San Marino Scuola Media Curriculum - Mathematics (Third Year)

Mathematics

The mathematics curriculum emphasizes problem-solving, modeling, and applying mathematical concepts to real-world situations. The curriculum covers four main mathematical areas: Numbers and Calculations, Space and Figures, Data and Predictions, and Relationships and Functions. Students are encouraged to actively participate in mathematical discussions, present their conjectures, and explore complex situations using digital resources.

Skills and Knowledge

• Numbers and Calculations: Students will work with integers, rational numbers (fractions and decimals), percentages, powers, and square roots. They will perform calculations using various methods (mental, written, calculator, software), apply properties of operations, estimate results, and translate problem-solving procedures into mathematical expressions.
• Space and Figures: Students will draw and represent geometric shapes in two and three dimensions, recognize properties of triangles, quadrilaterals, polygons, and circles, and understand geometric transformations and scaling. They will also learn about the Pythagorean theorem and calculate areas and volumes of various shapes.
• Data and Predictions: Students will design and conduct data collections, organize and analyze data, calculate statistical measures (mean, mode, median), and determine probabilities of events.
• Relationships and Functions: Students will work with proportionality, use letters to express general relationships, interpret and manipulate literal expressions, solve first-degree equations, and represent linear functions and relationships on the Cartesian plane. They will also learn to recognize graphs of direct, inverse, and exponential proportionality functions.

Methodologies

The mathematics curriculum emphasizes hands-on activities, laboratory work, mathematical games, and cooperative learning. Students are encouraged to engage in mathematical discussions, present their conjectures, and justify their reasoning. Teachers will use real-world contexts to illustrate mathematical concepts and utilize digital tools to represent mathematical objects and explore complex situations.