'Alice meets Humpty Dumpty in Alice through the looking Glass by Lewis Carroll

To be sure I was!' Humpty Dumpty said gaily as she turned it round for him. 'I thought it looked a little queer. As I was saying, that seems to be done right — though I haven't time to look it over thoroughly just now — and that shows that there are three hundred and sixty-four days when you might get un-birthday presents —'

Certainly,' said Alice.

'And only one for birthday presents, you know. There's glory for you!'

'I don't know what you mean by "glory",' Alice said.

Humpty Dumpty smiled contemptuously. 'Of course you don't — till I tell you. I meant "there's a nice knock-down argument for you!"'

'But "glory" doesn't mean "a nice knock-down argument",' Alice objected.

'When I use a word,' Humpty Dumpty said, in rather a scornful tone, 'it means just what I choose it to mean — neither more nor less.'

'The question is,' said Alice, 'whether you can make words mean so many different things.'

'The question is,' said Humpty Dumpty, 'which is to be master — that's all.'

Alice was too much puzzled to say anything; so after a minute Humpty Dumpty began again. 'They've a temper, some of them — particularly verbs: they're the proudest — adjectives you can do anything with, but not verbs — however, I can manage the whole lot of them! Impenetrability! That's what I say!'

'Would you tell me please,' said Alice, 'what that means?'

'Now you talk like a reasonable child,' said Humpty Dumpty, looking very much pleased. 'I meant by "impenetrability" that we've had enough of that subject, and it would be just as well if you'd mention what you mean to do next, as I suppose you don't mean to stop here all the rest of your life.'

'That's a great deal to make one word mean,' Alice said in a thoughtful tone.

'When I make a word do a lot of work like that,' said Humpty Dumpty, 'I always pay it extra.'

'Oh!' said Alice. She was too much puzzled to make any other remark.

'Ah, you should see 'em come round me of a Saturday night,' Humpty Dumpty went on, wagging his head gravely from side to side, 'for to get their wages, you know.'

(Alice didn't venture to ask what he paid them with; and so you see I can't tell you.)

'You seem very clever at explaining words, Sir,' said Alice. 'Would you kindly tell me the meaning of the poem called "Jabberwocky"?'

'Let's hear it,' said Humpty Dumpty. 'I can explain all the poems that ever were invented — and a good many that haven't been invented just yet.'

This sounded very hopeful, so Alice repeated the first verse:

''Twas brillig, and the slithy toves   Did gyre and gimble in the wabe:All mimsy were the borogoves,   And the mome raths outgrabe.'

'That's enough to begin with,' Humpty Dumpty interrupted: 'there are plenty of hard words there. "Brillig" means four o'clock in the afternoon — the time when you begin broiling things for dinner.'

'That'll do very well,' said Alice: 'and "slithy"?'

'Well, "slithy" means "lithe and slimy". "Lithe" is the same as "active". You see it's like a portmanteau — there are two meanings packed up into one word.'

'I see it now,' Alice remarked thoughtfully: 'and what are "toves"?' “ Well, "toves" are something like badgers — they're something like lizards — and they're something like corkscrews.'

Task Two

Your team hands in ONE solution on ONE piece of A4 paper.

Definition: A figure is convex if, for every pair of points within the figure, the segment connecting the two points lies entirely within the figure.

Which of the following satisfactorily distinguish convex polygons from non- convex polygons.

A polygon is convex if and only if…

A. All diagonals lie in the interior of the polygon.B. The perimeter is larger than the length of the longest diagonal.C. Every diagonal is longer than every side.D. The perimeter of the polygon is the shortest path that encloses the entire shape.E. The largest interior angle is adjacent to the longest side.F. None of the lines that contain the sides of the polygon pass through its interior.G. Every interior angle is less than 180°.

A definition should be rejected if a convex shape can be given that fails to meet the stated conditions OR a rule should also be rejected if a non-convex example can be provided that does satisfy the stated conditions.

1. For each of the possible definitions draw the shape that you used as evidence to reject the ones you chose to reject. Explain clearly how it demonstrates why the definition fails.

2. Which of the four definitions that work is best? Why? It is up to you to decide what mean by ‘best’ and to make this clear in your explanation.

Marking Rubric

3. Your explanations are clear and logical. They are written in grammatically correct English. Your diagrams are clear and accurate. You have identified definitions that satisfactorily distinguish convex polygons from non- convex polygons. You have explained clearly why you chose one of the four as the best definition.

2. You have satisfied most but not all of the criteria to get full marks. 1. Your explanations are not clear and logical or are difficult to understand OR Your diagrams are not clear and or are inaccurate.

0. Your explanations are not clear and logical or are difficult to understand AND Your diagrams are not clear and or are inaccurate.