4.+Functions+-+Standards

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 * =4: Functions and Graphs= || **Grove** || **Pender** ||
 * **Functions Concepts** ||  ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 1 || Can describe the concepts of variables and functions using algebraic, graphical and tabular representations. || 5.1 || 2F ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 2 || Can explain the difference between independent and dependent variables. || 5.1 ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 3 || Can explain domain and range of a function. || 5.1 || 2F ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 4 || Can describe and use the y = f(x) notation. || 5.2 ||  ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 5 || Can use f(x) definitions when different parts of the function domain have different algebraic expressions (eg: step functions, absolute value function). || 5.2 ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 6 || Can determine the valid domain for functions when the domain is not specified (the natural domain). || 5.1 || 2F ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 7 || Can explain the difference between bounded and unbounded domain intervals. ||   ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 8 || Can explain the difference between a relation and a function and apply the vertical line test. || 5.1 ||  ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 9 || Can describe the idea of an inverse relation. ||   || 2H ||
 * **The Function Zoo** ||  ||   ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 10 || Can describe, explain and draw graphs of linear functions. || 5.4 || 2G ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 11 || Can describe, explain and draw graphs of quadratic functions. || 5.5 || 2G ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 12 || Can describe, explain and draw graphs of cubic functions, with reference to the three different variations of cubic graphs. || 5.9 || 2G ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 13 || Can recognise even and odd function by their graphs and verify algebraically. || 5.3 || 3E ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 14 || Can describe, explain and draw graphs of absolute value functions. || 5.6 || 2G, 3D ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 15 || Can describe, explain and draw exponential and logarithmic functions. || 5.9 || 2G ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 16 || Can describe the circle as a locus in geometric and algebraic terms. || 5.8 || 2G ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 17 || Can explain why the graph of a circle is not a function and ways to develop a function from the circle. || 5.8 ||   ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 18 || Can describe, explain and draw graphs of rectangular hyperbolic functions. || 5.7 ||  ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 19 || Can recognise and use the limits notation to describe asymptotes. || 5.11 || 2G ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 20 || Can describe a graph in terms of its key properties : intercepts, positive, negative, increasing and decreasing, symmetry, bounds, sharp corners, holes, asymptotes. || 5.3, 5.11 || 3G ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 21 || Can describe, explain and draw the transformations f(x)+a, f(x-a). ||   || 2I ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 22 || Can describe, explain and draw the transformations af(x), f(ax). ||   || 2I, 2J ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 23 || Can apply a strategy to sketch curves. ||  ||   ||
 * **Limits and Continuity** ||  ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 24 || Can describe the idea of limits. || 5.1 ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] ||  || 25 || Can describe the idea of continuity. || 5.1 ||   ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 26 || Can find limits of rational polynomial expressions as x approaches infinity. || 5.1 ||  ||
 * || [[image:Icon-Spanner.png width="25" height="29"]] || 27 || Can find the limit of a rational polynomial function as it approaches an x value where the function is undefined. || 5.11 ||  ||
 * **Regions** ||  ||   ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 28 || Can graph inequalities in terms of regions in the xy plane. || 5.12 || 3A, 3E ||
 * [[image:Icon-Lightbulb.png width="25" height="24"]] || [[image:Icon-Spanner.png width="25" height="29"]] || 29 || Can graph bounded and unbounded regions in the xy plane. || 5.13 || 3F ||

Source document for this table at @https://docs.google.com/spreadsheet/ccc?key=0AiVkChxwrC4DdE54ZlUxQkhMWkd5QnVQOTRIaGxRdlE&authkey=CKz86OUP