Autograph VideoTutorials

Autograph 3.3 (Student Version)Installation Instructions

Click on the link below to download Autograph 3.3 (Student Edition)

http://www.autograph-maths.com/downloads/windows/student/Autograph3.3Student.exe

Installation Guides

FOR PC USERShttp://www.autograph-maths.com/downloads/windows/

Autograph3.3StudentEditionInstallation.pdf

FOR MAC USERShttp://www.autograph-maths.com/downloads/mac/

Autograph3.3StudentInstallationGuide.pdf

Mr Barton’s Video Tutorials (Mostly GCSE)Click on the hyperlinks below to access video content

1) Selection and Shapes - In this first video we look at the issue of Whiteboard Mode and how we go about creating basic shapes 2) Reflections - In this second video we look at three different ways of doing Reflections in Autograph 3) Rotations - In this third video we look at how we can carry out Rotations in Autograph. See Video 20 for an nice animated twist with Rotations! 4) Enlargements - In this forth video we look at how we can carry out Enlargements in Autograph which also leads us to our first viewing of a Dynamic Text Box! See Video 20 for an nice animated twist with Enlargements! 5) Translations - In this fifth video we complete the set of Transformations by looking at how we can carry out Translations in Autograph. Mr Barton also sorts out the screen size issue! 6) Combining Transformations - In this sixth video we look at how we can use Autograph to combine Transformations, and there is even a little puzzle for you to have a think about... 7) Edit Axes - In this seventh video we take a closer look at the Edit Axes menu to get our Autograph page looking exactly how we want it 8) Christmas Treat - A Special Christmas Edition of Mr Barton's Autograph Videos which has a look at the online Autograph Player (with a festive twist!). To have a play with the file yourself, just click here 9) Measuring Angles - In this ninth video we look at the basics of measuring angles in Autograph 10) Working with Raw Data - In this tenth video I deal with a request from Lucius Evans who wanted to look at some of the Statistical functions on Autograph. Here we look at some of the things you can do with Raw Data, including dot plots and box and whisker diagrams. More stats to come next week! 11) Working with Raw Data 2 - Following a suggestion from none other than Autograph creator Douglas Butler, we take another look at some of the things you can do with Raw Data on Autograph, including quickly creating a data set 12) Working with Raw Data 3 - Douglas Butler returns again! This time with a great suggestion for introducing the Normal Distribution via a look at the fascinating world of IQ. The also encompasses Autograph's wonderful scaling option for nasty looking data!

13) Working with Raw Data 4 - In a jam-packed edition we start to look at how Autograph can group raw data for us and how this opens up a whole new set of possibilities in terms of mathematical diagrams, including cumulative frequency curves, histograms and stem and leaf 14) Valentines Day Special - In a special "loved-up" edition of Mr Barton's Autograph videos, we look at a romantic (mathematical) alternative to chocolates and flowers to send to the love of your life to let them know you care. Happy Valentines Day! 15) Working with Grouped Data - In our final look at data for a while (you can have too much of a good thing) we tackle an issue with commas and how to alter the sizes of your groups. 16) Working with Grouped Data 2 - Yes, yes, I know I said last week was the last data one, but a request came through on the emails, so I thought I had best cover it whilst we are on a roll! So, this week we look at different ways of entering grouped data, another way of comparing data, and we take another look at the Results Box. 17) Angle at the Centre Theorem - This week we take a look at how to construct Circle Theorems using Autograph, beginning with the Angle at the Centre Theorem. We also see how understanding this theorem leads us to another theorem for free! Autograph's dynamic nature makes it perfectly suited to demonstrating circle theorems to your students 18) Angle at the Centre Theorem Twist - Whilst we are on a roll with the Angle at the Centre Theorem, why not have a quick look at a nice little twist? We can use Autograph to set up some circumstances where the theorem doesn't seem to work. Has maths been broken, or can your students figure out what is going on?... 19) Cyclic Quadrilateral - This week we look at our second Circle Theorem - the classic Cyclic Quadrilateral Theorem. After quickly constructing and demonstrating the theorem, we also have a look at a nice little extension question involving parallelograms.. 20) Animation Special - In a special edition of Mr Barton's Autograph Videos we look at the use of Autograph's very impressive Animation function and how you might use it in the context of angles, points and transformations. 21) Angles in the Same Segment - This week we look at our third Circle Theorem - the classic Angles in the Same Segment Theorem. There is also a quick demonstration of how to set up a nice looking label for points, and a twist that you might want to try on your students. 22) Alternate Segment Theorem - This week we look at our fourth Circle Theorem - the notoriously difficult Alternate Segment Theorem. Can Autograph help us understand when this theorem works and when it doesn't? There is also a look at how to construct tangents

