# Autograph Newsletter 7 – Translation and Vectors

 Welcome Welcome to the seventh Autograph Newsletter! Each jam-packed edition will look at a specific topic in mathematics and how Autograph can help engage students and enable them to understand the key concepts better. Hope you enjoy it! Craig Barton Advanced Skills Teacher, creator of www.mrbartonmaths.com and TES Secondary Maths Adviser. Follow me on Twitter: @TESMaths
 Introduction In previous newsletters we have looked at Reflection and Rotation, so it was only a matter of time before Translation and Vectors came to our attention. Autograph has the ability to make the study of translations far more dynamic, enabling you to manipulate objects and numbers and instantly see their effect. However, it is with vectors that the software really comes into its own, giving you the power to combine vectors in any way you could imagine, in both 2D and 3D. I hope you find lots of ideas to help bring the study of translations and vectors to life.
 Diagnostic Question Diagnostic questions are ideal to use at the start of the lesson to enable you to get a quick and accurate picture of your students’ levels of understanding. They are designed in such a way that common misconceptions that your students may hold should steer them to one of the incorrect answers, thus allowing you to learn where the problems lie from their responses. Typically I give my class 30 seconds thinking time and then ask them to hold up their fingers: 1 for A, 2 for B, etc.
 Free Online Autograph Activity Vector Challenge Vectors a and b have been used in some way to create 6 new vectors. Your job is to find out how! These Autograph activities do not require the full version of Autograph to run them. You just need to install the free Autograph Player (you will be guided through how to do this), which means you can use these activities in the classroom or set them for your students to do at home.
Ideas for Extension
The following ideas for extending this topic require the full version of Autograph.
Idea 1 – Vectors and Translations on Autograph
There are two main ways of using vectors in 2D on Autograph. The one you choose will be dependent on the task you are doing.
Method 1 – Vector Defined from a point
 • The red object has been translated by the red vector to give the green image. • You can drag the foot of the vector so that it lies on one of the vertices of the red object to show the translation. • Double-click on the vector to change it. • You can even change the vector to  and use  the constant controller to change the vector.
Method 2 – Vector Defined from two points
 • The blue object has been translated by the blue vector to give the orange image. • You can drag either end of the vector around to see the effect it has on the image itself.
Experiment with both of these methods. Instructions how to create them can be found in the video below.
Idea 2 – Vector Man
Vector man has unfortunately got himself into a bit of a muddle.
 • Can your students drag the points to create vectors to put him back together again? • Scribble down the description of the vector next to each one. • How would these vectors change if you wanted Vector Man to be upside down? (use  Drag to see more of the screen if you need). • Encourage your students to create similar puzzles using vectors on Autograph
Idea 3 – Vector Flight Path