Addition & Subtraction Fluency Within 10 | 1st Grade Math

Addition and Subtraction Fluency Within 10 - Grade 1 Math
Grade 1 Math  ›  Addition & Subtraction  ›  Lesson 17
Grade 1 Math - Addition and Subtraction

Addition & Subtraction Fluency Within 10

Build addition and subtraction fluency within 10 using efficient mental strategies, related facts, doubles, make-10 combinations, and the connection between addition and subtraction.

Fluency means solving basic facts accurately, efficiently, and flexibly. Students should understand useful strategies first and then use practice to make those facts easier to recall.

Addition facts within 10 Subtraction facts within 10 Fact fluency Mental math strategies 1st Grade Math

๐ŸŽฏ What You Will Learn

Recall basic addition facts within 10
Use known facts and efficient strategies instead of starting from the beginning every time.
Recall basic subtraction facts within 10
Use counting, fact families, and related addition facts to find differences efficiently.
Switch flexibly between strategies
Choose counting on, doubles, make 10, or a related fact depending on the problem.
Build accuracy and confidence
Practice mixed facts while checking that each answer makes mathematical sense.
For parents & teachers — standards alignment: This lesson directly addresses CCSS 1.OA.C.6: add and subtract within 20 while demonstrating fluency for addition and subtraction within 10. It also supports CCSS 1.OA.B.3, 1.OA.B.4, and 1.OA.C.5 by using properties of addition, the relationship between addition and subtraction, and counting strategies. Texas TEKS 1.3(C), 1.3(D), and 1.3(E) support composing 10, applying basic-fact strategies within 20, and explaining addition and subtraction strategies.

๐Ÿง  Key Vocabulary

fluency — solving facts accurately, efficiently, and flexibly.
math fact — a basic addition or subtraction equation that becomes familiar through understanding and practice.
sum — the result of addition.
difference — the result of subtraction.
fact family — related addition and subtraction facts made from the same numbers.
mental strategy — a way to solve a fact in your head using number relationships.

⚡ What Does Fluency Mean?

Fluency is more than answering quickly. A fluent student can solve a basic fact correctly, choose a useful strategy, and move between related facts without unnecessary steps.

Accurate The answer is correct.
Efficient The strategy uses only the steps that are needed.
Flexible You can choose another strategy when it is more helpful.
Fluency is not a race. Build correct strategies and confidence first. Speed may improve naturally with meaningful, repeated practice, but rushing should never replace understanding.

๐Ÿ› ️ Strategies That Build Fluency

Count on or back Start from a known number and move only a few steps.
Use doubles Facts such as 4 + 4 and 5 + 5 can become strong anchors.
Make or use 10 Know number partners such as 3 + 7 and 6 + 4.
Think addition Use a known addition fact to solve a related subtraction fact.

๐Ÿ”„ One Fact Can Help With Another

3 + 5 = 8 → 8 − 3 = 5 → 8 − 5 = 3

When you know one addition fact, you often know related subtraction facts too. This connection reduces the number of facts that feel completely new.

Fact Family: 3, 5, and 8
3 + 5 = 8
5 + 3 = 8
8 − 3 = 5
8 − 5 = 3
Practice idea: mix addition and subtraction facts instead of practicing only one operation for a long time. Switching between operations helps students notice relationships and choose strategies more flexibly.

๐ŸŒŸ 25 Worked Examples

Try each fact mentally first. Then open “Show solution” to compare your strategy.
1 Add 1
Find the sum: 2 + 1 = □.
Show solution Hide solution

Start at 2 and count on 1: 3. So 2 + 1 = 3.

2 Add 1 to a larger number
Find the sum: 4 + 1 = □.
Show solution Hide solution

Adding 1 means moving to the next number. After 4 comes 5, so 4 + 1 = 5.

3 Add zero
Find the sum: 5 + 0 = □.
Show solution Hide solution

Adding 0 does not change the number. So 5 + 0 = 5.

4 Count on 2
Find the sum: 3 + 2 = □.
Show solution Hide solution

Start at 3 and count on two numbers: 4, 5. So 3 + 2 = 5.

5 Use a known small fact
Find the sum: 4 + 2 = □.
Show solution Hide solution

Count on from 4: 5, 6. So 4 + 2 = 6.

6 Start with the larger addend
Find the sum: 5 + 3 = □.
Show solution Hide solution

Start at the larger number, 5, and count on 3: 6, 7, 8. So 5 + 3 = 8.

