P20.1


 * Outcome P20.1**
 * Demonstrate understanding of the absolute value of real numbers and equations and functions involving the absolute value of linear and quadratic functions. [C, PS, R, T, V]**
 * 1) Provide examples relevant to one’s life, family, or community that illustrate different situations in which quantities referenced are positive, negative, or an absolute value and justify.
 * 2) Determine the distance of two real numbers of the form ±a, a ϵ R, from 0 on a number line, and relate this to the absolute value of a (|a|).
 * 3) Determine the absolute value of a real number.
 * 4) Order, with justification, a set of real numbers that includes the absolute value of one or more of the quantities.
 * 5) Explain, with the use of examples, how absolute value fits into the order of operations used on expressions involving real numbers.
 * 6) Determine the value of numerical expressions involving absolute value(s).
 * 7) Simplify expressions involving absolute value(s).
 * 8) Analyze, describe, and explain the relationship between the graph of y = f(x) and y = |f(x)|.
 * 9) Create a table of values for y = |f(x)| given y = f(x).
 * 10) Sketch the graph of y = |f(x)| given y = f(x) and explain the reasoning.
 * 11) Develop and apply strategies for determining the intercepts, domain, and range of y = |f(x)| given the equation of the function or its graph.
 * 12) Explain what the range of the function y = |f(x)| reveals about the graph of the function.
 * 13) Develop, generalize, explain, and apply strategies for graphically determining (with and without the use of technology) the solution set of an equation involving absolute values of algebraic expressions.
 * 14) Develop, generalize, explain, and apply strategies for algebraically determining the solution set of an equation involving absolute values of algebraic expressions.
 * 15) Analyze and generalize conclusions about absolute value inequalities of the form |f(x)| < 0.
 * 16) Identify and correct errors in a solution to an absolute value equation.
 * 17) Solve situational questions involving absolute value functions or equations.
 * 18) Analyze and generalize the relationship between | x | and [[image:https://www.edonline.sk.ca/webapps/moe-curriculum-BBLEARN/images/math_en/square_root_of_x_2.png]]and between | f(x) | and [[image:https://www.edonline.sk.ca/webapps/moe-curriculum-BBLEARN/images/math_en/square_root_of_f_x2.png]].

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