QuadraticAlgebra-MrDownes

Ronan Downes, 11. 9. 2020

https://www.geogebra.org/m/AaRCesvg#material/HkxMVgww

Obsah

  1. w11
    1. Factorization - Visual illustration of divisor pairs
    2. Transforming Quadratic Graphs 2
    3. Expansion & Factorization 展開與因式分解
    4. General Form of Quadratic Functions(2) 二次函數的圖像：一般式(2)
    5. Transforming Quadratic Graphs 1
    6. Quadratic function-graph 1
    7. Quadratics - factorise
    8. Quiz on Factorization of Quadratic Polynomials (Cross Method) 因式分解一元二次多項式(十字相乘法)：測驗
    9. Quiz on Signs of Coefficients of Quadratic Functions 二次函數係數的正負號：測驗
    10. Copy of Factorization of Quadratic Polynomials (Table Method) 因式分解一元二次多項式（表格法）
    11. Quadratic Equations-factorising
    12. Domain and Range of a function
    13. Exploring Changes in Coefficients for Polynomial Graphs
    14. Quadratic function-graph 2
    15. Vertical Motion
    16. Quadratic Graphs - Factored Form
    17. Quadratics Quiz 2: Plot key points
    18. Quadratic Functions Practice Quiz
    19. Factor to find roots
    20. Parabola Reflections
    21. parabola reflections
    22. Basketball 3 point
    23. Dynagraph 6
    24. The Quadratic Formula as the Axis of Symmetry & Distance
    25. Quiz Graph Transformations
    26. Parabola tangents from external point
    27. Convex and concave curvature
    28. Tangent envelope and derived function
    29. PARÁBOLAS (PUNTOS DE CORTE CON LOS EJES)
  2. Graphing
    1. Standard Form
    2. Quadratic Function Calculator 二次函數計算器
    3. Standard Form of Parabolas
    4. Different Forms of Quadratic Functions 二次函數的不同形式
    5. Quiz on Features of Quadratic Graphs 二次函數圖像的特徵：測驗
    6. Quiz on Solving Quadratic Inequalities 解二次不等式：測驗 (v2018)
    7. Quadratic: Compare Standard to Vertex Forms
    8. Quiz on Vertex Form of Quadratic Functions 二次函數的頂點式：測驗
    9. Vertex Form of Quadratic Functions 二次函數的圖像：頂點式
    10. Basic Quadratic Function (I)
    11. Graphical Solution of a Quadratic Equation
    12. Coefficients of a general quadratic function
    13. Quadratic Function Transformation
    14. Quadratic equation solution by graph
    15. Graph of some common functions
    16. Flytta en andragradsfunktion
    17. Parabola Family y = a * X^2
    18. 2nd degree equation: graphic solution
    19. General Quadratic Equation
    20. Factoring Quadratics with a Coefficient of One
    21. Shape 3
    22. Shape 1
    23. Shape 2
    24. Funktionenquiz
    25. noris_106
    26. The anatomy of a quadratic function
    27. Colourful quadratic function
    28. Multiplying Non-Zero Integers
    29. noris_108
    30. Verschieben des Graphen in y-Richtung
    31. Parabola (Focus / Directrix)
    32. Quadratic in Vertex form with Key Features
    33. Maximizing Area
    34. Transformations on f
    35. Quiz on Factorization of Quadratic Polynomials (Table Method) 因式分解一元二次多項式(表格法)：測驗
    36. Parabola with table of values
    37. Dilation: y=ax^2
    38. Compare parabola by changing x-coefficient and constant
    39. Comparing parabola
    40. Quadratic Graphs - Standard Form
    41. Introduction to Quadratic Function
    42. Zoom in 2
  3. Expanding Brackets
    1. Distributive Law 2 (分配率 2)
    2. Distributivity
    3. Area Model for Distributive Laws 分配律的面積模型
    4. Expansion Using Multiplication Frame, Algebra.
    5. Quadratics - expand brackets
    6. Multiplying Binomials
    7. Expansion of Linear Factors Using Multiplication Frame
    8. Multiplying Binomials
    9. Expand binomial simple
    10. Multiply Binomials
    11. Multiplying Binomials
    12. Exploring Binomial Expressions: Area Model
    13. Expressing Area with an Unknown
    14. Connecting Area Models
  4. Factorise x^2+bx+c
    1. Factorization of Quadratic Expressions Aided by Multiplication Frame
    2. Factorising Algebraic Expressions
    3. Copy of Factor Fully (trinomial)
    4. Factoring Quadratic Expressions 3
    5. Factoring Practice
    6. Zero Product Property (Factoring Quadratics)
    7. Multiplication Frame, Algebraic Factorisation.
    8. ZeroProductEx1
    9. Self Assessment: Solve Quadratic Equations by Factorization
    10. Factors and Zeros
    11. Factoring Quadratics
  5. Substitution
  6. Vertex
  7. Your Special
    1. Factorization involving Special Algebraic Identities (Perfect Squares and Difference of Squares)
    2. Special Product: Wholesquare of (a +b)
    3. Sum of Squares & Perfect Square 平方和與完全平方
    4. (a + b +c )²=a²+b²+c²+2ab+2ac+2bc
    5. Proof without words : difference a^3 - b^3
    6. (a+b)²=a²+2ab+b²
    7. Multiplying a Difference of Two Squares and Perfect Squares
  8. Factorising-General trinomials
    1. Solving Quadratic Equations by Factoring Practice
    2. 01.2A Factoring Polynomials
    3. Solving a Quadratic by Factoring
    4. Solving Quadratics by Factoring
    5. Factoring Trinomials (Leading Coefficient 1)
    6. Prime Factors - step by step
  9. Transform
    1. Transformation of Quadratic Functions 2
    2. Transformation of Quadratic Functions 1
    3. Transformations on a Quadratic
    4. Transformations on a Quadratic
  10. Quizzes
    1. Quadratic Quiz
    2. my first quiz
    3. Solving a Quadratic Equation by Factoring - Interactive
  11. Completing the square
    1. Completing the Square
    2. Completing the Square (2)
    3. Completing the Square to Solve Quadratic Equations
    4. Completing the Square ,Algebraic Factorisation.
    5. 配方法 Completing the Square
    6. Completing the Square (3)
  12. Formula
    1. Quadratic Equations - Formula
    2. Solving Quadratic Equation
  13. Applications
    1. The Archer and the Discriminant
    2. Construct a box from a square piece of cardboard.
    3. Perimeter of a Rectangle: Solving Linear Equations
    4. Length of side puzzle
    5. Real Life Example of Quadratics
    6. How Many Quadratics?
    7. Life Examples of Quadratic Functions 生活中的二次函數
    8. Nature of Quadratic Equation
  14. Enrich
    1. Function Matching
    2. Parabola as a Locus
    3. Demo: rational coefficients for a function
    4. Evolute of a Parabola
    5. Demo: add new points to a list automatically
  15. Review priors
    1. Polynomial Definitions
    2. Basic Terms in Algebra
    3. Terms about Polynomials 多項式的用語
    4. Equations & Identities 方程與恆等式
    5. Multiplication of Polynomials 1(多項式的乘法 1)
    6. Multiplication of polynomials 2 (多項式的乘法 2)
    7. Addition and Subtraction of Polynomials 2 (多項式的加減法2)
    8. Multiplication of Polynomials(多項式的乘法)
    9. Quiz on Simplifying Monomials 化簡單項式：測驗
    10. Distributive Property Grid/Matrix Multiplication Model (2a)
    11. Solve linear equation in one variable.
    12. Expansion Of Algebraic Expressions (in brackets) Animated Rectangle
    13. Distributive Property with Set Model
  16. Intuition builders
    1. Value of Polynomial(多項式的值)

