Grade 1The Equal Sign and Word Problems1.OA.D.8

Finding the Missing Number

Find the unknown in 8 + ? = 11 or 14 − ? = 9.

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Sometimes a number is missing. Use what you know about true equations and thinking addition.

$8 + \square = 11$: the whole is 11, one part is 8.

Key idea

Find the whole and the parts. If the whole is missing, add the parts. If a part is missing, take the known part away from the whole, or count up.

Why it works

Every addition or subtraction sentence is about a whole and two parts. Knowing which number is the whole tells you what to do.

Worked example: A missing part

What goes in the box? $8 + \square = 11$
  1. 11 is the whole. 8 is one part.
  2. Count up from 8 to 11: 3.
  3. $8 + 3 = 11$

Answer: 3

Worked example: Take away how many?

What goes in the box? $14 - \square = 9$
  1. 14 is the whole. 9 is the part left.
  2. From 9 up to 14 is 5.
  3. $14 - 5 = 9$

Answer: 5

Worked example: The start is missing

What goes in the box? $\square - 4 = 7$
  1. The box is the whole: what you started with.
  2. Put the 4 back: $7 + 4 = 11$.
  3. $11 - 4 = 7$

Answer: 11

Common mistake

Adding the two numbers you can see, and writing 19 in $8 + \square = 11$. Put your answer in to check: $8 + 19$ is not 11!
For grown-ups: After your child finds a missing number, ask them to read the whole sentence aloud with it filled in. Does it sound true?

Practice

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

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Sources and further reading

  • Common Core State Standards for Mathematics, Grade 1, 1.OA.D.8: find the unknown whole number in an addition or subtraction equation
  • Institute of Education Sciences practice guide: Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (WWC 2021006)
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