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Understand Subtraction as an Unknown-Addend Problem

Students will learn to reframe a subtraction problem as a missing addend addition problem. For example, to solve 13 - 5, students think 'What number do I add to 5 to get 13?' This builds the connection between addition and subtraction as inverse operations.

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Understand Subtraction as an Unknown-Addend Problem

Grade 1 · Properties and Strategies for Addition and Subtraction · question 1 of 3

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12 rungs. A star at the top.

11 = + 3

How it is taught

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Subtraction can be a missing addend.

You ask, plus what makes the whole?

Read it: Find the missing part: count on

8 + ? = 13. Start at 8 and count on to 13: 9, 10, 11, 12, 13. That is 5, so 8 + 5 = 13.

  1. Start at the part you know: 8.
  2. Count on to the whole: 9, 10, 11, 12, 13.
  3. The number you counted on is the missing part: 5.

The whole is the 2 parts together, so one part and the missing part make 13.

Counting on from 8 counts only the missing part.

A take-away hides the same thing: 13 − 8 is the 5 that makes 8 into 13.

Start at the part you know. Count on to the whole. The count on is the missing part.

Adding the 2 numbers you see: 8 + 13 = 21.

13 is the whole already. Count on from 8 to 13: 5.

12 − 9 = ___ — 3. Think 9 + ? = 12: count on from 9: 10, 11, 12. That is 3.

13 − 5

Let's figure out thirteen minus five.

Here's a clever trick! Instead of taking away, we can think about adding.

We ask ourselves: five plus what number equals thirteen?

Let's use a number line to find the missing number.

We start at five.

And we want to reach thirteen.

Now let's count the jumps from five to thirteen.

One, two, three, four, five, six, seven, eight. That's eight jumps!

So five plus eight equals thirteen.

That means thirteen minus five is eight. Nice work!

13 − 5 = ?What number goes in the box?Think addition instead!13 − 55 + ?5 + ? = 13Find the missing number5 + 8 = 130135StartGoal8 jumps!ANSWER813 − 5 = 8
Grade 1 · Think addition to solve subtraction

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MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

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Divide within 100

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MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

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