role stringclasses 2
values | content stringlengths 0 2.1k | session_id int64 10 21.7k | sequence_id int64 0 2.38k | annotations listlengths 0 8 |
|---|---|---|---|---|
student | Yea | 13,140 | 88 | [] |
student | I’ll find that too now | 13,140 | 89 | [] |
volunteer | You only need to find the area of one base because the pyramid is on the other one | 13,140 | 90 | [] |
student | Now I got 5,760 | 13,140 | 91 | [] |
volunteer | Yes, thats right | 13,140 | 92 | [] |
student | Okay | 13,140 | 93 | [] |
volunteer | Now, lets find the SA of the pyramid. | 13,140 | 94 | [] |
student | Don’t you do the base x height and divide that by two? | 13,140 | 95 | [] |
volunteer | Yes | 13,140 | 96 | [] |
student | Okay | 13,140 | 97 | [] |
student | Is it 4,704? | 13,140 | 98 | [] |
volunteer | How did you get that? | 13,140 | 99 | [] |
student | I did 1200 then divided that by two which is 600 then I multiplied that by 4 which is 2400 then I added that to 48x48 which is 4,704 | 13,140 | 100 | [] |
volunteer | You actually don't need to add that to 48x48 because it is not on the "surface" so it is not part of the surface area. | 13,140 | 101 | [] |
volunteer | It would just be 2400 | 13,140 | 102 | [] |
student | Ohh okay | 13,140 | 103 | [] |
volunteer | 5760+2400=? | 13,140 | 104 | [] |
student | 8160 | 13,140 | 105 | [] |
volunteer | Yes, so that is the surface area of the entire figure. | 13,140 | 106 | [] |
student | Okay | 13,140 | 107 | [] |
volunteer | Sorry but I only have time for one more problem. Which one would you like to do? | 13,140 | 108 | [] |
student | Can we maybe do the rectangle one that is question 7? | 13,140 | 109 | [] |
volunteer | Ok | 13,140 | 110 | [] |
volunteer | We will need to use pythagorean theorem again for this problem | 13,140 | 111 | [] |
student | Okay | 13,140 | 112 | [] |
volunteer | Do you any ideas on where to start? | 13,140 | 113 | [] |
student | not really | 13,140 | 114 | [] |
volunteer | Lets try to find all the side lengths of this rectangle | 13,140 | 115 | [] |
student | Okay | 13,140 | 116 | [] |
volunteer | Can you use the grid and pythagorean theorem to solve for side AB | 13,140 | 117 | [] |
student | Yea | 13,140 | 118 | [] |
student | I got 20? | 13,140 | 119 | [] |
student | I’m not sure if that’s right though for the side | 13,140 | 120 | [] |
volunteer | Lets go through this together | 13,140 | 121 | [] |
student | Okay | 13,140 | 122 | [] |
volunteer | It looks like you found c^2 | 13,140 | 123 | [] |
volunteer | if c^2=20, then what is c | 13,140 | 124 | [] |
student | Do you square root 20? | 13,140 | 125 | [] |
volunteer | yes | 13,140 | 126 | [] |
volunteer | Can you try finding CB? | 13,140 | 127 | [] |
student | Is it 4.47 | 13,140 | 128 | [] |
student | Or do you just leave it like square root 20 | 13,140 | 129 | [] |
volunteer | We should keep that as square root of 20 because it is technically more precise. | 13,140 | 130 | [] |
student | Okay | 13,140 | 131 | [] |
student | I got the square root of 45 | 13,140 | 132 | [] |
volunteer | Yes, thats correct. | 13,140 | 133 | [] |
student | Okay | 13,140 | 134 | [] |
student | Do you multiply them now? | 13,140 | 135 | [] |
volunteer | Yeah, now we have to multiply them. | 13,140 | 136 | [] |
student | Okay | 13,140 | 137 | [] |
volunteer | You can just do 45x20 and put a square root over the answer. | 13,140 | 138 | [] |
student | It’s 30 | 13,140 | 139 | [] |
