F.IF.4 For a function that models a relationship between two Construct viable quantities, interpret key features of graphs and tables in terms arguments and of the quantities, and sketch graphs showing key features given critique the a verbal description of the relationship. Key features include: reasoning of others. intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; with symmetries; end behavior; and periodicity. ★ mathematics. Essential Skills and Knowledge Use appropriate Interpret functions Ability to connect appropriate function to context strategically. that arise in Knowledge of the key features of linear, exponential, applications in terms polynomial, root, absolute value, piece-wise, simple of a context. Attend to precision. rational, logarithmic and trigonometric functions Look for and make F.IF.5 Relate the domain of a function to its graph and, where use of structure. applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it Look for and takes to assemble n engines in a factory, then the positive express regularity integers would be an appropriate domain for the function. ★ in repeated reasoning. Essential Skills and Knowledge Ability to relate the concept of domain to each function studied Ability to describe the restrictions on the domain of all functions studied based on real world context F.IF.6 Calculate and interpret the average rate of change of a Make sense of function (presented symbolically or as a table) over a specified problems and interval. Estimate the rate of change from a graph. ★ persevere in solving them. Reason abstractly Essential Skills and Knowledge and quantitatively.
Interpret functions that arise in applications in terms of a context. F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. ★ Essential Skills and Knowledge Ability to connect appropriate function to context Knowledge of the key features of linear, exponential, polynomial, root, absolute value, piece-wise, simple rational, logarithmic and trigonometric functions F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. ★ Essential Skills and Knowledge Ability to relate the concept of domain to each function studied Ability to describe the restrictions on the domain of all functions studied based on real world context F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. ★ Essential Skills and Knowledge Construct viable arguments and critique the reasoning of others. with mathematics. Use appropriate strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively.