Compare two fractions with different numerators and different denominators

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
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Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

4.NF.A.2

**4.NF.A.2**: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

4.NF.A.2: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

What you'll learn

Compare two fractions with different numerators and different denominators by creating common denominators, then comparing the numerators
Compare two fractions by creating common numerators, recognizing that when numerators are equal, the fraction with the smaller denominator is larger (because the pieces are bigger)
Compare two fractions by reasoning about benchmark fractions -- especially 1/2, but also 0 and 1 -- to determine which fraction is greater without finding a common denominator
Explain why fraction comparisons are valid only when both fractions refer to the same whole, and identify situations where different-sized wholes make a comparison invalid
Record the result of a fraction comparison using the symbols >, =, or <, and justify the conclusion using a visual fraction model (area model or number line)

Review first:

Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b)

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Comparing fractions unlike denominators

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