TI-89 vs. TI-Nspire CX CAS Review

Download: http://flavarnamu.datingsvr.ru/?dl&keyword=ti+nspire+cx+cas+serial&source=pastelink.net

Reason: Added a link to the stickied Guide. Note that a regression algorithm is not appropriate for this problem.

On a turn you can toss as many dice as you like. When I taught CS, I used this problem as a great graphics programming project, but did not know the general function until now Dec, 2008. Functions are included for TI-nspire and 68k-models.

TI-89 vs. TI-Nspire CX CAS Review - I try to optimize my scripts as much as I can so that programs run fastly and smoothly, just like every computer user wants.

The TI-Nspire Collection This page is now a history lesson on the TI-Nspire! Some of the files near the bottom of the page date from 2007. Some of these files are obsolete: the feature is now included in the operating system - things like polar graphing, slope fields, selecting a subset of collected data available in the DataQuest app , etc. Use the slider to increase or decrease the number of darts tossed. A 'hit' is inside the quarter-circle. The ratio of 'hits' to total is used to approximate PI by multiplying the ratio by 4. Controlled by a program running in a Notes app. There are two problems in the document: the first uses ordinary parametric equations; the second uses scatterplots. The scatterplot method for generating parametric curves gives you awesome control over the domain of the parametric functions: tmin, tmax, and tstep can be defined as variables and even controlled with sliders. Problem 2 has a slider for tmax which results in the effect of actually 'drawing' the curve dynamically. An interactive demonstration of Archimedes' derivation of the area of a circle and the first accurate approximation for pi circa 225BC starting with a regular pentagon and the Golden Ratio phi then doubling the number of sides in each step. This demo is based on in The Mathematics Teacher March 2006 by Stacy Linn and David Neal. In this first one, grab the black point and move it around. In the second Lua , click-n-drag to move the black point. This identical Lua version in Problem 2 is much faster! It's in Problem 3 of the doc. Just click somewhere to select c s and make a new image. Tip: points near the edge of the Mandelbrot set make the most interesting Julia sets. Julia4 has a movie! Just click to start or stop the tour. Originally a demo app written by Marc Garneau, GridPaint lets you color in the squares in a grid with the colors along the bottom of the screen. Click a color on the palette then 'paint' the squares. Behind the scenes, the app keeps track of the number of squares with each color and a spreadsheet on the following page reports that data. The purpose of the project is to provide a platform for teaching younger children about fractions, decimals, and percents using the painting process. Various grid sizes are available including 5x5, 10x10, 16x10 shown , and higher resolutions from the menu and the app works equally well on all platforms: handheld, computer, and iPad. On a handheld you can click-n-hold to lock down the mouse cursor and then paint away by using the touchpad. On the iPad just touch and drag. This doc contains a program that works with the TI-Innovator to produce musical notes using either the computer keyboard or the handheld keypad. The tune is 'recorded' and can be played back. If you know about working with lists you can save your compositions into different lists for posterity, too. The first page is an important title page a Lua app that determines the device and then comes a Notes page explaining the keyboards PC or handheld and, finally, a Calculator page where you run the program piano17 with no arguments. Illustrates the power of the new getKey and DispAt commands in TI-Basic first available in OS v4. For better louder sound, try a 'BoomTouch' portable speaker with your TI-Innovator. This clever little device picks up the TI-Innovator's weak audio and amplifies it without wires or bluetooth! Uses 'near field audio' amplification. Inspired by an article found in Hemispheres magazine found on United Airlines flights in March of 2017. The article is included as an image in the file. There are two geomettry constructions that behave differently. In one shown at the right you can move plane to change its altitude in feet along a tangent to the circle representing the earth and observe the distance to the horizon in nautical miles. In the other you have control of the altitude of the plane using a slider for greater control and then observe the distance to the horizon. The interesting thing about the magazine article is the author's use of different units feet, meters, and nautical miles - thus requiring some conversion formulas in the constructions and the real heart of the discussion is the application of the Pythagorean Theorem. See if you can re-create the construction. The slider m controls the density of the