Image from http://www.intmath.com/Functions-and-graphs/4x2plusy3.gif
Use the instructional tool you created in class to teach someone else how to graph a point in 3D. Post a comment reflecting on your teaching experience. Who did you explain this concept to? What did you do best? What could you have done better? What questions do you still have?
Posts
77 comments:
Today, I explaind the 3-D graph to middle schoolers on my bus. He looked with enthusiasm. After I finished explaining the coordinate triple, he had no questions.
I explained this to a friend who is taking Algebra I at the moment. What I did best was that I took it step by step when I was explaining it. What I could have done better was have my graph a bit neater so it would have been easier to read off of. The person I explained this to had no questions after, and had complete understanding.
I explained my 3-D graph to an Algebra 1 student in eighth grade who i knew would have a basic understanding of graphs. he had some difficulty grasping the 3-D concept so i broke it down into simpler pieces and he eventually understood it with no questions.
I explained the 3-D graph to a friend in 11th grade. He understood it right away. No questions were asked.
I explained the xyz graphing concept to an 11th grader on my bus. He said I explained the information very clearly, but he didn't understand why a point would go back and forth. He said I best explained it by relating the z axis to the other axes. Although, I should have related the z part of graphing to something he was familiar with, like videogames. I understand the concept very well, but apparently I can't efficiently teach it. No questions.=D.
I explained the three-dimensional graph to my mother. She understood completely how to isolate the variables separately and solve for them, but was confused by the actual axes and graph. What I could have done better was make my graph a little neater and in larger increments so that she could see the graph clearer.I still don't understand why the X-axis is the three-dimensional axis rather than it being the Z-axis and leaving the X and Y axes the same.
I explained the 3-D graph to a tenth grader in Pre-Calc, and showed him how to graph the triple coordinate. He completely understood the concept and had no questions to ask.
I taught the concept of 3D graphing to my little sister who is taking Algebra I. She understood the idea very quickly. The 'insructional tool' we created in class helped a lot. Using graph paper also helped. I don't have any questions.
I have explained graphing in three variables to my sister. She understood straight away and asked no questions.
I explained the 3-D graph to my mom. I explained it to her step by step slowly. I should have looked in the book for examples to show her. She had no questions when we were finished.
I explained the 3D graph to mi friend in the 10th that's taking geomtry now. He understood everything the first time showing him. If my graph had sum color then it would have been easier to tell the diff between the x y z
i explain the 3-D graph to my little brother who is taking algebra 1. i explained it step by step and he grasped the concept quickly. he had no questions.
I explained it to my cousin who said i did okay. What i did best though was going step by step and relating each step to sports since he loves sports.I could have actually said it like i learned it but that seemed dull i mean he had no questions afterward
Today, i explained the 3-D graph concept to my dad :), I told him about the way adding the third axis worked and how it would affect the coordinates. He didn't have any questions as it was a simple concept. I <3333 you ms. l, (- not britt brit :)
Well, I went about to explaining how to graph linear equations in three variables to my uncle. He had been in high level calculus and at first didn't comprehend the material. However, after I began to explain my graph he realized he already knew how to graph the ordered triple. The concept that had thrown him off was the fact that my graph didn't show negative integers and so he didn't understand which axis was which. Otherwise the assignment was a success, and my uncle had complete understanding of the material.
After school on the bus I tryed explaining this to a girl in Cba. She had a confused "why am i doing work on the bus look" What i did best was making it look interesting. WHat i could of doe better was not tell her it was math first. She had no questions because she wasn't intrested in school things after school hours. then i asked a 11th grader and she was confused then i began to explain nd by the time i was done she said she remembered learning that and thanks for refresing her memory.
I explained the concept to my mom. Personally, I think the best thing I did was give a very thorough explanation. What I could have done better is made my graph a little neater so it would be easier to understand. However she had no questions. Also, I do not have any questions.
I explained the 3-D graph to my 11 year old sister. She didn't really grasp the concept until later, but she understood it fully. I could have explained it better, but I didn't have the time, sadly. No questions were asked, after I was done explaining it.
I attempted to explain the 3D graph concept to my sister who has just begun middle school. I think I did a fairly well job explaining everything to her. I think I should've revised the concept to myself before I explained it to her so that it couldve been easy for her to understand. But in the end she grasped the concept and had no questions.
I explained this to my friend who is taking Geometry 1 Hon. Im not the best at explaining so it took some time, (my triangle kinda got crushed too) but he eventually got it. He said the book was better to use for him. He didnt have any questions.
