Garden Path Problem by Duane Heide https://padlet.com/rdheide5/4m3yay9z7h4l Click on the + sign (below right) and create a sticky. Add your name at the top (title) and write down your solution to the problem. If possible, post a different method than others have posted. en-us 2017-12-06 23:09:34 UTC 2025-09-30 14:40:07 UTC hello@padlet.com Patterns - Sean https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2240974415 I noticed a pattern in that every time the length increases by 1, the number of blocks needed increases by 4. Therefore:
 
1, 8
2, 12
3, 16
4, 20
5, 24
6, 28
7, 32
8, 36
9, 40
10, 44]]> 2022-07-11 11:31:47 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2240974415 Garden Path- Emma https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2241126534 I originally started with a t-chart showing that the patio stones increase by 4 when the garden increases by 1, but I wanted to do something different so I solved the problem by creating an equation. ]]> 2022-07-11 15:36:44 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2241126534 Garden Path Problem - Dorothy https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2241275363 Knowing that younger students will often  require a concrete visual, I took the time to draw the 10 unit long garden and also used a ratio table where I could clearly see that the number of patio stones required increased by 4. I also recognize that I didn't include the extension questions...]]> 2022-07-11 21:59:01 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2241275363 Garden Path - Sonali At first I counted the number of blocks that were being added to the right side only. I assumed the that since the length was getting bigger, it would only be getting longer, but I realized that the square was growing in size as well. Then I had to count how many blocks they were for the first 3 set of gardens and then found that the size was growing by 4 yellow blocks so I counted up for the rest. https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2243758374 1- 8
2- 12
3- 16
4- 20
5- 24
6- 28
7-32
8-36
9- 40
10 - 44]]> 2022-07-15 01:21:00 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2243758374 Garden Path Problem Emily https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2244491518 2022-07-16 12:26:24 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2244491518 Garden Path Solution - Natalie https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2248208831 Using the diagrams, I looked for a pattern within the first three. Each increased the number of stones by 4 when the garden increased by 1.  Therefore:

1, 8
2, 12
3, 16  meant that a garden length of 4 needed 20 stones.

To solve a garden length of 10 I continued to count up:
5, 24
6, 28
7, 32
8, 36
9, 40
10, 44

While this did not take particularly long to get to a garden length of 10 it would not be effective to problem solve to get the length of 100. I know that I could create an equation that could then make it possible to quickly solve for a garden length of 100.   ]]> 2022-07-22 13:56:40 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2248208831 Garden Problem - Bren rdheide5 https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2248288216 When I solved the problem I followed the following steps: 
  1. identify the pattern between lengths 1-3. 
  2. apply the pattern rule to determine the length of one side in garden length #4. 
  3. Multiply by 4 to get the total number of stones needed to surround the garden. 
]]> 2022-07-22 17:27:07 UTC https://padlet.com/rdheide5/4m3yay9z7h4l/wish/2248288216