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New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity
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Description

Make linear functions meaningful at the start of the year! In this engaging New Year’s math activity, students model real-life resolutions using linear equations, tables, and graphs. Instead of abstract numbers, students connect slope and y-intercept to goals like saving money, reading, or exercising.

This resource works beautifully during the first week back from break, for goal-setting, or as a low-stress formative assessment. Students stay engaged while demonstrating true understanding of linear relationships.

What’s Included:

  • Guided warm-up and reflection questions
  • Real-world linear modeling task
  • Equation writing in slope-intercept form
  • Table with x-values to be completed
  • Coordinate plane for graphing purposes
  • Interpretation and reflection questions
  • Teacher grading rubric (20 points)
  • Space for teacher comments
  • Space for student grade to allow for different grading scales

Skills Covered:

  • Writing linear equations in slope-intercept form
  • Identifying and interpreting slope and y-intercept
  • Completing tables of values
  • Graphing linear functions
  • Connecting math to real-world situations

Why Teachers Love This Resource:

  • Perfect for January goal-setting
  • High student engagement
  • Clear structure and easy grading
  • Real-world application of abstract concepts
  • Works for whole class, small group, or sub plans

Looking for more printable or digital math fun? Visit my EGMath store for more hands-on activities that make math meaningful!

Product page counts include all pages - informative, activity, and keys.

Terms of Use:

This resource is for single-teacher use. Please purchase additional licenses for other educators. Thank you for supporting original educational content.

Did you know you can get TPT store credits?

All you need to do is leave feedback on the resources you buy, and you can earn credits for future purchases. That makes great math sense!

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Engage your students in meaningful math practice today!

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New Year’s Goals & Linear Functions | Real-World Slope & Intercept Activity

Rated 4 out of 5, based on 1 reviews
4.0 (1 rating)
EG Math - Middle School
18 Followers
$3.00

Highlights

Digital downloads
Grades icon
Grades
8th - 9th
Subjects icon
Subjects
Standards icon
Standards
Pages
6
Answer Key
Rubric only

Description

Make linear functions meaningful at the start of the year! In this engaging New Year’s math activity, students model real-life resolutions using linear equations, tables, and graphs. Instead of abstract numbers, students connect slope and y-intercept to goals like saving money, reading, or exercising.

This resource works beautifully during the first week back from break, for goal-setting, or as a low-stress formative assessment. Students stay engaged while demonstrating true understanding of linear relationships.

What’s Included:

  • Guided warm-up and reflection questions
  • Real-world linear modeling task
  • Equation writing in slope-intercept form
  • Table with x-values to be completed
  • Coordinate plane for graphing purposes
  • Interpretation and reflection questions
  • Teacher grading rubric (20 points)
  • Space for teacher comments
  • Space for student grade to allow for different grading scales

Skills Covered:

  • Writing linear equations in slope-intercept form
  • Identifying and interpreting slope and y-intercept
  • Completing tables of values
  • Graphing linear functions
  • Connecting math to real-world situations

Why Teachers Love This Resource:

  • Perfect for January goal-setting
  • High student engagement
  • Clear structure and easy grading
  • Real-world application of abstract concepts
  • Works for whole class, small group, or sub plans

Looking for more printable or digital math fun? Visit my EGMath store for more hands-on activities that make math meaningful!

Product page counts include all pages - informative, activity, and keys.

Terms of Use:

This resource is for single-teacher use. Please purchase additional licenses for other educators. Thank you for supporting original educational content.

Did you know you can get TPT store credits?

All you need to do is leave feedback on the resources you buy, and you can earn credits for future purchases. That makes great math sense!

Follow me to receive product updates!

Engage your students in meaningful math practice today!

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

4.0
Rated 4 out of 5, based on 1 reviews
1
rating
All verified TPT purchases
Encourages thinking and sense-making
Rated 4 out of 5
February 1, 2026
Helpful product that was useful as we returned from Christmas Break to reinforce and bring back student learning from before the break. Thanks!
Dwayne C.
2,119 reviews • Virginia
Grades taught: 6th, 7th, 8th
EG Math - Middle School
Response from
EG Math - Middle School
(TPT Seller)
Feb 2, 2026
Thank you for your kind words and you are very welcome!

Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
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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