I explained the 3-D graph to my mathematically challenged mom. it helped that I showed her the graph we made in class. Since she understood the regular (x,y) coordinate plane the z- coordinate came easy. It would have helped if I practiced what I would say to give her a better perspective, but she didnt have any questions
I explained the 3-D graph to my sister. After I finished explaning it to her she understood it. All I had to do was tell her step by step how to do it and not go to fast in explaing, which i would ebd up doing every so often. But she got the main point on what i was trying to teach her.
I explained the concept of adding a z-axis to my mom. I went through the material thoroughly, starting with the basics of graphing with one axis and making my way up to three. She understood the idea completely. The visual provided by my instructional tool was very helpful. No questions were asked.
I explained it to my mommy, and asked her somequestions first about the regular (x,y) graphong and she understood, but it took a couple explanations for her to get the third variable and how to graph it. She could've gotten it erlier, bu was preoccupied with dinner.
Today i explained my 3-D graph to my aunt that i live with.At first she had a difficult time understanding, but when i broke it down to her and showed her the steps that i took while understanding, she finally got it.She had no further questions after that.
I explained my 3-D graph to my brother who is younger then me. I explained it step by step and i also showed him the model that we made in class. After i finished explaining it to him he had no questions and even graphed a coordinate triple by himself.
I explained 3-D graphing to my seventh grade friend, Andy. At first, he didn't seem to understand, but he got the concept after I had explained it a second time. The creation we constructed in class certainly was effective in getting the point across; he didn't comprehend the paper graph until taking a good look at the 3-D product. I explained that part the best; I could have improved in demonstrating how to plot on a graph had I made my intervals a little wider apart. He seems to think it's a concept that can be taught in middle school. Frankly, I agree. I have no more questions at the moment.
I explained the concept of the three dimensional graph to my mother. I started with graphing on two-dimensional graphs, and then went on to the three dimensions. I also explained a coordinate triple to her. I could have used a computer program to display this so she could better understand the numbers and such. No questions.
I explained this 3-D graph thing to my neighbor next door. He is in elementary school but some what grasped the material. I guess i could have had more patience with him because i got annoyed that he didnt understand it. He didnt ask any questions
I explained my 3-D Graph to my best friend and she understood it very well. I explained the additional plane and what it is used for and how to go about graphing a point on it.She did have a question on how you would graph this on a 2-D piece of paper but other than that, she understood completely. The one thing I should of done was put numbers on the axis to make it easier to read.
I explained the concept of my 3D graph to two types of people. First, I explained it to a former Algebra 2 student who understood it in no time. The second person was my sister who is taking Pre-Algebra. She, however can hardly under stand an xy graph so I figured it might be difficult, plus she wasn't really interested, so I gave her and incentive (I let her throw grapes at me). After first explaining an xy graph, I eased her into a third coordinate, since she was actually listening she finally understood (Although I did get hit in the face with grapes). What I think I did best was use hands-on, physical examples, but I could have had a more thought out process to explain it, for it was kind of disorganized. Now neither of us have any questions.
When I came home I explained the graph in 3 points to my sister who is in 11th grade and also starting Algebra II. I used the model we made in class and she didn't have any questions but she thanked me since she will soon be learning this also.
I explained my graph to my friend Rebecca, a freshman at DBHS in geometry. She looked confused at first but in the end I helped her understand. The only thing I had trouble with was explaining how to plot the actual points on the graph itself.
I explained this to my friend who is taking Geometry. She had a difficult time understanding how to graph in 3d on a 2d piece of paper, but after I showed her my 3d model, she got it. I think I did a good job explaining it to her, but I probably should have reviewed the concept before.
Today, I taught my mom to graph using three variables. I found it rather difficult to explain to her at first, but she understood in the end. She was quite enthusiastic about learning it as well.
i explained how to graph three dimensionally to my dad.He was impressed by the model and said that it really helped to explain the concept of three dimensional graphing.
I explained this to my mom and it took a little time because i had to refresh her with the concept of an xy graph. after that, it was simple because the only thing i had to do was add the z coordinate. she isnt that good at math, but i think i explained it well because she didnt hav any questions
I explained the 3-D graph to a sophomore who is currently taking pre-calc. He understood the concept. No questions were asked. I think I would have done a better job of explaining it if I would have explained it to someone who had never heard of the concept.
