```Introduction to Fractions on the Numberline Jones, Claudia R.             Crane High School                              997-3750                           Objectives

Students often have trouble (for any number of reasons) reading
fractional parts of an inch on a ruler.  They also have difficulty
dealing meaningfully with the typical numberline because it does not
readily lend itself to the students being able to recognize fractional
parts or mixed numbers in correct ordering or sequencing.  Using color-
cued fraction strips in conjunction with color-cued numberlines and
color-cued denominators, along with other manipulatives, the students
will be able to use the numberline to:
1. Correctly order and sequence fractions;
2. Compare, add, and subtract fractions;
3. Change mixed numbers to improper fractions;
4. Change improper fractions to mixed numbers;
5. Find a fractional number between any two fractional numbers.

Apparatus Needed

Color-cued fraction strips (whole, halves, fourths).  Numberlines,
color-cued (four different sizes), with color-cued denominators. Above
items drawn on white posterboard and laminated.  Magnetic tape,
transparency sheets(4), rulers, overhead projector, projector pens,
markers and worksheets.

Recommended Strategy

The teacher will discuss some of the difficulties students are having
when working with fractions, such as:  their inability to write or name
the points correctly on a typical numberline (here teacher shows the
drawing of a typical numberline). The teacher will also display an example
of positive and negative rational numbers being used on the numberline,
using the overhead projector.  Students will be given color-cued
fraction strips to develop basic fraction concepts and correct
sequencing. Once they are familiar with the use of the fraction strips,
they will work with those fraction strips on the numberline, which will
also be color-cued for an easier transition. For this lesson we will
use only four segments of fraction strips on the numberline (wholes,
halves, and fourths).  Students will review the following terms:
fraction, improper fractions, equivalent fractions, and mixed numbers.
A worksheet will be given on the use of equivalent fractions to
reinforce learning.
The students will practice again with the color-cued fraction
strips to further develop basic fraction concepts and correct
sequencing.  Also, they will use the color-cued fraction strips above
the numberline which will provide immediate reference to the concrete
and because of the visual cueing, they will be able to proceed
comfortably with other work on the numberline.
With concrete examples and demonstrations by the teacher of how
the numberline can be used to find an infinite number of fractional
numbers, shown on the overhead projector, the students will be able to:
1.  Write a coordinate for each dot on a given numberline;
2   Correctly order and sequence fractions on the numberline;
3.  Express improper fractions as mixed numbers;
4.  Change a mixed number to an improper fraction;
5.  Find fractional numbers between any two fractional numbers
where
a + b
2
Students will be given worksheets that parallel, step-by-step,
what is being demonstrated by the teacher on the overhead projector and
the blackboard.
Use of the color-cued fraction strips and color-cued numberline
will help those students who are having problems find answers to some
of their more difficult problems when using fractions on the number
line.
```