!!!!Sets with Mr Downes

Mohamed jihan, J.LOUIS AUGUSTUS, Ronan Downes, Aug 27, 2020

The concept of the SET is so fundamental to maths that it is called an [b]undefined term[/b]. You might think of it as a collection of objects but we have to always be able to distinguish between the items in the set. The good news is that because it is undefined you cannot be asked to define it in an exam. They are not only a clever mathematical tool that we use to describe and solve all sorts of problems from the real world but they are also embedded in the very fabric of all of the major strands of maths. The notation and terminology might seem a little strange at first.and it will take you a while to become fluent in using the new words and phrases but my advice is not to worry too much about all the new notation and terminology at the beginning but rather build your understanding of the main concept and ideas and you will get plenty of practice at retrieving and using the key words no matter what chapter you happen to be studying.

Table of Contents

  1. Introduction, reflection and purpose
    1. Sets Slides AM1 -improved
    2. Sets Slides AM2 -improved
    3. Sets Text -advanced
    4. Mr Downes' Original Slides- pending
    5. Maths is Fun Site
    6. Maths is Fun Site
  2. Two Sets (mainly 1st Year)
    1. 共通部分と和集合（intersection and union）
    2. Operations of 2 random sets is List (Roster) Form
    3. Union and Intersection of sets using the Lists Method
    4. set theory 1.3
    5. Operation of sets_16_cases
    6. Operation of 2 Sets
    7. Self Assessment of Shading Venn Diagrams
    8. Set Theory 1.4
    9. Venn Diagrams
    10. Set Notation & Venn Diagrams
    11. Describing Venn Diagrams using Set Notation & Words
    12. Venn diagram calculator
    13. Venn diagram
    14. Venn Diagram for set theory
    15. Regions of a Venn Diagram with Two Sets
  3. Three-sets (mainly second and third year)
    1. 3-set Venn diagram with local subset regions labelled with numbers
    2. Venn diagram shading with 2 and 3 sets
    3. Venn Diagram (3 Sets)
    4. Illustrating set operations with Venn Diagrams
    5. Three- Sets Regions
    6. Operation of 3 Sets #3
    7. Operation of 3 Sets #1
    8. Set Quiz
    9. Classificazione di numeri
  4. Enrichment
    1. The Real Number System
    2. Domain and Range Animation
    3. Sketching Lines
    4. Describing Sets of Numbers
    5. Probability Tree & Venn Diagrams
    6. Probability Venn Diagram
    7. Interval Notation: Quiz (Single Sets & Conjunctions)
    8. Interval Notation
    9. Function Compositions with Set notation
    10. Power of a Set on wikipedia
    11. Set theory on wikipedia
    12. Set Theory
    13. Appendix-Set Operations
    14. Function Machine 1
    15. IkigaiDemo
  5. Application to probability
    1. Probability
  6. Connections, Links, Narration, Extensions and areas for development
  7. Differentiation-Enablers and Extentions
  8. Literacy
  9. Mistakes
    1. Prime Factor Calculator

1.

Introduction, reflection and purpose

  • 1. Sets Slides AM1 -improved
  • 2. Sets Slides AM2 -improved
  • 3. Sets Text -advanced
  • 4. Mr Downes' Original Slides- pending
  • 5. Maths is Fun Site
  • 6. Maths is Fun Site

1.1.

Sets Slides AM1 -improved

https://docs.google.com/presentation/d/1dLENCMu-PWl5Vi60iO5oVH_VyyakzWRS1Ppmqlj1cQs/edit?usp=sharing
– Ronan Downes

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Two Sets (mainly 1st Year)

If $A$ is a subset of $B$, we also say that $B$ is a superset of $A$.

  • 1. 共通部分と和集合（intersection and union）
  • 2. Operations of 2 random sets is List (Roster) Form
  • 3. Union and Intersection of sets using the Lists Method
  • 4. set theory 1.3
  • 5. Operation of sets_16_cases
  • 6. Operation of 2 Sets
  • 7. Self Assessment of Shading Venn Diagrams
  • 8. Set Theory 1.4
  • 9. Venn Diagrams
  • 10. Set Notation & Venn Diagrams
  • 11. Describing Venn Diagrams using Set Notation & Words
  • 12. Venn diagram calculator
  • 13. Venn diagram
  • 14. Venn Diagram for set theory
  • 15. Regions of a Venn Diagram with Two Sets

2.1.

共通部分と和集合（intersection and union）

共通部分と和集合（intersection and union）のシート
共通部分と和集合（intersection and union）
– Takayuki Kamei

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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3.

Three-sets (mainly second and third year)

  • 1. 3-set Venn diagram with local subset regions labelled with numbers
  • 2. Venn diagram shading with 2 and 3 sets
  • 3. Venn Diagram (3 Sets)
  • 4. Illustrating set operations with Venn Diagrams
  • 5. Three- Sets Regions
  • 6. Operation of 3 Sets #3
  • 7. Operation of 3 Sets #1
  • 8. Set Quiz
  • 9. Classificazione di numeri

3.1.

3-set Venn diagram with local subset regions labelled with numbers

Venn diagram of three sets.Press on buttons for required result.Reset or click [math]\varnothing[/math] on the bottom right for No result. Note that here we see a third type of use of numbers on a Venn diagram where the numbers in [color=#ff0000]red [/color]are labels for local subsets.
– Ronan Downes, Ramaswamy kodam

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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4.

Enrichment

Connections, Links, Narration, Extensions and areas for development

  • 1. The Real Number System
  • 2. Domain and Range Animation
  • 3. Sketching Lines
  • 4. Describing Sets of Numbers
  • 5. Probability Tree & Venn Diagrams
  • 6. Probability Venn Diagram
  • 7. Interval Notation: Quiz (Single Sets & Conjunctions)
  • 8. Interval Notation
  • 9. Function Compositions with Set notation
  • 10. Power of a Set on wikipedia
  • 11. Set theory on wikipedia
  • 12. Set Theory
  • 13. Appendix-Set Operations
  • 14. Function Machine 1
  • 15. IkigaiDemo

4.1.

The Real Number System

Match the symbols and the descriptions with the appropriate number set.
– shanlee

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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4.14.

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4.15.

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5.

Application to probability

  • 1. Probability

5.1.

Probability

Probability-Venn diagram
Basic Probability
– D.Vasu Raj

6.

Connections, Links, Narration, Extensions and areas for development


    This chapter does not contain any resources yet.

7.

Differentiation-Enablers and Extentions


    This chapter does not contain any resources yet.

8.

Literacy


    This chapter does not contain any resources yet.

9.

Mistakes

  • 1. Prime Factor Calculator

9.1.

Prime Factor Calculator

Prime Factor Calculator
– Mr_Stewart_Maths

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