Question

lesson 1.4: additive patterns and arithmetic sequence
swbat determine whether a relationship is linear or nonlinear based on a numerical sequence whose indices increase by a constant amount.
exploration
for each square determine the perimeter p without measuring. then complete the table.

1. side length = 1 cm

perimeter =

1. side length = 2 cm

perimeter =

1. side length = 3 cm

perimeter =

1. side length = 4 cm

perimeter =

1. side length = 5 cm

perimeter =
6.

side length (s) in cm	perimeter (p) in cm
2
3
4
5

Explanation:

Step1: Recall perimeter formula for square

The formula for the perimeter $P$ of a square is $P = 4s$, where $s$ is the side - length of the square.

Step2: Calculate perimeter for $s = 1$ cm

Substitute $s = 1$ into the formula $P=4s$. So, $P = 4\times1=4$ cm.

Step3: Calculate perimeter for $s = 2$ cm

Substitute $s = 2$ into the formula $P = 4s$. So, $P=4\times2 = 8$ cm.

Step4: Calculate perimeter for $s = 3$ cm

Substitute $s = 3$ into the formula $P = 4s$. So, $P=4\times3=12$ cm.

Step5: Calculate perimeter for $s = 4$ cm

Substitute $s = 4$ into the formula $P = 4s$. So, $P=4\times4 = 16$ cm.

Step6: Calculate perimeter for $s = 5$ cm

Substitute $s = 5$ into the formula $P = 4s$. So, $P=4\times5=20$ cm.

Step7: Complete the table

Side Length (s) in cm	Perimeter (P) in cm
2	8
3	12
4	16
5	20

Answer:

Side Length (s) in cm	Perimeter (P) in cm
2	8
3	12
4	16
5	20