Course Content
1. Introduction to Quadratics
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1.1 What is Polynomial?
1.2 Definition of Quadratic
1.3 Standard Form & Coefficients
2. Graphical Nature of Quadratic Expression
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2.1 Viaual Identification
2.2 Effect of Coefficient ‘a’
2.3 Finding the Vertex (Turning Point)
2.4 Axis of Symmetry
2.5 Y-Intercept
2.6 X-Intercepts (Zeros/Roots)
2.7 Sketching Quadratic Graphs (By Hand)
2.8 Graph Shape from Vertex Form
2.9 Graph Shape from Factorized Form
2.10 Real-Life Applications of Parabola
3. Forms of Quadratic Expressions
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3.1 General Form
3.2 Factorized Form
3.3 Completed Square Form
3.4 Converting Between Forms
4. Solving Quadratic Equations
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4.1 Introduction to Solving Quadratics
4.2 Solving by Factorizing
4.3 Solving by Completing the Square
4.4 Solving using Quadratic Formula
4.5 Nature of Roots Using the Discriminant
4.6 Special Cases
4.7 Optional: Enrichment Subtopic – Choosing the Best Method
5. Discriminant and Nature of Roots
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5.1 Introduction to The Discriminant
5.2 Nature of Roots Based on Discriminant
5.3 Graphical Interpretation of Discriminant
5.4 Applying Discriminant to Real Problems
5.5 Extension and Deeper Insights (Optional)
6. Quadratic Inequations
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6.1 Understanding Inequations
6.2 Solving Quadratic Inequations Algebraically
6.3 Solving Graphically
6.4 Special Cases and Tricks
6.5 Applications and Word Problems
7. Solving Simultaneous Equations (Linear + Quadratic)
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7.1 Introduction to Simultaneous Equations
7.2 Solving by Substitution
7.3 Graphical Interpretation
7.4 Nature of Solutions (Using Discriminant)
7.5 Special Cases and Challenges
7.6 Applications and Word Problems
8. Equations Reducible to Quadratic Form
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8.1 Introduction to Reducible Equations
8.2 Polynomial Forms
8.3 Rational and Reciprocal Forms
8.4 Trigonometric and Other Functional Forms
8.5 Application and Problem Solving
1.1 Quadratics
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