Unit Essential Questions Unit Enduring Understandings How can we model applications Students will understand that… using quadratic functions? A quadratic function has the form , where How can we solve quadratic A quadratic equation can be solved by applying a equations using the quadratic variety of techniques. formula, factoring, or the graph of A quadratic equation can be solved by using a the parabola? graphing calculator. How can we choose a linear, The of a quadratic function results in a parabola. exponential or quadratic equation to model a real world situation? What terms are used to describe the zeros of a quadratic function? What are the different ways to solve quadratic equations and when is each appropriate? What does a quadratic function look like? Unit Objectives Unit Objectives Students will know… Students will be able to… The graph of a quadratic function Graph parabolas will intersect the x-axis in zero, one Find the x-intercepts of parabolas, and solutions. or two points. Determine the vertex. Utilize the zero-product property to solve equations. Quadratic equations are solved by Factor and solve quadratic equations. factoring or by applying the Solve quadratic equations using the quadratic formula. quadratic formula. To use the discriminant to determine the number and How to graph quadratic functions. type of real solutions. The roots are the x intercepts of a – To determine properties of a function given different quadratic function. representations. OCEAN COUNTY MATHEMATICS CURRICULUM Evidence of Learning Formative Assessments Observation DO-NOW Homework Notebook Class participation Writing prompts Whiteboards/communicators Exit passes Think-Pair-Share Self-assessment Summative Assessments Chapter/Unit Test
Unit Essential Questions How can we model applications using quadratic functions? How can we solve quadratic equations using the quadratic formula, factoring, or the graph of the parabola? How can we choose a linear, exponential or quadratic equation to model a real world situation? What terms are used to describe the zeros of a quadratic function? What are the different ways to solve quadratic equations and when is each appropriate? What does a quadratic function look like? Unit Enduring Understandings Students will understand that… A quadratic function has the form , where A quadratic equation can be solved by applying a variety of techniques. A quadratic equation can be solved by using a graphing calculator. The of a quadratic function results in a parabola. Unit Objectives Students will know… The graph of a quadratic function will intersect the x-axis in zero, one or two points. Quadratic equations are solved by factoring or by applying the quadratic formula. How to graph quadratic functions. The roots are the x – intercepts of a quadratic function. Unit Objectives Students will be able to… Graph parabolas Find the x-intercepts of parabolas, and solutions. Determine the vertex. Utilize the zero-product property to solve equations. Factor and solve quadratic equations. Solve quadratic equations using the quadratic formula. To use the discriminant to determine the number and type of real solutions. To determine properties of a function given different representations. OCEAN COUNTY MATHEMATICS CURRICULUM Evidence of Learning Formative Assessments Observation Homework Class participation Whiteboards/communicators Think-Pair-Share DO-NOW Notebook Writing prompts Exit passes Self-assessment Summative Assessments Chapter/Unit Test
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