Additive and Multiplicative Relationship

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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?

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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 is 4 x 3 = 12 apples.

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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

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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' that indicate quantities are being multiplied.

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CCSS.4.OA.A.1

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If you have 5 oranges and you buy 3 more, how do you express this situation?

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This situation can be expressed as an additive relationship: 5 + 3 = 8 oranges.

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CCSS.2.OA.A.1

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If a box contains 6 toys and there are 4 boxes, how do you express this situation?

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This situation can be expressed as a multiplicative relationship: 6 x 4 = 24 toys.

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CCSS.4.OA.A.1

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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.

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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 per group x Number of groups.

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CCSS.2.OA.C.3

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Give an example of a real-life additive relationship.

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An example is when you save money: if you save $10 each week, after 4 weeks, you have saved 10 + 10 + 10 + 10 = $40.

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Give an example of a real-life multiplicative relationship.

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An example is when buying packs of items: if each pack contains 5 pencils and you buy 3 packs, you have 5 x 3 = 15 pencils.

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CCSS.5.OA.B.3