The document outlines key concepts in number and operations, algebra, and geometry. For number and operations, it discusses understanding numbers, representations of numbers, relationships between numbers, and number systems. It also mentions computing fluently and making reasonable estimates. For algebra, it discusses patterns, relations, functions, using algebraic symbols to represent mathematical situations, and analyzing change. For geometry, it discusses analyzing properties of 2D and 3D shapes, specifying locations and spatial relationships, applying transformations and symmetry, and using visualization to solve problems.
1. Number and Operations
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
2. Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
3. Geometry
Analyze characteristics and properties of two- and
three-dimensional geometric shapes and develop
mathematical arguments about geometric
relationships
Specify locations and describe spatial relationships
using coordinate geometry and other
representational systems
Apply transformations and use symmetry to
analyze mathematical situations
Use visualization, spatial reasoning, and geometric
modeling to solve problems