1.

w11

  • 1. Factorization - Visual illustration of divisor pairs
  • 2. Transforming Quadratic Graphs 2
  • 3. Expansion & Factorization 展開與因式分解
  • 4. General Form of Quadratic Functions(2) 二次函數的圖像：一般式(2)
  • 5. Transforming Quadratic Graphs 1
  • 6. Quadratic function-graph 1
  • 7. Quadratics - factorise
  • 8. Quiz on Factorization of Quadratic Polynomials (Cross Method) 因式分解一元二次多項式(十字相乘法)：測驗
  • 9. Quiz on Signs of Coefficients of Quadratic Functions 二次函數係數的正負號：測驗
  • 10. Copy of Factorization of Quadratic Polynomials (Table Method) 因式分解一元二次多項式（表格法）
  • 11. Quadratic Equations-factorising
  • 12. Domain and Range of a function
  • 13. Exploring Changes in Coefficients for Polynomial Graphs
  • 14. Quadratic function-graph 2
  • 15. Vertical Motion
  • 16. Quadratic Graphs - Factored Form
  • 17. Quadratics Quiz 2: Plot key points
  • 18. Quadratic Functions Practice Quiz
  • 19. Factor to find roots
  • 20. Parabola Reflections
  • 21. parabola reflections
  • 22. Basketball 3 point
  • 23. Dynagraph 6
  • 24. The Quadratic Formula as the Axis of Symmetry & Distance
  • 25. Quiz Graph Transformations
  • 26. Parabola tangents from external point
  • 27. Convex and concave curvature
  • 28. Tangent envelope and derived function
  • 29. PARÁBOLAS (PUNTOS DE CORTE CON LOS EJES)

1.1.

