Building Fractions

Fourth Grade | Numbers and Operations: Adding and Subtracting Fractions

Standard:  CC.2.1.4.C.2, M04.A-F.2.1.1, M04.A-F.2.1.2, M04.A-F.2.1.3, M04.A-F.2.1.4, CC.2.1.4.C.3, M04.A-F.3.1.1  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Add and subtract fractions with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; answers do not need to be simplified; and no improper fractions as the final answer). Decompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Justify decompositions (e.g., by using a visual fraction model). Add and subtract mixed numbers with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; no regrouping with subtraction; fractions do not need to be simplified; and no improper fractions as the final answers). Solve word problems involving addition and subtraction of fractions referring to the same whole or set and having like denominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100). Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g, 19/100). Add two fractions with respective denominators 10 and 100.

I can...

LEARNING SCALE

With help, the student demonstrates partial success at 2.0 and 3.0.

I can recognize or recall specific vocabulary, such as: visual fraction model, denominator, and decomposition.

 I will perform basic processes, such as: explain algorithms for adding or subtracting fractions and mixed numbers; explain strategies for solving word problems involving fractions; explain how to decompose fractions.

I can add fractions with a common denominator.

I can add two fractions with respective denominators 10 and 100.

I can subtract fractions with a common denominator.

I can decompose a fraction or a mixed number into a sum of fractions with the same denominator recording the decomposition by an equation.

I can justify decompositions by using a visual fraction model.

I can add mixed numbers with a common denominator.

I can subtract mixed numbers with a common denominator, no regrouping.

I can solve word problems involving addition and subtraction of fractions referring to the same whole or set and having like denominators.

SUPPORTING RESOURCES