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Unit 1: Modeling Data and Functions
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To differentiate between quantitative and qualitative data sets
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To analyze qualitative data sets using Venn diagrams
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To analyze univariate quantitative data sets
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To analyze bivariate quantitative data sets using a table and a coordinate plane
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To write relations in mathematical notation or to put patterns into mathematical notation
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To identify when tables of data from a pattern or relation are functions
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To determine if a data point satisfies an equation or inequality in the context of a relation
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To compare relations that are functions to those that are not functions
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To make a prediction using a function generated by data
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To understand how restricting the from which subset of the real numbers our data comes can produce a function
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To determine if a solving for parameter of a formula produces a function of another parameter.
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Unit 2: Building Linear Equation Models
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To use the data collecting methods to compare linear data to non-linear data
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To define rates as linear relationships
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To define an algebraic sequence as a linear function with a domain restricted to the natural numbers
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To define the slope as ratio of the change in dependent variable to the change in independent variable
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To analyze the slope as a ratio of two mutually exclusive parameters
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To derive a formula for determining the slope between any two points on a coordinate plane
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To discuss the significance of the point a function intercepts an axis on a coordinate plane in the context of a problem
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To discuss the significance of a the slope between any two points in the context of the problem
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To analyze the slope intercept form of a linear function as an abstract object
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To derive slope intercept form a line, when you are given the rate of change and a point on the line
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To define a linear equation as an abstract object
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To define a 2x2 system of equations and its solution
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To solve a 2x2 system of equations using the transitive property
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To solve a 2x2 system of equations using row operations
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To define a 2x2 system of equations a matrix equation
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Unit 3: The Algebra of Geometry: Linear Transformations
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To define two types of metrics on the coordinate plane
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To define matrix vector multiplication
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To define a translation on a coordinate plane
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To define a reflection on a coordinate plane
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To define similarity on a coordinate plane
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To define matrix matrix multiplication
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To define matrix transformations as functions
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To define scaling
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To define a sequence of transformations as a composition of linear transformations
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