1. Mathematics 8 Support Fraction Meanings

2. Meanings of Fractions MeaningExample Record the meaning here Draw an example here Record special notes about the meaning here

3. Part of a Whole the result when the whole or unit is partitioned into equal-sized parts

4. Part of a Whole Sharing tasks promote developmental understanding for part of a whole. The parts into which the whole is divided are equal but do not need to be identical. Fraction parts do not have to be adjacent.

5. Meanings of Fractions Part of a WholeExample the result when the whole or unit is partitioned into equal- sized parts Sharing tasks promote developmental understanding for part of a whole. The parts into which the whole is divided are equal but do not need to be identical. Fraction parts do not have to be adjacent.

6. Parts of a Set the result when a group or a collection of things is partitioned

7. Parts of a Set The members of the set do not have to be identical. Containing or enclosing the set helps students see the set as one unit.

8. Part of a Measure involves associating marks on measuring devices, such as rulers, with fraction names

9. Part of a Measure This is the most abstract of the first three meanings but the most useful for the teaching of computational skills.

10. Can be Used to Name a Ratio a comparison between two quantities that may or may not involve different units

11. Can be Used to Name a Ratio A ratio is a numerical relationship A fraction used to name a ratio may or may not involve wholes, groups or the name for a point (measure). It involves making a comparison.

12. An Indicated Division the symbolic form of a fraction is seen as the quotient of 2 integers with the fraction bar as a signal to divide

13. Can be Used as an Operator to operate on a unit (e.g. of 12)

14. Can be Used as an Operator A misconception that often occurs is that students think that multiplication “always makes bigger” and division “always makes smaller”.

15. Write about or draw to illustrate each of the meanings.