Number Lines and Mixed Numbers
To form the beginning of a number line with fractions
Fraction Bars, Transparent bars, Transparent Number Line (Transparency Kit),
Master "Fraction Number Line", pencils, markers
TEACHER MODELING/STUDENT COMMUNICATION
|Activity 1 Forming a number line from 0 to 1
1. Each group will need a
deck of bars and each student will need a pencil and a Master
do you notice about your number line? (It has the numbers 0, 1, and
should we write below the line for this bar and where should it be
written? (2/12 should be placed beneath the mark at the end of the shaded part of
Write this fraction on your number line.
Select a different orange bar that is not a zero bar or a whole bar and place it on
your line between 0 and 1. Write the fraction on your line at the end of the
shaded part of your bar. Ask a volunteer to describe the bar they selected. Place
a transparent copy of their bar on the overhead and write its fraction on the line.
Ask students to write all the fractions for the remaining
marks between 0 and 1 on their
number line. Then place the transparent orange whole bar below the line and between 0
and 1 and ask:
Why is the number 1 written for the whole bar? (Because the fraction for a
whole bar equals one.) Leave this whole bar below the number line for the next
|Activity 2 Extending the line to the length of
two whole bars
Place the transparent orange 2/12 bar between 1 and 2 (see next page) and ask:
should be written below the 2/12 bar? ()
Write this number
on the transparent line and ask students to write it on their lines.
The "1" in this number is for the 1 whole bar and 2/12 is for the shaded
amount of the next bar. We call this number "1 and 2/12".
This type of number is a mixture of two types of numbers: the whole number
1 and the fraction 2/12. It is called a "mixed number." We can also write 1
and 2/12 as the sum 1 + 2/12.
Select a different orange bar that is not a zero bar or a whole bar, place it on
your line between 1 and 2 and write the mixed number for the bar. Ask a few
students to describe their bar and give its mixed number. As they do, point to
the marks on the transparent line.
To avoid crowding on your number line between 1 and 2, we will just write
the mixed numbers: 1 and 2/12; 1 and 4/12; 1 and 6/12; 1 and 8/12; and 1 and
10/12. Point to these marks on the transparent number line and write these
Why is the number 2 written on the number line? (It is at the end of the
second bar and represents a length of 2 whole bars.)
|Game: Number Lines Race
The Fraction Number Lines and markers will be needed to play a racing game.
Place one marker above the zero
point on your number line.
Discuss this game and any questions. Ask each
student to write their names on the
Option: Use the deck of Fraction Playing Cards for the Number Line Race.
INDEPENDENT PRACTICE and ASSESSMENT
Activity Sheet #14A Writing fractions and mixed numbers
for points on number lines
Activity Sheet #14B Writing fractions and mixed numbers for points on number lines
fractionbars.com Set 2 Fraction Darts (Using mixed numbers to aim darts at balloons)
Grade 4 Activity Sheet #14A Name:
|The first number line below is the number
line you formed in class using the twelfths
bars, but it has some missing numbers.
1. Write the missing fractions and mixed numbers on the
line in the markers.
2. This number line was made using the twelfths bars, but
it has the fractions for
halves and thirds that equal the fractions for twelfths. Write the missing numerators in
3. This number line was made using the twelfths bars, but
it has the fractions for
halves and fourths that equal the fractions for twelfths. Write the missing numerators
in the markers.
4. Here is part of the twelfths number line from 2 to 4.
Write the missing mixed numbers for
this line on the markers.
Grade 4 Activity Sheet #14B Name:
|For each line, write a fraction or mixed number
on the marker for the given point. Notice that the
first point beyond zero is numbered for each line.