Ratios and Proportions Vocabulary

Imagine Grace, Mia, and Jackson are playing a game of marbles. They noticed a pattern in their game, which they believe is a multiplicative relationship. How would you define this multiplicative relationship they are talking about?

• A multiplicative relationship is a mathematical relationship between two variables where the value of one variable is inversely proportional to the value of the other variable.

• A multiplicative relationship is a mathematical relationship between two variables where the value of one variable has no effect on the value of the other variable.

• A multiplicative relationship is a mathematical relationship between two variables where the value of one variable is randomly related to the value of the other variable.

• A multiplicative relationship is a mathematical relationship between two variables where the value of one variable is directly proportional to the value of the other variable, and the ratio between the two variables remains constant.

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Sophia, Luna, and Grace are having a debate about the meaning of proportionality in their math class. Sophia says, 'Two quantities are proportional when they have a negative ratio or relationship between them.' Luna disagrees and says, 'No, two quantities are proportional when they have no relationship between them.' Grace, however, thinks differently and says, 'Actually, two quantities are proportional when they have a constant ratio or relationship between them.' But, there's also a fourth opinion that 'Two quantities are proportional when they have a variable ratio or relationship between them.' Who do you think is correct?

• Sophia: Two quantities are proportional when they have a negative ratio or relationship between them.

• Luna: Two quantities are proportional when they have no relationship between them.

• Grace: Two quantities are proportional when they have a constant ratio or relationship between them.

• The fourth opinion: Two quantities are proportional when they have a variable ratio or relationship between them.

Samuel, Luna, and Priya are having a debate about unit rates. Samuel says, 'A unit rate is a ratio that compares two different quantities with the same units of measure.' Luna disagrees and says, 'No, a unit rate is a ratio that compares two different quantities with no units of measure.' Priya, on the other hand, believes that 'A unit rate is a ratio that compares two different quantities with different units of measure.' And there's also a fourth opinion that 'A unit rate is a ratio that compares two similar quantities with different units of measure.' Who do you think is correct?

• Samuel: A unit rate is a ratio that compares two different quantities with the same units of measure.

• Luna: A unit rate is a ratio that compares two different quantities with no units of measure.

• Priya: A unit rate is a ratio that compares two different quantities with different units of measure.

• Fourth opinion: A unit rate is a ratio that compares two similar quantities with different units of measure.

Anika, Grace, and Ethan are on a treasure hunt. They found a map with similar figures and a mysterious number. Ethan thinks it's a scale factor. Can you help them understand what a scale factor is?

• Is it a term used in cooking to measure ingredients?

• Or is it a ratio that compares the measurements of two similar figures?

• Maybe it's a type of musical instrument?

• Or could it be a tool used to measure weight?

I had 35 assignments for the week. The ratio of English assignments to the rest of the assignment was 2:3. How many assignments were NOT English?

Aria, Harper, and Scarlett are having a debate about ratios. They are trying to figure out what it means for two ratios to be equivalent. Can you help them?

• Aria thinks that equivalent ratios can only be obtained by multiplying both ratios by the same number.

• Harper believes that equivalent ratios have different relationships between two quantities.

• Scarlett says that equivalent ratios represent the same relationship between two quantities and can be obtained by simplifying both ratios to their lowest terms.

• They also heard a rumor that equivalent ratios have different units of measurement.

Imagine Michael, Abigail, and Noah are having a debate about the definition of proportion in their math class. Michael says, 'Proportion is a mathematical concept that compares two quantities or ratios.' Abigail says, 'Proportion is a mathematical concept that compares two quantities or fractions.' Noah says, 'Proportion is a mathematical concept that compares two qualities or attributes.' And a fourth friend chimes in, 'Proportion is a mathematical concept that compares three quantities or ratios.' Who is correct?

• Michael is correct.

• Abigail is correct.

• Noah is correct.

• The fourth friend is correct.

A word that describes equality or inequality of ratio.

• proportion

• ratio table 

• scaling up

A relationship between two quantities that can be expressed three different ways.

• rate

• ratio

• unit price

A rate with the second number being one. Often has the word "per" in it.

• unit rate

• ratio

• proportion