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Learning Math and Coding with Robots

Linkbot Image Mindstorm Image Cursor Image
0x126-6-12y126-6-12
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: (4 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: (8 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: (12 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in
Polynomial Expansion
Problem Statement:

The Pascal Triangle on the board shows up to the 3rd row (count starting from 0 ). In a polynomial expansion (x+y)^n: the row number corresponds to n and each number in the row tells you the coefficient of each term found from Polynomial Theorem, in order. Expand this triangle to the 5th row and answer prompt question.

/* Code generated by RoboBlockly v2.0 */
#include <chplot.h>
CPlot plot;

plot.strokeColor("blue");
plot.strokeWidth(3);
plot.text("1", PLOT_TEXT_LEFT, -6, -2);
plot.text("4", PLOT_TEXT_LEFT, -3.5, -2);
plot.text("6", PLOT_TEXT_LEFT, -0.5, -2);
plot.text("4", PLOT_TEXT_LEFT, 2.5, -2);
plot.text("1", PLOT_TEXT_LEFT, 5, -2);
plot.text("1", PLOT_TEXT_LEFT, -7.5, -4);
plot.text("5", PLOT_TEXT_LEFT, -5, -4);
plot.text("10", PLOT_TEXT_LEFT, -2.3, -4);
plot.text("10", PLOT_TEXT_LEFT, 0.7, -4);
plot.text("5", PLOT_TEXT_LEFT, 4, -4);
plot.text("1", PLOT_TEXT_LEFT, 6.5, -4);
delaySeconds(0.03);
printf("(x+y)^4 = x^4 + 4*x^3*y + 6*x^2*y^2 + 4*x*y^3 + y^4");
printf("(x+y)^5 = x^5 + 5*x^4*y + 10*x^3*y^2 + 10*x^2*y^3 + 5*x*y^4 + y^5");

plot.axisRange(PLOT_AXIS_XY, -12, 12);
plot.ticsRange(PLOT_AXIS_XY, 2);
plot.sizeRatio(1);
plot.plotting();
Blocks Save Blocks Load Blocks Show Ch Save Ch Workspace
Problem Statement:

The Pascal Triangle on the board shows up to the 3rd row (count starting from 0 ). In a polynomial expansion (x+y)^n: the row number corresponds to n and each number in the row tells you the coefficient of each term found from Polynomial Theorem, in order. Expand this triangle to the 5th row and answer prompt question.

 

		

			

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