Create a target design by choosing the correct constant rate. This is a quick “make your own pattern” extension after each district.
Use these supports while you build the city. The same relationship appears in the picture, the table, the graph, and the equation.
“The independent variable is ___ because it is what I choose first.”
“The dependent variable is ___ because it changes when ___ changes.”
“The rule is y = kx because the output is always ___ times the input.”
Table: Does the output grow by the same amount each time?
Graph: Do the points make a straight pattern from the origin?
Equation: Which number tells how many objects are in each group?
Input: the starting value you choose
Output: the result that depends on the input
Constant rate: same number each time
Proportional relationship: output = rate × input
1. Look at one group in the picture.
2. Count how many objects are in each group.
3. Use that number as the rate.
4. Check whether the table, graph, and equation all match.