Learning Math and Coding with Robots

Linkbot Image Mindstorm Image Cursor Image
0x48362412-12-24-36-48y48362412-12-24-36-48
Grid:
Tics Lines:
Width px
Hash Lines:
Width px
Labels:
Font px
Trace Lines:
Robot 1:
Width px
Robot 2:
Width px
Robot 3:
Width px
Robot 4:
Width px
Axes: x-axis y-axis Show Grid
Grid: 24x24 inches 36x36 inches 72x72 inches
96x96 inches 192x192 inches
Quad: 4 quadrants 1 quadrant Hardware
Units: US Customary Metric
Background: Background Image

Robot 1

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (0 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Robot 2

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (12 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Robot 3

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (24 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Robot 4

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (36 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Use Proportions to Animate an Hourglass
Problem Statement:
The pre-placed blocks animate the sand decreasing from the top of the hourglass. If the ratio of the rate of sand decreasing on the top to the rate of sand increasing on the bottom is 4:1, write an expression in terms of i for the variable yBot to increase the sand on the bottom at the correct rate.
/* Code generated by RoboBlockly v2.0 */
#include <chplot.h>
double i;
double y;
double x;
double x2;
double yBot;
double xBot1;
double xBot2;
CPlot plot;

for(i = 1; i <= 18; i += 0.25) {
  plot.strokeColor("black");
  plot.fillColor("#ccffff");
  plot.triangle(0, 0, 18, -34, -18, -34);
  plot.triangle(0, 0, 18, 34, -18, 34);
  plot.noStrokeColor();
  plot.fillColor("#996633");
  y = 18 - i;
  x = (0.592 - 0.05) * y;
  x2 = (-0.592 + 0.05) * y;
  plot.triangle(x, y, 0, 0, x2, y);
  yBot = -34 + i * 0.25;
  xBot1 = (0.592 - 0.05) * yBot;
  xBot2 = (-0.592 + 0.05) * yBot;
  plot.quad(-18, -34, 18, -34, xBot2, yBot, xBot1, yBot);
  delaySeconds(0.03);
}

plot.label(PLOT_AXIS_XY, "");
plot.grid(PLOT_OFF);
plot.tics(PLOT_AXIS_XY, PLOT_OFF);
plot.axis(PLOT_AXIS_XY, PLOT_OFF);
plot.axisRange(PLOT_AXIS_XY, -48, 48);
plot.ticsRange(PLOT_AXIS_XY, 12);
plot.sizeRatio(1);
plot.plotting();
Blocks Save Blocks Load Blocks Show Ch Save Ch Workspace
Problem Statement:
The pre-placed blocks animate the sand decreasing from the top of the hourglass. If the ratio of the rate of sand decreasing on the top to the rate of sand increasing on the bottom is 4:1, write an expression in terms of i for the variable yBot to increase the sand on the bottom at the correct rate.

		
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