Here’s a concept for a narrative math lesson that blends Facebook’s earnings and audience engagement metrics into a captivating story:
Meet Amani, a budding entrepreneur from Mwanakalenge who dreams of starting his own social media consulting business. He is inspired by how Facebook strategically maximizes its earnings by aligning ad reach with user engagement. Amani sets out to decode Facebook’s numbers to learn how timing and audience behavior impact revenue.
The Challenge
Amani needs to create a post schedule for her client, a local artisan selling handmade jewelry. She wants to ensure the posts reach the right audience while calculating potential earnings from ads and engagement. Can you help Amani optimize her strategy?
Math in Action
1. Daily Active Users
– Facebook’s family of apps had 3.35 billion daily active users in December 2024, increasing by 5% from the previous year.
– *Activity*: Calculate the number of daily active users for December 2023.
Formula: $$\text{Users in 2023} = \frac{\text{2024 Users}}{(1 + \text{Rate of Increase})}$$
2. Ad Reach
– Facebook ads reached 2.28 billion users in January 2025, representing 27.9% of the global population.
– *Activity*: If the global population is estimated at 8.17 billion, calculate the percentage of users Facebook ads didn’t reach.
Formula: $$\text{Unreached Percentage} = 100\% – \frac{\text{Users Reached}}{\text{Global Population}} \times 100\%$$
3. Optimal Posting Times
– Studies show early mornings (4 AM–6 AM) on Saturdays yield maximum engagement.
– Activity: Amani plans three posts at 5 AM, 6 AM, and 10 AM. If the engagement probability is 75%, 65%, and 40% respectively, calculate the expected engagement for each post.
Formula: $$\text{Expected Engagement} = \text{Probability} \times \text{Audience Size}$$
4. Ad Earnings
– The average ad price increased by 14% in Q4 2024. If the price was $0.10 per ad in Q4 2023:
– Calculate the new price.
Formula: New Price} = t{Old Price} times (1 + {Rate of Increase})
– Predict the earnings for 1 million impressions with the new price.
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Conclusion:
Amani applies her findings to craft a winning strategy for her client. With engaging posts at optimal times, clear audience insights, and creative storytelling, she helps the local artisan grow their online presence while understanding the math behind the magic.
