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Activity for Tortilla‭

Type On... Excerpt Status Date
Edit Post #289760 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289760 Post edited:
8 months ago
Edit Post #289758 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289758 Post edited:
8 months ago
Edit Post #289757 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289757 Post edited:
8 months ago
Edit Post #289760 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289760 Post edited:
8 months ago
Edit Post #289760 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289760 Post edited:
8 months ago
Edit Post #289760 Initial revision 8 months ago
Question While pictorializing $|x - y| < |x + y|$, how can 1 picture simultaneously prove (Reverse) △ Inequalities, $|x-y| ≤ |x|+|y|, |x|-|y| ≤ |x-y|$?
I shall improve this post, because - it overlooked Triangle Inequality, $|x + y| ≤ \color{darkgoldenrod}{|x| + |y|}$. Michael Spivak's Calculus (2008 4 edn) proved it on p. 12. - a distinctive diagram ought spotlight, and stress, that $|x - y|$ CAN $(iv) ${\color{red}{|x-y|}} ≤ \color{goldenr...
(more)
8 months ago
Edit Post #289757 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289757 Post edited:
8 months ago
Edit Post #289757 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289757 Post edited:
8 months ago
Edit Post #289758 Initial revision 8 months ago
Question How can I improve contrast of red and green, to prove Reverse Triangle Inequality?
I need to improve this original diagram to the one beneath, because this diagram reappears on standardized tests with different letters, orientation, position of the vectors. Tests require students to distinguish and label $\color{limegreen}{|\vec{b}| - |\vec{r}|}$ versus $\color{red}{\vec{b} - \vec...
(more)
8 months ago
Edit Post #289757 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289757 Post edited:
8 months ago
Edit Post #289757 History hidden:
Detailed history before this event is hidden because of a redaction.
8 months ago
Edit Post #289757 Post edited:
8 months ago
Edit Post #289757 Initial revision 8 months ago
Question Solely by eye, how can 16 year olds visually distinguish $\color{red}{\vec{b} - \vec{r}}$ from $\color{limegreen}{|\vec{b}| - |\vec{r}|}$ ?
Yearly, I teach 16 year olds the diagram beneath (improvement of this original) that reappears on standardized tests with different letters, orientation, position of the vectors. Tests require students to distinguish and label $\color{red}{\vec{b} - \vec{r}}$ vs. $\color{limegreen}{|\vec{b}| - |\vec...
(more)
8 months ago