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Colouring by Polynomial Functions, Mario (6, 12, and 24 Sheet Mosaics)

Grade Levels
10th - 12th, Higher Education
Formats Included
  • Zip
94 pages
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Algebra can be stressful. Colouring can be therapeutic. Sounds like a good combination! Engage students in a fun summary of some core pre-calculus algebra skills through this collaborative math mosaic. 3 different class-size versions are included in this product!

Students get practice evaluating polynomial expressions for specific input values, finding the inverse for linear functions, calculating the average rate of change over an interval, determining the instantaneous rate of change, and dividing polynomial expressions or applying the Remainder Theorem.

Basically, each student has a colour-by-number section of the mosaic. In order to know what colour each number should be, students must complete the math problems to decode the colour-key. Every student's question set is different, but similar in the types of questions asked.

A full answer key is provided, as well as a colour-range answer key, and a list of the problem types assigned to each colour.

I'd love to hear your feedback and your students' response to this task. If you're not yet following me on TpT, I'd love for you to start! You'll get notifications of new products as they launch. I hope to make a calculus derivatives task in the future.

For more collaborative colouring fun for a variety of grades and math topics, be sure to check out the whole Colouring Directory of products, sorted by topic (Trig, systems, equations, annuities, measurement, volume and surface area, fractions... the list is growing!)

โ—พ .pdf and .docx versions of everything
โ—พ Complete 6-sheet, 12-sheet, and 24-sheet class sets of worksheets that combine to create the classic Mario mosaic
โ—พ Teaching Tips page, for smooth implementation :)
โ—พ Complete answer keys for all worksheets
โ—พ 'Colour-Range' answer key for quick at-a-glance assessment. e.g. Blue [0, 2), Red [-4, -2) ...
โ—พ Every worksheets contains its answers randomized at the bottom, helping the student self-assess his/her work

These tasks ensure individual accountability (since every worksheet is different) while harnessing collaborative motivation (since every worksheet is needed for the mosaic). The end result will look spectacular hanging up in your classroom, and your students will be proud!

It's simple!
1. Calculate the answers.
2. Colour the squares.
3. Cut out your section.
4. Combine with the class!

The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together!

Leave the picture a secret or show it for motivationโ€ฆ itโ€™s your call.

All my โ€œColouring byโ€ฆโ€ worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment!

Feedback, suggestions, and frontline stories are always welcomed!

Thanks for checking this out! Enjoy!
Total Pages
94 pages
Answer Key
Teaching Duration
2 days
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to see state-specific standards (only available in the US).
Find inverse functions.
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Rewrite simple rational expressions in different forms; write ๐˜ข(๐˜น)/๐˜ฃ(๐˜น) in the form ๐˜ฒ(๐˜น) + ๐˜ณ(๐˜น)/๐˜ฃ(๐˜น), where ๐˜ข(๐˜น), ๐˜ฃ(๐˜น), ๐˜ฒ(๐˜น), and ๐˜ณ(๐˜น) are polynomials with the degree of ๐˜ณ(๐˜น) less than the degree of ๐˜ฃ(๐˜น), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Know and apply the Remainder Theorem: For a polynomial ๐˜ฑ(๐˜น) and a number ๐˜ข, the remainder on division by ๐˜น โ€“ ๐˜ข is ๐˜ฑ(๐˜ข), so ๐˜ฑ(๐˜ข) = 0 if and only if (๐˜น โ€“ ๐˜ข) is a factor of ๐˜ฑ(๐˜น).


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