Activity Description Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Traingle is one of the Interactivate assessment explorers.

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Coloring Remainders in Pascal's Triangle

Place in mathematics curriculum:

This activity can be used to:

• practice students' long division skills
• practice students' pattern recognition skills
• introduce Pascal's triangle
• motivate the ideas of fractals

This activity allows the user to identify number patterns formed in Pascal's triangle when coloring remainders. This activity would work well in groups of two or three for about forty-five minutes if you use the exploration questions and twenty to twenty-five minutes otherwise.

Preparations for this activity:

• explain that they have to color all the numbers with one remainder before they color the numbers with a different remainder.
• explain how coloring remainders produces patterns similar to the ones noticed when coloring multiples in Pascal's triangle.