Algebra I Overview
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.
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.
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.
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.
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.
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.
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.
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.