Theory of Intelligence
9TH•Mathematics•Sets And Functions•3.1 Patterns, Structures and Basic Definitions

Students' Learning Outcomes

Mathematics as patterns and structures; sets, subsets, power set, and number sets.

Students' Learning Outcomes

At the end of the unit, the students will be able to:

  • Recall:
    • Describe mathematics as the study of patterns, structure, and relationships.
    • Identify sets and apply operations on three sets (Subsets, overlapping sets and disjoint sets), using Venn diagrams.
  • Solve problems on classification and cataloguing by using Venn diagrams for scenarios involving two sets and three sets. Further application of sets.
  • Verify and apply properties/laws of union and intersection of three sets through analytical and Venn diagram methods.
  • Apply concepts from set theory to real-world problems (such as in demographic classification, categorizing products in shopping malls)
  • Explain product, binary relations and its domain and range.
  • Recognize that a relation can be represented by a table, ordered pair and graphs.
  • Recognize notation and determine the value of a function and its domain and range.
  • Identify types of functions (into, onto, one-to-one, injective, surjective and bijective) by using Venn diagrams.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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