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Equations Game
Materials: Deck of Fraction Bars and 4 sheets of paper per group plus pencils
Ask each group to select 10 random bars, two of each color, and try to form four equations: one for addition, one for subtraction, one for multiplication, and one for division. For the multiplication and division equations they can use any whole numbers except zero. For example, the numbers 3 and 4 were used in forming the equations below. If the bars are placed on sheets of paper, the operation signs, equality signs, and whole numbers for the products and quotients can be written on the sheets. The following example shows that all four equations were formed by using the 10 bars selected, but this is not always possible.
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Each bar that is used in an equation (i.e. a true statement) counts as one point. Ask if any groups were able to form four equations, that is, to score 10 points. Sometimes people like to select an additional bar or two to see if they can form more equations.
Example of Student Writing Projects
You may wish to show the following transparency of a fifth grade student’s writing. This student had learning disabilities but understood the use of the bars in forming addition and subtraction equations.
This student has formed an addition equation with the bars for 1/12, 11/12, and 4/4. He may be trying to find two more bars to form a subtraction equation that will include a whole bar.
Photo courtesy of Herb Moyer