## Todas as tarefas

#### The top-right diagonal

Likewise, looking at this spiral of numbers, find the few first items along the diagonal, beginning with 4, 16, 36,...

# Sequences

# Natural numbers

Modeling

5

#### What is bigger?

Consider the unit squares in the infinite square lattice in the plane on one side, and the integer numbers, as well infinitely many of them, on the other side. What can you say about them?

# Set theory

Modeling

13

#### The square

Written with this little fancy two up in the air, the square of a number is simply this number multiplied by itself. Compute the squares of the following numbers:

# Powers of integer exponent

Learning

6

#### The bottom-left diagonal

In the spirale of numbers, complete the sequence of numbers that appear on the bottom-left diagonal, starting from 1, then 9, then...

# Sequences

Training

5

#### Gauss stairs

The legend says that the young Carl Friedrich Gauss found a way to baffle his teacher by finding a way to sum all the integers between 1 and 100 in a matter of seconds. Do you know the answer?

# Sequences

Reasoning

5

#### Funciones f(x)=ax²

Las gráficas de la imagen corresponden a las funciones f(x)=-2x², f(x)=\frac{1}{2}x², f(x)=\frac{-1}{3}x² y 3x².
¿Cómo afecta el coeficiente cuadrático a las gráficas?

# Quadratic functions

Training

8