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Step-by-step solution for: Fluency with Facts to 10 (examples, solutions, videos, worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: Fluency with Facts to 10 (examples, solutions, videos, worksheets ...
Let’s solve each number sentence step by step, then apply the coloring key.
---
We’ll fill in the blanks:
Row 1:
- 5 + 2 = 7
- 7 + 2 = 9
- 2 + 3 = 5
Row 2:
- 3 + 3 = 6 → This is a *double* (3+3)
- 7 = 1 + ___ → 7 - 1 = 6 → So, 6
- 2 = 1 + ___ → 2 - 1 = 1 → So, 1
Row 3:
- ___ = 4 + 4 → 8 → So, 8 (this is a *double*: 4+4)
- 8 + 2 = 10
- 3 + 4 = 7
Row 4:
- ___ = 5 + 4 → 9 → So, 9
- 10 = 1 + ___ → 10 - 1 = 9 → So, 9
- 10 = 5 + ___ → 10 - 5 = 5 → So, 5
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Here are the boxes with their answers:
1. 5 + 2 = 7
2. 7 + 2 = 9
3. 2 + 3 = 5
4. 3 + 3 = 6 ← double
5. 7 = 1 + 6
6. 2 = 1 + 1
7. 8 = 4 + 4 ← double
8. 8 + 2 = 10
9. 3 + 4 = 7
10. 9 = 5 + 4
11. 10 = 1 + 9
12. 10 = 5 + 5
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Coloring rules:
- Color doubles - Red → Any equation that is a “double” (same number added to itself): like 3+3, 4+4, etc.
- Color +1 - Blue → Equations where one addend is 1 (like 1+6, 1+9, 5+1, etc.)
- Color +2 - Green → Equations where one addend is 2 (like 5+2, 7+2, 8+2, etc.)
- Color doubles +1 - Brown → This likely means equations that are *doubles plus one*, like 3+4 (which is 3+3+1), or 5+6, etc. — but let’s check what fits.
Wait — let’s interpret the key carefully.
It says:
> Color doubles - Red
> Color +1 - Blue
> Color +2 - Green
> Color doubles +1 - Brown
This might mean:
- “doubles” → e.g., 3+3, 4+4 → Red
- “+1” → any equation involving adding 1 → Blue (e.g., 1+6, 1+9, 2=1+1)
- “+2” → any equation involving adding 2 → Green (e.g., 5+2, 7+2, 8+2)
- “doubles +1” → this probably refers to equations that are “one more than a double”, like 3+4 = 7 (since 3+3=6, so 3+4=6+1) → Brown
So we need to classify each box based on its *structure*, not just the answer.
Let’s go box by box:
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#### Box 1: 5 + 2 = 7 → involves +2 → Green
#### Box 2: 7 + 2 = 9 → involves +2 → Green
#### Box 3: 2 + 3 = 5 → neither +1 nor +2 nor double → But wait — it’s 2+3. Is this “doubles +1”? 2+2=4, 2+3=5 → yes, 2+3 = (2+2)+1 → so Brown
Alternatively, if “doubles +1” means equations like 3+4, 4+5, etc., then 2+3 qualifies.
✔ So: Brown
#### Box 4: 3 + 3 = 6 → Double → Red
#### Box 5: 7 = 1 + 6 → involves +1 → Blue
#### Box 6: 2 = 1 + 1 → involves +1, and also double (1+1) → But the instruction says: “Once the box is colored, you do not need to color it again.” So which rule takes priority?
Looking at the key, “Color doubles” is listed first, then “+1”, etc. But 1+1 is both a double AND involves +1.
However, since “doubles” is a separate category, and 1+1 is a double, we should color it Red.
But wait — the equation is written as 2 = 1 + 1 — so it’s explicitly showing a double. So Red.
✔ Red
#### Box 7: 8 = 4 + 4 → Double → Red
#### Box 8: 8 + 2 = 10 → involves +2 → Green
#### Box 9: 3 + 4 = 7 → 3+4 = (3+3)+1 → so doubles +1 → Brown
#### Box 10: 9 = 5 + 4 → 5+4 = (5+5)-1? No. But 4+5 = (4+4)+1 → yes! So 5+4 is same as 4+5 → doubles +1 → Brown
#### Box 11: 10 = 1 + 9 → involves +1 → Blue
#### Box 12: 10 = 5 + 5 → Double → Red
---
| Box | Equation | Answer | Color Rule | Color |
|-----|------------------|--------|------------------------|--------|
| 1 | 5 + 2 = 7 | 7 | +2 | Green |
| 2 | 7 + 2 = 9 | 9 | +2 | Green |
| 3 | 2 + 3 = 5 | 5 | doubles +1 (2+3=2+2+1) | Brown |
| 4 | 3 + 3 = 6 | 6 | double | Red |
| 5 | 7 = 1 + 6 | 6 | +1 | Blue |
| 6 | 2 = 1 + 1 | 1 | double (1+1) | Red |
| 7 | 8 = 4 + 4 | 8 | double | Red |
| 8 | 8 + 2 = 10 | 10 | +2 | Green |
| 9 | 3 + 4 = 7 | 7 | doubles +1 (3+4=3+3+1) | Brown |
|10 | 9 = 5 + 4 | 9 | doubles +1 (4+5=4+4+1) | Brown |
|11 | 10 = 1 + 9 | 9 | +1 | Blue |
|12 | 10 = 5 + 5 | 5 | double | Red |
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You would color the boxes as follows:
- Red: Boxes 4, 6, 7, 12 (all doubles)
- Blue: Boxes 5, 11 (involving +1)
- Green: Boxes 1, 2, 8 (involving +2)
- Brown: Boxes 3, 9, 10 (doubles +1)
---
📌 Note: Since you mentioned “once the box is colored, you do not need to color it again,” even if an equation fits multiple categories (like 1+1 being both double and +1), we assign the most specific or first-listed category — here, “doubles” takes precedence for Box 6.
