Big Ideas: Students will investigate and analyze algebraic relations through a variety of representations, make connections among those representations, graph linear functions, and write equations of lines to include both slope and y-intercepts. Students will also determine if a relation is a function, identify the domain and range of the function, and distinguish between the independent and dependent variables.
Essential Questions students should be able to answer:
What does a slope tell us about a given situation, and how can it be applied to problems in context?
How can the rate of change and y-intercept of a function be determined and applied to make predictions?
How can we apply our understanding of independent and dependent variables to real-life scenarios?
How is the algebraic representation of a linear function related to its graph?
How can we determine if a relation is a function and identify the domain or range of a given mathematical representation?
What are the inferences that can be drawn from sets of data points having a positive relationship, a negative relationship, and no relationship?