09:00:40 From dixie ross to Everyone: We need kolaches this morning! 09:02:16 From dixie ross to Everyone: That is the teacher certification test in Texas 09:04:18 From thanhtran to Everyone: Do we have this page in schoolboy? 09:09:17 From dixie ross to Jeff Morgan(Direct Message): I am here but turning off camera due to low bandwidth. 09:09:56 From Suzanne to Jeff Morgan(Direct Message): FYI - I was having trouble with my main computer (blue screen!) but it is up and running now, so I am signing out on this device and will be on that device (which is why my name may have appeared twice) 09:10:59 From Mary Gillespie to Everyone: Friends, please mute your laptop if you're not speaking. 09:12:28 From dixie ross to Everyone: TICAP was a conference held in summer of 1994 to help us learn how to teach calculus well using the NEW graphing calculators. 09:19:10 From Jeff Morgan to Everyone: I also prefer the sign chart 09:21:40 From dixie ross to Everyone: I like both having the sign chart and the verbal interpretation. 09:22:30 From Jim to Everyone: Can you include the 2 and the 5 with "greater than or equal to 0"? 09:22:31 From Martha to Everyone: They could visualize the actual graph of v(t). 09:25:13 From Lutfiye Kavas to Everyone: can yiu repeat the right interpretation sentence 09:25:39 From dixie ross to Everyone: Particle moves to the LEFT at a rate of 12 m/sec at t=3 seconds. 09:26:26 From dixie ross to Everyone: For interpretation, we want to have correct Noun, Units and Time. I call it the NUT strategy to make sure they include all parts. 09:27:12 From guttall to Everyone: For total distance, donโt they have to setup an integral first? 09:28:09 From dixie ross to Everyone: Not in this case. You have the position equation given. So, you have find positions between critical points. 09:29:21 From Lutfiye Kavas to Everyone: how do you define on a calculator.can't we store? 09:30:24 From dixie ross to Everyone: Different models of calculator would do it differently. He is using a TI-Inspire. 09:32:27 From Dacia to Everyone: Love that graph! 09:32:41 From Angie Esswein to Everyone: Reacted to "Love that graph!" with ๐ 09:33:04 From Angie Esswein to Everyone: Reacted to "For interpretation, ..." with โค๏ธ 09:33:45 From Mike Spencer to Everyone: Great graph! I think I would like to see v, a, and speed together as well. 09:34:53 From dixie ross to Everyone: That graph would be a great way to introduce the idea that speed increases when vel and acc have same sign and speed decreases when vel and acc have different signs. 09:35:17 From Martha to Everyone: I did not print out the handouts. This lingo is on the handouts, correct? 09:35:55 From Lutfiye Kavas to Everyone: yes 09:35:56 From Dacia to Everyone: Yes, all of this is in the handouts. 09:38:06 From Ryan Peterson to Everyone: what if they had noted at vโ(t)=a(t) in a previous step? 09:38:19 From Sharon to Everyone: When the velocity is increasing, should it also include the endpoint as we do with when a graph is increasing? 09:38:43 From thanhtran to Everyone: Since high school using nspires, do you have tips and trick using nspires ?? 09:39:39 From guttall to Everyone: What if they write a(t) =vโ(t) first and then write a(6) = 17? 09:40:04 From dixie ross to Everyone: That would work. 09:44:27 From Mary Gillespie to Everyone: rewrite as a piecewise function using definition of absolute velocity. 09:44:44 From Lutfiye Kavas to Everyone: square root of a function square 09:45:11 From Lutfiye Kavas to Everyone: take the derivative of the square root 09:45:26 From guttall to Everyone: v(t) vโ(t) /absolute velocity 09:46:43 From Jim to Everyone: Integral of area above - Integral of area below 09:46:44 From guttall to Everyone: Split the integral 09:46:57 From Ryan Peterson to Everyone: Reacted to "Split the integral" with ๐ 09:47:52 From dixie ross to Everyone: #16 expression is SUPER IMPORTANT since it can be applied in other contexts. 