# Representing Fractions with Cuisenaire Rods (2 of 2)

1. Discuss how the the longer rod can be seen as one whole unit.
2. Emphasize that the fraction depends on both rods and their relationship and stress that the same rod can be used to represent different fractions.
3. As an alternative, or an addition to this worksheet, use real Cuisenaire rods for hands-on practice. 1 2 3 4 5 6 7 8 9 10

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## What is the Fraction?

Simplify the fraction and express in lowest terms when required.

Name:______________________  The purple rod represents 46 or 23 of the dark-green rod.  The light-green rod represents 38 of the brown rod.  The purple rod represents 48 or 12 of the brown rod.  The red rod represents 26 or 13 of the dark-green rod.  The red rod represents 24 or 12 of the purple rod.  The yellow rod represents 58 of the brown rod.  The light-green rod represents 36 or 12 of the dark-green rod.  The dark-green rod represents 68 or 34 of the brown rod.

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For reference - print page 2 only if required 1 2 3 4 5 6 7 8 9 10

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### Related Resources

The various resources listed below are aligned to the same standard, (3NF03) taken from the CCSM (Common Core Standards For Mathematics) as the Fractions Worksheet shown above.

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

• Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
• Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
• Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
• Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

#### Worksheet

##### Worksheet Generator

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Develop understanding of fractions as numbers