Students will know … Students will understand… AN.2, AN.3 the radicand must be a non-negative number Radicals with even when the index is even indices are limited to the radicand can be a positive or negative non-negative number when the index is odd radicands, while odd indices have no restrictions on the radicands. AN.3 Students will know Students will understand… … Solving radical to check each root for validity equations can yield why some roots are extraneous extraneous roots. AN.2 Students will know Students will understand… … There are conventions when to rationalize denominators for simplifying answers when to simplify radicals after performing radical operations. 8888 = Algebra and Number I*AN Skills: Enduring Specific Description of Understanding Outcomes Skills List enduring List the reference The paraphrased outcome that the group is understandings (the # from the targeting fewer the better) Alberta Program of Studies Students will be able to… Students will understand… *AN.2, AN.3 add, subtract, multiply and divide radicals That operations simplify entire and mixed radicals performed on radicals compare and order radical expressions with are similar to other numerical radicands in a given set number systems and express an entire radical with a numerical algebraic operations. radicand as a mixed radical express a mixed radical with a numerical radicand as an entire radical
Students will understand… Radicals with even indices are limited to non-negative radicands, while odd indices have no restrictions on the radicands. AN.2, AN.3 Students will know … the radicand must be a non-negative number when the index is even the radicand can be a positive or negative number when the index is odd Students will understand… Solving radical equations can yield extraneous roots. AN.3 Students will know … to check each root for validity why some roots are extraneous Students will understand… There are conventions for simplifying answers after performing radical operations. AN.2 Students will know … when to rationalize denominators when to simplify radicals 8888 I*AN = Algebra and Number Skills: Enduring Understanding List enduring understandings (the fewer the better) Specific Outcomes List the reference # from the Alberta Program of Studies Description of Skills The paraphrased outcome that the group is targeting Students will understand… That operations performed on radicals are similar to other number systems and algebraic operations. *AN.2, AN.3 Students will be able to… add, subtract, multiply and divide radicals simplify entire and mixed radicals compare and order radical expressions with numerical radicands in a given set express an entire radical with a numerical radicand as a mixed radical express a mixed radical with a numerical radicand as an entire radical