09:51:45 From dixie ross to Everyone: Remind students that calculators should ALWAYS be set in radians for the AP Calculus exam. 09:52:49 From Connie Mangaoil to Everyone: They need to use parenthesis when the denominator is more than 1 term, right? like the 1 +t^3 09:54:21 From dixie ross to Everyone: Yes, OR they can learn to enter fractions using the horizontal fraction bar. 09:55:03 From dixie ross to Everyone: Hit Alpha Key, then y= key and then 1 on the TI-84. 09:57:07 From Jeff Morgan to Everyone: .1245 09:57:17 From Jeff Morgan to Everyone: .125 09:57:27 From Jeff Morgan to Everyone: .13 :-) 09:57:31 From Mike Spencer to Everyone: Replying to "Hit Alpha Key, then ..." Ctrl+Divide is the Nspire equivalent 09:57:33 From dixie ross to Everyone: Yikes! Had never thought of this! 09:58:01 From Jeff Morgan to Everyone: Moral - Create problems that don't put students in this situation. What are you trying to test? 09:58:03 From Maitriyee Mishra to Everyone: I never thought about it 09:59:06 From Melissa King to Everyone: Where do you find how many values the calculator is reporting? 09:59:16 From Melissa King to Everyone: TI-84 09:59:28 From dixie ross to Everyone: Hit MODE key and set it to float. 10:01:55 From Martha to Everyone: Where do you find these functions on the Nspire? 10:04:06 From guttall to Everyone: Is a(5) okay or vโ(5)? 10:04:14 From Jim to Everyone: Button to the right of the 9 that looks like a book. All commands are alphabetical. Some of the commands are only on the CAS version of the Nspire. 10:04:54 From Martha to Everyone: Thank you, Jim 10:06:04 From Jeff Morgan to Everyone: I'm here too in case Dixie drops off. I believe James and Melahat are also on. 10:07:13 From dixie ross to Everyone: I personally would write a(5) = v'(5) = -1.422. This lets them know where the value came from. 10:07:45 From guttall to Everyone: Thanks Dixie! 10:08:55 From dixie ross to Everyone: I want to do "research" that involves an amusement park! 10:13:02 From Jeff Morgan to Everyone: Areas 10:14:44 From dixie ross to Everyone: Candidates' Test! 10:15:00 From Jeff Morgan to Everyone: Area 10:15:04 From guttall to Everyone: Area 10:15:12 From Maitriyee Mishra to Everyone: area 10:15:15 From Mary Gillespie to Everyone: sNet change theorem - FTC rewritten 10:15:27 From Lutfiye Kavas to Everyone: is 60 not a criticalnpoint 10:15:50 From dixie ross to Everyone: It is, but no CHANGE takes place there. 10:16:04 From dixie ross to Everyone: It would not be wrong to include the 60. 10:16:04 From Lutfiye Kavas to Everyone: but not put on the chart 10:17:11 From JRiegel to Everyone: trapezoid 10:17:11 From Jim to Everyone: trapezoid 10:17:12 From thanhtran to Everyone: trapezoid 10:17:16 From Connie Mangaoil to Everyone: trapezoid 10:17:17 From Maitriyee Mishra to Everyone: Trapezoid 10:18:02 From Jeff Morgan to Everyone: two triangles 10:18:20 From Jeff Morgan to Everyone: or a triangle and a trapezoid 10:18:27 From thanhtran to Everyone: Composite 10:18:41 From Mike Spencer to Everyone: And I get so exasperated when students subtract the two bases in their trapezoid areas-- despite my emphasis on average of the bases. 10:20:06 From dixie ross to Everyone: https://www.youtube.com/watch?v=vsUmiB30Q8A 10:21:46 From Melahat Almus to Everyone: Please fill in this survey so that we can send you a certificate for participating. You will receive it within a week via email. https://forms.office.com/r/WNhQ3Uhwi5 10:22:00 From thanhtran to Everyone: Using linear graph to get - & + 10:22:27 From Lutfiye Kavas to Everyone: can you scroll up to the answer of b 10:24:45 From Edna to Everyone: The last bit that Steve talked about - finding the area under the curve using the calculator - is that on an Inspire or TI-84? 10:26:45 From Alyona Atsalis to Everyone: I make a summary handout for my students for each unit. May I use your 18 mathematical translations in particle motion summary? 