To determine the fraction of a given area model, multiply the number of equal parts in the shape by the area model’s radius. Using a fraction area model, a whole shape is divided into equal parts. Why Do We Flip The Fraction When Dividing? Students can visualize math equations using area models. Furthermore, when two area models are combined, the relationship between fractions and decimals is illustrated. Students can use area models to represent fractions in a variety of ways when learning fraction. This important concept can be taught to students through visual models such as the one seen in this lesson. A key step in learning fractions is the division of a whole into equal parts, which allows students to understand how fractions can be used to represent larger numbers. Students can begin to understand dividing a whole into equal parts as soon as they learn to divide fractions and how to divide objects into equal groups. Students can benefit from using this visual model to connect fractions to what they already know when learning fractions. If you wanted to represent half, for example, you could divide the square into four rectangles, each of which represented half. When a square is divided into equal rectangles, it can be converted to a fraction. Students can benefit greatly from the application of visual models to the study of fractions and fraction operations. The following math concepts can be modeled with fraction sticks and area models. A fraction can be represented as an area model by dividing a square into equal-sized rectangles. ![]() This can be helpful when adding or subtracting fractions, as well as when multiplying fractions.Īccording to the Common Core Standards, students must know how to understand equivalent fractions or the concept that a fraction remains constant when multiplied by a non-zero whole number with the numerator and denominator. When a fraction is represented as an area, it is easier to see how much of the whole it represents. Why Are Area Models Important When Working With Fractions?Īrea models are important when working with fractions because they provide a way to visualize the fractional amount. It is a helpful method to use when you are first learning how to divide fractions. The area method is a visual way to divide fractions and find equivalent fractions. One part would represent 3/4 and the other part would represent 2. You would then divide the rectangle into 2 equal parts. For example, if you are dividing 3/4 by 2, you would draw a rectangle that is 3 units long and 4 units wide. You can use the area method to divide fractions by whole numbers as well. You can then see that 3/4 is equal to 1/2. One half would represent 3/4 and the other half would represent 1/2. You would then divide the rectangle into halves. ![]() For example, if you are dividing 3/4 by 1/2, you would draw a rectangle that is 3 units long and 4 units wide. The length of the rectangle should be the dividend and the width should be the divisor. To divide fractions using the area method, you need to draw a rectangle. The area method is one way to divide fractions and find an equivalent fraction. When you divide fractions, you are looking for an equivalent fraction that is easier to work with. One reason the area method works for diving fractions is because it is a way to find the equivalent fractions.
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