Solve add to with change unknown problems, relating varied addition and subtraction strategies.

EngageNY 60 min(s)

In this lesson, students use "counting on," "take from ten" strategies, or the "get to ten" strategy to solve "add to with change unknown" problems. (For example, "In the morning, there were 8 leaves on the floor under the ficus tree. During the day, more leaves fell on the floor. Now, there are 13 leaves on the floor.") The "get to ten" strategy has students solving 13 - 8 as 13 - 3 - 5, understanding that decomposing the subtrahend to easily get to the ten yields a simpler, more manageable subtraction problem.

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Unit 2, Lesson 22

Solve put together/take apart with addend unknown word problems and relate counting on ...

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Strategize to solve take from with change unknown problems.

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3 Content Standards are aligned with this lesson

1.OA.B.4
1.OA.C.5
1.OA.C.6

Major StandardsSupporting StandardsAdditional Standards

Standard 1.OA.B.4

Understand subtraction as an unknown-addend problem. For example, subtract 10 - 8 by finding the number that makes 10 when added to 8.

Part of Major Cluster 1.OA.B

Prerequisites for 1.OA.B.4

Kindergarten

K.OA.A.2

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

Upcoming Standards for 1.OA.B.4

1st Grade

1.OA.C.6

Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

2nd Grade

2.NBT.B.9

Explain why addition and subtraction strategies work, using place value and the properties of operations.1

4th Grade

4.NF.B.3.A

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

4.NF.B.3.B

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

4.NF.B.3.C

Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.