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Somma dei primi n numeri naturali

Qual è il risultato di ...

1 + 2 + 3+ .... + n ??

Somma dei primi n numeri naturali

Qual è il risultato di ...

1 + 2 + 3+ .... + n ??

Ad esempio:Se n = 5, 1 + 2 + 3 + 4 + 5 = ??

Somma dei primi n numeri naturali

Facendo i calcoli: 1 + 2 + 3 + 4 + 5 = 15

Somma dei primi n numeri naturali

Facendo i calcoli: 1 + 2 + 3 + 4 + 5 = 15

Ma se n fosse molto più grande?

Somma dei primi n numeri naturali

Prendiamo n = 15, scriviamo tutti i numeri...

...in modo crescente:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

...in modo decrescente:

15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

Somma dei primi n numeri naturali

1 2 3 4 5 6 7 8 .... 15

15 14 13 12 11 10 9 8 .... 1

Somma dei primi n numeri naturali

1 2 3 4 5 6 7 8 .... 15

15 14 13 12 11 10 9 8 .... 1

+ + + + + + + + .... +

16 16 16 16 16 16 16 16 16

in tutto 15 volte

Somma dei primi n numeri naturali

Quindi:

Somma dei primi n numeri naturali

In generale:

Quadrato magico

La scelta dell'asino

Sempre la metà

Una spirale particolare

Triangoli di prodotti

I funghi

E' l'ora !

Delle uova troppo leggere

Labirinto

La collezione di Leo

Problemi RMT

Problemi RMT

Problemi RMT

Problemi RMT

La cordicella

La terrazza di Giuseppe

I due rettangoli

I cinque rettangoli

Da singolo a doppio

I quadrati di Alex

Il prato di zio Francesco

Questioni di età

Pappagallini colorati

La collana della regina

Il tangram

Il tangram è un puzzle molto comune, originario della Cina antica. E' un quadrato grande costituito da sette pezzi, tra cui un quadrato piccolo, che permette di realizzare numero figure.

Il tangram del falegname

Un falegname costruisce Tangram in legno. Un giorno, un cliente gli ordina un Tangram che abbia il quadrato piccolo di lato 6 cm. Quanto misurerà il lato del Tangram quando il falegname avrà finito di costruirlo?

Spiegate come avete trovato la vostra risposta e descrivete in dettaglio la procedura che avete seguito.

Sul muro della scuola

Sul muro della scuola

La terrazza di Giuseppe

Giuseppe ha una terrazza quadrata di 10 metri di lato. Vuole dipingere di bianco e di grigio il pavimento. Fa uno schizzo a mano libera per il suo progetto tracciando un quadrato che rapprsenta la terrazza, poi, all'interno quattro segmenti di retta che vanno da ciascuno dei quattro vertici al punto medio di un lato opposto. Colora in grigio quattro parti e lascia le altre cinque bianche.

Giuseppe si chiede se l'area delle parti bianche sarà uguale a quella delle parti grigie. Calcolate l'area totale delle parti bianche e quella delle parti grigie, riportando il dettaglio del vostro procedimento e dei vostri calcoli.

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Tangram Presentation

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With Genially templates, you can include visual resources to wow your audience. You can also highlight a particular sentence or piece of information so that it sticks in your audience’s minds, or even embed external content to surprise them: Whatever you like! Do you need more reasons to create dynamic content? No problem! 90% of the information we assimilate is received through sight and, what’s more, we retain 42% more information when the content moves.

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With Genially templates, you can include visual resources to wow your audience. You can also highlight a particular sentence or piece of information so that it sticks in your audience’s minds, or even embed external content to surprise them: Whatever you like! Do you need more reasons to create dynamic content? No problem! 90% of the information we assimilate is received through sight and, what’s more, we retain 42% more information when the content moves.

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• Make sure your audience remembers the message.

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Let the communication flow!

With Genially templates, you can include visual resources to wow your audience. You can also highlight a particular sentence or piece of information so that it sticks in your audience’s minds, or even embed external content to surprise them: Whatever you like! Do you need more reasons to create dynamic content? No problem! 90% of the information we assimilate is received through sight and, what’s more, we retain 42% more information when the content moves.

• Generate experiences with your content.
• It’s got the Wow effect. Very Wow.
• Make sure your audience remembers the message.

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Let the communication flow!

With Genially templates, you can include visual resources to wow your audience. You can also highlight a particular sentence or piece of information so that it sticks in your audience’s minds, or even embed external content to surprise them: Whatever you like! Do you need more reasons to create dynamic content? No problem! 90% of the information we assimilate is received through sight and, what’s more, we retain 42% more information when the content moves.

• Generate experiences with your content.
• It’s got the Wow effect. Very Wow.
• Make sure your audience remembers the message.