# Heart of Algebra

**Create, solve, or interpret a linear expression or equation in one variable****Create, solve, or interpret linear inequalities in one variable****Build a linear function that models a linear relationship between two quantities.****Create, solve, and interpret systems of linear inequalities in two variables.****Create, solve, and interpret systems of two linear equations in two variables.****Algebraically solve linear equations (or inequalities) in one variable.****Algebraically solve systems of two linear equations in two variables.****Interpret the variables and constants in expressions for linear functions within the context presented.****Understand connections between algebraic and graphical representations.**

# Problem Solving and Data Analysis

**Use ratios, rates, proportional relationships, and scale drawings to solve single- and multistep problems.****Solve single- and multistep problems involving percentages.****Solve single- and multistep problems involving measurement quantities, units, and unit conversion.****Given a scatterplot, use linear, quadratic, or exponential models to describe how the variables are related.****Use the relationship between two variables to investigate key features of the graph.****Compare linear growth with exponential growth.****Use two-way tables to summarize categorical data and relative frequencies, and calculate conditional probability.****Make inferences about population parameters based on sample data.****Use statistics to investigate measures of center of data and analyze shape, center, and spread.****Evaluate reports to make inferences, justify conclusions, and determine appropriateness of data collection methods.**

# Passport to Advanced Math

**Create a quadratic or exponential function.****Determine the most suitable form of an expression.****Create equivalent expressions involving rational exponents****Create an equivalent form of an algebraic expression**.**Solve a quadratic equation**.**Add, subtract, and multiply polynomial expressions**.**Solve an equation in one variable that contains radicals or contains the variable in the denominator of a fraction.****Solve a system of one linear equation and one quadratic equation.****Rewrite simple rational expressions.****Interpret parts of nonlinear expressions in terms of their context.****Understand the relationship between zeros and factors of polynomials**.**Understand a nonlinear relationship between two variables**.**Use function notation, and interpret statements using function notation.****Use structure to isolate or identify a quantity of interest.**