1. Law of the Function
It's just the *formula that explains how two things are related*. In your case,
how the side of a square makes the perimeter change.
> You wrote it correctly: "Mathematical expression that describes how
variables relate to each other (formula)"
*2. The Activity:*
> "P is the perimeter of a square with side l"
A square has 4 equal sides, so it's always: Perimeter = 4 x side
Let's solve what the teacher asked for:
*A) Table -* You did it right! You just test values:
If the side is 1, perimeter is 4. Side 2, perimeter 8... and so on.
*B) Variables -*
- *I.V. (Independent Variable):* is the SIDE (l). It's independent because YOU
choose its value.
- *D.V. (Dependent Variable):* is the PERIMETER (P). It DEPENDS on the
side you chose. If you change the side, the perimeter changes with it.
*C) Graph -*
Each row of the table becomes a point: (1,4), (2,8), (3,12), (4,16). When you
connect them, you get a line going up. This shows that the bigger the side, the
bigger the perimeter - it's proportional.
*D) Algebraic Expression -*
The final formula that puts it all together:
* $P = 4 \cdot l$ or $P(l) = 4l$*
You can see it visually in the table and graph I made for you.
Got it? It's always the same logic: you choose a side (I.V.), multiply by 4 and
you find the perimeter (D.V.). If the side were 10, the perimeter would be 40.
It's just the *formula that explains how two things are related*. In your case,
how the side of a square makes the perimeter change.
> You wrote it correctly: "Mathematical expression that describes how
variables relate to each other (formula)"
*2. The Activity:*
> "P is the perimeter of a square with side l"
A square has 4 equal sides, so it's always: Perimeter = 4 x side
Let's solve what the teacher asked for:
*A) Table -* You did it right! You just test values:
If the side is 1, perimeter is 4. Side 2, perimeter 8... and so on.
*B) Variables -*
- *I.V. (Independent Variable):* is the SIDE (l). It's independent because YOU
choose its value.
- *D.V. (Dependent Variable):* is the PERIMETER (P). It DEPENDS on the
side you chose. If you change the side, the perimeter changes with it.
*C) Graph -*
Each row of the table becomes a point: (1,4), (2,8), (3,12), (4,16). When you
connect them, you get a line going up. This shows that the bigger the side, the
bigger the perimeter - it's proportional.
*D) Algebraic Expression -*
The final formula that puts it all together:
* $P = 4 \cdot l$ or $P(l) = 4l$*
You can see it visually in the table and graph I made for you.
Got it? It's always the same logic: you choose a side (I.V.), multiply by 4 and
you find the perimeter (D.V.). If the side were 10, the perimeter would be 40.