10:30:27 From Alyona Atsalis to Everyone: Thank you! 10:31:12 From Melissa King to Everyone: Can you scroll up to part a? 10:31:36 From Jeff Morgan to Everyone: Note that we will post the video shortly after the meeting. 10:31:56 From JRiegel to Everyone: Thank you 10:32:59 From Martha to Everyone: did you say calculus Monday... 10:33:47 From Jeff Morgan to Everyone: https://education.ti.com/en/bulletinboard/mondaynightcalculus 10:33:55 From dixie ross to Everyone: https://education.ti.com/en/bulletinboard/mondaynightcalculus 10:34:16 From dixie ross to Jeff Morgan(Direct Message): You are so much faster than me! 10:34:39 From Jeff Morgan to dixie ross(Direct Message): Also, some recordings on YouTube: https://www.youtube.com/playlist?list=PLQa_6aWmaC6CojJc9eTQ4sDYgUKMfn1ID 10:35:01 From Jeff Morgan to Everyone: Also, some recordings on YouTube: https://www.youtube.com/playlist?list=PLQa_6aWmaC6CojJc9eTQ4sDYgUKMfn1ID 10:35:10 From dixie ross to Jeff Morgan(Direct Message): did you want to post that last one to everyone? 10:35:17 From Jeff Morgan to dixie ross(Direct Message): I just did 10:36:26 From Jeff Morgan to Everyone: factor 10:36:39 From Jeff Morgan to Everyone: (t-3)(t-9) 10:39:18 From Alyona Atsalis to Everyone: how far do they need to simplify the expression with variables? 10:42:24 From Alyona Atsalis to Everyone: the simple I can think of: if you have sin square of x plus cosine square of x, do you need to rewrite as one 10:43:22 From Jeff Morgan to Everyone: not defined at x=2 10:43:52 From dixie ross to Everyone: That's a trig identity. We are not testing them on trig identities. 10:44:28 From Jeff Morgan to Everyone: Note: In a college course, we expect to see 1. 10:45:19 From Alyona Atsalis to Everyone: How about 2x+x? Does it need to be replaced with 3x? 10:45:26 From dixie ross to Everyone: ABSOLUTELY AGREE. In my own classroom, I want to see 1. AP Exam (like other exams), you need to know its peculiarities. 10:45:54 From dixie ross to Everyone: I always tell my kids to follow the house rules. 10:47:01 From guttall to Everyone: Dt is missing 10:49:43 From Mary Gillespie to Everyone: Amen, Dixie! We're preparing students for COLLEGE! 10:49:54 From Mrs. Littles to Everyone: Can a student change a variable in a problem if they define it first? For example, can they say t = x and then use x in the problem? 10:50:11 From guttall to Everyone: Agree with you totally Dixie! 10:51:18 From Mrs. Littles to Everyone: Thanks for the clarification. 10:51:27 From guttall to Everyone: I take away points for writing v(t) = function of x. 10:53:23 From Melissa King to Everyone: Sometimes my students also write somewhere f(t)=y1 referring to the assignment they have made in the calculator and then use y1 or y2 throughout the rest of their calculations (such as in a volume problem) 10:54:23 From dixie ross to Everyone: I really encourage them to use the labels GIVEN IN THE PROBLEM! 10:56:05 From Jeff Morgan to Melahat Almus(Direct Message): Did we get good response on the survey? 10:56:20 From Jim to Everyone: wouldn't it be a'(40) 10:56:53 From Lutfiye Kavas to Everyone: do they have to extract the values for v(50) 10:57:01 From Lutfiye Kavas to Everyone: v(30) 10:57:01 From dixie ross to Everyone: No, it's a(40)=v'(40) 10:58:07 From dixie ross to Everyone: We really need to see the DIFFERENCE QUOTIENT. 10:58:21 From Melahat Almus to Jeff Morgan(Direct Message): 30 responses so far. 10:58:31 From guttall to Everyone: What about the equal to sign instead of approximation? My students make that mistake. 