Limitations: In this course function and extraneous rational functions are limited to solutions those whose numerators are of Ability to identify extraneous degree at most one and solutions denominators of degree at most 2. A.REI.11 Explain why the Note: This is an overarching This standard is included many throughout Algebra I and Algebra II. By the end of this unit students should understand that the coordinates x-coordinates of the points standard that will be revisited of the point(s) of intersection of graphs of two equations represent the where the graphs of the as each function is studied. solution(s) to the system created by the two equations. equations y = f(x) and y = g(x) intersect are the solutions of the Ability to connect experience equation with solving systems of f(x) = g(x); find the solutions equations graphically from approximately, e.g., using Algebra I to solving systems technology to graph the that include polynomial, functions, make tables of values, exponential ,rational, root , or find successive absolute value and logarithmic Include cases functions approximations. where f(x) and/or g(x) are linear, Ability to show the equality of polynomial, rational, absolute two functions using multiple value, exponential, and representations logarithmic functions. ★ Note: Include combinations of linear, polynomial, rational, radical, absolute and exponential functions. F.IF.7 functions expressed Ability to connect experience symbolically and show key with graphing linear, features of the graph, by hand in exponential and quadratic simple cases and using functions from Algebra I to technology for more complicated graphing polynomial functions Ability to identify key features cases. ★ of a function: max, min,
Limitations: In this course rational functions are limited to those whose numerators are of degree at most one and denominators of degree at most 2. function and extraneous solutions Ability to identify extraneous solutions A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. ★ Note: Include combinations of linear, polynomial, rational, radical, absolute and exponential functions. Note: This is an overarching standard that will be revisited as each function is studied. Ability to connect experience with solving systems of equations graphically from Algebra I to solving systems that include polynomial, exponential ,rational, root , absolute value and logarithmic functions Ability to show the equality of two functions using multiple representations This standard is included many throughout Algebra I and Algebra II. By the end of this unit students should understand that the coordinates of the point(s) of intersection of graphs of two equations represent the solution(s) to the system created by the two equations. F.IF.7 functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. ★ Ability to connect experience with graphing linear, exponential and quadratic functions from Algebra I to graphing polynomial functions Ability to identify key features of a function: max, min,
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