Organizing data

Linear Relationships

Organizing Data

Today’s Goal

❏ I can organize data to see

patterns more clearly.

Let’s find ways to
show patterns in
data!

Here is a table of data. Each row shows
two measurements of a triangle.

What do you notice?
What do you wonder?

Engagement: Messy Data

Open Ended

I notice......

I wonder.....

The data from this table came
from fourth grade students who
were practicing drawing
isosceles right triangles and
measuring their perimeters.

​Here is the table of isosceles right triangle measurements from the warm-up and an empty table.

1. How can you organize the measurements from the first table so that any patterns are easier to see? Write the organized measurements in the empty table.

COPY THE BLANK TABLE INTO YOUR NOTES AND COMPLETE THE ACTIVITY...

Open Ended

For each of the following lengths, estimate the perimeter of an isosceles right triangle whose short sides have that length. Explain your reasoning for each triangle.

A) length of short sides is 0.75 cm

B) length of short sides is 5 cm

C) length of short sides is 10 cm

What patterns do you see in the
data when it is graphed?

How could you use the graph to
estimate the perimeter for the
isosceles right triangles with the
short side lengths of 0.75 cm,
5 cm, or 10 cm?

Let’s Talk

Open Ended

What patterns do you see in the data when it is graphed?

Open Ended

How could you use the graph to estimate the perimeter for the isosceles right triangles with the short side lengths of 0.75 cm, 5 cm, or 10 cm?