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I chose 2:5 as my answer. I realized that 20 and 50 are multiples of 10. So when I divided 20 and 50 I got 2 and 5.

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I started off by finding two factors that were factors of 400.  I then decreases one of the factors by 1 in order to get a new product that was "almost" 400.  I then decreased each factor by 1 as well.

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I started off by finding two factors that were factors of 400.  I then decreases one of the factors by 1 in order to get a new product that was "almost" 400.  I then decreased each factor by 1 as well.

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200 x 2 = 400
So, I'll need multiples either larger or smaller to be almost 400.

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+30
The numbers  have a 30 point value difference.
20, 50
30, 60
40, 70
50, 80

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I divided 20 and 50 by 2 because I know multiples of two have the same relationship

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I divided 20 and 50 by 2 because I know multiples of two have the same relationship

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(15x2) + 10 - 5-20 +3

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YELLOW
2x2+24-8

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Figure 1:  Height 2 units

Figure 2:  Height 4 units
Volume: 16 units cubed

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39 is almost 40
39 x 10 = 390

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15 x 2 + 10 -20 = 20
12 x 2 + 6 - 10 = 20
After the whole group discussion I noticed that I did not read the problem carefully, therefore I created an equation instead of an expression

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2(7+8)-20

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Blue: Initially I worked with the difference of 30 between the two and connected that idea to other pairs of numbers. Then I tried connecting the pairs to 'fractions' as well as if it held true for percentages etc.
10 -40. 1/4. 25%
20 -50.  2/5 40

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I chose 40 and 100 because I knew 20 and 50 were multiples of 10.

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I started with a number line and the numbers 20 to 50 and got 30 then compared 70 to 100 and I noticed divisibility rules in my numbers 2,5,10 etc and kept building from there.
01,5,2sacus

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(3X2) + (20-20)

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nx2+20        2n-20
20-2n  nx2+20-n

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I started by looking at the patterns between the two numbers 20-50 (difference of 30, multiples).

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Yellow card
(2x__) + __-__= 20

I did not read question closely and recognize the word expression and SOME.

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3x2+32-20
7x2-4+10=20

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We found factors of 400, then got factors close to

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Red-I started with a T chart. 1 x400, 2x200, 3x133, etc.

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Red-I started with a T chart. 1 x400, 2x200, 3x133, etc.

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2:5, 4:10, 8:20, 100:250
The ratio between these sets of numbers is 2.5.

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R - I word "almost" stuck out to me. I know that 39 was close to 40, therefore 390 was close

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R - I word "almost" stuck out to me. I know that 39 was close to 40, therefore 390 was close

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R- I thought 2x2=4 so 20x20=400 then I went to 20x19. Then I started thinking what made 40, so I went to 8x5 and went to 8x50 or 80x5. 

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R- I thought 2x2=4 so 20x20=400 then I went to 20x19. Then I started thinking what made 40, so I went to 8x5 and went to 8x50 or 80x5. 

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R- I used guess and check. I began multiplying numbers together to see which numbers worked. The word "almost" in the problem allowed me freedom to not have to get 400 exactly as the answer. There are multiple correct answers to this problem.

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R- I used guess and check. I began multiplying numbers together to see which numbers worked. The word "almost" in the problem allowed me freedom to not have to get 400 exactly as the answer. There are multiple correct answers to this problem.

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I wanted to immediately list exact factors and then realized the pressure taken from students by being able to list numbers that multiply to get almost 400

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I started by finding all of the possible combinations to equal 400. Any combinations of numbers close to those numbers will give you an answer close to 400.

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I reasoned that the numbers were multiples of 10 and multiples of 5, then reasoned by using any number that has a factor of 5 and/or 10

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B- I looked at multiples of 20 and 50, but others looked at equivalent ratios. This opened up for different answers to the prompt. 

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B- I looked at multiples of 20 and 50, but others looked at equivalent ratios. This opened up for different answers to the prompt. 

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Hx2 (if H=2)
V-20 (if V=100)
T+40 (if T=10)
M-6 (if M=10)

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400 is equal to 4 x 100

4x90
4x95
4x97
4x98

Class discussion:
Do you accept these answers? Are they reasonable?

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R - I knew that 20 x 20 was 400 so I thought I could just choose factors that were close to 20. 

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R - I knew that 20 x 20 was 400 so I thought I could just choose factors that were close to 20. 