Unit 1: Modeling Data and Functions

To differentiate between quantitative and qualitative data sets

To analyze qualitative data sets using Venn diagrams

To analyze univariate quantitative data sets

To analyze bivariate quantitative data sets using a table and a coordinate plane

To write relations in mathematical notation or to put patterns into mathematical notation

To identify when tables of data from a pattern or relation are functions

To determine if a data point satisfies an equation or inequality in the context of a relation

To compare relations that are functions to those that are not functions

To make a prediction using a function generated by data

To understand how restricting the from which subset of the real numbers our data comes can produce a function

To determine if a solving for parameter of a formula produces a function of another parameter.

Unit 2: Building Linear Equation Models

To use the data collecting methods to compare linear data to nonlinear data

To define rates as linear relationships

To define an algebraic sequence as a linear function with a domain restricted to the natural numbers

To define the slope as ratio of the change in dependent variable to the change in independent variable

To analyze the slope as a ratio of two mutually exclusive parameters

To derive a formula for determining the slope between any two points on a coordinate plane

To discuss the significance of the point a function intercepts an axis on a coordinate plane in the context of a problem

To discuss the significance of a the slope between any two points in the context of the problem

To analyze the slope intercept form of a linear function as an abstract object

To derive slope intercept form a line, when you are given the rate of change and a point on the line

To define a linear equation as an abstract object

To define a 2x2 system of equations and its solution

To solve a 2x2 system of equations using the transitive property

To solve a 2x2 system of equations using row operations

To define a 2x2 system of equations a matrix equation

Unit 3: The Algebra of Geometry: Linear Transformations

To define two types of metrics on the coordinate plane

To define matrix vector multiplication

To define a translation on a coordinate plane

To define a reflection on a coordinate plane

To define similarity on a coordinate plane

To define matrix matrix multiplication

To define matrix transformations as functions

To define scaling

To define a sequence of transformations as a composition of linear transformations