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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1.14.

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1.15.

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1.16.

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1.17.

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1.18.

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1.19.

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1.20.

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1.21.

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1.22.

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1.23.

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1.24.

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1.25.

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1.26.

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1.27.

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1.28.

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1.29.

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2.

Graphing

  • 1. Standard Form
  • 2. Quadratic Function Calculator 二次函數計算器
  • 3. Standard Form of Parabolas
  • 4. Different Forms of Quadratic Functions 二次函數的不同形式
  • 5. Quiz on Features of Quadratic Graphs 二次函數圖像的特徵：測驗
  • 6. Quiz on Solving Quadratic Inequalities 解二次不等式：測驗 (v2018)
  • 7. Quadratic: Compare Standard to Vertex Forms
  • 8. Quiz on Vertex Form of Quadratic Functions 二次函數的頂點式：測驗
  • 9. Vertex Form of Quadratic Functions 二次函數的圖像：頂點式
  • 10. Basic Quadratic Function (I)
  • 11. Graphical Solution of a Quadratic Equation
  • 12. Coefficients of a general quadratic function
  • 13. Quadratic Function Transformation
  • 14. Quadratic equation solution by graph
  • 15. Graph of some common functions
  • 16. Flytta en andragradsfunktion
  • 17. Parabola Family y = a * X^2
  • 18. 2nd degree equation: graphic solution
  • 19. General Quadratic Equation
  • 20. Factoring Quadratics with a Coefficient of One
  • 21. Shape 3
  • 22. Shape 1
  • 23. Shape 2
  • 24. Funktionenquiz
  • 25. noris_106
  • 26. The anatomy of a quadratic function
  • 27. Colourful quadratic function
  • 28. Multiplying Non-Zero Integers
  • 29. noris_108
  • 30. Verschieben des Graphen in y-Richtung
  • 31. Parabola (Focus / Directrix)
  • 32. Quadratic in Vertex form with Key Features
  • 33. Maximizing Area
  • 34. Transformations on f
  • 35. Quiz on Factorization of Quadratic Polynomials (Table Method) 因式分解一元二次多項式(表格法)：測驗
  • 36. Parabola with table of values
  • 37. Dilation: y=ax^2
  • 38. Compare parabola by changing x-coefficient and constant
  • 39. Comparing parabola
  • 40. Quadratic Graphs - Standard Form
  • 41. Introduction to Quadratic Function
  • 42. Zoom in 2

2.1.

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2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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2.17.

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2.18.

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2.19.

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2.20.

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2.21.

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2.22.

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2.23.

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2.24.

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2.25.

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2.26.

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2.27.

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2.28.

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2.29.

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2.30.

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2.31.

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2.32.

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2.33.

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2.34.

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2.35.

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2.36.

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2.37.

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2.38.

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2.39.

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2.40.

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2.41.

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2.42.

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3.

Expanding Brackets

  • 1. Distributive Law 2 (分配率 2)
  • 2. Distributivity
  • 3. Area Model for Distributive Laws 分配律的面積模型
  • 4. Expansion Using Multiplication Frame, Algebra.
  • 5. Quadratics - expand brackets
  • 6. Multiplying Binomials
  • 7. Expansion of Linear Factors Using Multiplication Frame
  • 8. Multiplying Binomials
  • 9. Expand binomial simple
  • 10. Multiply Binomials
  • 11. Multiplying Binomials
  • 12. Exploring Binomial Expressions: Area Model
  • 13. Expressing Area with an Unknown
  • 14. Connecting Area Models

3.1.

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3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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3.13.

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3.14.

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4.

