Essential Question(s) A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourages re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations. Bolded statements represent Essential Questions that span many units and courses. The statements shown in italics represent Essential Questions that are applicable specifically to the content in Unit 1 of Algebra II. When and how is mathematics used in solving real world problems? What characteristics of problems would determine how to model the situation and develop a problem solving strategy? What is the role of complex numbers in the equation solving process? When and why is it necessary to follow set when manipulating numeric or algebraic expressions? How do the ordered pairs on the graph of an equation relate to the equation itself and then to a system which contains the given equation? What are some similarities and differences between the algorithms used for performing operations on rational numbers and the algorithms used for performing operations on rational expressions? Why does the equation solving process sometimes produce extraneous solutions?
Essential Question(s) A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourages re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations. Bolded statements represent Essential Questions that span many units and courses. The statements shown in italics represent Essential Questions that are applicable specifically to the content in Unit 1 of Algebra II. When and how is mathematics used in solving real world problems? What characteristics of problems would determine how to model the situation and develop a problem solving strategy? What is the role of complex numbers in the equation solving process? When and why is it necessary to follow set when manipulating numeric or algebraic expressions? How do the ordered pairs on the graph of an equation relate to the equation itself and then to a system which contains the given equation? What are some similarities and differences between the algorithms used for performing operations on rational numbers and the algorithms used for performing operations on rational expressions? Why does the equation solving process sometimes produce extraneous solutions?
unitplan_polynomialrational_and_radical_relationships.docx