Explained it to my mother basically. did not need to explain further she knew the details.
I explained the 3D to my sister who is in pre-algebra. I showed her how it worked and gave her a point to graph. I took it step by step by showing her to first find x, then y, then z. She hasn't done much with graphing (being in pre-algebra) but she did understand the concept rather well. She understood it well because the 3D graph was actually something she could see off of paper, which helps a lot. So, what I did beat was taking it slowly, step by step, and showing her the graph hands on.
Today, I explained the 3-D graph to a senior in japan club. She looked at it a begged me to explain it to her. She enjoyed the explanation. After I finished, she had no questions and I feel I couldn't have done it any better.
I chose to explain this to my little sister, who is in 6th grade. She was a little confused as to how to plot the x coordinate, but after I showed her on my 3-D graph she understood. After I explained everything she had no questions.
I ran through the concept of three-dimensional graphing with my grandmother (who can see by the way!), and seeing as how any mathematical concept seems to be way over her head these days, it took her a while to finally understand this theory. She found that the graph we made in class was actually confusing, and comprehended the idea a lot better when I showed her 2-D examples. My best quality while explaining was talking really loudly and slowly so my grandmother could better understand me. I could have perhaps been more patient with her to better my teaching skills however.
I taught my sister who is currently in algebra 1. i found it sort of difficult to explain, but my sister seemed to have got it. after the explanation she decided she wanted to make her own. she is now looking foward to taking algebra 2 and doing hands on activities (:
I explained my 3-D graph to my friends little brother in middle school.I did good at explaining to him the concept of the 3 axises, the x, y, and z axis.I explained how to plot the points by breaking down the ordered triple.He understood completely.He even made is own 3-D graphing object(like mine) and plotted several points on them.He had no questions.
I used my model to explain the xyz graph to my brother, but he already knew it. I think I could have explained it a little better to help others visualize it easier. I had no questions about the xyz graph afterward.
I explained it to my dad today. it was very easy because he knew it and understood it.
I explained my 3-D Graph to my mother, who thought it was a "cute" way to teach the Z-axis. She had no queations after my explanation.
I taught the skill to my dad. I did it systematically and he understood easily and completely. I say it worked and I wouldn't do it any other way.
I taught my dad the 3D graphing. He said that he uderstood it perfectly.I think that in explaining I used simple understandable statements and my dad was able to figure it out. I could of shown him all the steps of solving three variabled equations to increase his understanding. I don't have any questions and niether did he.
I had no problem what so ever. My dad did understand what I created and was actually able to recreate the same 3-D graph. The only thing that my dad questioned was the size of the 3-d graph.
i help my friend who is an IB student. he was confused when i showed him it and he walked away from me and told me it was stupid....i had fun teaching him
I explained the 3-D graph to my sister in 6th grade. At first I explained without the model to see if she could understand it but she had some trouble. I then demonstrated it to her with the straw on our 3-D graph and she had a complete understanding. I would probabaly use a 3-D object such as a book to explain it better.
Yesterday i explained the 3-D graph to my cousin. She looked at it at first like she had no clue what it was, but then after i explained it she understood it better. One question she had was why the bottom half of x-axis was positive and the top half was negative. But other than that after i explained it, she understood the 3-D graph.
I showed the graph to a sixth grader on my bus but he didn't know how to do two dimensional graphs so i explained that to him but he had to get off before I could start on the 3-D graph so I explained it to another IB student who was in a lower level math class.
For my homework, I taught my mom about 3-D graphing and about graphing(X,Y,Z). She had a basic understanding of it, but I did have to break it down for her because she hasn't done algebra in a long time( More than 20 years) the model did help. She said the thing I did best was using the Model to apply how to graph (X,Y,Z) Coordinates.
I explained the graph to my friend on my bus. He seemed to understand because by the end he was finishing my sentences. Overall he understood very well and the graph we made helped a bunch.
I explained our 3-D graphs to my mom. At first, she had no clue what I was talking about, because math isn't her strong point. When I showed her the 3-D model, she told me it sort of made sense and she understood what I was saying. She told me that was the best thing I could've done and had no questions. Through teaching my mom this lesson, I discovered it was to my benefit to explain it to my mom, because it helped me grasp the concept more.
I told my little brother how to graph things on a 3d graph,at first he looked extremely confused as i did when i first learned it.He could not wrap his head around there being another axis. He thought i made it up so had to find it in the textbook and show him it.Then he finally accepted the z axis. After all of this however i still had to clarify something because he was still a little confused. All in all this was an experience i will never forget.My bother is in 7th grade.
