The Triangle of Pascal.

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This is an assignment for the whole group.

Go and stand (or sit) in a triangular arrangement.It should look like this:

Now the teacher will give one coin to the person on top.1. How many coins are there in total in the top row?

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Now the teacher gives an extra coin to the top student.The assignment is as follows:give half of your coins to each of the two people in the next row.

2. How many coins do all people in the first row have?(the first row is the row just below the top row!)

3. How many coins are there in total in the first row?

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The total number of coins in a row is the same as the number of coinsthe teacher is giving the top student.

Now you are going to follow the next rule:when the time comes, give half of your coins to each of the two studentsin the next row.

4. How many coins do each of the students in the second row getif you follow this rule? Do they all get the same amount?

5. How many coins are there in total in the second row?

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Follow this pattern of handing down coins.

6. How many coins do each of the students in the third row getif you follow this rule?Do they all get the same amount?

7. How many coins are there in total in the third row?

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8. How many coins do each of the students in the fourth rowget if you follow this rule?Do they all get the same amount?

9. How many coins are there in total in the fourth row?

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10. Now write down all numbers in a triangular pattern as shown above.You have created the Triangle of Pascal.Can you see how you have to calculate numbers in a next row?

11. Write down the next four rows of the Triangle of Pascal.

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12. Now take a look at the totals of each row.Can you see a pattern?

13. Give the total of coins in the 10th row.

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