# Quadratics

** 1.1 Function Notation**

**Explanation:**Khan video: What is a function? (optional)

Khan video: Equations vs. functions: Obtaining a function from an equation

Khan video: Worked example: Evaluating functions from equation

Khan video: Worked example: matching an input to a function's output (equation)

Khan video: Worked example: evaluating functions from graph

Khan 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 problems**Desmos activity: Carnival Functions, Part 2 (teacher use)

Khan exercise: Evaluate functions

Khan exercise: Function inputs & outputs: equation

Khan exercise: Evaluate functions from their graph

Khan exercise: Function inputs & outputs: graph

Khan exercise: Function notation word problems (honors)

IXL: BB.3 Complete a function table: quadratic functions (LFV)

**1.2 Characteristics of Quadratic Functions given a Graph **

**Explanation:**Notes | Answers | Annotated | Videos: SafeShare.tv | Youtube

Khan video: Parabolas intro

Khan video: Interpreting a parabola in context

Khan video: Interpret a quadratic graph

**Practice Problems**Desmos Activity: Will It Hit the Hoop? (teacher use only)

IXL: BB.1 Characteristics of quadratic functions: graphs (HW8)

Khan exercise: Parabolas intro

Khan exercise: Interpret parabolas in context

Khan exercise: Interpret a quadratic graph

Characteristics of Quadratic Functions: worksheet #1

Characteristics of Quadratic Functions: worksheet #2

Graphing Quadratic Functions by Plotting Points: worksheet

**1.3 Quadratics in ****Factored Form**

**Explanation:**Notes | Answers | Annotated | Video: SafeShare.tv | Youtube

Khan video: Zero product property

Khan video: Graphing quadratics in factored form

Khan video: Quadratic word problems (factored form)

**Practice Problems:**IXL: BB.7 Solve a quadratic equation using the zero product property (TNM)

Khan exercise: Zero product property

Khan exercise: Warm-up: 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)

Desmos Activity: Angry Birds Factored Form (teacher use)

**1.4 Finding the ****x****-Intercepts in Vertex Form; solving quadratic equations with inverse operations**

**Explanation:**Notes | Answers | Annotated | Video: safesharetv.com | Youtube

Khan video: Solving quadratics by taking square roots

Khan article: Solving quadratics by taking square roots

Khan video: Solving quadratics by taking square roots examples

Khan video: Solving quadratics by taking square roots: strategy

Khan video: Quadratics by taking square roots: with steps

Khan article: Solving simple quadratics review

**Practice Problems:**IXL: BB.6 Solve a quadratic equation using square roots (ERF)

Khan exercise: Quadratics by taking square roots intro

Khan exercise: Quadratics by taking square roots: with steps (drag the steps over to the next column)

Khan exercise: Quadratics by taking square roots (some irrational solutions)

Khan exercise: Quadratics by taking square roots: strategy (error analysis)

**1.5 Quadratics Functions in Vertex Form: Translations**

**Explanation:**Khan video: Shifting parabolas

**Practice Problems:**Khan exercise: Shift parabolas

Desmos Activity: Translation of Simple Quadratics in Vertex (Teacher use only)

**1.6 Quadratics Functions in Vertex Form: Dilation**

**Explanation:**Notes | Answers | Annotated | Video: ShafeShare.tv | Youtube

Khan video: Intro to parabola transformations

Khan video: Scaling & reflecting parabolas

Khan video: Graphing quadratics: vertex form

Khan video: Quadratic word problems (vertex form)

**Practice Problems:**Desmos Activity: Marbleslides: Parabolas (teacher use)

Desmos Activity: Making Visual Patterns with Quadratics (teacher use)

Khan exercise: Warm-up: graphing quadratics in vertex form

Khan exercise: Graph quadratics: vertex form

Khan exercise: Quadratic word problems (vertex form)

Khan exercise: Scale & reflect parabolas

IXL: BB.4 Transformations of quadratic functions (6YS)

**IXL:****BB.15 Write a quadratic function from its vertex and another point****(YGV)**

**1.7 Converting Quadratics Functions in ****Standard Form**** to Factored Form; solve quadratic equations by factoring**

**Explanation:**Notes | Answers | Annotated | Videos: Safeshare.tv | Youtube

Khan video: Solving quadratics by factoring

Khan article: Solving quadratics by factoring

Khan video: Solving quadratics by factoring: leading coefficient â‰ 1

Khan article: Solving quadratics by factoring review

**Practice Problems:**Khan exercise: Quadratics by factoring (intro) (all integer answers)

Khan exercise: Quadratics by factoring (all integer answers)

**1.8 Completing the square: converting quadratics functions in Standard form to vertex form; solve quadratic equations by completing the square**

**Explanation:**Notes | Answers | Annotated | Video: safeshare.tv | YouTube

Khan video: Completing the square (at 5:34 the second example uses fractions).

