**The Generation Of Fractions**

June Muhammad Park Manor School

7037 S. Rhodes

Chicago IL 60637

312-535-3070

**Objectives**:

To use a unique multiplication grid to help students realize that simple

fractions (reduced fractions) may have many appearances, but have the same

value.

To help students learn how to factor each denominator completely.

**Materials needed**:

Group of four students Four 5 x 8 1/2 white tag boards

Ruler Red construction paper for apples

Glue Green construction paper for trees

Masking tape Brown construction paper for tree trunks

Black marker Make grids for multiplication tables

**Strategy**:

Students will select fractions written on cut out apples from a bag.

To begin use only even number fractions.

Example: The fraction 12/24 is selected by the students. Students look

at the multiples of two column, and then count down to 12 grids in the

multiples of two. The students stop on the sixth grid. Ask students to

record where have counted. The students' final fraction should be 1/2.

Remind the students that they must change multiples when the selected

fractions can be further reduced.

The fraction 3/6 requires that they leave the multiples of two.

Students can visualize reduced terms and the final simple term. When odd

fractions are selected students can compare how each fraction is divided by

one and itself.

**Performance Assessment**:

Students write five higher term fractions for one simplified fraction.

Teacher observes and records results.

All higher terms and reduced fractions are hung on the tree.

Odd fractions are hung on a crab apple tree.

**Multicultural Aspect**:

Fractions were invented by the Ancient Egyptians.

**Conclusions**:

This activity may be used for small or large groups of students.

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