In this lesson, students apply their understanding of addition and subtraction of fractions to solve multi-step problems. They work with fractions and mixed numbers and make estimates as well as finding the values of sums and differences. Students find the sums and the differences in ways that make sense to them. They will choose common denominators and also can use techniques they have seen in earlier lessons, such as adding on to make a whole number.
Representation
MLR6
Interpret and add and subtract fractions and mixed numbers in context.
Resolvamos más problemas sumando y restando fracciones que tienen denominadores diferentes.
What strategies did most students use to add and subtract fractions today? Which strategies did you anticipate? Which did you not anticipate?
Standards Alignment
Building On
Addressing
5.NF.A.1
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, . (In general, .)
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result , by observing that .