Grade 2Facts and Number Sense2.OA.B.2

Facts within 20 from Memory

Know all sums of two one-digit numbers by heart.

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In Grade 1 you learned Facts within 20 with tricks like making a ten and using doubles. Now the goal is to just know each fact, the way you know your own name. When facts come fast, your brain has room for bigger problems like $38 + 47$.

8 red and 5 yellow counters. Press “Make a ten”: 2 yellow counters slide up, so $8 + 5 = 10 + 3$.

Why it works

There are only 100 addition facts with one-digit numbers, from $0 + 0$ to $9 + 9$. Turn-around facts like $8 + 5$ and $5 + 8$ have the same answer, so there are only about half as many to learn. And every subtraction fact hides inside an addition fact: if you know $8 + 5 = 13$, you also know $13 - 5 = 8$ and $13 - 8 = 5$.

Worked example: Make a ten

Find $9 + 6$.
  1. 9 needs 1 more to make 10.
  2. Split 6 into 1 and 5.
  3. $9 + 1 = 10$, and $10 + 5 = 15$.

Answer: $9 + 6 = 15$

Worked example: Use a double

Find $7 + 8$.
  1. 7 and 8 are next-door numbers.
  2. You know the double $7 + 7 = 14$.
  3. 8 is one more than 7, so the answer is one more: $15$.

Answer: $7 + 8 = 15$

Worked example: Think addition

Find $14 - 6$.
  1. Ask: 6 plus what makes 14?
  2. $6 + 8 = 14$.
  3. So $14 - 6 = 8$.

Answer: $14 - 6 = 8$

A number bond for 14. One part is 6. What is the other part? Press “Show” to check.

Key idea

Know each addition fact well, and you get the subtraction facts for free: if $a + b = c$, then $c - a = b$.

Common mistake

Counting on and saying the first number again. For $8 + 5$, some people count “8, 9, 10, 11, 12” and get 12. Start at the next number: 9, 10, 11, 12, 13. Quick check: $8 + 5$ is the same as $10 + 3$.
Grown-up tip: Five minutes a day beats an hour once a week. Mix in the facts your child misses, and praise careful thinking more than speed.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Sources and further reading

  • Common Core State Standards for Mathematics, Grade 2, standard 2.OA.B.2 (add and subtract within 20 fluently; know sums of two one-digit numbers from memory)
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