Khan article: Solving quadratics by completing the square

Khan video: Worked example: Rewriting expressions by completing the square

Khan video: Worked example: Solving equations by completing the square

Khan video: Solve by completing the square: Integer solutions

Khan video: Solve by completing the square: Non-integer solutions

Khan video: Worked example: completing the square (leading coefficient â‰ 1)

Khan video: Solving quadratics by completing the square: no solution

Khan article: Completing the square review

**Practice Problems:**Khan exercise: Completing the square (intro)

Khan exercise: Solve equations by completing the square

Khan exercise: Completing the square (intermediate)

Khan exercise: Completing the square

IXL: BB.9 Complete the square (RD2)

IXL BB.10 Solve a quadratic equation by completing the square (XCL): (after a score of 43, a>1)

**1.9 Standard form and the Quadratic Formula**

**Explanation:**Notes | Answers | Annotated | Video on Quadratic Formula: SafeShareTV | Youtube

Video on Graphing Quadratics in Standard Form: SafeShareTV | YouTube

Khan video: The quadratic formula

Khan article: Understanding the quadratic formula

Khan video: Worked example: quadratic formula (example 2) - irrational solutions

Khan video: Worked example: quadratic formula (negative coefficients) - rational solutions

Khan video: Using the quadratic formula - rational solutions

Khan article: Quadratic formula review

Khan video: Finding the vertex of a parabola in standard form

Khan video: Graphing quadratics: standard form

Khan video: Interpret quadratic models: Factored form

Khan video: Quadratic word problem: ball

**Practice Problems:**Khan exercise: Quadratic formula (includes solving for 0 first and some roots need to be simplified)

IXL: BB.11 Solve a quadratic equation using the quadratic formula (XCF)

IXL: BB.2 Characteristics of quadratic functions: equations (YJZ)

Khan exercise: Graph quadratics in standard form

Khan exercise: Quadratic word problems (standard form)

**1.10 Using the Discriminant**

**Explanation:**Notes | Answer | Annotated | video: SafeShareTV | YouTube

Khan video: Using the quadratic formula: number of solutions

Khan article: Discriminant review

Khan video: Solving quadratic equations: complex roots

**Practice Problems:**IXL: BB.12 Using the discriminant (SMF)

Khan exercise: Number of solutions of quadratic equations

**1.11 Converting Factored and Vertex Form to Standard Form**

**Explanation:**Khan video: Multiplying binomials: area model (3:54)

Khan video: Multiplying binomials intro (4:46)

Khan article: Warmup: Multiplying binomials

Khan video: Multiplying binomials (5:46)

**Practice Problems:**Khan exercise: Multiply monomials by polynomials (basic): area model

Khan exercise: Multiply binomials: area model

Khan exercise: Multiply binomials intro

Khan exercise: Multiply binomials

**1.12 Review: Features and Forms of Quadratic Functions: the same quadratic function may be written up to three equivalent formats **

**Explanation:**Khan article: Graphing quadratics review

Khan video: Worked examples: Forms & features of quadratic functions

Khan video: Finding features of quadratic functions

Khan video: Comparing features of quadratic functions

**Practice Problems:**Khan exercise: Features of quadratic functions: strategy (easiest characteristic in any form)

**IXL:****BB.14 Match quadratic functions and graphs****(AU8) - 80?****Khan exercise:****Features of quadratic functions****(all characteristics in any form; a calculator is needed)**Khan exercise: Warmup: Features of quadratic functions (challenging: some quadratics include decimals)

**Khan exercise:****Graph quadratics in all forms**Khan exercise: Compare quadratic functions

**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)**

**Review**

Khan video: Strategy in solving quadratic equations

Khan exercise: Strategy in solving quadratics

Desmos activity: Match My Parabola (teacher use)

Desmos activity: Build a Bigger Field (teacher use)

Desmos Activity: The Rocket Show