10:58:39 From Melahat Almus to Jeff Morgan(Direct Message): We can remind again at the end. 10:58:55 From Jeff Morgan to Melahat Almus(Direct Message): Thanks 11:05:27 From BRCS Susan Stemper to Everyone: So, line 2 is enough 11:05:40 From Jim Dang to Everyone: So, line 2 is enough Yes. 11:06:17 From Alyona Atsalis to Everyone: What if they have only integral with line two only. Is that Ok? 11:06:35 From dixie ross to Everyone: That would be okay. 11:07:51 From dixie ross to Everyone: I'm sure I can google and find a great video with cat and Roomba! Kids love those short videos! 11:15:27 From dixie ross to Everyone: I STRONGLY ENCOURGE new AP teachers to read those Chief Reader reports. 11:31:06 From dixie ross to Everyone: The second method was by far the more common one that students presented. 11:37:46 From dixie ross to Everyone: We really need to get students to use proper limit notation! 11:38:57 From Jim Dang to Everyone: When I graded this question last year at the reading, the infinity plugged in was a big problem in part d. 11:44:58 From Maitriyee Mishra to Everyone: I told my not to write equal sign even for inf/inf 11:50:28 From Jim to Everyone: Thank you !! 11:50:29 From Maitriyee Mishra to Everyone: If it is possible can you shares bc part of problem solution because right now I am teaching those topics. 11:50:37 From Dacia to Everyone: Thank you! 11:50:43 From Mrs. Littles to Everyone: Is it possible to gain access to the solutions for the BC Particle Motion handout, since we are not covering it today? 11:50:46 From Inna Savinskaya to Everyone: Thank you! 11:50:46 From Maitriyee Mishra to Everyone: Thank you ! 11:50:54 From Lutfiye Kavas to Everyone: can you also post the document with the solutions 11:50:55 From Ashley Lardizabal to Everyone: Thank you 11:50:57 From dixie ross to Everyone: http://www.houstonact.org/documents/RossMotionTwo.pdf 11:51:02 From Elaine to Everyone: Thank you! 11:51:05 From Martha to Everyone: Great information 11:51:29 From Vijay to Everyone: Thanks so much for hosting this workshop 11:51:29 From Connie Mangaoil to Everyone: Thank you. 11:52:11 From Lutfiye Kavas to Everyone: which year Dixie you covered particle moving to each other? so that I can also look for the solution of the question you put up 11:52:20 From Mrs. Littles to Everyone: Is it possible to gain access to the solutions for the BC Particle Motion handout, since we are not covering it today? 11:52:23 From Ryan Peterson to Everyone: Thanks! 11:52:33 From Melahat Almus to Everyone: If you have not done so, please fill in this survey. We will send you a certificate of participation within a week via email. https://forms.office.com/r/WNhQ3Uhwi5 11:52:36 From Gregory Timm to Everyone: Thank you 11:53:09 From Alyona Atsalis to Everyone: Thank you! 11:53:10 From Angie Esswein to Everyone: Thank you so very much Stephen and Dixie for sharing your expertise with us!!! 11:53:11 From Jim Dang to Everyone: Thanks again! 11:53:14 From Melahat Almus to Everyone: Thank you! 11:53:26 From Edna to Everyone: Are you also posting the document that Steve wrote on today? The one with the solutions? 11:53:31 From Melahat Almus to Everyone: Please fill in this survey if you have not done so already: https://forms.office.com/r/WNhQ3Uhwi5 11:53:39 From Mrs. Littles to Everyone: Thank you! 11:53:43 From Maitriyee Mishra to Everyone: Thank you ! 11:53:55 From Mike Spencer to Everyone: Awesome session! Thanks Stephen! Thanks also Dixie! 11:54:01 From Melahat Almus to Everyone: Enjoy the rest of your weekend everyone! 11:54:02 From Edna to Everyone: Thank you for sharing all of your expertise and experience with us! 11:54:21 From guttall to Everyone: Thank you! 11:54:31 From Lutfiye Kavas to Everyone: can you share your email' 11:54:53 From Lutfiye Kavas to Everyone: can you write to the chat 11:54:56 From Edna to Everyone: email? I don't see it on the document 11:55:01 From Alyona Atsalis to Everyone: can you give your email? 11:55:01 From BRCS Susan Stemper to Everyone: thank you 11:55:29 From Jeff Morgan to Everyone: "Kokoska, Stephen M" skokoska@bloomu.edu 11:56:41 From Lutfiye Kavas to Everyone: I can't express how much I am thankful