Students construct number meanings through real-world experiences and the use of physical materials. Students relate geometric ideas to number and measurement ideas. Students relate geometric ideas to number and measurement ideas. Students can represent situations and number patterns with tables, graphs, verbal rules, and equations and explore the interrelationships of the representations. Students analyze tables and graphs to identify properties and relationships.
Students know that mathematical ideas can be represented concretely, graphically and symbolically.
Students know that table and graphs can show how values of one quantity are related to values of another. A chemist makes a sketch to show how the atoms of a complex molecule are joined by chemical bonds. A genealogist drawsan intricate family tree. A military commander plots a network of supply lines on a map. A sociologist traces in an elaborate diagram the power structure of a giant corporation.