Math in Our World: Card Collector
Trixtan has a lot of game cards, and he’s always asking for more. He keeps them in two old binders. Each one has 9 cards per page and a total of 48 pages. The binders are completely full, and they’re falling apart.
He wants some new binders, and he found two options:
- Binder A has 30 pages. Each page holds 12 cards.
- Binder B has 120 pages. Each page holds only 4 cards.
- Use pictures, models, or numbers to show what you know.
- What do you notice? What do you wonder?
- What math questions can you ask about this situation? Answer all the questions you can!
- You might sketch an array and use partial products to determine the total number of cards Trixtan has now.
- How many cards are in one of his old binders? Two of his old binders?
- Show your work to someone and explain your thinking. Did they understand?
- Ask whether they have any other questions you can answer!
What if he could buy pages for the binders 10 at a time? How many of each size page would he need to hold his current collection? How many extra pages would you buy for the cards he’ll get in the future?