Math+A - Open Questions by terri https://padlet.com/SuperGran/ezms6jxepuv5 Post below by finding an open space and click! en-us 2017-06-16 12:38:16 UTC 2025-09-25 11:57:45 UTC hello@padlet.com R - I knew that 20 x 20 was 400 so I thought I could just choose factors that were close to 20. https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677944 2017-06-16 15:33:15 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677944 Red https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677962 400 is equal to 4 x 100

4x90
4x95
4x97
4x98


Class discussion:
Do you accept these answers? Are they reasonable?]]> 2017-06-16 15:33:31 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677962 Yellow Question Card: https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677967 Hx2 (if H=2)
V-20 (if V=100)
T+40 (if T=10)
M-6 (if M=10)

]]> 2017-06-16 15:33:32 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677967 B- I looked at multiples of 20 and 50, but others looked at equivalent ratios. This opened up for different answers to the prompt. https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677972 2017-06-16 15:33:34 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677972 Blue https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677976 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]]> 2017-06-16 15:33:41 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677976 Red https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677990 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.]]> 2017-06-16 15:33:47 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677990 Red https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677999 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]]> 2017-06-16 15:34:00 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176677999 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. https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678008 2017-06-16 15:34:05 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678008 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. https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678012 2017-06-16 15:34:06 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678012 R - I word "almost" stuck out to me. I know that 39 was close to 40, therefore 390 was close https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678016 2017-06-16 15:34:10 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678016 Blue https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678018 2:5, 4:10, 8:20, 100:250
The ratio between these sets of numbers is 2.5.]]> 2017-06-16 15:34:11 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678018 Red-I started with a T chart. 1 x400, 2x200, 3x133, etc. https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678020 2017-06-16 15:34:13 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678020 Red https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678026 We found factors of 400, then got factors close to ]]> 2017-06-16 15:34:15 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678026 Yellow https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678027 3x2+32-20
7x2-4+10=20]]> 2017-06-16 15:34:15 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678027 https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678030 Yellow card
(2x__) + __-__= 20

I did not read question closely and recognize the word expression and SOME.]]> 2017-06-16 15:34:18 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678030 Blue https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678034 I started by looking at the patterns between the two numbers 20-50 (difference of 30, multiples).  

]]> 2017-06-16 15:34:20 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678034 Yellow https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678041 nx2+20        2n-20      
20-2n  nx2+20-n


]]> 2017-06-16 15:34:24 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678041 Y https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678043 (3X2) + (20-20)]]> 2017-06-16 15:34:26 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678043 B https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678049 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]]> 2017-06-16 15:34:30 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678049 Blue https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678072 I chose 40 and 100 because I knew 20 and 50 were multiples of 10. ]]> 2017-06-16 15:34:35 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678072 https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678095 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

]]> 2017-06-16 15:34:57 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678095 Red https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678096 2017-06-16 15:34:58 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678096 Yellow https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678106 2(7+8)-20

]]> 2017-06-16 15:35:05 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678106 Yellow card: https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678112 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]]> 2017-06-16 15:35:08 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678112 Red https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678131 39 is almost 40
39 x 10 = 390]]> 2017-06-16 15:35:23 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678131 Pink Card: https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678161 Figure 1:  Height 2 units

Figure 2:  Height 4 units
Volume: 16 units cubed 

]]> 2017-06-16 15:35:54 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678161 https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678173 YELLOW
2x2+24-8]]> 2017-06-16 15:35:59 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678173 Y https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678178 (15x2) + 10 - 5-20 +3]]> 2017-06-16 15:36:00 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678178 I divided 20 and 50 by 2 because I know multiples of two have the same relationship https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678181 2017-06-16 15:36:02 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678181 Yellow: https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678198 +30
The numbers  have a 30 point value difference.
20, 50
30, 60
40, 70
50, 80]]> 2017-06-16 15:36:15 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678198 https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678315 200 x 2 = 400 
So, I'll need multiples either larger or smaller to be almost 400. ]]> 2017-06-16 15:37:18 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678315 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. https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678514 2017-06-16 15:38:50 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678514 Blue https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678623 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.]]> 2017-06-16 15:40:09 UTC https://padlet.com/SuperGran/ezms6jxepuv5/wish/176678623