More complex mathematical concepts, such as multiplication, were introduced with the Arabic numeral in the 13th century.

Lattice multiplication was the first of its kind to use Arabic numerals for factoring.

This multiplication style takes its name from the resemblance of how the multiplication chart looks like a lattice used for growing ivy.

The lattice style chart (or grid) is set up according to how many numbers are in the multiplication equation; one must first determine how many boxes to create through a quick count of all the numbers in the problem.

Draw a sequence of boxes in a row for each number to the left or on the top of the multiplication equation.

The numbers to the right or on the bottom of the multiplication problem determine how many boxes are in a column.

Next draw a line diagonally from right to left through each individual box.
Once the boxes are drawn, the multiplication chart is created, for example; in the problem 123×45 a chart of three boxes across and two boxes down would be drawn, with each box containing a diagonal line crossing from right to left, creating two triangles within the box.

Now the multiplication fun begins as each number is multiplied; starting with the top two on the right and working individually down the row and column.

Each multiplication answer is then entered in to the corresponding box with the diagonal line; two triangles are created by the line that will split the box into a tens and ones place.

If the answer was the number 24, the 2 would be written in the tens place and the 4 would be written in the ones place.

When the multiplication is complete, simply sum up the totals of the numbers in the diagonal boxes and write the answers at the bottom of the chart, just outside the grid.

Large multiplication equations are made into smaller and simpler problems through charting out each number on a lattice multiplication table.

This style of compartmentalizing is not only more manageable, but can also make multiplication fun for young students to learn.

A window pane or a hockey goal can be made into grid worksheets, ask the students can help create them.

Wrong answers can be avoided easier when order and tidiness are emphasized when using lattice multiplication grids.

Students will learn a strong discipline of order when factoring multiplication problems from this insistence.

Lattice multiplication was a major advancement for quantifying numbers in the Middle Ages, and still has use in learning multiplication facts today.

For more information on multiplication, goto www.TimesTablesMaths.com

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