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 ..."]
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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!
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