Constant of Proportionality - Grade 7 Learning path

Constant of Proportionality - Grade 7

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Constant of Proportionality - Grade 7

Learn to find, compare, and interpret the constant of proportionality in Grade 7 mathematics. This path covers proportional relationships represented through equations, tables, graphs, scale factors, and real-world contexts.

Exercises in this learning path

15 exercises
  1. 1

    Constant of Proportionality from Equations (y = kx)

    Practice identifying the constant of proportionality k directly from linear equations in the form y = kx.

    10 minutes

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  2. 2

    Constant of Proportionality from Graphs with Integer Points

    Determine the constant of proportionality by analyzing graphs that feature clear integer coordinate points.

    10 minutes

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  3. 3

    Constant of Proportionality with Fractional Equations

    Find the constant of proportionality in proportional equations that include fractional values.

    10 minutes

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  4. 4

    Determining k from Coordinates on Graphs

    Calculate the constant of proportionality k using specific given coordinate points on a graph.

    10 minutes

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  5. 5

    Comparing Constants of Proportionality

    Compare different constants of proportionality presented across equations, tables, or graphs to identify larger or smaller values.

    10 minutes

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  6. 6

    Constant of Proportionality in Word Problem Equations

    Extract and determine the constant of proportionality from real-world scenarios and written word problems.

    10 minutes

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  7. 7

    Constant of Proportionality in Decimal Equations

    Identify the constant of proportionality in equations containing decimal numbers.

    10 minutes

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  8. 8

    Unit Rate and k in Real-World Graphs

    Interpret real-world graphs to connect the unit rate directly to the constant of proportionality k.

    10 minutes

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  9. 9

    Finding k from (x, y) Values

    Calculate the constant of proportionality k using given pairs of x and y values.

    10 minutes

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  10. 10

    Constant of Proportionality from Table Graphs

    Find the constant of proportionality by analyzing graphical representations of tabular data.

    10 minutes

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  11. 11

    Constant of Proportionality with Simplified Equations

    Work with simplified equations to determine the value of the constant of proportionality.

    10 minutes

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  12. 12

    Interpreting Point (1, k) on Graphs

    Understand and explain the significance of the point (1, k) on a proportional graph.

    10 minutes

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  13. 13

    Slope as Constant of Proportionality

    Explore how the slope of a line relates to and represents the constant of proportionality.

    10 minutes

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  14. 14

    Constant of Proportionality in Scale Factor Equations

    Identify and apply the constant of proportionality within equations involving scale factors.

    10 minutes

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  15. 15

    Comprehensive Review of Constant of Proportionality

    Review all key concepts related to finding, comparing, and interpreting the constant of proportionality across various representations.

    10 minutes

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