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Colouring by Linear Systems - Graphing Method with Algebraic Check, 4 Versions

Grade Levels
9th - 10th
Formats Included
  • Zip
26 pages
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Big kids still love to colour!
This engaging task will strengthen students' understanding of what it means to solve a linear system, connecting the graphical meaning (point of intersection) to the algebraic meaning (ordered pair that satisfies both equations). Check out the product preview!

Students solve 12 linear systems using the graphing method, checking their solution by plugging it into each equation. Student use their answers for the colour-by-number picture. [e.g. Red = the x coordinate of the point of intersection for ..."]

Get this product as part of a MASSIVE linear systems bundle!

This is a good early activity for linear systems, connecting to prior knowledge of graphing lines. Colouring is therapeutic and can calm the trauma of algebra! Offer students a little reward for their homework efforts with this fun departure from standard textbook work :)

◾pdf and docx versions of all worksheets
◾4 different sets of 12 linear systems with an accompanying handout where students can graph each system and compute check the solutions algebraically in both equations.
◾Equations are in slope-intercept form (y = mx + b, y = b, and y = mx) to emphasize the graphing method.
◾Colour-by-number grid that works with the solutions to all 4 versions. (There are 900 squares of colouring fun!)
◾Answer Key and Teaching Suggestions sheet, showing the final picture and value assigned to each colour.

If you want to try a COLLABORATIVE colouring activity where each student's worksheet represents a small section of a large mosaic, have a look at Colouring by Algebra - Linear Systems Octopus. It includes both a regular and light-workload version, and involves equations in standard form as well.

Or, for an even bigger collaborative adventure, try Colouring by Linear Systems Rose - Graphing and Mixed Methods Versions, 48 worksheet mosaics, great for multi-class participation, or splitting up across the whole linear systems unit.

Or, check out the whole Collaborative Math Mosaic directory, sorted by topic!

I'd love to have your feedback! Please rate, and share your frontline experiences.

~CalfordMath (CalfordMath@live.ca)
Total Pages
26 pages
Answer Key
Teaching Duration
90 minutes
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to see state-specific standards (only available in the US).
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.


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