Rate of Change From Tables in Context
Written by Adi Ackerman, Head Teacher
"Rate of Change From Tables in Context" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.F.B.4. A 7th grader who is already steady on linear equations can use it too, and an older student can use it as a short review.


8th grade math worksheet: find the rate of change with units from 6 tables, from garden temperature after sunset to phone battery. Answer key included. Part of our rate of change linear equations collection. Aligned to Common Core standards.
How do I use this worksheet?
Use the table sheet first, then the two-page graph sheet. The comparison sheet makes a good closing task or quick check.
What students will practice
- Students will divide the change in output by the change in input.
- Students will write each rate of change with its units.
- Students will decide whether each quantity is increasing or decreasing.


Find the Unit Rate as Slope From a Graph


Unit Rate as Slope With Scaled Axes


What Points Mean on a Proportional Graph


Graph Proportional Relationships From Equations


Graph Proportional Relationships From Tables


Graph Proportional Relationships From Word Problems


Compare Two Proportional Relationships


Find Slope From a Graph, Rise Over Run
Curriculum Links
Common Core State Standards
Functions · 8th Grade
Standard: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
View all 8.F.B.4 worksheets →Find this in the curriculum
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FAQ
How do I use this rate of change worksheet?
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Use the table sheet first, then the two-page graph sheet. The comparison sheet makes a good closing task or quick check.
What does this worksheet teach?
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Find the rate of change with units from 6 tables, from garden temperature after sunset to phone battery. The directions on the page read: In the box, divide the change in the bottom row by the change in the top row. Write the rate of change with its units on the line. Circle increasing or decreasing. An answer key is included.
Can I use this rate of change worksheet for homeschool or classroom?
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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.
How do you find the rate of change from a table?
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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.
What is the initial value of a function?
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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.
How do you compare rates of change shown in different forms?
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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.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Linear Equations |
| Standard | 8.F.B.4 |
| Pages | 1 page |
| Difficulty | Medium |
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Find the Unit Rate as Slope From a Graph


Unit Rate as Slope With Scaled Axes


What Points Mean on a Proportional Graph


Graph Proportional Relationships From Equations


Graph Proportional Relationships From Tables


Graph Proportional Relationships From Word Problems


Compare Two Proportional Relationships


Find Slope From a Graph, Rise Over Run