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.
Throughout the year, first grade mathematicians engage in hands-on experiences with concrete manipulatives that further develop number sense and the foundational concepts of place value in our base ten number system. Students construct a variety of strategies for addition, subtraction and problem solving as they work to explain their thinking and illustrate their work in ways that make sense to them. Concepts explored in earlier grades, such as skip counting, odd and even numbers, ways to make 10, part-part-whole, and comparison (more than/less than), are further developed and connected to studies of measurement and data analysis throughout the year. Recognizing and explaining patterns in numbers on the hundreds chart relate to concepts of place value and support the development of more sophisticated computation strategies. Students engage in various investigations with standard and non-standard units of measurement, composing 2D and 3D shapes, and telling time to the nearest hour and half hour. They learn to identify coins and begin to find strategies that help them compute the value of a set of coins or explore multiple ways to combine coins to reach a specific sum.