Grade 1Adding and Subtracting within 201.OA.B.4

Subtraction as a Missing Addend

To find 13 − 8, think 8 plus what makes 13.

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Subtraction and addition are partners. To find $13 - 8$, think: 8 plus what makes 13? You know how to make a ten, so count up through 10.

From 8, hop up to 13: that is 5 hops. So $13 - 8 = 5$.

Key idea

$13 - 8$ asks: what goes with 8 to make 13? Count up from 8 to 13.

Why it works

$13 - 8$ is the part left when 8 is taken from 13. That is the same part you add to 8 to get back to 13.

Worked example: Think addition

What is $13 - 8$?
  1. Think $8 + \square = 13$.
  2. 8 up to 10 is 2. 10 up to 13 is 3.
  3. $2 + 3 = 5$, so $13 - 8 = 5$.

Answer: 5

Worked example: Another one

What is $15 - 9$?
  1. Think $9 + \square = 15$.
  2. 9 up to 10 is 1. 10 up to 15 is 5.
  3. $1 + 5 = 6$, so $15 - 9 = 6$.

Answer: 6

The whole is 13 and one part is 8. The missing part is $13 - 8$.

Common mistake

Counting back 8 steps one at a time. That is slow, and easy to miscount. When the number you take away is big, count up instead.
For grown-ups: Ask subtraction facts as addition questions: “8 and what make 13?”

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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Builds on

Leads to

Sources and further reading

  • Common Core State Standards for Mathematics, Grade 1, 1.OA.B.4: understand subtraction as an unknown-addend problem
  • Institute of Education Sciences practice guide: Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (WWC 2021006)
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