Factorise x^2+bx+c

  • 1. Factorization of Quadratic Expressions Aided by Multiplication Frame
  • 2. Factorising Algebraic Expressions
  • 3. Copy of Factor Fully (trinomial)
  • 4. Factoring Quadratic Expressions 3
  • 5. Factoring Practice
  • 6. Zero Product Property (Factoring Quadratics)
  • 7. Multiplication Frame, Algebraic Factorisation.
  • 8. ZeroProductEx1
  • 9. Self Assessment: Solve Quadratic Equations by Factorization
  • 10. Factors and Zeros
  • 11. Factoring Quadratics

4.1.

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4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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5.

Substitution


    Tato kapitola zatím neobsahuje žádné materiály.

6.

Vertex


    Tato kapitola zatím neobsahuje žádné materiály.

7.

Your Special

  • 1. Factorization involving Special Algebraic Identities (Perfect Squares and Difference of Squares)
  • 2. Special Product: Wholesquare of (a +b)
  • 3. Sum of Squares & Perfect Square 平方和與完全平方
  • 4. (a + b +c )²=a²+b²+c²+2ab+2ac+2bc
  • 5. Proof without words : difference a^3 - b^3
  • 6. (a+b)²=a²+2ab+b²
  • 7. Multiplying a Difference of Two Squares and Perfect Squares

7.1.

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7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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8.

Factorising-General trinomials

  • 1. Solving Quadratic Equations by Factoring Practice
  • 2. 01.2A Factoring Polynomials
  • 3. Solving a Quadratic by Factoring
  • 4. Solving Quadratics by Factoring
  • 5. Factoring Trinomials (Leading Coefficient 1)
  • 6. Prime Factors - step by step

8.1.

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8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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9.

Transform

  • 1. Transformation of Quadratic Functions 2
  • 2. Transformation of Quadratic Functions 1
  • 3. Transformations on a Quadratic
  • 4. Transformations on a Quadratic

9.1.

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9.2.

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9.3.

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9.4.

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10.

Quizzes

  • 1. Quadratic Quiz
  • 2. my first quiz
  • 3. Solving a Quadratic Equation by Factoring - Interactive

10.1.

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10.2.

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10.3.

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11.

Completing the square

  • 1. Completing the Square
  • 2. Completing the Square (2)
  • 3. Completing the Square to Solve Quadratic Equations
  • 4. Completing the Square ,Algebraic Factorisation.
  • 5. 配方法 Completing the Square
  • 6. Completing the Square (3)

11.1.

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11.2.

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11.3.

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11.4.

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11.5.

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11.6.

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12.

Formula

  • 1. Quadratic Equations - Formula
  • 2. Solving Quadratic Equation

12.1.

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12.2.

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13.

Applications

  • 1. The Archer and the Discriminant
  • 2. Construct a box from a square piece of cardboard.
  • 3. Perimeter of a Rectangle: Solving Linear Equations
  • 4. Length of side puzzle
  • 5. Real Life Example of Quadratics
  • 6. How Many Quadratics?
  • 7. Life Examples of Quadratic Functions 生活中的二次函數
  • 8. Nature of Quadratic Equation

13.1.

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13.2.

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13.3.

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13.4.

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13.5.

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13.6.

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13.7.

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13.8.

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14.

Enrich

  • 1. Function Matching
  • 2. Parabola as a Locus
  • 3. Demo: rational coefficients for a function
  • 4. Evolute of a Parabola
  • 5. Demo: add new points to a list automatically

14.1.

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14.2.

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14.3.

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14.4.

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14.5.

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15.

Review priors

  • 1. Polynomial Definitions
  • 2. Basic Terms in Algebra
  • 3. Terms about Polynomials 多項式的用語
  • 4. Equations & Identities 方程與恆等式
  • 5. Multiplication of Polynomials 1(多項式的乘法 1)
  • 6. Multiplication of polynomials 2 (多項式的乘法 2)
  • 7. Addition and Subtraction of Polynomials 2 (多項式的加減法2)
  • 8. Multiplication of Polynomials(多項式的乘法)
  • 9. Quiz on Simplifying Monomials 化簡單項式：測驗
  • 10. Distributive Property Grid/Matrix Multiplication Model (2a)
  • 11. Solve linear equation in one variable.
  • 12. Expansion Of Algebraic Expressions (in brackets) Animated Rectangle
  • 13. Distributive Property with Set Model

15.1.

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15.2.

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15.3.

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15.4.

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15.5.

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15.6.

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15.7.

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15.8.

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15.9.

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15.10.

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15.11.

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15.12.

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15.13.

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16.

Intuition builders

  • 1. Value of Polynomial(多項式的值)

16.1.

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Informace