7 Change the order
Find the sum: 2 + 6 = □.
Show solution Hide solution

Addition can be done in either order. Think 6 + 2: 7, 8. So 2 + 6 = 8.

8 Use a double
Find the sum: 4 + 4 = □.
Show solution Hide solution

This is a double fact. Four plus four is 8, so 4 + 4 = 8.

9 Know the double that makes 10
Find the sum: 5 + 5 = □.
Show solution Hide solution

Five and five make 10. So 5 + 5 = 10.

10 Use a near double
Find the sum: 4 + 5 = □.
Show solution Hide solution

Use the double 4 + 4 = 8, then add 1 more. 8 + 1 = 9, so 4 + 5 = 9.

11 Make 10
Find the sum: 3 + 7 = □.
Show solution Hide solution

Three and seven are partners that make 10. So 3 + 7 = 10.

12 Another make-10 fact
Find the sum: 6 + 4 = □.
Show solution Hide solution

Six needs 4 more to make 10. Therefore 6 + 4 = 10.

13 Subtract 1
Find the difference: 7 − 1 = □.
Show solution Hide solution

Subtracting 1 means moving back to the previous number. Before 7 comes 6, so 7 − 1 = 6.

14 Count back 2
Find the difference: 8 − 2 = □.
Show solution Hide solution

Start at 8 and count back two numbers: 7, 6. So 8 − 2 = 6.

15 Count back 3
Find the difference: 9 − 3 = □.
Show solution Hide solution

Count back from 9: 8, 7, 6. So 9 − 3 = 6.

16 Use a known half-of-10 fact
Find the difference: 10 − 5 = □.
Show solution Hide solution

Five and five make 10. If one group of 5 is taken away, 5 remains. So 10 − 5 = 5.

17 Use a double to subtract
Find the difference: 8 − 4 = □.
Show solution Hide solution

Because 4 + 4 = 8, taking 4 away from 8 leaves 4. So 8 − 4 = 4.

18 Think addition
Find the difference: 10 − 7 = □.
Show solution Hide solution

Ask: 7 plus what makes 10? Since 7 + 3 = 10, 10 − 7 = 3.

19 Use a related addition fact
Find the difference: 9 − 6 = □.
Show solution Hide solution

Think 6 + □ = 9. Since 6 + 3 = 9, 9 − 6 = 3.

20 Use a fact family
Use the numbers 3, 5, and 8 to write the fact family.
Show solution Hide solution

The related facts are 3 + 5 = 8, 5 + 3 = 8, 8 − 3 = 5, and 8 − 5 = 3. Knowing one fact helps you know the others.

21 Find a missing addend to make 10
Find the missing number: 6 + □ = 10.
Show solution Hide solution

Think of a partner for 6 that makes 10. Since 6 + 4 = 10, □ = 4.

22 Find an unknown first addend
Find the missing number: □ + 2 = 9.
Show solution Hide solution

Ask: what number plus 2 makes 9? Since 7 + 2 = 9, □ = 7.

23 Find a missing amount taken away
Find the missing number: 7 − □ = 4.
Show solution Hide solution

Think: what must be taken from 7 to leave 4? Since 7 − 3 = 4, □ = 3.

24 Use addition to solve subtraction
Find the missing number: 9 − □ = 5.
Show solution Hide solution

Think 5 + □ = 9. Since 5 + 4 = 9, □ = 4.

25 Switch between related facts
First solve 4 + 3. Then use that fact to solve 7 − 4.
Show solution Hide solution

Since 4 + 3 = 7, the related subtraction fact is 7 − 4 = 3. So the answers are 7 and 3.

