Reflection: Probing Questions
Whether you are looking for a question to stimulate discussion in lesson, or a challenge at the end of a homework, then hopefully you will find these useful.
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Convince Me That... keyboard_arrow_up
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I use Convince Me That questions lots in my lessons and homeworks. Providing students with a statement and challenging them to come up with as many different ways of convincing you as possible can lead to some fascinating discussions. The different ways of seeing the same thing can also help improve the depth of students’ understanding. Thanks so much to the Thornleigh Maths Department, in particular Erica Richards, Anton Lewis and Gareth Fairclough for helping me put these together, and we will endeavour to keep adding more!
Lines of reflection and lines of symmetry are related
A reflection in the line y = x is not the same as a rotation 180o about the origin
When looking at two objects, you can tell if they have been reflected
You can reflect in diagonal lines
The order you perform two different reflections does not matter to the final result
VI3 Treatment keyboard_arrow_up
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We devised VI3 Treatment as a versatile way of giving students meaningful follow-up work at once we have marked their homework. The idea is that students are challenged to come up with 3 things with certain constraints. These are ideal to use as an extension for students who have got everything correct, and also as further purposeful practise for students who have got a particular question wrong. Use the ideas below and adapt them accordingly, using different numbers where appropriate. Either mark them yourself or better still, get other students to do it. Thanks so much to the Thornleigh Maths Department, in particular Erica Richards, Anton Lewis and Gareth Fairclough for helping me put these together, and we will endeavour to keep adding more!
Draw a shape in the top-right quadrant of a co-ordinate grid. Describe 3 different sets of 4 reflections that transform the grid into the bottom-right quadrant, the bottom-left quadrant, the top-left quadrant, and then back to the exact same place the shape started
Write down a series of 3 reflections that return a shape back to its starting point
Describe 3 different reflections that result in 3 different points of your choosing all ending up at (-4, 1)
Draw a shape in the top-right quadrant. Write down 3 different single reflection that would transform the object into each of the other 3 quadrants. Always start back at your original shape each time.