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.

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CCSS.1.OA.A.1

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What is a multiplicative relationship?

Back

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 'more' that indicate quantities are being added.

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CCSS.1.OA.A.1

Front

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' that indicate quantities are being multiplied.

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CCSS.4.OA.A.1

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

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5 + 3 = 8 pencils.

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CCSS.1.OA.A.1

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If a box contains 6 toys and there are 4 boxes, how many toys are there in total?

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6 x 4 = 24 toys.

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CCSS.2.OA.C.3

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

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Total = Quantity 1 + Quantity 2 + ... + Quantity n.

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CCSS.1.OA.B.3

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

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Total = Number of groups x Quantity in each group.

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CCSS.5.OA.B.3

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Give an example of a real-life situation that uses an additive relationship.

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If you have 10 dollars and you earn 5 more, you can add them to find out you have 15 dollars.

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CCSS.1.OA.A.1

Front

Give an example of a real-life situation that uses a multiplicative relationship.

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If you buy 3 packs of gum and each pack has 5 pieces, you can multiply to find out you have 3 x 5 = 15 pieces of gum.

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CCSS.7.RP.A.2C