Unit 2 Resource Board by Jordan Webb

In a proportional relationship, the values for one quantity are each multiplied by the same number to get the values for the other quantity. THis number is called the "constant of proportionality."

jwebb155 — 2024-09-24 02:17:42 UTC

In a "proportional relationship," the values for one quantity are each multiplied by the same number to get the values for the other quantity.

jwebb155 — 2024-09-24 02:33:36 UTC

Identify "proportional relationships" using the "constant of proportionality."

jwebb155 — 2024-10-22 14:06:33 UTC

Page 12 Activity 1: Find is the constant of proportionality to complete the data table

2 cups of rice can feed 6 people. Find the "constant of proportionality" or the 'table factor' that takes us from 2 to 6.

2 * (x) = 6

We can isolate the x by doing the opposite of multiplying by 2, which is dividing by 2. Let's do that to both sides of the equal sign.

x = 3, our "constant of proportionality" is 3.

Now we know that on this table, the number of people is equal to 3 times the cups of rice in the same row. We can use this information to complete the data table.

Representing Proportional Relationships on Tables

jwebb155 — 2024-10-25 14:05:02 UTC

Page 20 Problem 1

If the length of something in centimeters is known, its length in millimeters can be calculated. Let's complete the table.

There are 10 millimeters in one centimeter. Let's use this information to calculate the constant of "constant of proportionality".

1 cm *(x) = 10 mm

1(x) = 10

x = 10, the "constant of proportionality" is 10

Let's use the "constant of proportionality" to complete the table

9 cm * our "constant of proportionality" will give us the length in mm.

9 * 10

12.5 cm * our "constant of proportionality" will give us the length in mm.

12.5 * 10

50 cm * our "constant of proportionality" will give us the length in mm.

50 * 10

88.49 * our "constant of proportionality" will give us the length in mm.

88.49 * 10

If the length of something in millimeters is known, its length in centimeters can be calculated.

There are 10 millimeters in a centimeter. Let's use this information to calculate the "constant of proportionality."

10 mm = 1 cm

10 * (x) = 1, divide both sides of the equal sign by 10

x = (1/10), (1/10) is our "constant of proportionality"

Let's use the "constant of proportionality" to complete the table

70 mm * our "constant of proportionality" will give us the length in cm

70 * (1/10)

245 mm * our "constant of proportionality" will give us the length in cm

245 * (1/10)