Algebraic Curves and Conics

Selma Bayton, 2025/08/16

Group Project Selma Bayton, Lionel Thompson, & Couteney Zboyan

目次

  1. Chapter 1: Discovering Algebraic Curves: From Circles to Cubics
    1. Introduction
    2. Table of Contents
  2. Objectives
    1. Learning Objectives
    2. NCTM & Florida Best Standards
  3. Prior Knowledge
    1. Prior Knowledge
  4. TPACK Contents
    1. TPACK Venn Diagram
  5. Pedagogical Knowledge
    1. Pedagogical Knowledge
  6. Technology Knowledge
    1. Technological Knowledge
  7. Content Knowledge
    1. Content Knowledge
  8. Activities/Procedures
    1. Degree 2: Circle-Radius Exploration
    2. Tangents to an Ellipse
    3. Degree 2: Parabolas and Their Inverse
    4. Degree 2: Hyperbola
    5. Degree 3: Witch of Agnesi
    6. Degree 3: Folium of Descartes
    7. Degree 3: Cissoid of Diocles
    8. Degree 4: Lemniscate of Bernoulli
    9. Degree 4: Cassini ovals
  9. Examples in GeoGebra
    1. Circle-Radius and Center Exploration
    2. Exploring Hyperbolas: Connecting Equations, Graphs, and Geometry
    3. Ellipse Drag Test
    4. Lemniscate of Bernoulli Quiz
  10. Formative Assessment
    1. Formative Assessment
  11. Summative Assessment
    1. Summative Assessment
  12. Skills Gained
    1. Skilled Gained
  13. References
    1. References

1.

Chapter 1: Discovering Algebraic Curves: From Circles to Cubics

  • 1. Introduction
  • 2. Table of Contents

1.1.

–

1.2.

–

2.

Objectives

  • 1. Learning Objectives
  • 2. NCTM & Florida Best Standards

2.1.

–

2.2.

–

3.

Prior Knowledge

  • 1. Prior Knowledge

3.1.

–

4.

TPACK Contents

  • 1. TPACK Venn Diagram

4.1.

–

5.

Pedagogical Knowledge

  • 1. Pedagogical Knowledge

5.1.

–

6.

Technology Knowledge

  • 1. Technological Knowledge

6.1.

–

7.

Content Knowledge

  • 1. Content Knowledge

7.1.

–

8.

Activities/Procedures

  • 1. Degree 2: Circle-Radius Exploration
  • 2. Tangents to an Ellipse
  • 3. Degree 2: Parabolas and Their Inverse
  • 4. Degree 2: Hyperbola
  • 5. Degree 3: Witch of Agnesi
  • 6. Degree 3: Folium of Descartes
  • 7. Degree 3: Cissoid of Diocles
  • 8. Degree 4: Lemniscate of Bernoulli
  • 9. Degree 4: Cassini ovals

8.1.

–

8.2.

–

8.3.

–

8.4.

–

8.5.

–

8.6.

–

8.7.

–

8.8.

–

8.9.

–

9.

Examples in GeoGebra

  • 1. Circle-Radius and Center Exploration
  • 2. Exploring Hyperbolas: Connecting Equations, Graphs, and Geometry
  • 3. Ellipse Drag Test
  • 4. Lemniscate of Bernoulli Quiz

9.1.

–

9.2.

–

9.3.

–

9.4.

–

10.

Formative Assessment

  • 1. Formative Assessment

10.1.

–

11.

Summative Assessment

  • 1. Summative Assessment

11.1.

–

12.

Skills Gained

  • 1. Skilled Gained

12.1.

–

13.

References

  • 1. References

13.1.

–

情報