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
- Analyze functions using different representations.
Building Functions
- Build a function that models a relationship between two quantities.
Trigonometric Functions
- Extend the domain of trigonometric functions using the unit circle.
- Model periodic phenomena with trigonometric functions.
- Prove and apply trigonometric identities.
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Geometry
Similarity, Right Triangles, and Trigonometry
- Apply trigonometry to general triangles.
Circles
- Understand and apply theorems about circles.
Expressing Geometric Properties with Equations
- 1Translate between the geometric description and the equation for a conic section.
Geometric Measurement and Dimension
- Explain volume formulas and use them to solve problems.
- Visualize relationships between two-dimensional and three-dimensional objects.
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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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