Unit 10 Quadratic Equations and Functions – Content Outcomes Essential Questions Key Concepts Standards Addressed Students will learn about quadratic graphs. How are quadratic functions of the form and Graphing quadratic functions of the form and California: CA 14, 19 -22 y=ax2 y=ax2 = + graphed? = + using tables. y ax2 c y ax2 c Common Core: F-IF-7a Students will learn about quadratic functions. What is a quadratic function? Graphing quadratic functions of the form California: CA 14, 19 -22 = + + using = . y ax2 bx c x How are quadratic functions of the form = + y ax2 Common Core: F-IF-7a + graphed? Graphing quadratic inequalities. bx c How are quadratic inequalities graphed? Students will understand how to solve a quadratic How is a quadratic equation solved by graphing? Solving quadratic equations by graphing. California: CA 14, 19 -22 equation. Solving quadratic equations using square roots. How is a quadratic equation solved using square Common Core: A-REI-4b roots? Students will understand how to solve a quadratic How is a quadratic equation solved by factoring? Solving quadratic equations by factoring. California: CA 14, 19 -22 equation using factoring. Common Core: A-SSE-3a; A-REI-4b Students will understand how to solve a quadratic How is a quadratic equation solved by completing Solving quadratic equations by completing the California: CA 14, 19 -22 equation by completing the square. the square? square. Common Core: A-REI-4b Students will learn about the quadratic formula. How is the quadratic formula used to solve Using the quadratic formula, = , to solve quadratic California: CA 14, 19 -22 x quadratic equations? equations. Common Core: A-REI-4b Students will learn about the discriminant. What is a discriminant? Finding the number of solutions of a quadratic California: CA 14, 19 -22 equation using the discriminant: 4ac. b2 – How is the number of solutions of a quadratic Common Core: equation found? Algebra 1
Unit 10 – Quadratic Equations and Functions Content Outcomes Essential Questions Key Concepts Standards Addressed Students will learn about quadratic graphs. How are quadratic functions of the form y=ax2 and y = ax2 + c graphed? Graphing quadratic functions of the form y=ax2 and y = ax2 + c using tables. California: CA 14, 19 -22 Common Core: F-IF-7a Students will learn about quadratic functions. What is a quadratic function? How are quadratic functions of the form y = ax2 + bx + c graphed? How are quadratic inequalities graphed? Graphing quadratic functions of the form y = ax2 + bx + c using x = . Graphing quadratic inequalities. California: CA 14, 19 -22 Common Core: F-IF-7a Students will understand how to solve a quadratic equation. How is a quadratic equation solved by graphing? How is a quadratic equation solved using square roots? Solving quadratic equations by graphing. Solving quadratic equations using square roots. California: CA 14, 19 -22 Common Core: A-REI-4b Students will understand how to solve a quadratic equation using factoring. How is a quadratic equation solved by factoring? Solving quadratic equations by factoring. California: CA 14, 19 -22 Common Core: A-SSE-3a; A-REI-4b Students will understand how to solve a quadratic equation by completing the square. How is a quadratic equation solved by completing the square? Solving quadratic equations by completing the square. California: CA 14, 19 -22 Common Core: A-REI-4b Students will learn about the quadratic formula. How is the quadratic formula used to solve quadratic equations? Using the quadratic formula, x = , to solve quadratic equations. California: CA 14, 19 -22 Common Core: A-REI-4b Students will learn about the discriminant. What is a discriminant? How is the number of solutions of a quadratic equation found? Finding the number of solutions of a quadratic equation using the discriminant: b2 – 4ac. California: CA 14, 19 -22 Common Core: Algebra 1