Decompose fractions into difference1/29/2024 ![]() ![]() And finally, they apply these understandings to complex cases, such as word problems or fraction addition involving fractions where one denominator is a multiple of the other, which helps prepare students for similar work with decimal fractions in Unit 6. Next, they learn to add and subtract fractions. With each of these numerical cases, they first develop an understanding of non-unit fractions as sums and multiples of unit fractions. ![]() The unit is structured so that students build their understanding of fraction operations gradually, first working with the simplest case where the total is a fraction less than 1, then the case where the total is a fraction between 1 and 2 (to understand regrouping when operating in simple cases), and finally the case where the total is a fraction greater than 2. Thus, in this unit, armed with a deep understanding of fractions and their value, students start to operate on them for the first time. In Unit 4, 4th grade students deepened this understanding of equivalence and comparison, learning the fundamental property that “multiplying the numerator and denominator of a fraction by the same non-zero whole number results in a fraction that represents the same number as the original fraction” (NF Progression, p. They also did some rudimentary work with equivalent fractions and comparison of fractions. In 3rd Grade Math, students developed their understanding of the meaning of fractions, especially using the number line to make sense of fractions as numbers themselves. Students will apply this knowledge to word problems and line plots. Students will then add and subtract fractions with like denominators and multiply a whole number by a fraction, including mixed numbers. In this unit, 4th grade students begin their work with operating with fractions by understanding them as a sum of unit fractions or a product of a whole number and a unit fraction. ![]()
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