Lesson Plan

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Lesson Plan
Grade: Date: 17/01/2026
Subject: Computer Science
Lesson Topic: Describe the format of binary floating-point real numbers
Learning Objective/s:
  • Describe the three fields (sign, exponent, fraction) of IEEE 754 single‑ and double‑precision formats.
  • Explain how bias is used to represent positive and negative exponents.
  • Convert a decimal number to its 32‑bit IEEE 754 single‑precision representation.
  • Identify special values (∞, NaN, signed zero) and the role of denormalised numbers.
  • Analyse the impact of rounding and overflow/underflow on numerical results.
Materials Needed:
  • Projector or interactive whiteboard
  • PowerPoint/Google Slides with diagram of the 32‑bit word
  • Printed worksheet containing conversion exercises
  • Scientific calculators (binary mode) or online converter
  • Sticky notes for exit tickets
 Introduction:
Begin with a quick poll: “How many numbers can we store with 8 bits?” Link this to the need for a wider range, then remind students of binary representation basics. State that by the end of the lesson they will be able to decode and construct IEEE 754 floating‑point numbers and explain why special patterns exist.
Lesson Structure:
  1. Do‑now (5'): short quiz on binary fractions and scientific notation.
  2. Mini‑lecture (10'): introduce IEEE 754 format, bias, and the three fields using the slide diagram.
  3. Guided example (15'): walk through converting –13.625 to single precision step‑by‑step.
  4. Pair activity (10'): students convert two teacher‑chosen decimal numbers (one normalised, one denormalised) and record the bit pattern.
  5. Check for understanding (5'): quick concept questions (e.g., “What exponent value represents ∞?”).
  6. Summary & reflection (5'): recap key ideas and students write one takeaway on a sticky note (exit ticket).
Conclusion:
Re‑emphasise how the sign, biased exponent, and fraction work together to represent a huge range of real numbers. Collect exit tickets to gauge understanding and assign homework: convert three additional decimal numbers (including a special case) to IEEE 754 single precision and explain any rounding decisions.