Fluency with Facts to 10 (examples, solutions, videos, worksheets ... - Free Printable

Let's solve each number sentence step by step and then determine the correct color based on the key.

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Step 1: Solve Each Equation

We'll go through each box one by one:

1. 5 + 2 = ___
→ 5 + 2 = 7
→ This is +2 (adding 2 to 5) → Green

2. 7 + 2 = ___
→ 7 + 2 = 9
→ This is +2 → Green

3. 2 + 3 = ___
→ 2 + 3 = 5
→ Not a double, not +1 or +2 directly. But let’s see:
→ 2 + 3 = 5 → this is +3, but not in the key. Wait — maybe it's not colored? Let's hold off.

4. 3 + 3 = ___
→ 3 + 3 = 6
→ This is a double → Red

5. 7 = 1 + ___
→ 7 = 1 + 6
→ So, 1 + 6 = 7 → This is +6, not matching any category. But wait — we're solving for the missing number. The equation is 7 = 1 + ___, so the missing number is 6.
→ But the pattern here is: 1 + 6 = 7 → not a double, not +1 or +2. However, this is not a standard fact pattern like doubles or +1. But perhaps we’re supposed to look at the type of problem.

Wait — let's re-express the coloring rule:

> Color doubles – Red
> Color +1 – Blue
> Color +2 – Green
> Color doubles +1 – Brown

So we need to classify the type of addition fact being used.

Let’s analyze each problem by its structure, not just the answer.

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Re-analyze each box by type

1. 5 + 2 = ___ → Adding 2 → +2 → Green

2. 7 + 2 = ___ → Adding 2 → +2 → Green

3. 2 + 3 = ___ → 2 + 3 = 5 → This is not a double, not +1, not +2. But 2 + 3 = 5 → could be seen as +3, which isn’t in the key. So maybe no color?

But wait — 2 + 3 is not a recognized pattern in the key. Let's skip for now.

4. 3 + 3 = ___ → 3 + 3 = 6 → Doubles → Red

5. 7 = 1 + ___ → So, 1 + ? = 7 → ? = 6 → This is 1 + 6 = 7 → adding 6 → not a pattern listed → no color?

But wait — maybe we should consider if it's doubles +1 or something?

Alternatively, perhaps the missing number is what matters?

No — the instruction says: "Solve the number sentences" and then "use the key to color".

The key is about types of addition facts.

Let’s list them again with categories:

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Now, categorize each problem:

1. 5 + 2 = ___ → Adding 2 → +2 → Green

2. 7 + 2 = ___ → Adding 2 → +2 → Green

3. 2 + 3 = ___ → 2 + 3 = 5 → This is not a double, not +1, not +2 → No color?
But wait — 2 + 3 = 5 → 3 is +1 more than 2 → but not a double.
Alternatively, think: Is this a doubles +1?
Doubles +1: e.g., 3 + 4 = 7 → that’s 3 + (3+1) = 7 → so doubles +1
But 2 + 3 = 2 + (2+1) → yes! That’s doubles +1
→ Brown

✔ Yes! 2 + 3 = 2 + (2+1) → doubles +1 → Brown

4. 3 + 3 = ___ → Double → Red

5. 7 = 1 + ___ → 1 + ? = 7 → ? = 6 → So it's 1 + 6 = 7 → 6 is +5 from 1 → not helpful
But maybe this is not a pattern? Or perhaps it's +6? No.
But notice: 1 + 6 = 7 → this is not a double, not +1, not +2, not doubles+1 → No color

Wait — maybe we misread. Is this meant to be a fact like “7 = 1 + 6”? Then it's just a missing addend. But the structure is 1 + 6, so it's +6 → not in key → No color

But let’s look at the next ones.

