Bivariate data can be modeled with mathematical functions that approximate the data well and help us make predictions based on the data.

Families of functions exhibit properties and behaviors that can be recognized across representations. Functions can be transformed, combined, and composed to create new functions in mathematical and real world situations.

Mathematical functions are relationships that assign each member of one set (domain) to a unique member of another set (range), and the relationship is recognizable across representations.

Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms.

Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations.

There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations and inequalities.

Algebraic properties and processes

Analysis of one and two variable (univariate and bivariate) data

Functions and multiple representations

Linear relationships: Equation and inequalities in one and two variables

Linear system of equations and inequalities

Use algebraic properties and processes in mathematical situations and apply them to solve real world problems.

Write, solve, and interpret systems of two linear equations and inequalities using graphing and algebraic techniques.

Write, solve, graph, and interpret linear equations and inequalities to model relationships between quantities.