Sections from the Glencoe Algebra I Textbook: 1.6, 1.7, 1.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 4.1, 4.2, 4.3, 4.4

Discovery Ed. Lessons 3.1, 3.2 & 3.3

Unit Objectives:

• Identify linear equations, intercepts, and zeros.
• Graph linear equations.
• Solve linear equations by graphing.
• Estimate solutions to an equation by graphing.
• Find the slope of a line.
• Write and graph direct variation equations.
• Solve problems involving direct variation.
• Explain the difference between functions and relationships that are not functions.
• Use functions to represent real-world situations.
• Identify the domain and range of functions.
• Use function notation to evaluate functions.
• Use function notation to interpret key features such as identifying the value of f(3) given the table of a function and determining x given f(x)=5.
• Write sequences in next-now and recursive form.
• Relate arithmetic sequences to linear functions.
• Express linear relationships in a variety of forms: next-now, recursive, implicit (y=mx+b), and explicit (f(x)=mx+b).
• Use functions to represent real-world situations.
• Write equations in slope-intercept form.
• Write equations of lines in point­-slope form.
• Write an equation of the line that passes through a given point, parallel to a given line.
• Write an equation of the line that passes through a given point, perpendicular to a given line.

New Jersey Student Learning Standards for this Unit:

• F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
• F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima.
• A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
• F-IF.A.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then )f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y=f(x).
• F-IF.A.2: Understand the concept of a function and use function notation.
• F-IF.C.9: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
• F-LE.B.5: Interpret the parameters of a linear or exponential function in terms of a context.