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.
Grade 3 Curriculum Focal Points
Number and Operations and Algebra: Developing understandings of multiplication and division and strategies for basic multiplication facts and related division facts
Number and Operations: Developing an understanding of fractions and fraction equivalence
Geometry: Describing and analyzing properties of two-dimensional shapes
Connections to the Grade 3 Focal Points
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.
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.
Understand measurable attributes of objects and the units, systems, and processes of measurement.
Apply appropriate techniques, tools, and formulas to determine measurements.
Data Analysis and Probability
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
Select and use appropriate statistical methods to analyze data.
Develop and evaluate inferences and predictions that are based on data.
Understand and apply basic concepts of probability.
Build new mathematical knowledge through problem solving.
Solve problems that arise in mathematics and in other contexts.
Apply and adapt a variety of appropriate strategies to solve problems.
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.