Grade 4 Lesson 14: Number Lines and Mixed Numbers
To form the beginning of a number line with fractions
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 with fractions
1. Each group will need a deck of bars and each student will need a pencil and a Master
"Fraction Number Line".
What do you notice about your number line?
(It has the numbers 0, 1, and 2. It
has 12 spaces between 0 and 1 and 12 spaces between 1 and 2.)
Which color of your bars is divided into 12 equal parts?
You can think of this line between 0 and 1 as a very skinny bar with 12 equal
parts. Instead of shading the parts, we will write fractions beneath the marks on
To illustrate this, place your transparent Fraction Number Line on the overhead and,
above this, place a transparent orange bar with 2 shaded parts.
What fraction should we write below the line for this bar and where should it be
(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: