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Understanding Proportional and Nonproportional Relationships in Math

This lesson focuses on identifying proportional and nonproportional relationships through real-world examples and ratios. Students will work on determining which values represent a constant ratio, using scenarios like shrimp costs and donut prices. The Cornell Notes format will guide students in summarizing key concepts, vocabulary such as 'proportional' and 'nonproportional,' and answering essential questions about relationships in mathematics. Homework assignments will reinforce these concepts, helping students develop a deeper comprehension of proportional reasoning.

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Understanding Proportional and Nonproportional Relationships in Math

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  1. Materials Reminders

  2. Get out your agenda if you see your name below. I would like to have you in my FLEX tomorrow.

  3. Musical Math Which of the following is the best value? A dozen donuts for $3.76 Or A 20-pack of donuts for $6

  4. Cornell Notes Topic: 4-2 Proportional and Nonproportional Relationships Essential Question(s): How do I identify proportional and nonproportional relationships?

  5. Important Vocabulary Proportional – two quantities with a constant ratio Example: Nonproportional – two quantities that do not have a constant ratio Example:

  6. Questions: Notes: Cornell Notes Determine whether the ratio between the two quantities remains the same Example: 1 shrimp costs $0.50 2 shrimp cost $1.00 3 shrimp cost $1.50 Note that the unit cost of one shrimp remains the same How do I identify proportional relationships? Determine whether the ratio between the two quantities does not remain the same Example: 1 shrimp costs $0.50 2 shrimp cost $0.75 3 shrimp cost $1.00 How do I identify nonproportional relationships?

  7. Quick Write Bubba eats 200 shrimp every day. Bubba keeps track of the total number of shrimp he has eaten each week in the following table. On the blank side of your Cornell Notes, write in complete sentences whether or not the table above shows a proportional or nonproportional relationship. Explain in great detail your reasoning.

  8. Quick Write Forrest tries to keep up with Bubba’s shrimp eating. Forrest keeps track of the total number of shrimp he has eaten each week in the following table. On the blank side of your Cornell Notes, write in complete sentences whether or not the table above shows a proportional or nonproportional relationship. Explain in great detail your reasoning.

  9. Homework Page 196-197; 6-8, 13-16 and 20 AND Cornell Notes Summary

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