volunteer | Great, lets find the perimeter. | 13,140 | 140 | [] |
student | Okay | 13,140 | 141 | [] |
student | Do you add them now? | 13,140 | 142 | [] |
student | Should I do 20 + 45 +20 + 45 then square root it? | 13,140 | 143 | [] |
volunteer | When adding square roots, whatever is inside the square root needs to be the same. | 13,140 | 144 | [] |
volunteer | For example square root of 7 + square root of 3 can not be added together. | 13,140 | 145 | [] |
student | Oh okay | 13,140 | 146 | [] |
student | So how do we do this? | 13,140 | 147 | [] |
volunteer | we need to simplify the square roots first | 13,140 | 148 | [] |
volunteer | Do you know how to do this? | 13,140 | 149 | [] |
student | No | 13,140 | 150 | [] |
volunteer | Since square root of 20 = square root of 5 x 2 x 2, we can take out the 2. | 13,140 | 151 | [] |
student | Why do you take out the two? | 13,140 | 152 | [] |
volunteer | This is how we simplify square roots. Hopefully we can simplify square root of 45 to have the same root. | 13,140 | 153 | [] |
volunteer | do you want to try simplifying square root of 45? | 13,140 | 154 | [] |
student | I’m a little confused | 13,140 | 155 | [] |
volunteer | Yeah sorry this is a more confusing topic. | 13,140 | 156 | [] |
volunteer | Let me explain it again. | 13,140 | 157 | [] |
student | Okay | 13,140 | 158 | [] |
volunteer | When we have a number inside of a square root such as 20, we can break it up into its factors and take out numbers that have a pair. | 13,140 | 159 | [] |
volunteer | 20 = 5 x 2 x 2 | 13,140 | 160 | [] |
student | Oh | 13,140 | 161 | [] |
volunteer | Since 2 has a pair, we can take the 2 outside of the square root | 13,140 | 162 | [] |
volunteer | If we were finding the square root of 4, 4 = 2 x 2, since 2 has a pair, we can take the 2 out of the square root. | 13,140 | 163 | [] |
volunteer | We are basically just square rooting a certain part of the number and leaving the rest inside. | 13,140 | 164 | [] |
student | Okay | 13,140 | 165 | [] |
volunteer | Can you try doing this with the square root of 45 | 13,140 | 166 | [] |
student | I’m sorry I don’t know | 13,140 | 167 | [] |
volunteer | Ok, lets do this together. | 13,140 | 168 | [] |
volunteer | What are some factors of 45 | 13,140 | 169 | [] |
student | 15x3 | 13,140 | 170 | [] |
volunteer | Can we break up 15 even more? | 13,140 | 171 | [] |
student | 5x3 | 13,140 | 172 | [] |
volunteer | Since 3 has a pair, we can take that out of the square root and leave the 5 inside. | 13,140 | 173 | [] |
student | So it would be 5 then the square root of 3 | 13,140 | 174 | [] |
student | Oh wait | 13,140 | 175 | [] |
student | The opposite | 13,140 | 176 | [] |
volunteer | Yeah | 13,140 | 177 | [] |
student | 3 then the square root of 5 | 13,140 | 178 | [] |
volunteer | Now that we simplified the square roots, lets get back to the problem. | 13,140 | 179 | [] |
student | Okay | 13,140 | 180 | [] |
volunteer | Now that the square root is the same, we can just add 2+2+3+3 | 13,140 | 181 | [] |
student | Okay | 13,140 | 182 | [] |
volunteer | If you put 10 root 5 into a calculator you should get 22.4 | 13,140 | 183 | [] |
volunteer | Ok, I need to go now | 13,140 | 184 | [] |
student | Yes | 13,140 | 185 | [] |
student | Okay | 13,140 | 186 | [] |
volunteer | Great work today! | 13,140 | 187 | [] |
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