CC.2.1.HS.F.7 Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems – Important Standards Addressed in this Unit: N/A Misconceptions: Difficulties with graphing quadratic equations Confusion with choosing the correct factoring method when solving quadratic equations Basic arithmetic errors when using completing the square or the quadratic formula Concepts/Content: Competencies/Skills: Description of Activities: Quadratic Graph quadratic functions Direct teacher-led instruction Parabola Find and interpret the maximum Large group Q & A discussion Axis of symmetry and minimum values of a Independent student work Vertex quadratic function Small group collaboration Standard form Solve quadratic equations by Online remedial/enrichment videos Root graphing Zero Estimate solutions of quadratic Factored form equations by graphing FOIL quadratic equations by Imaginary unit factoring Complex number Perform operations with pure Complex conjugates imaginary numbers Completing the square Perform operations with Quadratic formula complex numbers Discriminant Solve quadratic equations by using the square root property quadratic equations by completing the square quadratic equations by using the quadratic formula Use the discriminant to determine the number and type of roots of a quadratic equation Assessments: informal questioning in-class formative assessments review of homework
CC.2.1.HS.F.7 – Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems Important Standards Addressed in this Unit: N/A Misconceptions: Difficulties with graphing quadratic equations Confusion with choosing the correct factoring method when solving quadratic equations Basic arithmetic errors when using completing the square or the quadratic formula Concepts/Content: Quadratic Parabola Axis of symmetry Vertex Standard form Root Zero Factored form FOIL Imaginary unit Complex number Complex conjugates Completing the square Quadratic formula Discriminant Competencies/Skills: Graph quadratic functions Find and interpret the maximum and minimum values of a quadratic function Solve quadratic equations by graphing Estimate solutions of quadratic equations by graphing quadratic equations by factoring Perform operations with pure imaginary numbers Perform operations with complex numbers Solve quadratic equations by using the square root property quadratic equations by completing the square quadratic equations by using the quadratic formula Use the discriminant to determine the number and type of roots of a quadratic equation Description of Activities: Direct teacher-led instruction Large group Q & A discussion Independent student work Small group collaboration Online remedial/enrichment videos Assessments: informal questioning in-class formative assessments review of homework
2017-Honors-Algebra-II-BHASD-Math-Curriculum.docx