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Dividing fractions using models makes this tricky topic easier to visualize. In this post are 3 dividing fractions by fractions using models examples, the connection to the keep, change, flip standard algorithm and videos explaining the examples.
Prealgebra. Module 4: Fractions. Using Models to Represent Fractions and Mixed Numbers. Learning Outcomes. Write fractions that represent portions of objects. Use fraction circles to make wholes given. Use models to visualize improper fractions and mixed numbers. Representing Parts of a Whole as Fractions. Andy and Bobby love pizza.
Represent parts of a whole as a fraction with models, numbers, and words. Identify the numerator and the denominator of a fraction. Model improper fractions and mixed numbers. Convert between improper fractions and mixed numbers.
Let’s try a visual version of the problem we did before: 1/4 2/3. First, find a common denominator: 1/4 2/3 = 3/12 8/12. Next, divide the numerators: 3 8 = 3/8. Here is the model for this problem, called the common denominator model:
I began with, “What is ½ plus ½?” Most of the students got this one right. Next, I asked them to draw a visual model of ⅗. They looked at each other, confused. Only about half of them drew anything. And only around 10% actually drew a model of ⅗.
“This time, divide 3/4 by 1/8. Let’s place as many 1/8 strips as we can to match the 3/4 strip.” Model it and then walk around to help students who may need support.
Fraction Models. Grade: 3rd to 5th, 6th to 8th. Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area, region, and set models. Adjust numerators and denominators to see how they alter the representations and models.
