Unit 13 Section 4 : Twodimensional Number Patterns
This section looks at 2dimensional number patterns. One of the most famous of these is Pascal's triangle.
Pascal's Triangle
These are the first 4 rows of Pascal's triangle.
You can see that the first and last numbers in each row are always 1.
The other numbers are found by adding together the two numbers that are diagonally above them in the previous row.
For example, the lefthand "3" in the diagram above is found by adding together the 1 and the 2 in the row above.
Question:
Work out the numbers which go in the next two rows , then click
to see whether you are correct.
Other Triangular Patterns
Look at the three triangles below:
You can see that every number in the first row of each diagram is a 1.
All the other numbers in the diagrams are found by adding the two numbers in the row above.
Question: Work out what the next two triangles will be, then use the
buttons
to see whether you are correct.
Exercises
Work out the answers to the questions below and fill in the boxes. Click on the
button to find out whether you have answered correctly. If you are right
then will appear and you should move on to the next
question. If appears then your answer is wrong. Click
on to have another go.
If you can't work out the right answer then click on
to see
the answer.
You have now completed Unit 13 Section 4
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Produced by A.J. Reynolds January 2001