## What your student will be able to do after a successful year

### The real number system

• Extend the properties of exponents to rational exponents.
• Use properties in rational and irrational numbers.

### Quantities

• Reason quantitatively and use units to solve problems.

### Seeing structure in expressions

• Interpret the structure of linear expressions.
• Interpret the structure of exponential expressions.
• Write quadratic expressions in equivalent forms to solve problems.
• Write exponential expressions in equivalent forms to solve problems.
• Perform arithmetic operations on polynomials.

### Creating equations

• Create linear equations that describe numbers or relationships.
• Create exponential equations that describe numbers or relationships.
• Create quadratic equations that describe numbers or relationships.
• Create inequalities 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.

### Interpreting Functions

• Understand the concept of a function and use function notation.
• Interpret linear functions that arise in applications in terms of a context.
• Interpret exponential functions that arise in applications in terms of a context.
• Interpret quadratic functions that arise in applications in terms of a context.
• Analyze linear functions using different representations.
• Analyze exponential functions using different representations.
• Analyze quadratic functions using different representations.
• Analyze other functions using different representations.

### Building Functions

• Build a linear function that models a relationship between two quantities.
• Build an exponential function that models a relationship between two quantities
• Build a quadratic function that models a relationship between two quantities
• Build new functions from existing functions.
• Find inverse 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.

### 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.