Number and Quantity
The Real Number System
- Extend the properties of exponents to rational exponents.
- Use properties of rational and irrational numbers.
Quantities
- Reason quantitatively and use units to solve problems.
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Algebra
Seeing Structure in Expressions
- Interpret the structure of expressions.
- Write expressions in equivalent forms to solve problems.
Arithmetic with Polynomials and Rational Expressions
- Perform arithmetic operations on polynomials.
Creating Equations
- Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities
- Understand solving equations as a process of reasoning and explain the reasoning.
- Solve equations and inequalities in one variable.
- Solve systems of equations.
- Represent and solve equations and inequalities graphically.
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Functions
Interpreting Functions
- Understand the concept of a function and use function notation.
- Interpret functions that arise in applications in terms of the context.
- Analyze functions using different representations.
Building Functions
- Build a function that models a relationship between two quantities.
- Build new functions from existing functions.
Linear, Quadratic, and Exponential Models
- Construct and compare linear, quadratic, and exponential models and solve problems.
- Interpret expressions for functions in terms of the situation they model.
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Statistics and Probability
Interpreting Categorical and Quantitative Data
- Summarize, represent, and interpret data on a single count or measurement variable.
- Summarize, represent, and interpret data on two categorical and quantitative variables.
- Interpret linear models.
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Standards For Mathematical Practice
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
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