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.
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.
Ideas for Extension
The following ideas for extending the topic of reflection require the full version of Autograph.
Idea 1 – Simple Reflection
Download simple-reflection.agg
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
