Long Division, Jigsaw Patterns

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Playing Long Division is a Great Way to Have Fun and Learn Patterns With understanding, you can easily use a calculator to get the job done quickly. However, long division can be taught as a fun number game in small groups! It's enjoyable and full of patterns that also help review addition, subtraction, and multiplication. By using this design and having enough number pieces, you can play the game on a table or even on a wall (using the model with nail holes). 1. Long division requires users to line up their numbers correctly (place values). 2. The jigsaw design lets it extend beyond the length of the initial board. You'll need a lot of numbers and some decimal points, depending on the specific problem. You may also need extra zeros and decimal points. There are other ways to organize long division. The Long Division Algorithm is Actually Really Beautiful Presented in a meaningful way, long division can be a beautiful and illuminating experience for students. The big ideas behind the Division Algorithm/Theorem are: we take as many multiples of the divisor as possible, and when dividing any integer by another nonzero integer N, there are at most {0, 1, ..., N - 1} intermediate remainders. Eventually, the remainder will come back! Let's use an example to explain it better. Suppose you have $9418 and want to give it away evenly to 35 people as much as possible. You can keep the leftover or further break it down. 1. Everyone gets as much as possible in thousands (0 in this case). 2. Find the leftover if necessary and move on to hundreds, which is 200 in this round. 3. Find the leftover and move on to tens, where everyone gets 60. 4. Find the leftover and move on to ones, where everyone gets 9. 5. You can keep the $3 left over or move on to dimes or cents, etc. Take a look at the intermediate remainders {24, 31, 3, ...}, which will repeat if the process continues. Note that the meaning of the remainder changes as the process unfolds: hundred, ten, one, tenth, hundredth, thousandth, etc. You can learn more about long division on Wikipedia.