This video from Cyberchase features Bianca working on her aunt and uncle’s farm. Bianca is excited because she’s getting a new pet. She uses equivalent fractions to combine different lengths of wood to build a roof on a house for the new pet. In the accompanying classroom activity, students use equivalent fractions to solve a problem and create word problems of their own.

Content Standard(s):

Mathematics MA2015 (2016) Grade: 4

12 ) Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} 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-NF1]

NAEP Framework

NAEP Statement:: 4NPO6a: Explain or justify a mathematical concept or relationship (e.g., explain why 15 is an odd number or why 7-3 is not the same as 3-7).

NAEP Statement:: 8NPO1d: Write or rename rational numbers.

NAEP Statement:: 8NPO1h: Order or compare rational numbers (fractions, decimals, percents, or integers) using various models and representations (e.g., number line).

NAEP Statement:: 8NPO3a: Perform computations with rational numbers.

NAEP Statement:: 8NPO3d: Describe the effect of multiplying and dividing by numbers including the effect of multiplying or dividing a rational number by:

Video resources: includes closed captioning or subtitles

Comments

This resource is accompanied by teaching tips, discussion questions, and an activity.

2019 ALCOS

13. Using area and length fraction models, explain why one fraction is equivalent to another, taking into account that the number and size of the parts differ even though the two fractions themselves are the same size. Apply principles of fraction equivalence to recognize and generate equivalent fractions. Example: a/b is equivalent to (n × a)/(n × b).