Ratio Tables and Graphs

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you create a ratio table?

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A ratio table is created by listing pairs of numbers that maintain a constant ratio. For example, if the ratio is 2:3, the table might include (2,3), (4,6), (6,9), etc.

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What does it mean to simplify a ratio?

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Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you represent ratios graphically?

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Ratios can be represented graphically using a graph where one quantity is plotted on the x-axis and the other on the y-axis, showing the relationship between them.

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CCSS.7.RP.A.2C

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What is a proportion?

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A proportion is an equation that states that two ratios are equal, such as a/b = c/d.

Tags

CCSS.7.RP.A.2A

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How do you find a missing value in a ratio table?

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To find a missing value in a ratio table, use the known ratios to set up a proportion and solve for the unknown.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you compare two ratios?

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To compare two ratios, convert them to fractions and find a common denominator or cross-multiply to see which is larger.

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CCSS.6.RP.A.3A

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or price per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you use a ratio to solve real-world problems?

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Ratios can be used to solve real-world problems by setting up equations based on the relationships between quantities, such as in recipes or scaling models.