Nc math 1 unit 8 interpreting quadratic functions answer key

These lessons introduce quadratic polynomials from a basic perspective.  We then build on the notion of shifting basic parabolas into their vertex form.  Completing the square is used as a fundamental tool in finding the turning point of a parabola.  Finally, the zero product law is introduced as a way to find the zeroes of a quadratic function.

• Unit #8 Review – Quadratic Functions and Their Algebra

• Unit #8 Assessment Form A

• Unit #8 Assessment Form B

• Unit #8 Assessment Form C

• Unit #8 Assessment Form D

• Unit #8 Mid-Unit Quiz (Through Lesson #4) – Form A

• Unit #8 Mid-Unit Quiz (Through Lesson #4) – Form B

• Unit #8 Mid-Unit Quiz (Through Lesson #4) – Form C

• U08.AO.01 – Perfect Square Warm-Up (Before Lesson #4)

• U08.AO.02 – Lesson #4.5.Axis of Symmetry Formula

• U08.AO.03 – Lesson #6.5.The Zeros of a Quadratic.Practice

• U08.AO.04 – Lesson #7.5.Solving Linear-Quadratic Systems

• U08.AO.05 – Lesson #9.Additional Quadratic Word Problems

• U08.AO.06 – Lesson #10.The Factored Form of a Polynomial

• U08.AO.07 – Practice Graphing Parabolas

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NC Math 1 Unit 8 Quadratic FunctionsDeveloped by CHCCS and WCPSS8.8 Rainy Day–Teacher’s NotesA Practice Understanding TaskNote to Teacher:The use of a graphing calculator (or desmos) is recommended for this task.The function given is factorable, but factoring it is not necessary for completing the task.Purpose:The purpose of this task is to revisit features of functions in standard and factoredform.Students solidify their understanding of factoring by connecting their work on factoringtrinomial expressions to factoring quadratic functions in standard form.Students practicesolving quadratic equations in different forms, including those that must be re-written prior tofactoring.Core Standards:NC.M1.A-APR.3Understand the relationships among the factors of a quadratic expression,the solutions of a quadratic equation, and the zeros of a quadratic function.NC.M1.F-IF.9Compare key features of two functions (linear, quadratic, or exponential) each with adifferent representation (symbolically, graphically, numerically in tables, or by verbaldescriptions).NC.M1.F-IF.7Analyze linear, exponential, and quadratic functions by generating different representations,by hand in simple cases and using technology for more complicated cases, to show keyfeatures, including: domain and range; rate of change; intercepts; intervals where thefunction is increasing, decreasing, positive, or negative; maximums and minimums; and endbehavior.NC.M1.F-IF.4Interpret key features of graphs, tables, and verbal descriptions in context to describefunctions that arise in applications relating two quantities, including: intercepts; intervalswhere the function is increasing, decreasing, positive, or negative; and maximums andminimums.Supporting Standards:NC.M1.F-IF.2

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Unit 1 Sequences

Unit 2 Linear & Exponential Functions

Unit 3 Features of Functions

Unit 4 Equations & Inequalities

Unit 5 Connecting Algebra & Geometry

Unit 6 Systems of Equations & Inequalities

Unit 7 Building Quadratic Functions

Unit 8 Interpreting Quadratic Functions

Unit 9 Modeling Data

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