At an after-school center, students play a strategy game that also provides practice with two-digit multiplication. Try the game yourself and consider our questions, noticing the connections between any ideas that come to your mind.
Take four number cards from a deck of zero to nine cards. Make up a two-digit multiplication problem as shown on the game board below. Your goal is to find the highest possible product.
Variation 1: Play for the lowest possible product.
Variation 2: Allow the use of a one-digit number and a three-digit number.
Here's a possible turn:
Using those cards, answer the following questions:
- What problem do you want to make?
- What is your product?
- Why do you think your product is the largest possible product?
- Compare your problem to our examples. Which one of our problems do you think will have a higher product? Look for clues as to what helps a product be very high.
Questions to Consider:
- Was your product higher or lower than our examples?
- Were you surprised by the results?
- Why isn't the product of 97 and 86 the largest product?
In your mind, make up two word problems that go with your two-digit numbers. Have one involve area and the other involve something else.
Reflect on The Products Game