**Learn Fractions with
Cuisenaire Rods**

**The standard method of showing fractions with
the Cuisenaire Rods is to place one rod over the other to compare their
size. The rods can be shown vertically or horizontally (as shown below).
**

**For Example:**

Arrange your rods to represent 1/2 and 3/4 using the purple rod as the denominator. In order to represent 1/2 using the purple rod as the denominator we must first express the fraction in equivalent terms. Since 2 red rods in a train equals 4 cm. we must multiply the numerator and denominator by 2 red rods.

Take the numerator 1 * 2 red rods = 2

Take the denominator 2 * 2 red rods = 4

So representing 1/2 using
the purple rod as the denominator equals 2/4_{ }as
shown below.

**2/4 _{ }= **

Now, in order to represent 3/4_{
}using the purple rod as the denominator. Since 1 purple rod
equals 4 cm. we must multiply the numerator and denominator times 1 purple
rod.

Take the numerator 3 * 1 purple rod = 3

Take the denominator 4 * 1 purple rod = 4

So representing 3/4_{ }using
the purple rod as the denominator equals **3/4**_{
}as shown below.

3/4 =

Now it's your turn:

**A.** Arrange your rods to represent
each of the following fractions using the dark green rod as the denominator.

For Example: 1/6** _{ }**=

1. 1/2_{ }= 2. 2/3_{ }=

3. 5/6 = 4. 2/6 =

**B. **Arrange your rods to **r**epresent
each of the following fractions using the brown rod as the denominator.

For Example:** 4/8 **=

5. 3/4 = 6. 3/8 =

7. 2/8 = 8. 5/8_{ }=

**C. **Now for a real challenge!
Let's say the orange and red rod are taped together as the unit. We'll
call this color **rorange. Represent each of the following fractions using
the rorange rod as the denominator.**

For Example: **7/12 **=

9. 1/2_{ }= 10. 1/3 =

11. 1/4 = 12. 5/6_{ }=

**Check your Answers.**

Send comments to: silha@girltech.cs.rice.edu

**This page was developed through
GirlTECH '97,
a teacher training and student technology council program sponsored by
the Center for Research on Parallel
Computation (CRPC), a National Science
Foundation-funded Science
and Technology Center. **

**© June 1997 Molly Silha **