Proportional Relationships Flashcards

Grade 6 · Math · Flashcards

Key terms and methods for proportional relationships in Grade 6 math.

Flashcards

Proportion: An equation showing two ratios are equal — e.g. 2/3 = 8/12
Constant of proportionality (k): The steady ratio in y=kx; found by dividing y÷x at any point
Cross multiplication: Method to solve proportions: multiply across diagonals, set equal
Proportional relationship: When two quantities always have the same ratio — their graph passes through (0,0)
y = kx: The equation form of a proportional relationship
How to check for proportionality: Divide y÷x for each row — if all results match, it's proportional
Scale factor: The number you multiply both terms of a ratio by to get an equivalent ratio
Unit rate as k: The unit rate in a proportional relationship equals the constant of proportionality k
Non-proportional table sign: y÷x gives different values at different points — no constant ratio
Graph of proportional relationship: Always a straight line that passes through the origin (0,0)
Map scale: A real-world example of proportionality — e.g. 1 inch = 100 miles
Solving a/b = c/d for d: Cross multiply: a×d = b×c, then divide both sides by a