**Session Author: **James Tanton

What is four times three? 12 you might say, but no longer! In a new type of math — intersection math— we will see that four times three is 18, two times two is 1, and that two times five is 10 (Hang on! That’s not new!) Let’s spend some fun time together remembering what it is like to figure things out for the first time, rekindle that joyous creative mathematical spark in each of us, and realise that we are each capable of ingenious and clever thinking. Let’s work out 1001 x 492 in intersection math together!

The key to unlocking this exploration is to organise data in a table and observe some remarkable structure. Next, to use the patterns observed to guide logical reasoning for them.

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**Strategies:**

Try a smaller problem**Topics:**

Combinatorics**Styles:**

One rich problem**Mathematical Practices:**

MP1, MP3, MP7