Section B.1 MTH 60
This information is accurate as of July 2024. For the complete, most recent CCOG, visit www.pcc.edu/ccog.
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www.pcc.edu/ccog/default.cfm?fa=ccog&subject=MTH&course=60
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Algebraic Expressions and Equations
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Simplify algebraic expressions using the distributive, commutative, and associative properties.
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Evaluate algebraic expressions.
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Translate phrases and sentences into algebraic expressions and equations, and vice versa.
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Distinguish between factors and terms.
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Distinguish between evaluating expressions, simplifying expressions, and solving equations.
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Linear Equations and Inequalities in One Variable
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Identify linear equations and inequalities in one variable.
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Use the definition of a solution to an equation or inequality to check if a given value is a solution.
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Solve linear equations, including proportions, and non-compound linear inequalities symbolically.
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Express inequality solution sets graphically and with interval notation.
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Create and solve linear equations and inequalities in one variable that model real life situations.
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Properly define variables; include units in variable definitions.
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State contextual conclusions using complete sentences.
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Use estimation to determine reasonableness of solutions.
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Solve an equation for a specified variable in terms of other variables.
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Solve applications in which two values are unknown but their total is known; for example, a 10-foot board cut into two pieces where one piece is 2.5 feet longer than the other piece.
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Introduction to Tables and Graphs
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Plot points on the Cartesian coordinate system, including pairs of values from a table.
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Determine coordinates of points by reading a Cartesian graph.
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Create a table of values from an equation or application. Make a plot from the table. When appropriate, correctly identify the independent variable with the horizontal axis and the dependent variable with the vertical axis.
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Classify points by quadrant or as points on an axis; identify the origin.
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Label and scale axes on all graphs.
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Create graphs where the axes are required to have different scales (e.g.
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Interpret graphs, intercepts and other points in the context of an application. Express intercepts as ordered pairs.
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Create tables and graphs with labels that communicate the context of an application problem and its dependent and independent quantities.
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Slope
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Write and interpret a slope as a rate of change in context (include the unit of the slope).
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Find the slope of a line from a graph, from two points, and from a table of values.
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Find the slope from all forms of a linear equation.
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Given the graph of a line, identify the slope as positive, negative, zero, or undefined. Given two non-vertical lines, identify the line with greater slope.
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Linear Equations in Two Variables
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Identify a linear equation in two variables.
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Manipulate a linear equation into slope-intercept form; identify the slope and the vertical intercept given a linear equation.
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Recognize equations of horizontal and vertical lines and identify their slopes as zero or undefined.
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Write the equation of a line in slope-intercept form.
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Write the equation of a line in point-slope form.
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Graphing Linear Equations in Two Variables
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Graph a line with a known point and slope.
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Emphasize that the graph of a line is a visual representation of the solution set to a linear equation.
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Given a linear equation, find at least three ordered pairs that satisfy the equation and graph the line using those ordered pairs.
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Given an equation in slope-intercept form, plot its graph using the slope and vertical intercept.
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Given an equation in point-slope form, plot its graph using the slope and the suggested point.
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Given an equation in standard form, plot its graph by calculating horizontal and vertical intercepts, and check with a third point.
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Given an equation for a vertical or horizontal line, plot its graph.
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Create and graph a linear model based on data and make predictions based upon the model.
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Systems of Linear Equations in Two Variables
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Solve and check systems of equations using the following methods: graphically, using the substitution method, and using the addition/elimination method.
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Create and solve real-world models involving systems of linear equations in two variables.
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Properly define variables; include units in variable definitions.
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State contextual conclusions using complete sentences.
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Given the equations of two lines, classify them as parallel, perpendicular, or neither.
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