Year 3 - Mathematics ECLPE Y3

Topic outline

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  • Y3 Mathematics ECLPE SB File

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  UNIT 1: POLYNOMIAL, RATIONAL AND IRRATIONAL FUNCTIONS

  • 1.0. Introductory activity Page

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  • 1.1. Types of functions Page

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  • 1.2. Injective, surjective and bijective functions Page

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  • 1.3. Domain and range of a numerical function Page

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  • 1.4. Composition and inverse of numerical functions Page

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  • 1.5. Even functions and odd functions Page

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  • 1.6. Introduction to limits of a function Page

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  • 1.7. End of unit assessment Page

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  • End unit assessment quizzes

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  UNIT 2: DIFFERENTIATION

  • 2.0. Introductory activity Page

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  • 2.1. Concepts of derivative of a function Page

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  • 2.2. Rules of differentiation Page

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  • 2.3. Differentiation of trigonometric functions Page

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  • 2.4. Derivative and the variation of a function Page

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  • 2.5. Derivative and concavity of a function Page

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  • 2.6. Derivative and the table of variation for a function Page

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  • 2.7. Derivative and limit with indeterminate cases: Hospital’s rule Page

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  • 2.8. Derivative, tangent line equation and normal line equation Page

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  • 2.9. Applications of differentiation in economics and finance Page

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  • 2.10. Applications of differentiation: rate of change problems, optimization problems Page

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  • 2.11. End of unit assessment Page

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  • End unit assessment quizzes

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  UNIT 3: MATRICES AND SYSTEM OF LINER EQUATIONS

  • 3.0. Introductory activity Page

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  • 3.1. Definition, size and types of matrices Page

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  • 3.2. Operations on matrices Page

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  • 3.3. Transpose of matrix Page

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  • 3.4. Determinants and inverse of matrices of order two and three Page

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  • 3.5. Applications of matrices and determinants Page

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  • 3.6. End of unit assessment Page

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  • End unit assessment quizzes

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  UNIT 4: LOGARITHM AND EXPONENTIAL FUNCTION

  • 4.0. Introductory activity Page

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  • 4.1. Logarithmic functions Page

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  • 4.2. Exponential function Page

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  • 4.3. Modeling and solving problems involving logarithms and exponential functions Page

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  • 4.4. End unit assessment Page

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  • End unit assessment quizzes

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