Name __________________

Put Patterns To Work For You!

Complete these multiplication squares. As you work, see if you can spot the patterns.

I observed that the product of two even numbers is _______________.

I noticed that the product of two odd numbers is _______________.

I observed that the product of an odd and even number is _______________.

How could you use this knowledge when doing problems like this:

Can you see a pattern with odd and even numbers when doing division? Lets find out.

1. Write down 5 division problems. Make sure the divisors and dividends are both odd numbers. The first one is done for you.
   
   1. 35 ÷ 7 = 5
   2.
   3.
   4.
   5.
   
   What pattern do you notice?
   

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2. Write 5 division problems again. This time the divisor should be odd and the dividend should be even.
   
   1.
   2.
   3.
   4.
   5.
   
   What pattern do you notice?
   

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3. Finally write 5 more division problems. Both the divisors and dividends should be even numbers.
   
   1.
   2.
   3.
   4.
   5.
   
   What pattern do you notice?
   

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How could you use this knowledge about division patterns when doing problems such as:

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Lets look at more multiplication patterns...

See if YOU can figure out the pattern. Some of the problems are already done for you.

I spot this pattern in the 3s times table:

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Complete this pattern table:

I spot this pattern in the 6s times table:

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Finally complete this pattern table for the 8 facts. You need to keep adding the digits until you get a single digit.

I spot this pattern in the 8s times table:

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