1 Make sense of problems and 2.Recognize interpret and concept of graphical symmetry to persevere in solving them. [Stewart] Section 2.8 model inverse of selected functions and their inverses. 2 Reason abstractly and functions algebraically, Construct an inverse given a function and quantitatively. graphically and in context of interpret results 3 Construct viable arguments real world examples Analyze properties of inverse functions and and critique the reasoning of others. verify if a function exists or if it is a one to one Model with math. CCSS: function Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Make sense of problems and 3.Explore and interpret Formulate the composition of two [Stewart] Section 2.7 persevere in solving them . composition of functions and functions. Reason abstractly and its effect on the domain and Investigate the restrictions on domain quantitatively. range of the newly composed when a function input is restricted by Construct viable arguments and function. another function critique the reasoning of others. Apply algebraic reasoning of compositions Model with math. CCSS: to the composition of a function and its Use appropriate tools inverse in determining if the function is one strategically to one. Attend to precision. Connect and analyze the impact the Look for and make use of structure. composing functions that has a domain Look for and express regularity restriction that continues to impact the in repeated reasoning. newly composed function, including composing inverse functions.
2.Recognize interpret and model inverse of selected functions algebraically, graphically and in context of real world examples CCSS: concept of graphical symmetry to functions and their inverses. Construct an inverse given a function and interpret results Analyze properties of inverse functions and verify if a function exists or if it is a one to one function [Stewart] Section 2.8 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. Model with math. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. 3.Explore and interpret composition of functions and its effect on the domain and range of the newly composed function. CCSS: Formulate the composition of two functions. Investigate the restrictions on domain when a function input is restricted by another function Apply algebraic reasoning of compositions to the composition of a function and its inverse in determining if the function is one to one. Connect and analyze the impact the composing functions that has a domain restriction that continues to impact the newly composed function, including composing inverse functions. [Stewart] Section 2.7 Make sense of problems and persevere in solving them . Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with math. Use appropriate tools strategically Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.
Trigonometry%20August%202013.docx