Cuisenaire Rods (C-Rods) are powerful mathematics manipulatives useful for teaching many concepts, including measurement (length), number lines, fractions, and proportional reasoning.
Each C-Rod set contains rods of 10 different lengths, with each length associated with a specific color. The smallest rod (white) is a 1 cm cube. The longest (orange) is 10 cm in length.
1 cm = white
2 cm = red
3 cm = light green
4 cm = purple (magenta)
5 cm = yellow
6 cm = dark green
7 cm = black
8 cm = brown
9 cm = blue
10 cm = orange
In the primary grades, C-Rods can be used for both informal and formal measurement as well as a linear representation of quantity and length.
Kindergarten students can start by describing and directly comparing the rods, making observations such as "A blue rod is longer than a red rod." (KY.K.MD.1 and KY.K.MD.2)
First grade students measure lengths with informal tools. For example, they may determine that a paper is 3 orange rods long or their desk is 10 orange rods wide. (KY.1.MD.2) They use tools to compare lengths indirectly. For example, if a pencil box is "5 light greens" long and a paper is "6 light green rods" long, they conclude the paper is longer than the box. (KY.1.MD.1)
Second grade students measure the same object twice using different length units, discovering that the same length will be more of the smaller units. For example, if a student knows that a desk is 10 dark green rods long, they know that the desk will be more than 10 yellow rods long (because yellow rods are shorter) and will be fewer than 10 blue rods long (because blue rods are longer). (KY.2.MD.2) Second grade students transition to thinking about the white rod as "1 cm" and the orange rod as "10 cm" and understand that something which is 4 orange rods long is 40 centimeters long. They see the connection between measuring a length in cm rods (e.g. something is 6 cm long because it is 6 white rods long) to a length measured with a centimeter ruler. (KY.2.MD.1) They also use their experience to estimate the length of an object before measuring. For practice estimating and helping students see the relationships between the C-Rods, use KNP activity F7703.0 - Estimating C-Rods lengths and relationships
Second grade students also develop a formal understanding of a number line. In particular, they understand a number is located its distance from 0. For example, a student might use a red rod to mark the distance from 0 to 1. They understand that 6 would then be located 6 red rod lengths from 0. (See figure 1 below). (KY.2.MD.6) Research has consistently shown that a deep understanding of number lines and linear models is linked to a greater understanding of number and number operations and connects to higher math achievement. Check out this video from Cathy Fosnot (3:35-6:00) https://www.pinterest.com/pin/9007268000110430/
Learning Mathematics through Representations (LMR) is a research-based curriculum unit for the teaching and learning of integers and fractions in the elementary grades, using the number line as the principal representational context. Several lessons support students in developing these important ideas about whole numbers, length, and number lines. See the Crosswalk HERE for standards connections. Access LMR resources here: https://www.kentuckymathematics.org/lmr.php
The IES Practice Guide Developing Effective Fractions Instructions for Kindergarten through 8th Grade recommends using "number lines as a central representational tool" when teaching fraction concepts (Recommendation 2). C-Rods support students in making sense of fractions as numbers on a number line.
IES recommendations Graphic Link
Below are a variety of resources for teaching fractions using Cuisenaire Rods.
KCM KNP Task Group F7703 (Understanding Fractions through linear models) - C-rod activities are in GREEN
7703.0 - How Many? - Link
7703.1 - Folding Strips! - Link
7703.2 - Is it Fair? Fraction sort - Link
7703.3 - Naming Fractional parts - Link
7703.4 - Build It - Link
7703.6 - How Long - Link
Virtual versions available LINK
Learning Mathematics through Representations (LINK: LMR) is a research-based curriculum unit for the teaching and learning of integers and fractions in the elementary grades, using the number line as the principal representational context. The Fraction Unit targets 3rd and 4th grade Fraction standards (KY.3.G.2, KY.3.NF.2, KY.3.NF.3, KY.4.NF.1, KY.4.NF.2, KY.4.NF.3) LMR/KAS crosswalk available HERE
Go the Distance - This folder contains a DRAFT of a KCM-developed 4th grade Fraction Unit that uses C-Rods and number lines as a central representational tool to teach fraction concepts, including comparing fractions, equivalence, addition, and subtraction. Student materials are generally complete. Teacher materials are available for some lessons. This addresses multiple 4th grade standards including KY.4.NF.1, KY.4.NF.2, KY.4.NF.3, KY.4.NF.4.
Additional Resources
Number Line Activity "How far did she go?" Number Line Activity
Addition & Subtraction Exploration: Link (KY.4.NF.3, KY.5.NF.1)
Mindset Mathematics Grade 5 Lesson: Unit fraction divided by a whole number C-Rod exploration. (KY.5.NF.7a) Students select a C-Rod and assign it a length (choosing from a list of unit fractions). Students then determine the length of smaller rods, which can be connected to dividing by a whole number. For example, a student might choose the blue rod and assign it the length 1/2. They determine that 3 light green rods equal the length of the blue rod, and then determine that the light green rod has the length 1/6. Through discussion, students connect this to 1/2 ÷ 3 = 1/6. Modified Recording sheet Link
Learning Mathematics through Representations (LINK: LMR) is a research-based curriculum unit for the teaching and learning of integers and fractions in the elementary grades, using the number line as the principal representational context. The Integer Unit targets 6th standards (KY.6.NS.6, KY.6.NS.7) by developing an understanding of negative numbers as the opposite of their positive counterpart on a number line. LMR/KAS crosswalk available HERE
Teaching Fractions and Ratios for Understanding by Susan Lamon