Quadratic Equations

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

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Concept Map

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Textbook

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Teaching Outlines

Concept #1 - Introduction to quadratic equations

An equation of the form ax^2+bx+c = 0 where ≠ 0 and a, b, c belongs to R.

Learning objectives

converting verbal statement into equations.

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 introduction to quadratic equation

Please use this link: http://www.youtube.com/watch?v=NbmVOVal3qA

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1. Activity No #2 Concept Name - Activity No.

Concept #2 - Types of equations

Learning objectives

1. To distinguish between pure & adfected equations among the given equations.
2. Standard forms of pure & adfected quadratic equations.

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

==Concept #3 What is the solution of a quadratic equation?==the Those values which satisfies the given equation.

Concept #3 What is the solution of a quadratic equation

The roots of the Quadratic Equation which satisfy the equation

Learning objectives

1. x=k is a solution of the quadratic equation if k satisfies the quadratic equation
2. Any quadratic equation has at most two roots.
3. The roots form the solution set of quadratic equation.

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Concept #4Methods of solution

1. Factorisation method
2. Completing the square method
3. Formula method
4. Graphical method.

Learning objectives

1. Solving quadratic equation by factorisation method
2. Solving quadratic equation by completing the square method
3. Deriving formula to find the roots of quadratic equation.
4. Solving quadratic equation by using formula.
5. Solving quadratic equation graphically.

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Concept #5Nature of roots

The roots of a quadratic equation can be real & equal, real & distinct or imaginary. Nature of roots depends on the values of b^-4ac.

Learning objectives

1. To find the discriminant & interpret the nature of the roots of the given quadratic equation.

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Concept #6applications

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 applications - .

Activity - Name of Activity

Activity Keywords

To link back to the concept page Topic Page Link

1. Activity No #2 Concept Name - Activity No.

Ex 9.8 problem 9

1. If P & q are the roots of the equation 2a^-4a+1=0 find the value of (p+q)^+4pq