Quadratics

Ben Roth, 8.4.2019

Sisällysluettelo

  1. Algebraic Concepts
    1. Expanding General Binomials
    2. Expanding Differences of Squares
    3. Expanding Perfect Square Binomials
    4. Expanding Perfect Square Binomials (Fractions)
    5. Expanding (1x+a)(1x+b)
    6. Factoring Out The Greatest Common Factor
    7. Factoring Differences of Squares
    8. Factoring Perfect Square Trinomials
    9. Factoring Trinomials (A=1)
    10. Factoring Trinomials (A≠1)
    11. Simplifying Radicals
    12. Completing the Square
    13. Vertex Form Conversion
    14. Quadratic Formula
    15. Simplifying after the Quadratic Formula
    16. Roots of a Quadratic Function Using the Discriminant
    17. Optimization
    18. Evaluating Quadratic Functions
    19. Expanding Binomials using a Multiplication Frame
    20. Expanding using Algebra Tiles
  2. Graphical Concepts
    1. Vertex Form Grapher
    2. Secret of the a-value
    3. Graphing Quadratics Practice (Vertex, Root, Standard) V1
    4. Quadratic Graphing (Vertex, Factored, Standard) V2
    5. Finding the Vertex Algebraically
    6. Standard to Vertex Form Conversion
    7. The Discriminant and its Affects on Roots
    8. Vertical Motion
    9. Transformations of Points
    10. Transformations as Points V2
    11. Transformation of Functions as Points
    12. Transformation of Functions a•f(b(x-c))+d
    13. Tangential Functions
    14. Finding Maximum Distance
    15. Quadratic Inequalities
    16. f(x)<g(x)
    17. Transformations

1.

Algebraic Concepts

  • 1. Expanding General Binomials
  • 2. Expanding Differences of Squares
  • 3. Expanding Perfect Square Binomials
  • 4. Expanding Perfect Square Binomials (Fractions)
  • 5. Expanding (1x+a)(1x+b)
  • 6. Factoring Out The Greatest Common Factor
  • 7. Factoring Differences of Squares
  • 8. Factoring Perfect Square Trinomials
  • 9. Factoring Trinomials (A=1)
  • 10. Factoring Trinomials (A≠1)
  • 11. Simplifying Radicals
  • 12. Completing the Square
  • 13. Vertex Form Conversion
  • 14. Quadratic Formula
  • 15. Simplifying after the Quadratic Formula
  • 16. Roots of a Quadratic Function Using the Discriminant
  • 17. Optimization
  • 18. Evaluating Quadratic Functions
  • 19. Expanding Binomials using a Multiplication Frame
  • 20. Expanding using Algebra Tiles

1.1.

Expanding General Binomials

– Ben Roth

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2.

Graphical Concepts

  • 1. Vertex Form Grapher
  • 2. Secret of the a-value
  • 3. Graphing Quadratics Practice (Vertex, Root, Standard) V1
  • 4. Quadratic Graphing (Vertex, Factored, Standard) V2
  • 5. Finding the Vertex Algebraically
  • 6. Standard to Vertex Form Conversion
  • 7. The Discriminant and its Affects on Roots
  • 8. Vertical Motion
  • 9. Transformations of Points
  • 10. Transformations as Points V2
  • 11. Transformation of Functions as Points
  • 12. Transformation of Functions a•f(b(x-c))+d
  • 13. Tangential Functions
  • 14. Finding Maximum Distance
  • 15. Quadratic Inequalities
  • 16. f(x)<g(x)
  • 17. Transformations

2.1.

Vertex Form Grapher

– Ben Roth

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