shading and the function in r1 theta is editable. The program contains a lot of trig mathematics: converting from number-of-segments to radians, converting from polar to Cartesian coordinates, and storing into lists to create a 'disconnected' scatter plot. The program runs in a math box on a Notes app to dynamically refresh the 'shading' when the sliders change or when the function is edited. The instructions are on page 1 of the file. The simple 'trick' is to use a connected scatter plot with 'void' elements in the lists to create the separate line segments. With special patterns, the next logical step is to write a program to create the lists and, perhaps, sliders to control the data! For more in-depth material on the curves defined by string art see on the T3 Australia site from the Victoria Year 11 'Specialist Mathematics' course thanks to Peter Fox p-fox ti. This document investigates mixture problems from a 'mature' point of view. If you have two alcoholic beverages of different proofs, such as wine and scotch, in what proportions should you mix them to get a desired strength cocktail of a desired size? This document makes liberal use of CAS and interactive graphing to investigate this mixture problem. Something you won't find on TI's activities sites. April 2014 This little Lua project was a group effort see the file for credits. The object of the 'game' is to get all the frogs on the left to hop to the right and all the frogs on the right to the left. The frogs can hop to an empty pad or hop over one frog. Click or tap on a frog to make it move. If a frog doesn't move it's because it can't. See the menus for setting options. The object of the 'puzzle' is to determine the number of moves required if the game contains n frogs. There are two versions in the file. Version 1 plays with the same number of frogs on each side and version 2 allows for a different number of frogs on each side. The file plays well in the computer, handheld and iPad. November 2013 So simple you can use it with your eyes closed! And that was the intent: to test your mental timing skills by closing your eyes, start the timer, count off a number of seconds and stop the timer. Check your mental count with the timer's result. How close were you? Only one 'action' controls the entire Lua app and there's no menu, either. Any combination of actions also works well. This file does play well on the iPad, too. On a turn you can toss as many dice as you like. The total of the dice is your 'points' for that turn which is added to your 'score'. The goal is to reach a score of 100 in as few turns as possible. What's the best strategy? The game keeps track of your scores and there's a page displaying a histogram of your scores. It also keeps track of your best score. The menu allows you to clear the best score and the list of scores. This file does not play well in theiPad due to the intensive keyboard input. It only took an evening of coding Lua to produce this and I am very happy with the result. I've written this program in every language I've ever had the pleasure to have known. But it does not play in the online Document Player and probably doesn't work well on the iPad either, due to the keypad entry. Instructions are on page 1 of the file. There are now three versions of the game in the file... The second one uses a scrolling textbox for the clues rather than the blue graphics that you see on the right. It will be easier to expand this version to allow for more than three digits in the game. Version III in the same file lets you play with 3, 4, or 5 digit numbers! Note the progression of the code in the three apps. August, 2013 This document requires CAS. I've long wondered what the regression algorithm behind QuadReg, CubicReg, and QuarticReg is. It took me this long to look it up and I was pleasantly surprised to actually 'understand' it to a point. The result is this pair of programs and a demonstration of their usage embedded in this document. The program polyreg xlist, ylist, degree performs a polynomial regression of the desired degree on the dataset xlist,ylist. The polynomial expression is then stored in the variable regeq so that it can be used as the definition of a function to graph or analyze. The program makes heavy use of matrices and lists and needs CAS to build the function in terms of x. The source code is exposed in one of the pages of the document. As an added bonus, there's also a program called polyfit xlist, ylist which is nearly identical to polyreg but only determines the n-1 degree polynomial for a dataset of n elements. Both programs are used on the demo page which is illustrated on the right. There's no error handling, but when the algorithm fails to produce a result you'll see 'Singular Matrix' as it's output and the graph is not updated. At the heart of the game it displays some random black dots. The player's task is to react when she first sees red dots. The number of red dots displayed