Use substitution to check the equality of expressions for some particular values of the variables recognize that checking with substitution does not guarantee equality of expressions for all values of the variables. 9-11.9.2.3.7 Justify steps in generating equivalent expressions by identifying the properties used.9-11.9.2.3.6 Apply the properties of positive and negative rational exponents to generate equivalent algebraic expressions, including those involving nth roots.9-11.9.2.3.3 Factor common monomial factors from polynomials, factor quadratic polynomials, and factor the difference of two squares.9-11.9.2.3.2 Add, subtract and multiply polynomials divide a polynomial by a polynomial of equal or lower degree.9-11.9.2.3 Generate equivalent algebraic expressions involving polynomials and radicals use algebraic properties to evaluate expressions.Know how to use graphing technology to graph these functions. 9-11.9.2.2.3 Sketch graphs of linear, quadratic and exponential functions, and translate between graphs, tables and symbolic representations.9-11.9.2.2.2 Represent and solve problems in various contexts using exponential functions, such as investment growth, depreciation and population growth.9-11.9.2.2.1 Represent and solve problems in various contexts using linear and quadratic functions.
9-11.9.2.2 Recognize linear, quadratic, exponential and other common functions in real-world and mathematical situations represent these functions with tables, verbal descriptions, symbols and graphs solve problems involving these functions, and explain results in the original context.Know how to use graphing technology to examine translations. 9-11.9.2.1.9 Determine how translations affect the symbolic and graphical forms of a function.9-11.9.2.1.8 Make qualitative statements about the rate of change of a function, based on its graph or table of values.9-11.9.2.1.6 Identify intercepts, zeros, maxima, minima and intervals of increase and decrease from the graph of a function.9-11.9.2.1.5 Identify the vertex, line of symmetry and intercepts of the parabola corresponding to a quadratic function, using symbolic and graphical methods, when the function is expressed in the form f(x) = ax 2 + bx + c, in the form f(x) = a(x – h) 2 + k, or in factored form.9-11.9.2.1.4 Obtain information and draw conclusions from graphs of functions and other relations.9-11.9.2.1.3 Find the domain of a function defined symbolically, graphically or in a real-world context.9-11.9.2.1.2 Distinguish between functions and other relations defined symbolically, graphically or in tabular form.Use functional notation and evaluate a function at a given point in its domain. 9-11.9.2.1.1 Understand the definition of a function.9-11.9.2.1 Understand the concept of function, and identify important features of functions and other relations using symbolic and graphical methods where appropriate.
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