# Autograph Newsletter 1 – Reflections

 Welcome Welcome to the new 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 Reflection is a topic that lends itself particularly well to being taught in a visual and dynamic way. Students who may struggle with the numeric and algebraic components of mathematics may have a flare for the more visual topics such as reflections, and if you can hook them in then it is likely to have a positive knock-on effect throughout the rest of their studies. Autograph enables you to easily and dynamically manipulate objects and lines to interactively cover every conceivable aspect of reflections, testing your students’ special awareness to the very limit!
 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 Reflection Golf Can you change the line of reflection in order to fit the green object into each of the black holes? What is the equation of the line of reflection in each case? 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 the topic of reflection require the full version of Autograph.
Idea 1 – Simple Reflection
Introduce students to the idea of reflections using vertical and horizontal lines.
 • If I move the blue object to the left one square, where do the reflected objects move? • If I change the position of the lines of reflection (drag the circled points), how do the reflected objects move? • If I wiggle the top left corner of the blue object, which corners of the reflected objects will wiggle?
Use the  Scribble Tool to mark the students’ predictions
Idea 2 – Diagonal Reflection
Develop your students’ understanding of reflection by looking at diagonal lines of reflection.
 • If I move the blue object down one square, where do the reflected objects move? • If I change the position of the lines of reflection, how do the reflected objects move? • If I wiggle the top left corner of the blue object, which corners of the reflected objects will wiggle?
Use the  Scribble Tool to mark the students’ predictions
Idea 3 – Any Reflection