before reacting pressing enter, clicking or tapping on the iPad represents the 'reaction time'. Each player gets a set of rounds to play. At the end of the game the players compare their one-var data on page 3 containing a spreadsheet with the data, a box-n-whisker plot and a computation of the mean scores of each player. Other analyses are then possible using the two lists created by the game. Menu options in the game include a 'reset' which clears the data and starts the game over and an option for setting the number of rounds per player. I purposely left out the core instruction about the black-to-red dot change so that kids can figure it out on their own. This file works well 'anywhere': computer, handheld CX due to color , iPad, and the online Document Player. Special thanks to Andy Kemp who created a reaction time game and thus Nspired me to take on the project and, not coincidentally, provided a lot of code to the effort and BIG THANKS to Steve Arnold's. Comments and suggestions welcome, especially for the non-color handhelds different shape? If f1 x is greater than f2 x on a,b then you could consider this an indication of the 'area' between the two curves. You can change the functions, the viewing window and drag the points a and b or edit the coordinates to define the interval. The driving force is a program running in a Math Box to create the scatterplot for shading purposes a collection of line segments. Thanks to for the disconnected scatterplot trick. Neither version works well on the handhelds because the scatter plot is regenerated each time a or b changes so it is too slow. This versions performs a little better but not great on the handhelds. This file requires version 3. In this version the Lua app monitors a few variables on the graph page and updates the scatterplot when needed. You can even transform translate or stretch the functions! Don't try this on the handheld. I'm sure it's too slow. Best used in handheld view in the computer software, but computer view gives better resolution. The Lua source code and other documentation is included in the tns file. This was written before the Script Editor was available. You have control sliders for the angle of the plane with the x-axis and the z-intercept of the plane. Take a look at the equation of the plane to see how to convert 'angle' into 'slope'. When a slider controls slope, small values lose detail and large values move slowly. When you drive the angle, everything works smoothly. Greater control of your polar and parametric graphing Looking for a way to control the rate at which polar and parametric graphs appear? These two files let you expose the graphs using a slider. The polar slider even goes from a negative value to a positive value. The polar graph is defined as r1 theta but the graph is produced by a parametric relation. I'll be working on another method. This version is interactive. Clicking the uparrow or downarrow on the slider on the Graph page increases and decreases the number of points plotted. Uses a program running on a Notes page. By request of the science folks, I have written a 'select' program for the TI-NSpire. You graph a scatter plot of your data then place and move two points on the screen to choose a range of data to extract. Run the select program and it will create two lists, temp1 and temp2, which contain only the desired data. More detailed instructions are included in the file, including the procedure for making this a Library program so that you can use it in your own documents. This file works on both the TI-NSpire and the TI-NSpire CAS. The document is used to produce slopefields for differential equations and is a little easier to use than the Slopefields document that you will find further down on this page. I have produced a that explains the use of this document. Be sure your audio is turned on so you can hear the explanations. My TI-Nspire CAS file used at the 'From Our Classroom to Yours' Conference, January 31, 2009 at the William Penn Charter School, Philadelphia, PA. This classic probablility problem is based on the 'prizes in the box' issue: if there are N prizes in the collection, what is the Expected Number of boxes of cereal you need to buy in order to collect all of the prizes? The TI-Nspire CAS document utilizes a program, soggies a, b, t , that performs a simulated sampling of boxes the number of prizes in the set ranges from a to b until all the prizes have been collected and stores the number of prizes and the average number of boxes needed into lists that are used to create a scatter plot of the data. I also include a brief analytic explanation of E N , the expected value for N prizes and a function that graphs the expected value function over the scatter plot. Despite the appearance of the image on the right, this is not a linear function! I am very happy to have had help from Lee Kucera, Marc Garneau, especially , and on the derivation of E N. When I taught CS, I