For this homework assignment, I taught my friend how to plot points on a three-dimensional graph. This teaching experience was very fun and exciting to me because it allowed me, only being a student, to teach someone something new. Foremost, teaching this concept to my friend was very satisfying because I know when my friend's teacher presents this concept to her she will already know how to do it. Therefore, she will be ahead in class and the class will be even easier for her.
I explained it to my little sister, she is eleven and in the sixth grade. At first she looked totally bewildered for she did not get the concept.
I guess that first part should have gone slower, I explained too fast for her to understand, that was my fault.
However when I took out the visual and she saw it, it was soooo much easier! It amazed me how fast she got it then.
Then we did my homework together, and I learned from her mistakes and my own. And the confidence i gained from explaining it to someone who didn't know it was amazing. IT ACTUALLY HELPED ME IN THE LONG RUN!
Fo my math homework assingment, I showed and explained my math 3-D graph and its components to my friend who is also an algebra 2 student(not in same class as me). He understood the material pretty well because that was the second time he was taking that class and he told me that I did a good job at explaining the material to him.
I had explained it to my friend. At first he didn't understand a word I said, but after i showed him my 3D model he got how to do it. He says when a teacher starts teaching it he will already know what to do.
I explained my graph to an eighth grader on my bus that's taking Geometry and wanted to see what Algebra I was like. She thoroughly understood it, and figured that it would be great for architects and jobs of that sort. I didn't have any questions either.
I explained my comment to my mother, she did understand it but felt a little confused. I think that i explained the third axis part best, she really got that. I could have explained the plane part better tho and how it goes on forever. I do not have any more questions.
I explained 3-d graphing to my brotheer who is in 6th grade. He is currently learning two dimensional graghing so he could grasp the concept a bit easier. He understood that the point had to be floating in space, it was just hard for him to see it on a 2-D scale.
I explained the 3-D graph to my little sister. She's in eighth grade and understood how to find x, y, and z, but had trouble visualizing the three planes. After I explained the coordinate triple to her she understood completely.
I explained the concept to my sister who is in 5th grade. She understood from the start. I think that I helped her comprehend it a little better because I did it in comparison. I started by telling her about the number line and how the coordinate plane was only two number lines put together (which made it 2-dimensional). So she understood how three number lines would make a graph 3-dimensional. I'm just glad she didn't ask me to explain the concept of FOUR number lines. (Because I don't know. XD) The 'tool' we made in class was an excellent example, which made it even simpler for her to understand.
I explained 3-d graphing to my father who understood it so/so. I told him about the graphing in 3-d which gives the point a 3-d look. As if it's in your face. I went step by step and I explained it to him. But he still didn't understand why you couldn't just keep an X,Y instead of X,Y,Z. I understand what he means
I explained it to my my mother. I had to give her a brief overveiw of graphs bt after that it was pretty easy for her to understand. I had to go step by step and i explained it the way i was taught. my graphing could have be neater but all that matters is that she got the concept a little. she still had a little trouble understanding the z axis though.
I tried explaing the 3-D graph to my friend and she stared at with sarcarism because she took algerbra 2 already. I tried to get the look of her face like your not explaing anything new but, it didn't happen.
When I did this assignment,I explained it to my mother. I made sure that I went through everything nice and slowly,so she would grasp the concept. Math is not her favorite subject,but by the time I was finished she understood how to do it. She had no questions really.
I explained my 3D graph to my friend Christina on my way home from school. She was really interested in the graph, I think it was because she's a visual learner. She understood the grph without questions because she's a strong math student!
I explained 3d graphing to my stepmom. At first she didnt know what i was talking about, but then she knew what i was saying but didnt remember how to do it. So i gave her a quick review about it and introduced it with the X, Y, and Z axis. And after about a half an hour, she remembers how to do it, and thanked me.
Well to start out i explained it to my dad what graphing in 3-D was and he simply said "alright" when are you going to use this so i read an example of this out of the textbook and then that was that.
When I did this assignment I explained it to my grandmother. Since she is a teacher she grasp the concept pretty quickly. Once I showed her the model I made in class she understood even more
I explained it to a girl at my gym. At first she didn't understand it, but then i explained it again slower and she then did. She had no questions. I feel like i did a good job explaining it, but i shoul have explained it better the first time.
Post a Comment