Differentiated Numerical Patterns Worksheet

Are your students working on using equations to create patterns on input-output tables and graphs? If so, Teach Starter has a differentiated math resource that will help learners of all abilities! With this differentiated task, students will practice:

• Determining whether an equation is multiplicative or additive
• Explaining patterns with words
• Completing input-output tables
• Determining if ordered pairs will fit the given pattern
• Graphing on a coordinate plane
• Determining which scenarios would apply to a given equation

The worksheet has 3 levels, as noted by the pencils on the bottom of the page (1 pencil is more scaffolded, 2 pencils represent intermediate difficulty, and 3 pencils are for more advanced students). Students follow the arrows on the page, completing each task about the assigned equation. 

An answer key is included with your download to make grading fast and easy! 

Tips for Differentiation + Scaffolding 

Students needing a challenge should complete the level 3 version of the task (3 pencils at the bottom of the page) or multiple levels. Challenge students to create their own equation maze. Students could also be challenged to create a “Which One Doesn’t Belong?” where they make 4 input-output tables, 3 having the same pattern and 1 with a different pattern. They can then trade with a partner to find the table that doesn’t fit with the others. 

For students who may need additional support, consider using the level 1 version of the task (1 pencil at the bottom of the page). Students can also complete this activity in a 1-on-1 setting or with a small group of students.

 🖨️ Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or editable Google Slides version of this resource. 

Because this resource includes an answer sheet, we recommend you print one copy of the entire file. Then, make photocopies of the blank worksheet for students to complete.

To save paper, we suggest printing this 2-page worksheet double-sided. 

Turn this teaching resource into a sustainable activity by printing on cardstock and slipping it into a dry-erase sleeve. Students can record their answers with a whiteboard marker, then erase and reuse them.

Additionally, project the worksheet onto a screen and work through it as a class by having students record their answers in their notebooks. 

This resource was created by Lorin Davies, a teacher in Texas and Teach Starter Collaborator.