Lesson Plan

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)

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.