used this problem as a great graphics programming project, but did not know the general function until now Dec, 2008. A big THANK YOU to the WWW! Use this activity when making the transition from calculating the slope of a curve at a point to determining the derivative function using the definition of the derivative as the limit of a slope expression. It is one of those 'aha' moments for some students. This document explores programming in the 'TI-Basic' language built into the TI-Nspire. First introduced in 2008, the Program Editor allows you to write programs right in the handheld. The TNS file covers an overview, basic programming concepts, and some stuff beyond the bascis such as lists and graphics. Also, see the later on this page. The Notes page also explains how to use the desolve command on a Calculator page to solve the differential equation and how to make that function's graph go through and be controlled by the initial contition point graphically. Very powerful interactive graphics here! The Slopefield program was originally written by Doug Roberts. The tweaks to slopefield , the IC program, and the desolve technique are my work. There are other ways of generating slopefileds. If you are interested in them, email me. Click the image on the right to see the Flash movie. This document has an implicit function graphing program in it. The graph produced is actually a stat plot. Instructions are contained in the Notes page in the document. The example shown here is demonstrated on the Calculator page. Note that there is also a very efficient method for graphing implicit relations using the zeros function in the CAS unit, but the numeric unit does not have that function. Generates strange pictures as you move a point around on the graph page. How does it work? I found this problem at the NCTM Regional Conference in Richmond, VA. Credit is found in the file. The problem is to find a transversal that divides a particular isosceles trapezoid into two equal areas. There's also an interesting extension that's not discussed in the file. Can you figure out what I'm thinking? This demonstration generates the Sierpinski Gasket using the 'chaos game' method via a program, sierpinskichaos n , where n is the number of points to plot. There's not much documentation in the file yet, so here's what to do: On the Calculator page 1. You can change the 4000 to any whole number less than 4095: it is the number of dots to generate. Then look at page 1. Note: you cannot use a value larger than 4094 because that is the size limit of a list. How it works: the program generates two lists, L1 and L2, that contain the coordinates of the points to plot. So the graph screen has a stat plot set up to graph L2 vs. Well, it's the same technique that we used in the Slopefield file above. This zip file contains TWO versions of the activity: a student copy and a teacher copy. Several problems are included in both files. The investigation of the residuals plot is also addressed and the CAS derivation of the mathematical model is included in the teacher file. This paper-folding problem was originally presented by Arne Engebretsen. This document, originally built by Dr. Stephen Arnold of Kiama, NSW, Australia, contains a very slick geometry construction simulating the folding of the upper left corner of a piece of paper down to the bottom edge. I tweaked the shading a bit, changed the dimensions of the paper, and limited the movement of point H. The problem is to find the fold - determined by the location of point H - that makes the area of the triangle formed in the lower left corner a maximum. Steve has additional TI-Nspire resources at Here's another problem related to paper folding: if you fold a corner of the paper to the opposite side, determine the shortest fold length. This problem can be tackled analytically in several different ways. How many different ways can you arrive at the soution? Can you see why the height of the paper is not an issue? In the file on the right page 2 , you can drag point Drag to change the length of the fold L and the distance from the lower left corner of the paper to the point Drag w. The document contains pages of notes, this construction, a spreadsheet for data capture, a graph for the scatter plot, and CAS. Note that a regression algorithm is not appropriate for this problem. Finally, can you generalize the result for any width of the paper? Yes, the novel by Lewis Carroll. Just to inform those English teachers out there who wonder why their students are using TI-Nspire to take an exam in their class. Each chapter is on a separate Notes page and the file is only 60. TI-Nspire allows for graphing of parametric, Cartesian and polar graphs on the same axes. What happens when we trace a point in both Cartesian and polar coordinate systems? The coordinates of D and the converted radian-degree angle measure is on the screen, but not 'r'. The clever mathematical conversions are hidden, but