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### Quadratic Functions

 Review: Function Notation:Explanation:Notes | Annotated NotesKhan video: What is a function? (optional)Khan video: Equations vs. functions: Obtaining a function from an equationKhan video: Worked example: Evaluating functions from equationKhan video: Worked example: matching an input to a function's output (equation)Khan video: Worked example: evaluating functions from graphKhan video: Worked example: matching an input to a function's output (graph)Khan video: Function notation word problem: bank (honors)Khan video: Function notation word problem: beach (honors)Practice problemsDesmos activity: Carnival Functions, Part 2Khan exercise: Evaluate functionsKhan exercise: Function inputs & outputs: equationKhan exercise: Evaluate functions from their graphKhan exercise: Function inputs & outputs: graphKhan exercise: Function notation word problems (honors)Worksheet #1Characteristics of Quadratic FunctionsExplanation:Notes | AnnotatedKhan video: Parabolas introKahn video (graph without transformation): Intro to parabolasPractice ProblemsDesmos Activity: Will It Hit the Hoop? (teacher use only)Khan Exercise: Parabolas intro: (vocab needed: vertex, axis of symmetry is the average of the roots)Khan Exercise: Interpret a quadratic graph (extra credit)Characteristics of Quadratic Functions: worksheet Graphing Quadratic Functions by Plotting Points: worksheet1.1.4a Characteristics of a Quadratic Function in Factored FormExplanation:Khan video: Graphing quadratics in factored formPractice Problems:Khan exercise: Zero product propertyKhan exercise: Warmup: graphing quadratics in factored form (includes finding the vertex)Khan exercise: Graph quadratics in factored form (very similar to the warm-up)Khan exercise: Quadratic word problems (factored form) (advanced)Worksheet #1Worksheet #21.1.4b Characteristics of Quadratic Functions in Vertex FormExplanation:Notes | AnnotatedKhan article: Solving quadratics by taking square roots (skip the last problem: Solve x^2+8x+16=9; stop when you see the comments on all articles)Khan article: Solving simple quadratics reviewKhan video: Solving quadratics by taking square roots examplesKhan video: Solving quadratics by taking square roots: strategyKhan video: Quadratics by taking square roots: with stepsPractice Problems:Khan exercise: Quadratics by taking square roots: with steps (drag the steps over to the next column)Khan exercise: Quadratics by taking square rootsKhan exercise: Quadratics by taking square roots: strategy (error analysis)Khan exercise: Quadratic word problems (vertex form)Desmos Activity: Translation of Simple Quadratics in Vertex (Teacher use only)Worksheet #1Worksheet #24.2 Graph Quadratics Functions in Vertex Form by TranslationExplanation:Khan video: Shifting parabolas Practice Problems:Desmos Activity: Translation of Quadratics (teacher use only)Khan exercise: Shift parabolasWorksheet #1Worksheet #24.3 Graph Quadratics Functions in Vertex Form by DilationExplanation: Khan video: Intro to parabola transformationsKhan video: Scaling & reflecting parabolasPractice Problems:Khan exercise: Graph quadratics: vertex form (model scale factors that have fractions)Khan exercise: Scale & reflect parabolas (model finding the scale factor)Khan exercise: Warmup: graphing quadratics in vertex form (similar to Graph quadratics: vertex form but with more details)Desmos Activity: Marbleslides: Parabolas (teacher use)Worksheet #1Worksheet #24.7 Use the Quadratic Formula to find the x-intercepts of a quadratic function (and zeros of quadratic equations) Explanation:Khan video: The quadratic formulaKhan Video: Solving quadratic equations: complex rootsPractice Problems:Khan Exercise: Solve quadratic equations: complex solutionsWorksheet #14.7 Characteristics of Quadratics in Standard FormExplanation:Notes | AnnotatedKhan article: Understanding the quadratic formulaKhan video: Using the quadratic formulaKhan video: Worked example: quadratic formula (negative coefficients)Khan video: Using the quadratic formula: number of solutionsKhan article: Discriminant reviewPractice Problems:Khan Exercise: Graph quadratics in standard form (includes rational a values)Khan Exercise: Number of solutions of quadratic equationsWorksheet #1Worksheet #2Converting Quadratics to Different Forms:Explanation:Notes | AnnotatedPractice Problems:Features and Forms of Quadratic Functions: the same quadratic function may be written up to three equivalent formats Explanation:Khan Article: Graphing quadratics reviewKhan video: Worked examples: Forms & features of quadratic functionsKhan video: Finding features of quadratic functionsPractice Problems:Notes | AnnotatedKhan exercise: Features of quadratic functions: strategy (easiest characteristic in any form)Khan exercise: Features of quadratic functions (all characteristics in any form)Khan exercise: Warmup: Features of quadratic functions (challenging: some quadratics include decimals)Khan exercise: Graph quadratics in all formsKhan exercise: Compare quadratic functions (Extra credit)Desmos activity: Find the Quadratic Equation in all Forms (given a graph) (teacher use only)Desmos activity: Card Sort: Parabolas (teacher use only)Desmos activity: Quadratics Card Sort (all formats with graph) Worksheet #1Worksheet #2Worksheet #3ReviewSummary NotesWorksheet #1Worksheet #2 Desmos activity: Polygraph: Parabolas (teacher use)Desmos activity: Match My Parabola (teacher use)Desmos activity: Build a Bigger Field (teacher use)Desmos Activity: The Rocket Show