By the time students reach the Upper Elementary classroom, much of their math work is being done abstractly. However, some concepts,such as area, perimeter, volume, and the Pythagorean theorem exercise are still presented using hands-on Montessori materials. The core of the math curriculum follows students through several workbooks covering basic subjects such as measurement, percents, fractions, the metric system, geometry and algebra. Students work through these books at their own pace, and meet in small groups with the teacher on a weekly basis.
Geometry continues to be studied as a separate subject throughout each year in the Upper Elementary classroom. The Montessori geometry curriculum also continues to build on concepts and materials used in the Primary and Lower Elementary classrooms. Topics studied include geometry nomenclature, area, and volume. Students also construct geometric figures using protractors and compasses.