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# Differences

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activities:guides:vfactinggrad 2014/08/07 12:13 | activities:guides:vfactinggrad 2019/06/03 13:44 current | ||
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- After the students all point initially, ask which students are pointing at the top of the hill. Clarify that they are actually pointing upward or directly at the top of the hill. Then ask these students to lower their arms. Then ask a student who's pointing correctly why they're not pointing directly at the top of the hill. A follow up question to another student pointing correctly is: "Why is your arm parallel to the floor and not pointing at an angle?" | - After the students all point initially, ask which students are pointing at the top of the hill. Clarify that they are actually pointing upward or directly at the top of the hill. Then ask these students to lower their arms. Then ask a student who's pointing correctly why they're not pointing directly at the top of the hill. A follow up question to another student pointing correctly is: "Why is your arm parallel to the floor and not pointing at an angle?" | ||

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==== Activity: Wrap-up ==== | ==== Activity: Wrap-up ==== | ||

- | The understanding that the gradient is always perpendicular to the level curves(for two dimensions) that they lie on. This is regardless of where the global maximum is of the function. | + | The understanding that the gradient is always perpendicular to the level curves(for two dimensions) that they lie on. This is regardless of where the global maximum is of the function: if the hill is not circular, then not everyone will be pointing towards the same point. |

==== Extensions ==== | ==== Extensions ==== |