In this unit students will extend their understanding of fraction equivalence and ordering. Students will model fraction concepts and values with concrete materials. Fourth graders will gain familiarity with factors and multiples. Students will gain the ability to apply knowledge of factors to determine equivalent fractions as well as order fractions. They will build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Students will use concrete and pictorial models to add and subtract fractions with like denominators. Students will continue to build their knowledge of the relationship between mixed numbers and improper fractions.
- Students will generate equivalent fractions and explain why they are equivalent by using models, pictures, words, and numbers (denominators of 2, 3, 4, 5, 6, 8, 10, 12, 100). (NF.A.1)
- Students will express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100 using base ten models. (NF.A.1) (NF.C.5)
- Students will compare two fractions with different numerators and different denominators using concrete models, benchmarks, and by reasoning about their size. (NF.A.2)
- Students will decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify decompositions. (denominators of 2, 3, 4, 5, 6, 8, 10, 12, 100). (NF.B.3b)
- Students will understand that a non-unit fraction is greater than a unit fraction with the same denominator, and apply this understanding to recognize addition and subtraction of fractions as joining and separating parts referring to the same whole. (NF.B.3, 3a)
- Students will add and subtract fractions and mixed numbers with like denominators to solve word problems by using visual fraction models and equations to represent the problem. (NF.B.3.cd)
- Students will be able to generate a line plot using wholes, halves, and quarters and solve problems involving the addition and subtraction of fractions by using information presented in a line plot with measurements between 0 and 5 (MD.B.4)