| Number & Number Sense | Computation & Estimation | Measurement & Geometry | Probability & Statistics | Patterns, Functions & Algebra | |
|---|---|---|---|---|---|
| Kindergarten | Whole Number Concepts | Whole Number Operations | Instruments and Attributes & Plane Figures | Data Collection and Display | Attributes and Patterning |
| Grade 1 | Place Values and Fraction Concepts | Whole Number Operations | Time and Nonstandard Measurement & Characteristics of Plane Figures | Data Collection and Interpretation | Patterning and Equivalence |
| Grade 2 | Place Values, Number Patterns and Fraction Concepts | Number Relationships and Operations | Money, Linear Measurement, Weight/Mass, and Volume & Symmetry and Plane and Solid Figures | Applications of Data | Patterning and Numerical Sentences |
| Grade 3 | Place Values and Fractions | Computation and Fraction Operations | US Customary and Metric Units, Area, Perimeter, and Time, & Properties and Congruence Characters of Plane and Solid Figures | Applications of Data and Chance | Patterns, and Property Concepts |
| Grade 4 | Place Values, Fractions, and Decimals | Factors, Multiples, and Fraction and Decimal Operations | Equivalence within US Customary and Metric Systems & Representations and Polygons | Outcomes and Data | Geometric Patterns, Equality and Properties |
| Grade 5 | Prime and Composite Numbers and Rounding Decimals | Multi-step Applications and Order of Operations | Perimeter, Area, Volume, and Equivalent Measures & Classification and Subdividing | Outcomes and Measures of Center | Equations and Properties |
| Grade 6 | Relationships among Fractions, Decimals, and Percents | Applications of Operations with Rational Numbers | Problem Solving with Area, Perimeter, Volume, and Surface Area & Properties and Relationships | Practical Applications of Statistics | Variable Equations and Properties |
| Grade 7 | Proportional Reasoning | Operations with Integers and Proportional Reasoning | Proportional Reasoning & Relationships between Figures | Applications of Statistics and Probability | Linear Equations |
The process standards define content delivery in mathematics. They include Problem Solving, Reasoning and Proof, Communications, Connections, and Representations.
| Process Standards | Expectation |
|---|---|
| Problem Solving | » 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 » Monitor and reflect on the process of mathematical problem solving |
| Reasoning & Proof | » Recognize reasoning and proof as fundamental aspects of mathematics » Make and investigate mathematical conjectures » Develop and evaluate mathematical arguments and proofs » Select and use various types of reasoning and methods of proof |
| Communication | » Organize and consolidate their mathematical thinking through communication » Communicate their mathematical thinking coherently and clearly to peers, teachers, and others » Analyze and evaluate the mathematical thinking and strategies of others; » Use the language of mathematics to express mathematical ideas precisely. |
| Connections | » Recognize and use connections among mathematical ideas » Understand how mathematical ideas interconnect and build on one another to produce a coherent whole » Recognize and apply mathematics in contexts outside of mathematics |
| Representation | » Create and use representations to organize, record, and communicate mathematical ideas » Select, apply, and translate among mathematical representations to solve problems » Use representations to model and interpret physical, social, and mathematical phenomena |
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