Enlargement: 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!
Enlargements can make shapes go smaller
An enlargement of scale factor -1 with centre at the origin is exactly the same as another single transformation
When looking at two objects, you can tell if they have been enlarged
Enlargements do sometimes change the orientation of a shape
The order you perform two different enlargements does not matter to the final result(or does it???)You can achieve the same result as an enlargement if scale factor -2 by carrying out two other single enlargements
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!
Write down a series of 3 enlargements that return a shape back to its starting point
Describe 3 different enlargements that result in 3 different points of your choosing all ending up at (4, -2)
Draw a shape in the top-right quadrant. Write down 3 different single enlargements that would transform the object into each of the other 3 quadrants. Always start back at your original shape each time.