IB Class 10 Mathematics – Group 5, Algebra | 6. Linear Functions by Abraham | Learn Smarter
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6. Linear Functions

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Sections

  • 1

    What Is A Linear Function?

    Linear functions create straight lines in graphs and are foundational to understanding relationships between variables.

    Learning Practice

  • 2

    Understanding The Slope (Gradient)

    This section explains the concept of slope (gradient) in linear functions, detailing how it reflects a line's steepness and direction.

    Learning Practice

  • 3

    Y-Intercept And X-Intercept

    This section introduces the concepts of y-intercept and x-intercept, defining their significance in understanding linear functions.

    Learning Practice

  • 4

    Graphing Linear Functions

    This section introduces linear functions and their graphical representation including slope, y-intercept, and methods for graphing such functions.

    Learning Practice

  • 5

    Forms Of Linear Equations

    This section delves into the various forms of linear equations, including slope-intercept, point-slope, and standard forms, highlighting their importance in understanding linear functions.

    Learning Practice

  • 5.1

    Slope-Intercept Form

    The slope-intercept form of a linear equation is expressed as y = mx + c, which highlights the slope and y-intercept.

    Learning Practice

  • 5.2

    Point-Slope Form

    The point-slope form is a method for expressing linear equations in algebra, particularly useful when a slope and a point on the line are known.

    Learning Practice

  • 5.3

    Standard Form

    This section explores the standard form of linear functions, emphasizing their definition, graphical representation, and various forms of linear equations.

    Learning Practice

  • 6

    Parallel And Perpendicular Lines

    This section examines the characteristics of parallel and perpendicular lines in relation to their slopes.

    Learning Practice

  • 7

    Solving Linear Equations

    This section focuses on solving linear equations to find the values of variables that make the equation true.

    Learning Practice

  • 8

    Applications Of Linear Functions

    Linear functions model real-life relationships in various scenarios, demonstrating their practical applications in fields like economics and science.

    Learning Practice

  • 9

    Word Problems

    This section focuses on constructing and solving word problems using linear functions.

    Learning Practice

  • 10

    Summary

    This section summarizes key concepts of linear functions, including their definitions, characteristics, and applications.

    Learning Practice

  • 11

    Practice Problems

    This section provides practice problems related to linear functions, engaging students to apply what they've learned.

    Learning Practice

References

10 IB algebra ch6.pdf

Class Notes

Memorization

Revision Tests