Grade 1Adding and Subtracting within 201.OA.C.6

Making Ten to Add

8 + 5 is 8 + 2 + 3, which is 10 + 3.

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You know the facts within 10, and that teen numbers are ten and some more. Put them together to add.

$8 + 5$. Press “Make a ten”: 2 yellow counters fill the first frame, and 3 are left. $8 + 5 = 10 + 3$.

Key idea

Fill up a ten first. Break the other number into the part that makes 10 and the part that is left.

Why it works

Moving counters from one frame to the other does not change how many there are. And $10 + 3$ is easy: it is 13.

Worked example: Make a ten

What is $8 + 5$?
  1. 8 needs 2 to make 10.
  2. Break 5 into 2 and 3.
  3. $8 + 2 = 10$, and $10 + 3 = 13$.

Answer: 13

Worked example: Another one

What is $7 + 6$?
  1. 7 needs 3 to make 10.
  2. Break 6 into 3 and 3.
  3. $7 + 3 = 10$, and $10 + 3 = 13$.

Answer: 13

Worked example: Start with the 9

What is $5 + 9$?
  1. 9 needs only 1 to make 10.
  2. Break 5 into 1 and 4.
  3. $9 + 1 = 10$, and $10 + 4 = 14$.

Answer: 14

5 is 2 and 3: the 2 fills the ten, the 3 is left over.

Common mistake

Breaking the second number the wrong way, so $8 + 5$ becomes $10 + 5$. But the 2 that made the ten came out of the 5! Only 3 are left: $10 + 3$.
For grown-ups: Use two egg cartons cut to 10 cups. Fill one first, then count what spills into the second.

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.C.6: add within 20 by making ten, such as 8 + 6 = 8 + 2 + 4 = 10 + 4
  • Institute of Education Sciences practice guide: Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (WWC 2021006)
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