easily exposed. Do you know that you can graph polar functions in parametric mode? This file does work in all versions of TI-Nspire. If you are using version 1. The point P is not really 'on' the graph anyway. This program demonstrates the power of recursive programming. When you run the program you will notice a delay in the display of the output of the program until the program has completed. I guess that's a feature, not a bug. I've tried it in the Computer Software with 10 disks resulting in 1023 moves. How many disks does it take to get a 'Recursion too deep' error? I have another version that displays the move number, but it requires an external, global variable. If you can't get it to work by yourself I can send you a copy. TI-Nspire DOES have a sequence graphing mode! See Graph Type in the Graphs application. While the TI-Nspire does not contain a 'sequence' graphing mode, it does have the ability to generate sequences yep, even recursive sequences and series sequence of partial sums using the Lists and Spreadsheet app and then you can graph the resulting scatter plots. This document explains the seqn function and how to create a sequence of partial sums. It also includes an interesting problem: the limit of the sum of the reciprocals of the Fibonacci numbers. A study of the predator-prey mathematical model using the Spreadsheet and Scatter Plot tools. The document allows the user to drag point Init in this picture to change the initial populations of Foxes and Rabbits but you have to recalculate the spreadsheet manually and allows you to edit the growth factors on the SS page. The next version of this document will have sliders on the graph page to control those growth factors. See version 2 below... It also has a modified function for the Rabbits which incorporates a logistic growth rather than an exponential one. This model is very sensitive to the variables BR, DF, and AA. I've concluded through examing some Java applets online that there are just not enough data points available in the TI-Nspire 2500 to see the end behavior of the system. This version only graphs 500 data points. You can produce more data by copying and pasting the last line of the data set in the spreadsheet in row 500 down to row 2500. This file uses a spreadsheet to calculate the monthly payment on an amortized loan, displays the amortization table in the spreadsheet and then displays a graph of the principal payments and the interest payments. Useful to illustrate the TVM principal and the advantage of shorter term loans. What are they, you ask? Well peek inside this file and see. The image to the right is a simple Lissajous curve, the result of a 2-axis pendulum under resistance-free movement. An important feature in this file is the use of Marc Garneau's method of graphing parametric relations using lists that do a better job than the parametric graphing mode. It gives you better control of the T-Step value as well as Tmin and Tmax if you like. The conjecture is this: Every Natural number can be uniquely expressed as the sum of a set of non-consecutive Fibonacci numbers. I get the 'non-consecutive' part, but the rest is a mystery to me. Write a program that displays the Zeckendorf Representation of a Natural number considering the limitations of the machine you are using. The image to the right is the output of my program which easily handles 'very large' numbers the 1000 th Fibonacci number is over 200 digits. If you'd like a copy, though, you'll have to. Try it yourself first. Louis, a former student of mine! A vertex of a triangle is at the origin and one side is on the x-axis. The third side passes through the point 1,1. What is the slope of the third side if the area of the triangle is to be a minimum? There's another restriction, but you'll figure it out. This is a neat optimization problem that lends itself well to Data Capture and a CAS solution. Note that the built-in regressions do not apply to this problem. Lots of great algebraic manipulation going on here. Gene Olmstead offers two other optimization problems: What line makes the minimum perimeter of the triangle and what line makes the shortest third side, the side through 1,1. Gene says that all three of these have geometric proofs. The file does not contain a complete solution. If you need one,.
Gene Olmstead offers two other optimization problems: What line makes the minimum perimeter of the triangle and what line makes the shortest third side, the side through 1,1. With graphing, I love the fact that there are fewer commands to learn in order to find extrema and intercepts. What are they, you ask? It also generates truth tables and provides proof functions. Dynamic Linking across documents and multiple representations allows students to interact directly with the math by seeing how manipulating one form simultaneously changes all the others. I've long wondered what the regression algorithm behind QuadReg, CubicReg, and QuarticReg is.