Additive & Multiplicative Relationships

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What is an additive relationship?

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An additive relationship is when two or more quantities are combined by addition. For example, if you have 3 apples and you get 2 more, the total is 3 + 2 = 5 apples.

Tags

CCSS.1.OA.A.1

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What is a multiplicative relationship?

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A multiplicative relationship is when two or more quantities are combined by multiplication. For example, if you have 4 bags with 3 apples in each, the total number of apples is 4 x 3 = 12 apples.

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CCSS.4.OA.A.2

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How do you identify an additive relationship in a word problem?

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Look for keywords like 'total', 'combined', 'together', or 'increased by'. These indicate that you should add the quantities.

Tags

CCSS.3.OA.D.9

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How do you identify a multiplicative relationship in a word problem?

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Look for keywords like 'each', 'per', 'times', or 'groups of'. These indicate that you should multiply the quantities.

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If a recipe calls for 2 cups of flour and you want to make 3 batches, how much flour do you need?

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You need 2 cups x 3 batches = 6 cups of flour.

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CCSS.3.OA.A.3

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What is the formula for finding the total in an additive relationship?

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The formula is Total = Quantity 1 + Quantity 2 + ... + Quantity n.

Tags

CCSS.3.OA.D.9

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What is the formula for finding the total in a multiplicative relationship?

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The formula is Total = Quantity x Number of Groups.

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CCSS.5.OA.B.3

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If you have 5 pencils and you buy 3 more, how many do you have in total?

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You have 5 + 3 = 8 pencils.

Tags

CCSS.1.OA.A.1

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If a car travels 60 miles per hour, how far will it travel in 3 hours?

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The distance traveled is 60 miles/hour x 3 hours = 180 miles.

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CCSS.6.RP.A.3B

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What does it mean to double a quantity?

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To double a quantity means to multiply it by 2. For example, doubling 4 gives you 4 x 2 = 8.

Tags

CCSS.5.OA.B.3