IB Class 10 Mathematics – Group 5, Calculus | 2. Rates of Change by Abraham | Learn Smarter
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2. Rates of Change

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Sections

  • 1

    Rates Of Change

    This section introduces the concept of rates of change in calculus, focusing on average and instantaneous rates, and their applications.

    Learning Practice

  • 1.1

    Introduction

    This section introduces the concept of rates of change in mathematics, highlighting average and instantaneous rates as foundational calculus concepts.

    Learning Practice

  • 1.2

    Key Concepts Covered

    This section introduces the foundational concepts of rates of change in calculus, encompassing average and instantaneous rates, their graphical interpretations, and practical applications.

    Learning Practice

  • 1.3

    Average Rate Of Change (Aroc)

    The Average Rate of Change (AROC) quantifies how a function's value changes over a specific interval, serving as a foundational concept in calculus.

    Learning Practice

  • 1.3.1

    Definition

    This section introduces the concepts of average and instantaneous rates of change within calculus, essential for understanding various real-world phenomena.

    Learning Practice

  • 1.3.2

    Example

    Learning

  • 1.4

    Instantaneous Rate Of Change (Iroc)

    This section introduces the concept of the Instantaneous Rate of Change, describing how it measures the rate of a function's change at a specific point using derivatives.

    Learning Practice

  • 1.4.1

    Definition

    This section defines key concepts of average and instantaneous rates of change in mathematics, particularly in calculus.

    Learning Practice

  • 1.4.2

    Example

    This section explores the rates of change in functions, distinguishing between average and instantaneous rates.

    Learning Practice

  • 1.5

    Graphical Interpretation

    This section discusses the graphical representation of rates of change, focusing on the average and instantaneous rates of change.

    Learning Practice

  • 1.6

    Secant Lines And Tangent Lines

    This section introduces secant and tangent lines, emphasizing their roles in representing average and instantaneous rates of change in a function.

    Learning Practice

  • 1.7

    Applications Of Rates Of Change

    This section highlights the diverse applications of rates of change across various fields, emphasizing their practical significance in understanding real-world phenomena.

    Learning Practice

  • 1.8

    Worked Examples

    This section presents worked examples that illustrate average and instantaneous rates of change.

    Learning Practice

  • 1.9

    Summary

    This section covers the concept of rates of change in calculus, focusing on average and instantaneous rates, their graphical interpretations, and real-world applications.

    Learning Practice

  • 1.10

    Practice Exercises (For Students)

    This section provides practice exercises to help students apply the concepts of average and instantaneous rates of change.

    Learning Practice

References

10 IB calculus ch2.pdf

Class Notes

Memorization

Revision Tests