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

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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.1

**4.NF.A.1**: Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

4.NF.A.1: Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

What you'll learn

Explain, using a visual model, why dividing each piece of a fraction into the same number of equal sub-pieces changes the number and size of the parts but not the amount represented
Demonstrate that multiplying the numerator and denominator of a fraction by the same nonzero whole number produces an equivalent fraction (e.g., 2/3 = (2 x 4)/(3 x 4) = 8/12)
Justify why multiplying by n/n is the same as multiplying by 1, and therefore does not change the value of the fraction
Use area models and number lines to verify that two fractions are equivalent by showing they represent the same amount or the same point
Generate equivalent fractions for a given fraction by choosing different values of n and applying the principle (n x a)/(n x b)

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Equivalent fractions

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Practice

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Exercise

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