Other Graphs (Circles, Cubic, Exponential, Reciprocal): 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!
You can recognise the key features of cubic/circle/exponential graphs
Some cubic graphs have 1, 2, or 3 points on them that have a y value of 4
The graph of gives a circle
All graphs in the from cross the y-axis at (0, 1)
All graphs in the from never cross the x-axis
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 idea 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. 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 the equation of 3 different cubic graphs that cross the x-axis at (3, 0)
Write down the equation of 3 different circles that have odd numbered lengths for their radius
Write down the co-ordinates of 3 points on the graph of that all have negative x-values