and a sneaky way of measuring angles. 23) Two Tangents Theorem - In a jam-packed edition of Mr Barton's Autograph Videos we look at all things to do with Tangents, including the Two Tangents Theorem. This also leads us to discover a slick way of marking the intersection of two lines on Autograph and how to measure the length of line segments. 24) Easter Special - Egg-sactly what you need this time of year - an Easter themed Autograph video. Here we take our first proper look at Autograph's very impressive 3D engine and how you can use it to create planes and rotate curves around lines to make 3D objects. Happy Easter! 25) Straight Lines - Here we look at two different approaches to investigating the equations of straight lines on Autograph, both of which make good use of Autograph's excellent dynamic textboxes, and one which uses the Constant Controller 26) Parallel and Perpendicular Lines - This week we follow-up our work on straight lines with a look at how you might tackle the topics of parallel and perpendicular lines on Autograph 27) The Gradient Tool - Following on from the last couple of weeks where we have looked at straight line graphs, this time we take a look at Autograph's excellent Gradient Function. We see how useful it can be for studying straight lines, and as a way of introducing older students to the joys of differentiation and calculus 28) Scatter Diagrams - Seeing as we are now experts with straight line graphs, this week we look at how we can use Autograph to study Scatter Diagrams, Lines of Best Fit and Correlations 29) Finding the Line of Best Fit - Following on from our work on Scatter Diagrams, we take a look at how the Line of Best Fit is calculated. This provides a valuable link from Key Stage 4 maths to A Level Statistics as Autograph is able to clearly demonstrate the method for finding the least squares regression line 30) Vectors in 2D - This week we look at how we can use Autograph to model Vectors in 2D, including the multiple of a vector and adding and subtracting two vectors 31) More Vectors in 2D - This week we take a look at how we can make the study of vectors in 2D more dynamic, which culminates in a suggestion for a nice little starter activity that you can try on your students 32) Autograph in 3D - In preparation for the next few videos, we take a look at some of the important tools needed for getting the most out of Autograph's unique 3D engine 33) Cubes and Euler - This week we learn how to construct a 2x2x2 cube in Autograph, which will come in very handy when we come to look at Pythagoras in 3D, Planes of Symmetry and Vectors in the next few weeks. There is also a nice little link to Euler's

