Unit 7 Overview:

In this unit students will be developing their knowledge of fractions and decimals. Fourth graders will use concrete materials to model fraction concepts and values and extend their understanding of fraction equivalence and ordering. Students build an understanding for the relationship between fractions and decimals. They will use decimal notation for fractions and compare decimals.

• Students will explain why a fraction a/b is equivalent to a fraction (nxa)/(nxb) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions (NF.A.1)
• Students will compare two fractions with different numerators and different denominators by creating common denominators or by comparing to a benchmark fraction such as 1/2 . Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols <,>, =, and justify the conclusions by using a visual fraction model. (NF.A.2)
• Students will 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. (NF.B.3c)
• Students will 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. (NF.B.3d)
• Students will express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100 in order to add two fractions using a variety of representations. (NF.C.5)
• Students will generate a line plot using wholes, halves and quarters (data between 0 and 5) and solving problems based on the data from the line plot. (MD.B.4)
• Students will understand a fraction as a multiple of a unit fraction and be able to solve a variety of problem situations involving multiplying a whole number times a fraction using models, fraction strips, and number lines. (NF.B.4abc)
• Students will compare decimals and write in decimal notation for fractions with denominators 10 or 100. (NF.C.6, NF.C.7)