The rate r of a proportional relationship appears in five distinct mathematical manifestations¶

Claim · All claims
Evidence · 1 study · theoretical r2 · q2
Currency · newest study 2022 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? The paper identifies the same number r as the unit-scaled measure, the constant of proportionality in y = rx, the row-wise multiplier in a table, the slope of the line through the origin, and the coordinates of the point (1, r). → James Tanton 2022

Evidence¶

James Tanton 2022¶

James Tanton, Ted Coe, April Ström, Kyle Pearce. (2022). Proportional relationships decluttered—at last! White paper. https://www.nwea.org

q2 · i? · theoretical · r2

A commentary section in the paper takes stock of 'the various manifestations of this one number,' listing five roles of r across unit scaling, the equation, table rows, the slope of the plotted line through the origin, and the point (1, r) on the plot.

"i) When the measure of one quantity is scaled to unit value, the measure of the other quantity is r. ii) r is the constant of proportionality of the algebraic equation that arises: y = rx."

Discussion¶

Related Claims¶

• Data from any proportional relationship satisfies an equation of the form y = rx, and conversely — related