A.REI.2 Solving Radical Equations and Extraneous Investigation A.REI.11 Solutions This lesson seed describes an investigation that could be used This lesson seed describes an investigation after teaching the algebraic methods for solving radical that students could use to help them recognize equations. This activity will provide additional opportunities for extraneous solutions that are often produced students to solve radical equations algebraically and when solving a radical equation algebraically. graphically. This activity will also help students to understand the extraneous solutions. A.SSE.2 Rational Functions Enrichment A.SSE.3 This lesson seed begins with an activity to be The activities in this lesson seed could be used to extend the A.SSE.3a completed in groups that is designed to build study of rational functions. The lesson seed helps students to conceptual understanding about the discover the relationship between the function rule and the A.SSE.3b A.APR.6 characteristics of rational functions that lead to graph of a rational function and the restrictions on the domain F.IF.1 vertical asymptotes or holes in the graph. This and how they can be determined from each. F.IF.7d leads into a discussion of the domain of a rational function and the restrictions caused by these characteristics. A.REI.2 Solving Rational Equations-Octahedron Practice This lesson seed provides practice in solving This lesson seed describes a novel activity. Students solve radical equations. rational equations and then match problems and solutions on provided puzzle pieces that are then cut out a glued together to form an octahedron. Sample Assessment Items The items included in this component will be aligned to the standards in the unit. Topic Standards Link Notes Addressed Complex N.CN.2 This task asks students to perform computations Numbers A.SSE.2 involving complex numbers using the fact that
A.REI.2 A.REI.11 Solving Radical Equations and Extraneous Solutions This lesson seed describes an investigation that students could use to help them recognize extraneous solutions that are often produced when solving a radical equation algebraically. Investigation This lesson seed describes an investigation that could be used after teaching the algebraic methods for solving radical equations. This activity will provide additional opportunities for students to solve radical equations algebraically and graphically. This activity will also help students to understand the extraneous solutions. A.SSE.2 A.SSE.3 A.SSE.3a A.SSE.3b A.APR.6 F.IF.1 F.IF.7d Rational Functions This lesson seed begins with an activity to be completed in groups that is designed to build conceptual understanding about the characteristics of rational functions that lead to vertical asymptotes or holes in the graph. This leads into a discussion of the domain of a rational function and the restrictions caused by these characteristics. Enrichment The activities in this lesson seed could be used to extend the study of rational functions. The lesson seed helps students to discover the relationship between the function rule and the graph of a rational function and the restrictions on the domain and how they can be determined from each. A.REI.2 Solving Rational Equations-Octahedron This lesson seed provides practice in solving radical equations. Practice This lesson seed describes a novel activity. Students solve rational equations and then match problems and solutions on provided puzzle pieces that are then cut out a glued together to form an octahedron. Sample Assessment Items The items included in this component will be aligned to the standards in the unit. Topic Standards Addressed Link Notes Complex Numbers N.CN.2 A.SSE.2 This task asks students to perform computations involving complex numbers using the fact that
A2_UP_U1_Polynomial_Rational_and_Radical_Relationships_Dec_27.docx