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Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
Linear vs Non-Linear Functions - A Collaborative Sorting Task
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Description

Linear vs. Non‑Linear Functions sorting activity for 8th grade Math students analyze tables, graphs, sequences, and equations.

Help your students master the difference between linear and non‑linear functions with this engaging Collaborative Sorting Task. Designed for 8th grade Math, this resource strengthens conceptual understanding by having students compare tables, graphs, sequences, and equations to determine whether each representation is linear or non‑linear.

Students justify their reasoning, discuss patterns, and build deep understanding across multiple representations—perfect for math talks, partner work, small groups, or independent practice.

What’s Included:

✔️ Linear & Non‑Linear Example Cards

✔️ Multiple representations: tables, graphs, sequences, equations

✔️ Student recording sheets

✔️ Answer keys

✔️ Teaching notes & instructional suggestions

✔️ Blank templates for students to create their own examples

Skills Students Practice:

  • Identifying linear vs. non‑linear functions
  • Recognizing constant rate of change
  • Analyzing patterns in tables and sequences
  • Interpreting graphs for linearity
  • Classifying equations using structure

Perfect For:

  • Collaborative learning
  • Guided practice
  • Intervention & reteaching
  • Warm‑ups or math talks
  • Formative assessment
  • Homework or independent practice

Why Teachers Love It

This task makes abstract concepts visual and accessible. Students compare representations side‑by‑side, discuss their thinking, and build confidence with functions—an essential 8th grade standard.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Linear vs Non-Linear Functions - A Collaborative Sorting Task

Rated 4.78 out of 5, based on 9 reviews
4.8 (9 ratings)
Middle Math Toolbox
32 Followers
FREE

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Grades
8th
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Subjects
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Standards
Answer Key
Included

Description

Linear vs. Non‑Linear Functions sorting activity for 8th grade Math students analyze tables, graphs, sequences, and equations.

Help your students master the difference between linear and non‑linear functions with this engaging Collaborative Sorting Task. Designed for 8th grade Math, this resource strengthens conceptual understanding by having students compare tables, graphs, sequences, and equations to determine whether each representation is linear or non‑linear.

Students justify their reasoning, discuss patterns, and build deep understanding across multiple representations—perfect for math talks, partner work, small groups, or independent practice.

What’s Included:

✔️ Linear & Non‑Linear Example Cards

✔️ Multiple representations: tables, graphs, sequences, equations

✔️ Student recording sheets

✔️ Answer keys

✔️ Teaching notes & instructional suggestions

✔️ Blank templates for students to create their own examples

Skills Students Practice:

  • Identifying linear vs. non‑linear functions
  • Recognizing constant rate of change
  • Analyzing patterns in tables and sequences
  • Interpreting graphs for linearity
  • Classifying equations using structure

Perfect For:

  • Collaborative learning
  • Guided practice
  • Intervention & reteaching
  • Warm‑ups or math talks
  • Formative assessment
  • Homework or independent practice

Why Teachers Love It

This task makes abstract concepts visual and accessible. Students compare representations side‑by‑side, discuss their thinking, and build confidence with functions—an essential 8th grade standard.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

4.8
Rated 4.78 out of 5, based on 9 reviews
9
ratings
All verified TPT purchases
Well crafted
Rated 5 out of 5
February 19, 2026
easy to navigate. Explained topic well. Well crafted. Engaging to the students.
ricki D.
49 reviews
Grades taught: 7th
Middle Math Toolbox
Response from
Middle Math Toolbox
(TPT Seller)
Feb 19, 2026

Thank you! I'm glad it worked well for your students.

Rated 5 out of 5
May 20, 2025
I used this resource as a reteach for my students who were identified as having gaps with linear versus nonlinear. This worked wonderfully with them.
Leanne K.
193 reviews
Grades taught: 8th
Student populations: Learning difficulties
Rated 5 out of 5
March 18, 2025
I liked the different representations of linear functions.
cmb
(TPT Seller)
44 reviews
Grades taught: 8th
Rated 5 out of 5
February 18, 2024
Thanks for this resource! My students really enjoyed it!
1,002 reviews
Grades taught: 8th
Middle Math Toolbox
Response from
Middle Math Toolbox
(TPT Seller)
Feb 18, 2024
Thank you! I'm happy to hear it worked well for your students :).
Rated 3 out of 5
May 23, 2023
The visual aids were helpful for my remedial math class, but the equations were above their comprehension.
Learning Partners
(TPT Seller)
427 reviews
Grades taught: 8th
Student populations: Learning difficulties
Rated 5 out of 5
December 13, 2016
my students loved this organizer
Debra M.
179 reviews
Rated 5 out of 5
February 3, 2016
This is a great organizer for this topic! Thank you for this great freebie! :)
297 reviews
Rated 5 out of 5
June 23, 2015
Thank you! This looks great...can't wait to use it next year!
Kristen Jusiak
(TPT Seller)
74 reviews

Questions & Answers

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Standards

to see state-specific standards (only available in the US).
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.
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