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Concept Maps

Relations and Functions — Concept Maps

ICSE · Class 12 · Mathematics

4 concept maps of Relations and Functions for ICSE Class 12 Mathematics, each also written out as a text outline.

104 questions28 flashcards16 formulas & key relations5 concepts

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A visual representation of a relation R from set A to set B as a subset of the Cartesian product A x B, showing elements of A mapped to elements of B.
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4 Concept Maps

Comprehensive Overview of Relations and Functions Chapter

Comprehensive Overview of Relations and Functions Chapter

The map in words

  • Relations and Functions
    • Cartesian Product
      • Definition
      • Properties
      • Ordered pairs
      • A × B) = n(A) × n(B
    • Relations
      • From A to B
        • Domain
        • Co-domain
        • Range
      • Inverse Relation
        • R⁻¹
        • Properties
      • On a Set
        • R ⊆ A × A
        • Properties
    • Standard Relations
      • Empty Relation
      • Universal Relation
      • Identity Relation
    • Relation Properties
      • Reflexive
        • (a,a) ∈ R
      • Symmetric
        • R = R⁻¹
      • Transitive
        • Chain rule
    • Equivalence Relation
      • Three properties
      • Equivalence Classes
        • Collection of related elements
      • Partition of Set
        • Disjoint classes
        • Union = original set
    • Applications
      • Social Networks
      • Databases
      • Classification
      • Cryptography

Shows how Cartesian Product creates all ordered pairs from two sets

Shows how Cartesian Product creates all ordered pairs from two sets

The map in words

  • Set A {1, 2}
    • Cartesian Product A × B
      • (1,a)
        • Total: 6 ordered pairs (2 × 3 = 6)
      • (1,b)
      • (1,c)
      • (2,a)
      • (2,b)
      • (2,c)
  • Set B {a, b, c}

Arrow diagram showing a relation from set A to set B with multiple connections

Arrow diagram showing a relation from set A to set B with multiple connections

The map in words

  • a₁
    • relates: b₁
    • relates: b₂
  • a₂
    • relates: b₃
  • a₃

Relations between sets and the special properties of relations on a set, leading to equivalence relations and partitions

Relations between sets and the special properties of relations on a set, leading to equivalence relations and partitions

The map in words

  • Relations between sets and the special properties of relations on a set, leading to equivalence relations and partitions
    • Cartesian Product
    • Relation from A to B
    • Relation on a set A
    • Domain, Co-domain and Range
    • Inverse Relation
    • Standard Relations on a Set
    • Types of Relations
    • Equivalence Relation

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Frequently Asked Questions

What are the important topics in Relations and Functions for ICSE Class 12 Mathematics?
Key topics in Relations and Functions include Cartesian Product and Relation, Domain, Co-domain, Range, and Inverse Relation, Standard Relations on a Set, Reflexive, Symmetric, and Transitive Relations. Study these first, then practise questions on each for the ICSE Class 12 board exam.
What do the concept maps for Relations and Functions show?
The 4 maps show how the ideas in Relations and Functions connect: Comprehensive Overview of Relations and Functions Chapter; Shows how Cartesian Product creates all ordered pairs from two sets. Each map is also written out as an outline on this page.
How should I revise Relations and Functions for the ICSE Class 12 board exam?
Learn the core ideas first, then work through the 104 practice questions on Relations and Functions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Relations and Functions

All ICSE Class 12 Mathematics Concept Maps

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