Rate of Change Over an Interval

Begin with Is the Rate of Change Constant so students see equal changes in y, then move to rates with units. The card sort, maze and review sheets mix tables and graphs for practice before a quiz.

Find the rate between two given x values on 8 graphs whose rates change, such as from x = 1 to x = 4. The directions on the page read: These rates of change are not constant. Use only the points at the two given values of x. Write the rate of change as a whole number or a fraction in simplest form. The page opens with a worked example, and an answer key is included.

Yes, both. We made it for 7th grade algebra, 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.

Choose two columns, find the change in y and the change in x, and divide. For tickets 3 and 7 costing $27 and $63, the rate is 36 ÷ 4 = 9 dollars per ticket. Find the Rate of Change in a Table practices this with units.

In a table, find the rate between each pair of neighboring columns and check that every rate is the same. On a graph, the points must lie on one straight line. Is the Rate of Change Constant and Is the Rate of Change Constant From the Graph practice both.

It means an amount goes down as the other quantity goes up, such as water draining from a cooler over time. Rate of Change Graphs With Negative Rates has students find rates like gallons per minute as negative numbers.

When a rate is not constant, you can still find the rate between two chosen x values by dividing the change in y by the change in x. Rate of Change Over an Interval and Rate of Change Between Two x-Values give the two x values to use.