Lesson Plan: Sets

Lesson 1: Introduction to Sets and Notation

SectionDetails
ObjectiveUnderstand and use set language, notation, and represent sets.
Activities– Starter (5 mins): Quick brainstorm – “What groups can we form from our class? (e.g., boys/girls, sports, glasses/no glasses).” – Main (25 mins): Introduce set notation (∈, ∉, ∅, A′, A ⊆ B, A ∪ B, A ∩ B). Show examples with everyday objects. – Plenary (10 mins): Students classify numbers into sets: A = {x: x is a natural number}, B = {x: x is even}.
ResourcesWhiteboard, flashcards, number cards, slides with set notation.
Time40 minutes total: 5 (Starter) + 25 (Main) + 10 (Plenary).
HomeworkWrite 5 examples each of elements belonging and not belonging to set A = {x: x is an odd number < 20}.
AssessmentWorksheet: Fill-in-the-blank exercises using set symbols.
Past Paper PracticeIdentify elements in given sets using ∈ and ∉.

Lesson 2: Venn Diagrams with Two Sets

SectionDetails
ObjectiveRepresent relationships between sets using Venn diagrams (two sets).
Activities– Starter (5 mins): Show a Venn diagram with “students who like cricket” and “students who like football.” Students place names. – Main (30 mins): Teach union (A ∪ B) and intersection (A ∩ B) using number sets (e.g., multiples of 2 and 3). Work through shaded region examples. – Plenary (5 mins): Class Q&A – identify regions in a Venn diagram.
ResourcesWorksheets with Venn diagrams, projector/PowerPoint, number lists.
Time40 minutes total: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkDraw Venn diagrams for sets: A = {multiples of 2 ≤ 20}, B = {multiples of 3 ≤ 20}.
AssessmentWorksheet problems on A ∪ B and A ∩ B.
Past Paper PracticeShade and label regions on a two-set Venn diagram.

Lesson 3: Venn Diagrams with Three Sets

SectionDetails
ObjectiveRepresent and interpret Venn diagrams with up to three sets.
Activities– Starter (5 mins): Review of union & intersection with two sets. – Main (30 mins): Introduce three-set Venn diagram (A, B, C). Use real-life example (students who play cricket, football, hockey). Solve step-by-step examples with numbers. – Plenary (5 mins): Quick-fire practice: teacher asks students to identify A ∩ B ∩ C, A ∪ B ∪ C, etc.
ResourcesPrinted three-set Venn diagram worksheets, slides, coloured pens.
Time40 minutes total: 5 (Starter) + 30 (Main) + 5 (Plenary).
HomeworkCreate your own example with 3 overlapping sets and label the regions.
AssessmentStudents complete problems involving shaded regions in three-set Venn diagrams.
Past Paper Practice“Shade the region representing A ∩ (B ∪ C).”

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