILO 05 Chapter Project - Circular Design

  • 02 Circles on a Coordinate System (5 hours)

    • ILO 01 Investigation 3: Parallel and Perpendicular Lines
    • ILO 02 Focus C: Where are the Washrooms?
    • ILO 03 Focus D: Chord Properties in a Coordinate System
    • ILO 04 Chapter Project - Circular Design

  • 03 Angles, Arcs, Tangents, and Sectors (8 hours)

    • ILO 01 Investigation 4: Angles and Arcs
    • ILO 02 Focus E: Proving Relationships
    • ILO 03 Investigation 5: Tangent Properties
    • ILO 04 Focus F: Proving Tangent Properties
    • ILO 05 Focus G: Tangent Properties in a Coordinate System
    • ILO 06 Chapter Project - Circular Designs

  • 04 Transforming Circles (6.5 hours)

    • ILO 01 Investigation 6: The Equation of a Circle
    • ILO 02 Investigation 7: Transformations of Circles
    • ILO 03 Focus H: Interpreting Equations of Circles
    • ILO 04 Focus I: Using a Graphing Calculator to Explore Transformations of the the Equation of a Circle
    • ILO 05 Focus J: Equations in Transformational Form
    • ILO 06 Investigation 8: The Equation of an Ellipse
    • ILO 07 Chapter Project - Circular Designs

  • 05 Examining the Circle as a Trigonometric Function (4 hours)

    • ILO 01 Investigation 9: Related Angles
    • ILO 02 Focus K: Finding  from a point
    • ILO 03 Investigation 10: Exploring Circles
    • ILO 04 Chapter Project - Circular Designs

  • 06 Putting It Together

    • ILO 01 Case Studies/Extension

  • 07 Review/Practice