Exponents

General Classroom Interaction

  • Greeting and Attendance
      - Teacher greets the students warmly.
      - Casual conversation about the holiday break.
      - Inquiry about students’ Easter celebrations.

Introduction to Lesson

  • Teacher conducts a brief check-in with students.

  • Reminder for students to check their assignment and exam paper marks.

Topic Overview

  • Subject Focus: Exponents and their definitions.
      - Definition: An exponent shows repeated multiplication of a base number.

Exponents Explained

  • Use of exponents to express multiplication:
      - Example for base 2:
        - 2imes2=222 imes 2 = 2^2
        - 2imes2imes2imes2=242 imes 2 imes 2 imes 2 = 2^4
      - The exponent indicates how many times the base is multiplied by itself.

1⃣ Square & Cube (you are DOING it)

  • Square (²) → number × itself
    Example:
    5² = 5 × 5 = 25

  • Cube (³) → number × itself × itself
    Example:
    3³ = 3 × 3 × 3 = 27

Square root & Cube root (you are UNDOING it)

  • Square root (√) → “what number times itself gives this?”
    Example:
    √25 = ? → what × what = 25 → 5

  • Cube root (∛) → “what number times itself 3 times gives this?”
    Example:
    ∛27 = ? → what × what × what = 27 → 3