Move the \color{orange}{\text{ORANGE_DOT}} to
\color{orange}{fraction(NUMERATOR, DENOMINATOR)} on the number line.
init({
range: [ [LOWER_BOUND - 0.1, UPPER_BOUND + 0.1], [-1, 1] ],
scale: [80*SCALE, 40]
});
// Draw Number Line
style({arrows: ">"});
line( [ LOWER_BOUND, 0 ], [ UPPER_BOUND + 0.25 / SCALE, 0 ] );
style({arrows: ""});
// Draw Number Line Tick marks
for ( var x = LOWER_BOUND; x <= UPPER_BOUND; x += 1 / DENOMINATOR ) {
line( [ x, -0.2 ], [ x, 0.2 ] );
}
// 0 and 1 tick marks
style({ stroke: BLUE, strokeWidth: 3.5 });
line( [ LOWER_BOUND, -0.2], [LOWER_BOUND, 0.2]);
label( [ LOWER_BOUND, -0.53 ], LOWER_BOUND, "center", { color: BLUE });
line( [ UPPER_BOUND, -0.2], [UPPER_BOUND, 0.2]);
label( [ UPPER_BOUND, -0.53 ], UPPER_BOUND, "center", { color: BLUE });
addMouseLayer();
graph.movablePoint = addMovablePoint({ constraints: { constrainY: true }, snapX: 0.25 / DENOMINATOR });
graph.movablePoint.onMove = function( x, y ) {
return [ min( max( LOWER_BOUND, x ), UPPER_BOUND ), y ];
};
Move the orange dot to select your answer.
graph.movablePoint.coord[0]
if ( guess === 0 ) {
return "";
}
return abs( SOLUTION - guess ) < 0.001;
graph.movablePoint.setCoord( [ guess, 0 ] );
Above we've drawn the number line from 0 to 1, divided into equal pieces.
The number line is divided into DENOMINATOR equal pieces, so each piece represents
fraction(1, DENOMINATOR).
style({ stroke: "#6495ED", fill: "#6495ED", strokeWidth: 3.5, arrows: "->" });
line( [ 0, 0 ], [ SOLUTION, 0 ] );
graph.movablePoint.visibleShape.toFront();
The orange dot should be shifted NUMERATOR
segment over, as fraction(NUMERATOR, DENOMINATOR) =
NUMERATOR*fraction(1, DENOMINATOR)
The orange dot should be shifted NUMERATOR
segments over, as fraction(NUMERATOR, DENOMINATOR) =
NUMERATOR*fraction(1, DENOMINATOR)
label( [ SOLUTION, -0.83 ], fraction(NUMERATOR, DENOMINATOR), "center", { color: "#FFA500" });
graph.movablePoint.moveTo( SOLUTION, 0 );
The orange number shows where \color{orange}{fraction(NUMERATOR, DENOMINATOR)} is on the number line.