Appreciate the value of mathematical notation and its role in the development of mathematical ideas. Understand and apply reasoning processes, with special attention to spatial reasoning and reasoning with proportions and graphs. Make and evaluate mathematical conjectures and arguments. Validate their own thinking. Appreciate the pervasive use and power of reasoning as a part of mathematics.
Connections See mathematics as an integrated whole.
Explore problems and describe results using graphical, numerical, physical, algebraic, and verbal mathematical models or representations. Use a mathematical idea to further their understanding of other mathematical ideas. Value the role of mathematics in our culture and society. Statistics Systematically collect, organize, and describe data. Construct, read, and interpret tables, charts, and graphs.