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. In topology, some such properties are connections, crossings, number of holes. In topology, size and shape do not matter. Have students score the line that will not be cut, by tracing the lines with a ballpoint pen or a sharp pencil. When all the fold lines have been scored, let the students carefully cut the outlines of the shapes.