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Strip diagrams for percent

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These strips show two combinations of input and output in simple percent problems:

  • Given a and b, what is b% of a?
  • Given c and a, what percentage of a is c?

These diagrams are essentially the strip diagrams in the Singapore national curriculum used for helping to solve various problems involving proportional reasoning.

To change a, b, or c, type, for example,
a=42
in the Input bar at the bottom of the window.

The first (black) strip represents 100% of the number a.

The second (red) strip allows you to adjust the percentage, b%, of the number a. Change b by typing an equation in the Input bar.

The third (blue) strip allows you to change the number c, and show its percentage of a. Change c by typing an equation in the Input bar.

The last (yellow) strip can be adjusted by dragging its right endpoint. It shows the percentage of the black bar and the corresponding number.

The vertical line can be moved to help visually compare the lengths.

Susan Addington, Created with GeoGebra

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Last updated February 4, 2010

Copyright 2009-10 David Dennis and Susan Addington. All rights reserved.