Functions Stations Activity - Define, Compare, Rates, & Initial Value

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Make Sense of Math
Grade Levels
8th - 9th, Homeschool
Formats Included
  • PDF
10 pages
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Make Sense of Math

What educators are saying

Have used this a lot, my students are struggling with functions. Needed the extra resources to go along with my module work. Thank you!!!
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Looking for function activities to supplement your curriculum? Dive into functions with these math stations. Students will compare and define functions, as well as initial values and rates of linear functions. Students will justify their reasoning through writing, and develop a deep understanding of functions after completing these math stations.

The following math stations are included:

  • Comparing Functions: Students will compare functions in different forms (tables, graphs, equations, and written situations) to determine which one has a faster rate.
  • Defining Functions: Students will define functions and analyze tables and graphs to determine which ones are functions. They will also justify their reasoning.
  • Rates and Initial Value: Students will determine the initial value and rate of functions in different forms (tables, graphs, equations, two points, and written situations.)
  • Linear vs. Non-Linear Functions: Given equations, students will determine if the equations represents a function. They will justify their reasoning.

Each station will take about 15 – 20 minutes to complete.

Read what educators are saying:

"Good review stations. Allowed me to assign particular stations based on kids needs!"

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Make Sense of Math

Total Pages
10 pages
Answer Key
Teaching Duration
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to see state-specific standards (only available in the US).
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Interpret the equation 𝘺 = 𝘮𝘹 + 𝘣 as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function 𝘈 = 𝑠² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
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.


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