7th Grade Success Lesson #9 (Constant of Proportionality)

Today we are going to study proportional relationships and find the ratio they have in common.
This is the constant of proportionality.

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​Constant of Proportionality

Divide y by x for each set of data in the table - if they all simplify to the same number, the table is proportional and k is the number they share.

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Finding the Constant of Proportionality from a Table

Divide y by x for each set of data in the table - if they all simplify to the same number, the table is proportional and k is the number they share.

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The Constant of Proportionality will not always be an integer!

Multiple Choice

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Multiple Choice

• 12

• 16

• 18

• 33

Multiple Choice

What is the constant of proportionality? (Unit rate)

• 2 swings / 1 day

• 0.5 swings / 1 day

• 4 swings / 1 day

• None of the above

Fill in the Blank

Find the Constant of Proportionality.

Fill in the Blank

Find the Constant of Proportionality in its simplest fractional form.

Poll

Would You Rather....

• Build a Lego House?

• Build a Sand Castle?

Multiple Choice

What is the constant of proportionality? 

• 5
• 1/5
• 10
• 2

Multiple Choice

What is the constant of proportionality? 

• 6
• 3
• 2
• 1/2

Multiple Choice

What is the constant of proportionality?

• 4
• 12
• 3
• 1/3

Multiple Choice

What is the constant of proportionality for the following graph?

• 80
• 20
• 40
• 160

Multiple Choice

What is the constant of proportionality for the following graph?

• 80
• 20
• 40
• 160

Multiple Choice

What is the constant of proportionality?

• 3
• 9
• 1
• No Answer

Poll

Would you rather...

• ... sleep an extra hour every day?

• ... get Dunkin' or Starbucks every morning?