famous formula. 34) Pythagoras & Trigonometry in 3D - Let's put last week's cube into good use by looking at how we can use it to help illustrate the difficult topics of Pythagoras and Trigonometry in 3D 35) Planes of Symmetry - We make good use out of our cube again this week, this time by taking a look at the surprisingly tricky question of: "how many planes of symmetry does a cube have?". Autograph's 3D mode provides a lovely way of displaying the answer. Oh, and for the record, I got this question wrong! 36) Reflections and Rotations in 3D - Your students have mastered reflections and rotations in 2D, they are getting a bit cocky, they are thinking maths is easy. Well, let's see how they cope with another dimension! 37) Extras - Dice Simulation - This week we take a look at one of the excellent Autograph Extras pages. The Dice Simulation page is fantastic for allowing your students to explore the concepts of experimental probability, sample sizes and distributions. 38) Extras - Monte Carlo Method - In this video we take a look at the second of Autograph's wonderful Extras pages - the Monte Carlo Method. We see how this can be used to make an estimate for the value of pi, combining together important aspects of geometry and probability. 39) Extras - Trigonometry - In this video we take a look at the third of Autograph's wonderful Extras pages - Trigonometry. Here we see where the graphs each of the trigonometric ratios comes from using the unit circle, and observe the effect on the graphs where we manipulate some constants 40) Biased Dice & Balls in a Bag - This week we take a look at how Autograph can be used to introduce students to the concept of experimental probability. You can very quickly set up a probability distribution function of your choice (fair dice, biased dice, numbered balls in a bag, you name it!), take samples of varying sizes, and create diagrams from the data. All of this may just help a tricky topic sink in a bit better. 41) Dice and the Binomial - In this video we continue our look at statistics and probability by seeing how Autograph can be used to introduce the concept of the binomial distribution. We look at the classic example of tossing a coin to create dot plots and box and whisker diagrams, and then we introduce a nice little twist... 42) Coins and the Geometric - Continuing our theme of all things statistical, this week we take a look at how Autograph might be used to introduce students to the concept of the Geometric Distribution, with a little helping hand from the Animation Controller! 43) Graphing Quadratics - We are going to be looking at graphing on Autograph for the next few weeks, and what better way to start than by looking at some of the different ways we

can represent quadratic equations graphically. This includes tables of values, factorising, completing the square and equations from three points.

Autograph Team A Level Pure Selection

1) A Goat Grazing Half a Square Field - One of the classic "goat grazing a field" geometry problems demonstrated 2) Differentiating Trigonometric Functions - We begin by plotting the sine curve and its gradient function in degrees and use this to motivate the introduction of radians. 3) Introducing Differentiation - A simple visual introduction to calculus. 4) Lines and Planes from Vectors - We are going to investigate the vector equations of a line x = a + kb and a plane y = a + kb + µc 5) Volumes of Revolution - The concepts learnt in the investigation of areas can also be applied to volumes of revolution. Suppose the region under the curve y = f(x) between x = a and x = b is revolved around the x-axis to form a solid. What is the volume of this solid? How can we approximate the volume? 6) The Exponential Function - Investigating the exponential function by consider the function y = a^x and its derivative. 7) Finding the Area under a Curve - How can we find the area A under the curve y = f(x) between x = a and x = b? 8) Binomial Theorem - The Binomial approximation is often used for approximating powers of numbers close to 1, but how close to 1 do we need to be in order for the approximation to be any good? 9) Cubic Investigation - In this investigation into a strange property of cubics, students would normally first be introduced to a special case, for exampley = (x -2)(x + 3)(x + 4), and then asked to look at this more general case 10) Iteration - Many equations cannot be solved using conventional methods. In such cases we need to use numerical methods to find solutions 11) Parametric Equations - Many different types of equation can be entered in Autograph: cartesian, trigonometric, exponential, hyperbolic, implicit, conics, polar, parametric, piecewise and differential. In this activity we look at a parametric form of the Lissajous equation 12) Conic Sections - Create a plane and a cone in Autograph and investigate the intersections.

13) Linear Programming - Using Autograph to visualise the solution to a linear programming problem 14) Terminal Velocity - The drag acting on a falling object increases as it accelerates. The terminal velocity is achieved when the drag is equal to the force due to gravity, so the net force is zero 15) Baby Weights - Analyse the weights of babies to determine how unusual a given weight is 16) Scatter Diagrams - It is possible to import a bivariate data set into Autograph but in this activity we are going to see how to create a dataset from points and we will then use that dataset to demonstrate least squared regression. 17) Poisson and Normal Approximations to Binomial - Both the Poisson and Normal distributions can be used as approximations to the Binomial, but for which values of n and p are the approximations any good? 18) The Central Limit Theorem - The Central Limit Theorem tells us that regardless of the parent distribution, the distribution of the sample means will have a Normal distribution.

Additional Tutorials There are lots of additional tutorials available in the help section within Autograph, accessible via the ‘Help’ menu. Alternatively, they can be accessed via the web link below.

http://www.autograph-maths.com/inaction/