The Grammar School mathematics program develops mathematical thinkers who value collaboration and communication when investigating big ideas, identifying patterns and explaining relationships. Students learn to think flexibly and persevere through productive struggles as they develop the growth mindset needed for problem solving. Concepts and skills build from grade to grade in each of the major domains: counting and cardinality, operations and algebraic thinking, numbers and operations in base ten, numbers and operations with fractions, measurement and data, and geometry. Students are given ample opportunity to construct their own understanding of foundational concepts and computation strategies through hands-on experiences and rich opportunities for discourse, as well as the use of concrete materials, pictorial models and contextual problem solving. Our teachers and math specialists promote the type of learning environment that encourages risk-taking and celebrates mistakes as students revise and develop their thinking.
Third grade mathematicians become experienced problem-solvers who flexibly access a host of strategies and work to express their thinking to their peers in collaborative tasks. They learn to analyze the process and explain their reasoning with words, equations and diagrams. Students build upon their understanding of place value through the thousands and begin to realize why our number system is called a base ten number system. They explore properties of operations as they learn to use sophisticated strategies for mental computations and further enrich their number sense. Multiplication and division are formally introduced and students have ample experience building models to represent multiplicative contexts. Fact fluency begins to build as students find creative ways to use facts they know to reason about those they do not. Measurement and geometry units support this conceptual work as students take on rich investigations with area and perimeter. Finally, fractions are explored and students begin to see the conceptual connections between division, common multiples and fractions.