Principles and Standards for School Mathematics
Understand patterns, relations, and functions
Expectations (6 - 8)
represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules;
Represent and analyze mathematical situations and structures using algebraic symbols
Expectations (3 - 5)
express mathematical relationships using equations.
Expectations (6 - 8)
represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules;
use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships;
Use mathematical models to represent and understand quantitative relationships
Expectations (3 - 5)
express mathematical relationships using equations.
model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Expectations (6 - 8)
represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules;
use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships;
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
Expectations (3 - 5)
identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes;
make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions.
Use visualization, spatial reasoning, and geometric modeling to solve problems
Expectations (3 - 5)
identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes;
make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions.
build and draw geometric objects;
identify and build a three-dimensional object from two-dimensional representations of that object;
Expectations (9 - 12)
draw and construct representations of two- and three-dimensional geometric objects using a variety of tools;
Reasoning and Proof Standard
Make and investigate mathematical conjectures