Open Middle®
Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to create an accurate number line.
How many solutions can you find?
Hint
Encourage students to try different approaches to find multiple answers.
Fill in percent and whole value and calculate the part.
Fill in percent and whole value and calculate the part.
Answer
Percents should be less than 50% based on the placement on the number line.
Answers vary. Some possible answers:
35%, 21, 60; 25% 09, 36; 34%, 17, 50
Answers vary. Some possible answers:
35%, 21, 60; 25% 09, 36; 34%, 17, 50
Source: Adrianne Burns
Here is the link to my blog post about using linear models with percents. You can see the progression, tools, and manipulatives I used. http://burnsmath.blogspot.com/2017/03/percents-on-linear-model.html
This question would be better if you mention that the line is to scale.
Definitely. I think depending on the students level it could be said at the beginning or be a part of the discussion when sharing answers and strategies.
Another answer that Eloise, Charlotte and Niki came up with is 34%, 17, 50.
Thanks Annie. We’ve added your answer.
35%. 21, 60
All solutions below 50 %:
04 = 16 % of 25
04 = 25 % of 16
09 = 12 % of 75
09 = 25 % of 36
09 = 36 % of 25
13 = 20 % of 65
13 = 26 % of 50
14 = 28 % of 50
16 = 32 % of 50
17 = 20 % of 85
17 = 25 % of 68
17 = 34 % of 50
18 = 24 % of 75
18 = 36 % of 50
19 = 25 % of 76
19 = 38 % of 50
21 = 35 % of 60
23 = 46 % of 50
27 = 45 % of 60
36 = 45 % of 80
36 = 48 % of 75
38 = 40 % of 95
Pixel measurements show that the length of the interval between 0 % and _ _ % is about 29 % (130 of 453 pixels) of the whole line between 0 % and 100 %. Therefore, the solution 14 = 28 % of 50 is the one that best describes the image.
09 = 12 % of 75 and 36 = 48 % of 75 fit on the same number line using each of the digits 0-9 once only