![]() ![]() ![]() Sample answer that indicates understanding: 1/3 + 1/3 + 1/3 +1/3 or 2/3 + 2/3 or 1/3 + 3/3 or 2/3 + 1/3 + 1/3 including the rearrangement of the addends.Ask students to decompose a fraction like 4/3 into a sum of fractions in more than one way.Provide activities that make connections between addition and subtraction of fractions to addition and subtraction of whole numbers.This will help build a strong conceptual foundation that students will need in 5th grade when working with unlike denominators. It is important to provide students ample opportunity to experience tasks oriented around the two bullets above (components “a.” and “b.” of the standard) before moving to using procedural algorithms to solve word problems involving addition and subtraction of fractions and mixed numbers.Provide opportunities for students to compose and decompose fractions, including fractions greater than 1 and mixed numbers, into unit fractions and fractions with the same denominator using concrete and pictorial representations, words, and numbers.Provide students with manipulatives including fraction tiles, number lines and area models to use as they solve problems involving addition and subtraction of fractions.Explain their thinking using models, pictures, numbers and words.Use a variety of materials to model and describe various situations involving adding and subtracting fractions and mixed numbers.Use words, pictures, and/or numbers to explain any algorithm used to regroup fractions or add and subtract fractions and mixed numbers.Just as they added 1 teddy bear to 3 teddy bears when they were in the primary grades, they are now adding 1 “sixth” to 3 “sixths”. Understand that the denominator names the unit being added or subtracted.Decompose and compose fractions, including fractions greater than one, and mixed numbers into unit fractions and fractions with the same denominator using models and pictures prior to moving to an algorithm.Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.ĭ. Justify decompositions, e.g., by using a visual fraction model. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.ī. ![]()
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