Constant of Proportionality

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to complete the ordered pairs for a proportional relationship with the greatest constant of proportionality possible.

Hint

How will the constant of proportionality help you find the ordered pairs?

Answer

(1,8) (5,40) (12,96) is a solution. If you find another, let us know in the comments.

Source: Jenny Wilcox

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Solving Two-Step Equations

Directions: Using the digits 0 to 9, at most one time each, place a digit …

17 comments

  1. (1,9) (3,27) (06, 54)

  2. (1,3) (2, 06) (19,57)

  3. (1,4) (7,28) (09,36)

    (1,7) (4,28) (09,63)

    (1,8) (7,56) (03,24)

    (1,9) (6,54) (03,27)

    (1,9) (8,72) (04,36)

    Once you find one, you can’t stop finding more. It is fun!

  4. The solution used the digit 1 twice. This goes against the directions.

  5. How can i assign this to my students? Is there a link where they can do it on desmos?

    • Hi niaya, you cannot directly assign problems to students through the Open Middle website. I would recommend printing out problems and giving your students number tiles to use along with it.

  6. (1 , 4) (5, 20) (17, 68)

  7. Christine Pereira

    (1,6)
    (7,42)
    (15,90)
    My son’s solution

  8. (1,8) (3,24) (10,90)

  9. (1,5) (2,10) (10,50)

  10. 1,2
    2,4
    3,6
    4,8
    5,10
    6,12
    7,14
    8,16
    9,18
    10,20

  11. (1,2)
    (5,10)
    (43,86)

  12. seriously there is a 6th grade problem that is SO MUCH HARDER —>https://www.openmiddle.com/finding-equivalent-ratios-2/

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