Identifying Proportional Relationships in Tables

The lesson covers identifying proportional and non-proportional relationships using examples. It begins with an essential question about the usefulness of understanding proportionality. The first exercise examines if typing speed is proportional to time, concluding it is. The second exercise explores if the number of parks visited is proportional to months, finding it is not. The third exercise investigates the relationship between side length and area of squares, determining it is not proportional. The lesson concludes with a summary of how to identify proportional relationships and answers the essential question.

What is the purpose of identifying proportional relationships?

• To predict future events accurately

• To understand patterns in mathematical tables

• To answer questions about related quantities

• To solve complex equations

Tags

CCSS.7.RP.A.2D

If someone types at a constant rate of 42 words per minute, is this considered a proportional relationship?

• No, because the relationship is not linear

• Yes, because the typing speed remains constant

• No, because the speed increases over time

• Yes, but only if the typist speeds up

Tags

CCSS.7.RP.A.2A

How many words can be typed in 60 minutes at a constant rate of 42 words per minute?

• 5040 words

• 2100 words

• 1260 words

• 2520 words

Tags

CCSS.6.RP.A.3B

Is the number of parks visited proportional to the number of months since moving?

• Yes, but only in the first few months

• No, because the number of parks visited increases by a different amount each month

• No, because the multiplier changes each month

• Yes, because more parks are visited each month

Tags

CCSS.7.RP.A.2A

How many months does it take to visit 23 parks, given the pattern of visiting?

• 9 months

• 10 months

• 11 months

• 12 months

Tags

CCSS.5.OA.B.3

Is the relationship between the side lengths of a square and its area proportional?

• Yes, because both increase at the same rate

• No, because the area increases exponentially

• Yes, but only for squares with side length less than 5

• No, because the multiplier is different for each pair

Tags

CCSS.7.RP.A.2D

What pattern is observed in the relationship between the side lengths of a square and its area?

• Exponential increase

• Constant increase

• Linear increase

• Quadratic increase

How can you determine if two quantities are proportional?

• By adding the quantities together

• By finding a constant multiplier for each pair

• By subtracting one quantity from another

• By dividing one quantity by another and finding a variable result

Tags

CCSS.7.RP.A.2A

What does a constant multiplier indicate about two quantities?

• They are inversely proportional

• They are not related

• They are directly proportional

• They are exponentially related

Tags

CCSS.7.RP.A.2D

If one cup equals 8 ounces, what does this imply about cups and ounces?

• They are not proportional

• They are inversely proportional

• They are proportional, with ounces as the constant multiplier

• They are proportional, with cups as the constant multiplier

Tags

CCSS.7.RP.A.2A