How do you simplify and solve equations Determine whether the following statement is involving complex numbers? always, sometimes, or true. Explain your Additional Resources: reasoning. Objective(s): Students will perform operations with pure Every complex number has both a real part and an imaginary numbers. imaginary part. Students will perform operations with complex numbers. Conceptual Category: Ways of Looking: Enduring Understanding(s): McGraw-Hill Bridge Math Vocabulary: completing the square, Square Revisiting Concepts Any quadratic equation can be solved by first Root Property 12-5 Completing the Square writing it in the form m2 = n. Domain: Graphic Mathematics (W-GM) Prentice Hall Algebra 1 W-GM3 Find the solution of a quadratic Writing in Math: Essential Question(s): 9-5 Completing the Square equation and/or of a quadratic function. Can you solve any quadratic equation by What does the square” mean “completing completing the square? Explain your answer. in the context of solving quadratic Task(s): equations? Objective(s): Students will solve equations by using the Square Root Property. Additional Resources: Students will solve quadratic equations by completing the square. Mathsheel: Representing Quadratic Functions Graphically Conceptual Category: Ways of Looking: Enduring Understanding(s): McGraw-Hill Bridge Math Vocabulary: Quadratic Formula, Revisiting Concepts Every quadratic equation can be solved discriminant, 12-6 The Quadratic Formula and the using the Quadratic Formula. Domain: Graphic Mathematics (W-GM) Discriminant The discriminant of a quadratic equation Ways of Looking: Revisiting Concepts Prentice Hall Algebra 1 Writing in Math: determines whether the equation has two W-GM3 Find the solution of a quadratic real roots, one real root, or two complex 9-6 The Quadratic Formula and the Describe three different ways to solve equation and/or zeros of a quadratic function. conjugate roots. Discriminant x2 2x 15 = 0. Which method do you – – prefer, and why? Essential Question(s):
How do you simplify and solve equations involving complex numbers? Objective(s): Students will perform operations with pure imaginary numbers. Students will perform operations with complex numbers. Additional Resources: Determine whether the following statement is always, sometimes, or true. Explain your reasoning. Every complex number has both a real part and an imaginary part. Conceptual Category: Ways of Looking: Revisiting Concepts Domain: Graphic Mathematics (W-GM) W-GM3 Find the solution of a quadratic equation and/or of a quadratic function. Enduring Understanding(s): Any quadratic equation can be solved by first writing it in the form m2 = n. Essential Question(s): What does “completing the square” mean in the context of solving quadratic equations? Objective(s): Students will solve equations by using the Square Root Property. Students will solve quadratic equations by completing the square. McGraw-Hill Bridge Math 12-5 Completing the Square Prentice Hall Algebra 1 9-5 Completing the Square Task(s): Additional Resources: Mathsheel: Representing Quadratic Functions Graphically Vocabulary: completing the square, Square Root Property Writing in Math: Can you solve any quadratic equation by completing the square? Explain your answer. Conceptual Category: Ways of Looking: Revisiting Concepts Domain: Graphic Mathematics (W-GM) Ways of Looking: Revisiting Concepts W-GM3 Find the solution of a quadratic equation and/or zeros of a quadratic function. Enduring Understanding(s): Every quadratic equation can be solved using the Quadratic Formula. The discriminant of a quadratic equation determines whether the equation has two real roots, one real root, or two complex conjugate roots. Essential Question(s): McGraw-Hill Bridge Math 12-6 The Quadratic Formula and the Discriminant Prentice Hall Algebra 1 9-6 The Quadratic Formula and the Discriminant Vocabulary: Quadratic Formula, discriminant, Writing in Math: Describe three different ways to solve x2 – 2x – 15 = 0. Which method do you prefer, and why?