Ratios, proportions, and algebraic thinking for sixth grade students.
When two quantities increase or decrease at the same rate, they have a proportional relationship. This means if one doubles, so does the other!
Check if the ratio stays the same as the numbers get bigger or smaller.
Tables can help you see how numbers change together. On a graph, proportional relationships make a straight line through the origin (0,0).
If y is proportional to x, you can write:
\[ y = kx \]
where k is the constant of proportionality.
Proportional relationships help with things like recipes, maps, and unit conversions.
\[y = kx\]
If a car travels at a constant speed, the distance and time are proportional.
If you earn $8 per hour, your total money earned is proportional to the hours you work.
A proportional relationship means two things always change at the same rate.