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MDTP Modules

  • LINR
    • Module 1
      • Lesson 1: Linear Patterns and Multiple Representations
      • Lesson 2: Graphs and Equations of Linear Situations
      • Lesson 3: Graphs in Slope-Intercept Form
      • Lesson 4: Writing the Equation of a Line
    • Module 2
      • Lesson 1: Solving Equations Including Absolute Value
      • Lesson 2: Solving Equations and Inequalities (Including Absolute Value)
      • Lesson 3: Linear Inequalities in Two Variables
    • Module 3
      • Lesson 1: Analyzing, writing, and solving linear systems
      • Lesson 2: Writing, solving, interpreting linear systems of inequalities
      • Lesson 3: Understanding and Using Absolute Value
      • Lesson 4: Solving Linear Systems with Geometric Applications
  • RATL
    • Module 1
      • Lesson 1: Operations on Fractions
      • Lesson 2: Using Percentages
      • Lesson 3: Multiplicative Thinking
      • Lesson 4: Proportional Reasoning
    • Module 2
      • Lesson 1: Introduction to Rational Expressions
      • Lesson 2: Adding and Subtracting Rational Expressions
      • Lesson 3: Multiplying and Dividing Rational Numbers
      • Lesson 4: Solving rational equations and writing rational equations from contextual situations
    • Module 3
      • Lesson 1: Evaluating Rational Expressions
      • Lesson 2: Solving Rational Inequalities
      • Lesson 3: Zeros and Asymptotes of Rational Functions
      • Lesson 4: Graphing Rational Functions
  • POLQ
    • Module 1
      • Lesson 1: Multiplication of Polynomials
      • Lesson 2: Division of Polynomials
      • Lesson 3: Factoring Polynomials
      • Lesson 4: Summative Polynomial Performance Task
    • Module 2
      • Lesson 1: Special Factoring Patterns
      • Lesson 2: Completing the square to solve quadratic equations
      • Lesson 3: Solving Radical Equations
      • Lesson 4: Deriving the quadratic formula
    • Module 3
      • Lesson 1: Introduction to Graphing Polynomials
      • Lesson 2: Roots of Polynomials and Polynomial Theorems
      • Lesson 3: Polynomials features: multiplicity, degree, end behavior
      • Lesson 4: Applications of Polynomials
  • GEOM
    • Module 1
      • Lesson 1: Developing formulas for area of multiple shapes
      • Lesson 2: Extending and Applying Area and Perimeter
      • Lesson 3: Developing Formulas for volume for multiple shapes
      • Lesson 4: Application of Area vs. Volume
    • Module 2
      • Lesson 1: Classifying Triangles
      • Lesson 2: Introduction to Trigonometry
      • Lesson 3: Extending Trigonometry
      • Lesson 4: Properties and Characteristics of Triangles
    • Module 3
      • Lesson 1: Discovering Congruence
      • Lesson 2: Applying Congruence
      • Lesson 3: Developing Similarity
      • Lesson 4: Applying Similarity
  • FNGR
    • Module 1
      • Lesson 1: Identifying Exponential Functions
      • Lesson 2: Identifying Exponential Growth and Decay
      • Lesson 3: Transformations of Parent Functions, focus on Exponential
      • Lesson 4: Transformations, Vertical and Horizontal, of Parent functions
    • Module 2
      • Lesson 1: Identify Functional Relationships
      • Lesson 2: Identify Horizontal and Vertical Shifts of Quadratics
      • Lesson 3: Build Functions
      • Lesson 4: Recognize Algebraic Representation of Quadratics and Transformations
      • Lesson 5: Inverse Functions

POLQ 2 | Lesson 4 | Watch (Steps to Derive the Quadratic Formula)

Steps to Derive the Quadratic Formula

Check your answer with this video solution on Khan Academy.  After you compare, return to this page by using the back arrow.

Using the quadratic formula: number of solutions (video) | Khan Academy

Verify that you have the correct order of steps. Make sure you have them written down.

Go to Making Connections (Justifying the Steps)

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  • LINR
    • Module 1
      • Lesson 1: Linear Patterns and Multiple Representations
      • Lesson 2: Graphs and Equations of Linear Situations
      • Lesson 3: Graphs in Slope-Intercept Form
      • Lesson 4: Writing the Equation of a Line
    • Module 2
      • Lesson 1: Solving Equations Including Absolute Value
      • Lesson 2: Solving Equations and Inequalities (Including Absolute Value)
      • Lesson 3: Linear Inequalities in Two Variables
    • Module 3
      • Lesson 1: Analyzing, writing, and solving linear systems
      • Lesson 2: Writing, solving, interpreting linear systems of inequalities
      • Lesson 3: Understanding and Using Absolute Value
      • Lesson 4: Solving Linear Systems with Geometric Applications
  • RATL
    • Module 1
      • Lesson 1: Operations on Fractions
      • Lesson 2: Using Percentages
      • Lesson 3: Multiplicative Thinking
      • Lesson 4: Proportional Reasoning
    • Module 2
      • Lesson 1: Introduction to Rational Expressions
      • Lesson 2: Adding and Subtracting Rational Expressions
      • Lesson 3: Multiplying and Dividing Rational Numbers
      • Lesson 4: Solving rational equations and writing rational equations from contextual situations
    • Module 3
      • Lesson 1: Evaluating Rational Expressions
      • Lesson 2: Solving Rational Inequalities
      • Lesson 3: Zeros and Asymptotes of Rational Functions
      • Lesson 4: Graphing Rational Functions
  • POLQ
    • Module 1
      • Lesson 1: Multiplication of Polynomials
      • Lesson 2: Division of Polynomials
      • Lesson 3: Factoring Polynomials
      • Lesson 4: Summative Polynomial Performance Task
    • Module 2
      • Lesson 1: Special Factoring Patterns
      • Lesson 2: Completing the square to solve quadratic equations
      • Lesson 3: Solving Radical Equations
      • Lesson 4: Deriving the quadratic formula
    • Module 3
      • Lesson 1: Introduction to Graphing Polynomials
      • Lesson 2: Roots of Polynomials and Polynomial Theorems
      • Lesson 3: Polynomials features: multiplicity, degree, end behavior
      • Lesson 4: Applications of Polynomials
  • GEOM
    • Module 1
      • Lesson 1: Developing formulas for area of multiple shapes
      • Lesson 2: Extending and Applying Area and Perimeter
      • Lesson 3: Developing Formulas for volume for multiple shapes
      • Lesson 4: Application of Area vs. Volume
    • Module 2
      • Lesson 1: Classifying Triangles
      • Lesson 2: Introduction to Trigonometry
      • Lesson 3: Extending Trigonometry
      • Lesson 4: Properties and Characteristics of Triangles
    • Module 3
      • Lesson 1: Discovering Congruence
      • Lesson 2: Applying Congruence
      • Lesson 3: Developing Similarity
      • Lesson 4: Applying Similarity
  • FNGR
    • Module 1
      • Lesson 1: Identifying Exponential Functions
      • Lesson 2: Identifying Exponential Growth and Decay
      • Lesson 3: Transformations of Parent Functions, focus on Exponential
      • Lesson 4: Transformations, Vertical and Horizontal, of Parent functions
    • Module 2
      • Lesson 1: Identify Functional Relationships
      • Lesson 2: Identify Horizontal and Vertical Shifts of Quadratics
      • Lesson 3: Build Functions
      • Lesson 4: Recognize Algebraic Representation of Quadratics and Transformations
      • Lesson 5: Inverse Functions
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