**2.2 Equivalent Fractions**

3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

b. 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.

d. 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.

• What is a fraction? • How do you know two fractions are equivalent?

• How can you use visual models to show equivalent fractions?

• How can you express a whole number as a fraction?

• How can fractions with the same numerator or the same denominator compare in size?

• How can you demonstrate the value of fractions using <, >, or =?

• How do you know when a fraction is equivalent to a whole number?

• What do you need to know when comparing two fractions with the same numerator/ denominator?

a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

__-__**fraction games****click here****math games****-click here**b. 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.

__math playground fraction bars__-click here**c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.**

__fraction dolphins__-click here*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.*__math fractions__-click hered. 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.

**Essential questions**• What is a fraction? • How do you know two fractions are equivalent?

• How can you use visual models to show equivalent fractions?

• How can you express a whole number as a fraction?

• How can fractions with the same numerator or the same denominator compare in size?

• How can you demonstrate the value of fractions using <, >, or =?

• How do you know when a fraction is equivalent to a whole number?

• What do you need to know when comparing two fractions with the same numerator/ denominator?