Different Shares, One Whole

reate the complete story-led core lesson for Section 7.9-A. Use Sana only. Keep the historical context brief and within the source's broad framing; do not add unsupported dates or detailed historical claims. 1. STORY OPENING: explain that fractions are a mathematical idea used to describe parts of a whole in sharing and measuring. 2. SHORT VISUAL TIMELINE: ancient mathematical ideas → fractions → different representations → ideas shared across cultures. Keep it concise, without unsupported specific dates. 3. DEFINE UNIT FRACTIONS: a unit fraction has numerator 1. Show 1/2, 1/3, 1/4, 1/5 and 1/6 using clearly equal partitions. 4. INVESTIGATION: ask whether two different unit fractions can sum to exactly 1. Show visually that 1/2 is the largest unit fraction and any different unit fraction is smaller than 1/2. Therefore, two different unit fractions cannot make exactly 1. 5. CORE DISCOVERY: show 1/2 + 1/3 + 1/6 = ?. Convert to sixths: 1/2 = 3/6; 1/3 = 2/6; 1/6 = 1/6. Then 3/6 + 2/6 + 1/6 = 6/6 = 1. 6. Animate three different-sized pieces fitting together to make one complete whole. 7. MEMORY CARD: choose → find a common unit → combine → check. 8. LEARNER CHALLENGE: ask learners to build one whole using three different unit fractions. Reveal the worked example 1/2 + 1/3 + 1/6 = 1, then tease the next lesson's puzzle with four different unit fractions. Use a curious, story-led tone rather than a calculation-heavy lecture. Make all fraction partitions equal and verify every equation. Avoid unsupported historical detail.