Lesson 1: Introduction to Sets and Notation
Section | Details |
---|---|
Objective | Understand 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}. |
Resources | Whiteboard, flashcards, number cards, slides with set notation. |
Time | 40 minutes total: 5 (Starter) + 25 (Main) + 10 (Plenary). |
Homework | Write 5 examples each of elements belonging and not belonging to set A = {x: x is an odd number < 20}. |
Assessment | Worksheet: Fill-in-the-blank exercises using set symbols. |
Past Paper Practice | Identify elements in given sets using ∈ and ∉. |
Lesson 2: Venn Diagrams with Two Sets
Section | Details |
---|---|
Objective | Represent 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. |
Resources | Worksheets with Venn diagrams, projector/PowerPoint, number lists. |
Time | 40 minutes total: 5 (Starter) + 30 (Main) + 5 (Plenary). |
Homework | Draw Venn diagrams for sets: A = {multiples of 2 ≤ 20}, B = {multiples of 3 ≤ 20}. |
Assessment | Worksheet problems on A ∪ B and A ∩ B. |
Past Paper Practice | Shade and label regions on a two-set Venn diagram. |
Lesson 3: Venn Diagrams with Three Sets
Section | Details |
---|---|
Objective | Represent 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. |
Resources | Printed three-set Venn diagram worksheets, slides, coloured pens. |
Time | 40 minutes total: 5 (Starter) + 30 (Main) + 5 (Plenary). |
Homework | Create your own example with 3 overlapping sets and label the regions. |
Assessment | Students complete problems involving shaded regions in three-set Venn diagrams. |
Past Paper Practice | “Shade the region representing A ∩ (B ∪ C).” |
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