Discrete Probability Theory

Selma Bayton, 2023年6月24日

Discrete Math - Group Project Selma Bayton Marie Borrazzo Oscar Robinson

内容目录

  1. Chapter 1: Discrete Probability Theory
    1. Copy of Course Description
    2. Intersection ofHW WEEK 3
  2. Objectives
    1. Learning Objectives
    2. Florida B.E.S.T Standards for Mathematics
  3. Prior Knowledge
    1. Activating Prior Knowledge
  4. TPACK Contexts
    1. TPACK Framework
    2. TPACK Venn Diagram
  5. Technology Knowledge
    1. MAD Teaching mathematics with technology
    2. MAD Technology Knowledge
    3. TI-84 MAD Binomial Probabilities as TI Calculations
    4. Exploring DESMOS in MAD using GeoGebra
  6. Pedagogical Knowledge
    1. Understanding Students' Needs
  7. Content Knowledge
    1. 1) Discrete Probability Spaces
    2. 2) Conditional Probabilities
    3. 3) Independent Events, Product Spaces, and the Binomial Density
    4. 4) Dependent Trials and Tree Diagrams
    5. 5) Random Variables and Their Density Functions: Expectations
  8. Examples in GeoGebra
    1. Think Pair Share: Notation used when Describing Venn Diagrams
    2. Think Aloud: MAD uses Shading of Venn -diagram
    3. MAD Build Your Own Discrete Random Variable
    4. Exploring Conditional Probabilities and Independence
    5. Discrete Math: Fundamental Principle of Counting
    6. Description: Inclusive and Mutually Exclusive Independent Events
    7. Description: Two Independent Events Simulation
    8. Combinations of different cards (distinguishable objects)
    9. Week 2 Chapter 3 : Individual Journal AssignmentPascal's Triangle & Binomial Coefficients
    10. Basics of Truth Tables
  9. Activities/Procedures
    1. Guided Notes
    2. Vocabulary Builder
  10. Formative Assessment
    1. Formative Assessment
  11. Summative Assessment
    1. Summative Assessment
  12. Skills Gained
    1. Developed Competencies
    2. Skills Gained
  13. Resources/References
    1. References

1.

Chapter 1: Discrete Probability Theory

  • 1. Copy of Course Description
  • 2. Intersection ofHW WEEK 3

1.1.

–

1.2.

–

2.

Objectives

  • 1. Learning Objectives
  • 2. Florida B.E.S.T Standards for Mathematics

2.1.

–

2.2.

–

3.

Prior Knowledge

  • 1. Activating Prior Knowledge

3.1.

–

4.

TPACK Contexts

  • 1. TPACK Framework
  • 2. TPACK Venn Diagram

4.1.

–

4.2.

–

5.

Technology Knowledge

Using the YI 84 Calculator Using DESMOS Using My Math lab

  • 1. MAD Teaching mathematics with technology
  • 2. MAD Technology Knowledge
  • 3. TI-84 MAD Binomial Probabilities as TI Calculations
  • 4. Exploring DESMOS in MAD using GeoGebra

5.1.

–

5.2.

–

5.3.

–

5.4.

–

6.

Pedagogical Knowledge

  • 1. Understanding Students' Needs

6.1.

–

7.

Content Knowledge

  • 1. 1) Discrete Probability Spaces
  • 2. 2) Conditional Probabilities
  • 3. 3) Independent Events, Product Spaces, and the Binomial Density
  • 4. 4) Dependent Trials and Tree Diagrams
  • 5. 5) Random Variables and Their Density Functions: Expectations

7.1.

–

7.2.

–

7.3.

–

7.4.

–

7.5.

–

8.

Examples in GeoGebra

  • 1. Think Pair Share: Notation used when Describing Venn Diagrams
  • 2. Think Aloud: MAD uses Shading of Venn -diagram
  • 3. MAD Build Your Own Discrete Random Variable
  • 4. Exploring Conditional Probabilities and Independence
  • 5. Discrete Math: Fundamental Principle of Counting
  • 6. Description: Inclusive and Mutually Exclusive Independent Events
  • 7. Description: Two Independent Events Simulation
  • 8. Combinations of different cards (distinguishable objects)
  • 9. Week 2 Chapter 3 : Individual Journal AssignmentPascal's Triangle & Binomial Coefficients
  • 10. Basics of Truth Tables

8.1.

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8.2.

–

8.3.

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8.4.

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8.5.

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8.6.

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8.7.

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8.8.

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8.9.

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8.10.

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9.

Activities/Procedures

  • 1. Guided Notes
  • 2. Vocabulary Builder

9.1.

–

9.2.

–

10.

Formative Assessment

  • 1. Formative Assessment

10.1.

–

11.

Summative Assessment

  • 1. Summative Assessment

11.1.

–

12.

Skills Gained

  • 1. Developed Competencies
  • 2. Skills Gained

12.1.

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12.2.

–

13.

Resources/References

  • 1. References

13.1.

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