Quadratics
Review: Function Notation
Explanation:
Khan video: Equations vs. functions
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: Evaluating discrete functions
Khan video: Worked example: evaluating expressions with function notation (honors)
Khan video: Worked example: matching an input to a function's output (graph)
Khan video: Worked example: two inputs with the same 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
2.1 Characteristics of Quadratic Functions given a Graph
Explanation:
Notes | 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: Algebra Y.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
Graphing by tables:
IXL: Algebra Y.3 Complete a function table: quadratic functions (LFV)
Graphing Quadratic Functions by Plotting Points: worksheet
2.2 Quadratics in Factored Form
Explanation:
Notes | 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: Algebra Z. 2 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)
2.3 Finding the x-Intercepts in Vertex Form; solving quadratic equations with inverse operations
Explanation:
Notes | 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: Algebra 1 Z.1 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)
2.4 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)
2.5 Quadratics Functions in Vertex Form: Dilation
Explanation:
Notes | 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: Scale & reflect parabolas
Khan exercise: Graph quadratics: vertex form
Khan exercise: Warm-up: graphing quadratics in vertex form
Khan exercise: Quadratic word problems (vertex form)
IXL: Algebra 1 Y.4 Transformations of quadratic functions (6YS)
IXL: Algebra 1 Y. 5 Graph quadratic functions in vertex form (C7T)
IXL: Algebra 1 Y.11 Write a quadratic function from its vertex and another point (YGV)
2.6 Completing the square: converting quadratics functions in Standard form to vertex form; solve quadratic equations by completing the square
Explanation:
Notes | 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 ≠ 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)
2.7 Standard form and the Quadratic Formula
Explanation:
Notes | 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: Algebra 1 Z.6 Solve a quadratic equation using the quadratic formula (XCF)
Khan exercise: Graph quadratics in standard form
Khan exercise: Quadratic word problems (standard form)
2.8 Using the Discriminant
Explanation:
Notes | 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
2.9 Features and forms (main feature and converting forms)
Explanation:
Notes | Annotated | Videos: Safeshare.tv | Youtube
Khan article: Graphing quadratics review
Khan video: Forms & features of quadratic functions
Khan video: Worked examples: Forms & features of quadratic functions
Khan video: Finding features of quadratic functions
Khan video: Comparing features of quadratic functions
Khan video: Solving quadratics by factoring
Khan article: Solving quadratics by factoring
Khan video: Solving quadratics by factoring: leading coefficient ≠ 1
Khan article: Solving quadratics by factoring review
Practice Problems:
Khan exercise: Features of quadratic functions: strategy (easiest characteristic in any form)
IXL: BB.15 Match quadratic functions and graphs (AU8)
Khan exercise: Quadratics by factoring (intro) (all integer answers)
Khan exercise: Quadratics by factoring (all integer answers)
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)
Khan exercise: Compare quadratic functions
Review
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 video: Strategy in solving quadratic equations
Khan exercise: Strategy in solving quadratics
IXL: BB.2 Characteristics of quadratic functions: equations (YJZ)
Desmos activity: Match My Parabola (teacher use)
Desmos activity: Build a Bigger Field (teacher use)
Desmos Activity: The Rocket Show