Compare Rates of Change in Two Forms

Use the table sheet first, then the two-page graph sheet. The comparison sheet makes a good closing task or quick check.

Compare rates of change for pairs shown in two forms, from phone plans and printers to snails. The directions on the page read: Find the rate of change of function A and of function B and write each rate on its line. Then circle the function whose rate of change is the greater number. An answer key is included.

Yes, both. We made it for 8th grade linear equations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Divide the change in the output by the change in the input, and write the units, such as degrees per hour. A negative rate means the quantity is decreasing. Rate of Change From Tables in Context has six tables.

It is the y-value when x = 0, where the graph meets the y-axis. On a filling pool graph, it is the water in the pool at the start. Rate of Change From Graphs in Context asks for it on six sample graphs.

Find each rate first. From an equation y = mx + b, the rate is m. From a table or graph, divide the changes, and from a sentence, read the amount per unit. Then compare the numbers.