Understanding Proportional Relationships

Mrs. Lopez teaches grade seven students about proportional relationships, focusing on examples like frozen yogurt pricing, cooking measurements, exercise calories, and summer job earnings. The lesson emphasizes understanding unit rates and equivalent ratios to determine proportionality in various contexts.

What defines a proportional relationship between two quantities?

• Their ratios are equivalent.

• Their difference is constant.

• Their sum is constant.

• Their product is constant.

In the frozen yogurt example, what is the unit rate used to determine proportionality?

• Ounces per dollar

• Dollars per ounce

• Cups per dollar

• Dollars per cup

How do you verify if cooking measurements are proportional?

• By comparing the differences in measurements.

• By ensuring the ratios of measurements are equivalent.

• By checking if the sum of measurements is the same.

• By multiplying all measurements by a constant.

What is the significance of zero in proportional relationships, as seen in the cooking example?

• Zero indicates a constant ratio.

• Zero means the relationship is not proportional.

• Zero shows that no quantity is involved.

• Zero is irrelevant in proportional relationships.

In the physical education example, how many calories are burned per minute?

• 10 calories

• 12 calories

• 11 calories

• 13 calories

If Shelton exercises for 7.5 minutes, how many calories will he burn?

• 82.5 calories

• 75 calories

• 90 calories

• 77.5 calories

What is the unit rate of earnings per week in Alison's summer job?

• $25 per week

• $28 per week

• $30 per week

• $32 per week

How much money will Alison have after 8 weeks if she continues at the same rate?

• $256

• $240

• $224

• $200

What mathematical operations are used to determine proportional relationships?

• Exponentiation and roots

• Addition and subtraction

• Multiplication and division

• Logarithms and antilogarithms

Why is it important to maintain a constant rate in proportional relationships?

• To ensure the sum remains constant.

• To ensure the product is constant.

• To keep the difference consistent.

• To maintain equivalent ratios.