Unit #1: FUNCTIONS Unit #1: FUNCTIONS I will know the definition of these terms as they relate to functions: Continuous graphs Function Notation Output Knowledge Targets “What I need to know” Reasoning Targets “What can I do with what I know?” Decreasing Independent Variable Dependent Variable Input Discrete graph Inverse Linear Functions Range Rate of change * constant or varies Sequence Domain Key features of graphs Term End behavior Maximum points Function Minimum points I will know the definition of these terms as they relate to functions: Continuous graphs Function Notation Output Decreasing Independent Variable Dependent Variable Input Discrete graph Inverse Linear Functions Range Rate of change * constant or varies Sequence Domain Key features of graphs Term x-intercept *(x,0) End behavior Maximum points x-intercept *(x,0) y- intercept *(0,y) Function Minimum points y- intercept *(0,y) Knowledge Targets “What I need to know” I can determine if a graph is a function I can determine if a graph is a function I can determine if a graph represents a linear or nonlinear function I can determine if a graph represents a linear or nonlinear function I can determine if two functions are inverses of each other I can determine if two functions are inverses of each other I can compare and contrast continuous and discrete graphs, situation I can compare and contrast continuous and discrete graphs, situation I can determine reasonable domain and range I can determine reasonable domain and range I can determine if a function is linear or nonlinear based on the rate(s) I can determine if a function is linear or nonlinear based on the rate(s) of change Reasoning Targets “What can I do with what I know?” of change I can compare and contrast two linear graphs I can compare and contrast two linear graphs I can compare and contrast two nonlinear graphs I can compare and contrast two nonlinear graphs I can write an equation using function notation I can write an equation using function notation Given a function I can find an corresponding output given an input Given a function I can find an corresponding output given an input Given a function I can find an corresponding input given an output Given a function I can find an corresponding input given an output Skill Targets Given a linear function I can determine the inverse function Skill Targets Given a linear function I can determine the inverse function “What can I demonstrate?” I can identify all key features given a graph, table, situation and/or “What can I demonstrate?” I can identify all key features given a graph, table, situation and/or equation: domain, range, end behavior, x and y intercepts, increasing equation: domain, range, end behavior, x and y intercepts, increasing and decreasing, maximum and minimum, discrete continuous and decreasing, maximum and minimum, discrete continuous I can graph a function: linear, nonlinear and identify key feature I can graph a function: linear, nonlinear and identify key feature I can write a function that describes a given pattern I can write a function that describes a given pattern

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# 00 Functions Unit Plan