Fifth-grade mathematics concepts include volume, division with two-digit divisors and the multiplication and division of simple fractions, according to the Common Core State Standards for Mathematics. Students at a fifth-grade level learn to recognize and analyze patterns and relationships between corresponding terms in preparation for algebra.
Fifth-grade math introduces the concept of the coordinate plane. Students learn to plot points on the coordinate plane and read and interpret line graphs. Different types of graphs are introduced, such as stem-and-leaf graphs. Students also learn to create and interpret pictographs and histograms.
Many geometric concepts are introduced at the fifth-grade level. Fifth graders learn to classify shapes by their attributes; for example, students learn to differentiate between a square and a rhombus and to recognize regular and irregular polygons. Students also become familiar with circumference, area and symmetry.
Overall, fifth-grade mathematics stresses a practical, real-world understanding of concepts. The concepts may be introduced through word problems or physical representations and models. Students gain an understanding of how these concepts apply to the world around them; for example, the Common Core emphasizes that students learn to explain how the concept of volume applies to three-dimensional space. Students also begin to perform basic conversions of measurements within the customary or metric system.