๐ŸŽฎ Independent Practice — 30 Problems

  1. Find the sum: 1 + 2 = □.
  2. Find the sum: 2 + 4 = □.
  3. Find the sum: 3 + 6 = □.
  4. Find the sum: 7 + 2 = □.
  5. Find the sum: 1 + 8 = □.
  6. Find the sum: 0 + 6 = □.
  7. Find the sum: 5 + 4 = □.
  8. Find the sum: 2 + 8 = □.
  9. Find the sum: 1 + 9 = □.
  10. Find the sum: 3 + 5 = □.
  11. Find the difference: 6 − 1 = □.
  12. Find the difference: 7 − 2 = □.
  13. Find the difference: 8 − 3 = □.
  14. Find the difference: 9 − 4 = □.
  15. Find the difference: 10 − 2 = □.
  16. Find the difference: 10 − 6 = □.
  17. Find the difference: 8 − 5 = □.
  18. Find the difference: 7 − 4 = □.
  19. Find the difference: 6 − 3 = □.
  20. Find the difference: 9 − 7 = □.
  21. Find the missing number: □ + 3 = 7.
  22. Find the missing number: 5 + □ = 9.
  23. Find the missing number: 8 − □ = 6.
  24. Find the missing number: □ − 4 = 5.
  25. Write the four fact-family equations using 2, 6, and 8.
  26. Which two of these numbers make 10: 6, 4, and 3?
  27. Solve 4 + 5. Then use the answer to solve 9 − 4.
  28. Write a related addition fact for 10 − 3 = 7.
  29. Do 2 + 5 and 9 − 2 have the same answer? Find both answers.
  30. Write one addition fact and one subtraction fact within 10 that both have an answer of 6.

๐Ÿ† Lesson Test — 15 Questions

  1. Find the sum: 1 + 3 = □.
  2. Find the sum: 1 + 5 = □.
  3. Find the sum: 3 + 3 = □.
  4. Find the sum: 1 + 7 = □.
  5. Find the sum: 0 + 10 = □.
  6. Find the difference: 5 − 2 = □.
  7. Find the difference: 6 − 4 = □.
  8. Find the difference: 7 − 5 = □.
  9. Find the difference: 8 − 6 = □.
  10. Find the difference: 10 − 8 = □.
  11. Find the missing number: □ + 3 = 5.
  12. Find the missing number: 10 − □ = 6.
  13. If 2 + 2 = 4, write a related subtraction fact.
  14. Write the four fact-family equations using 1, 6, and 7.
  15. Solve 9 − 1 and name a helpful strategy.

๐Ÿ” Complete Answer Key

Show practice answer key Hide practice answer key

Practice Answers

1. 3
2. 6
3. 9
4. 9
5. 9
6. 6
7. 9
8. 10
9. 10
10. 8
11. 5
12. 5
13. 5
14. 5
15. 8
16. 4
17. 3
18. 3
19. 3
20. 2
21. 4
22. 4
23. 2
24. 9
25. 2 + 6 = 8; 6 + 2 = 8; 8 − 2 = 6; 8 − 6 = 2.
26. 6 and 4.
27. 4 + 5 = 9; then 9 − 4 = 5.
28. Possible answer: 3 + 7 = 10.
29. Yes. 2 + 5 = 7 and 9 − 2 = 7.
30. Possible answer: 2 + 4 = 6 and 9 − 3 = 6.
Show test answer key Hide test answer key

Test Answers

1. 4
2. 6
3. 6
4. 8
5. 10
6. 3
7. 2
8. 2
9. 2
10. 2
11. 2
12. 4
13. 4 − 2 = 2.
14. 1 + 6 = 7; 6 + 1 = 7; 7 − 1 = 6; 7 − 6 = 1.
15. 8. Helpful strategy: subtract 1, or count back one.

๐Ÿ’ก Common Mistakes to Watch For

Starting from 1 every time
Use a known number or fact as your starting point instead of recounting everything.
Forgetting that addition facts can switch order
If you know 2 + 6 = 8, you also know 6 + 2 = 8.
Switching subtraction numbers
Addition can change order, but subtraction cannot: 8 − 3 is not the same as 3 − 8.
Rushing and losing accuracy
Fluency grows from correct, efficient thinking and repeated practice, not guessing quickly.
What comes next: Lesson 18 begins Unit 3 and uses tens and ones to add within 100, building on the addition facts and strategies developed in Unit 2.

๐Ÿ”— Related Lessons

Lesson 11 — Doubles, Near Doubles & Easier Facts Review anchor facts that can make basic addition faster and easier. Lesson 12 — Fact Families: Addition and Subtraction Review how related addition and subtraction facts work together.

๐Ÿ–จ️ Printable Companion

A future Addition & Subtraction Fluency Within 10 Practice Pack can include mixed fact practice, fact-family cards, make-10 activities, doubles review, missing-number facts, short fluency checks, and a complete answer key.

← Lesson 16: Addition & Subtraction Word Problems Within 20 Grade 1 Math Hub Next: Add Within 100 Using Tens and Ones

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