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 Blanks

Fill in the Blanks

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?