6. 2 = 1 + ___ → 1 + ? = 2 → ? = 1 → So 1 + 1 = 2 → That’s a double!
→ Double → Red

7. ___ = 4 + 4 → So blank = 8 → 4 + 4 → Double → Red

8. 8 + 2 = ___ → Adding 2 → +2 → Green

9. 3 + 4 = ___ → 3 + 4 = 7 → 3 + (3+1) = 7 → doubles +1 → Brown

10. ___ = 5 + 4 → Blank = 9 → 5 + 4 → 4 = 5 -1 → so 5 + (5-1) = 9 → not a double, but 5 + 4 = 9 → is this doubles +1?
5 + 4 = 5 + (5 -1) → not the same as doubles +1
Doubles +1 means: x + (x+1), like 3+4, 4+5, etc.
So 5 + 4 = 4 + 5 → yes! That's 4 + 5 → which is doubles +1 (since 4 + 5 = 4 + (4+1))
→ So doubles +1 → Brown

11. 10 = 1 + ___ → 1 + ? = 10 → ? = 9 → 1 + 9 = 10 → not a pattern → No color

12. 10 = 5 + ___ → 5 + ? = 10 → ? = 5 → 5 + 5 = 10 → Double → Red

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Now let’s fill in all answers and colors:

| Problem | Answer | Type | Color |
|--------|--------|------|-------|
| 5 + 2 = ___ | 7 | +2 | Green |
| 7 + 2 = ___ | 9 | +2 | Green |
| 2 + 3 = ___ | 5 | doubles +1 (2 + 3 = 2 + (2+1)) | Brown |
| 3 + 3 = ___ | 6 | double | Red |
| 7 = 1 + ___ | 6 | 1 + 6 → not in key | No color |
| 2 = 1 + ___ | 1 | 1 + 1 → double | Red |
| ___ = 4 + 4 | 8 | double | Red |
| 8 + 2 = ___ | 10 | +2 | Green |
| 3 + 4 = ___ | 7 | 3 + 4 = 3 + (3+1) → doubles +1 | Brown |
| ___ = 5 + 4 | 9 | 5 + 4 = 4 + 5 → doubles +1 | Brown |
| 10 = 1 + ___ | 9 | 1 + 9 → not in key | No color |
| 10 = 5 + ___ | 5 | 5 + 5 → double | Red |

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Final Answers and Colors:

1. 5 + 2 = 7 → Green
2. 7 + 2 = 9 → Green
3. 2 + 3 = 5 → Brown
4. 3 + 3 = 6 → Red
5. 7 = 1 + 6 → No color (or leave blank)
6. 2 = 1 + 1 → Red
7. 8 = 4 + 4 → Red
8. 8 + 2 = 10 → Green
9. 3 + 4 = 7 → Brown
10. 9 = 5 + 4 → Brown
11. 10 = 1 + 9 → No color
12. 10 = 5 + 5 → Red

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Summary of Coloring:

- Red (Doubles):
- 3 + 3 = 6
- 2 = 1 + 1
- 8 = 4 + 4
- 10 = 5 + 5

- Green (+2):
- 5 + 2 = 7
- 7 + 2 = 9
- 8 + 2 = 10

- Brown (Doubles +1):
- 2 + 3 = 5
- 3 + 4 = 7
- 9 = 5 + 4

- No color:
- 7 = 1 + 6
- 10 = 1 + 9

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Final Answer (with solutions):

```
5 + 2 = 7 → Green
7 + 2 = 9 → Green
2 + 3 = 5 → Brown
3 + 3 = 6 → Red
7 = 1 + 6 → (No color)
2 = 1 + 1 → Red
8 = 4 + 4 → Red
8 + 2 = 10 → Green
3 + 4 = 7 → Brown
9 = 5 + 4 → Brown
10 = 1 + 9 → (No color)
10 = 5 + 5 → Red
```

✔ Explanation:
- Doubles: Same numbers added (e.g., 3+3, 5+5) → Red
- +2: Adding 2 to a number (e.g., 5+2) → Green
- Doubles +1: One number is one more than the other (e.g., 2+3=5, 3+4=7) → Brown
- +1: Adding 1 (not present here, but would be blue)
- Some problems are not in the key (like 1+6=7), so they don't get colored.

You can now color the boxes accordingly. Once colored, you don’t need to recolor.