Understanding Relationships: Additive vs Multiplicative

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What is an additive relationship?

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An additive relationship is when a quantity increases or decreases by a constant amount. For example, if you have 5 apples and you add 3 more, you have 8 apples.

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CCSS.3.OA.D.9

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What is a multiplicative relationship?

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A multiplicative relationship is when a quantity increases or decreases by a constant factor. For example, if you have 5 apples and each apple costs $2, the total cost is 5 x 2 = $10.

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CCSS.5.OA.B.3

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What does the equation m = 8p represent?

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This equation represents a multiplicative relationship where the total number of markers (m) is 8 times the number of packages (p).

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CCSS.HSF.LE.B.5

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How do you identify an additive relationship in an equation?

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An additive relationship can be identified by equations of the form y = x + b, where b is a constant.

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CCSS.HSF-LE.A.1B

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How do you identify a multiplicative relationship in an equation?

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A multiplicative relationship can be identified by equations of the form y = kx, where k is a constant.

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CCSS.7.RP.A.2C

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What is the equation for an additive relationship with a constant of 5?

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The equation is y = x + 5.

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CCSS.8.EE.B.5

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What is the equation for a multiplicative relationship with a constant of 3?

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The equation is y = 3x.

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CCSS.7.RP.A.2C

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If y is 8 less than x, what is the equation?

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The equation is y = x - 8.

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CCSS.6.EE.C.9

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What is the cost equation for b bookmarks if each costs $0.79?

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The equation is c = 0.79b.

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CCSS.6.EE.C.9

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What does the term 'constant' mean in mathematics?

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A constant is a fixed value that does not change.

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CCSS.6.EE.A.2B