---
✔ All problems solved and colored according to key.
---
Step 1: Solve all the equations
We’ll fill in the blanks:
Row 1:
- 5 + 2 = 7
- 7 + 2 = 9
- 2 + 3 = 5
Row 2:
- 3 + 3 = 6 → This is a *double* (3+3)
- 7 = 1 + ___ → 7 - 1 = 6 → So, 6
- 2 = 1 + ___ → 2 - 1 = 1 → So, 1
Row 3:
- ___ = 4 + 4 → 8 → So, 8 (this is a *double*: 4+4)
- 8 + 2 = 10
- 3 + 4 = 7
Row 4:
- ___ = 5 + 4 → 9 → So, 9
- 10 = 1 + ___ → 10 - 1 = 9 → So, 9
- 10 = 5 + ___ → 10 - 5 = 5 → So, 5
---
Step 2: List all completed equations with their results
Here are the boxes with their answers:
1. 5 + 2 = 7
2. 7 + 2 = 9
3. 2 + 3 = 5
4. 3 + 3 = 6 ← double
5. 7 = 1 + 6
6. 2 = 1 + 1
7. 8 = 4 + 4 ← double
8. 8 + 2 = 10
9. 3 + 4 = 7
10. 9 = 5 + 4
11. 10 = 1 + 9
12. 10 = 5 + 5
---
Step 3: Apply the coloring key
Coloring rules:
- Color doubles - Red → Any equation that is a “double” (same number added to itself): like 3+3, 4+4, etc.
- Color +1 - Blue → Equations where one addend is 1 (like 1+6, 1+9, 5+1, etc.)
- Color +2 - Green → Equations where one addend is 2 (like 5+2, 7+2, 8+2, etc.)
- Color doubles +1 - Brown → This likely means equations that are *doubles plus one*, like 3+4 (which is 3+3+1), or 5+6, etc. — but let’s check what fits.
Wait — let’s interpret the key carefully.
It says:
> Color doubles - Red
> Color +1 - Blue
> Color +2 - Green
> Color doubles +1 - Brown
This might mean:
- “doubles” → e.g., 3+3, 4+4 → Red
- “+1” → any equation involving adding 1 → Blue (e.g., 1+6, 1+9, 2=1+1)
- “+2” → any equation involving adding 2 → Green (e.g., 5+2, 7+2, 8+2)
- “doubles +1” → this probably refers to equations that are “one more than a double”, like 3+4 = 7 (since 3+3=6, so 3+4=6+1) → Brown
So we need to classify each box based on its *structure*, not just the answer.
Let’s go box by box:
---
#### Box 1: 5 + 2 = 7 → involves +2 → Green
#### Box 2: 7 + 2 = 9 → involves +2 → Green
#### Box 3: 2 + 3 = 5 → neither +1 nor +2 nor double → But wait — it’s 2+3. Is this “doubles +1”? 2+2=4, 2+3=5 → yes, 2+3 = (2+2)+1 → so Brown
Alternatively, if “doubles +1” means equations like 3+4, 4+5, etc., then 2+3 qualifies.
✔ So: Brown
#### Box 4: 3 + 3 = 6 → Double → Red
#### Box 5: 7 = 1 + 6 → involves +1 → Blue
#### Box 6: 2 = 1 + 1 → involves +1, and also double (1+1) → But the instruction says: “Once the box is colored, you do not need to color it again.” So which rule takes priority?
Looking at the key, “Color doubles” is listed first, then “+1”, etc. But 1+1 is both a double AND involves +1.
However, since “doubles” is a separate category, and 1+1 is a double, we should color it Red.
But wait — the equation is written as 2 = 1 + 1 — so it’s explicitly showing a double. So Red.
✔ Red
#### Box 7: 8 = 4 + 4 → Double → Red
#### Box 8: 8 + 2 = 10 → involves +2 → Green
#### Box 9: 3 + 4 = 7 → 3+4 = (3+3)+1 → so doubles +1 → Brown
#### Box 10: 9 = 5 + 4 → 5+4 = (5+5)-1? No. But 4+5 = (4+4)+1 → yes! So 5+4 is same as 4+5 → doubles +1 → Brown
#### Box 11: 10 = 1 + 9 → involves +1 → Blue
#### Box 12: 10 = 5 + 5 → Double → Red
---
Final Coloring Summary:
| Box | Equation | Answer | Color Rule | Color |
|-----|------------------|--------|------------------------|--------|
| 1 | 5 + 2 = 7 | 7 | +2 | Green |
| 2 | 7 + 2 = 9 | 9 | +2 | Green |
| 3 | 2 + 3 = 5 | 5 | doubles +1 (2+3=2+2+1) | Brown |
| 4 | 3 + 3 = 6 | 6 | double | Red |
| 5 | 7 = 1 + 6 | 6 | +1 | Blue |
| 6 | 2 = 1 + 1 | 1 | double (1+1) | Red |
| 7 | 8 = 4 + 4 | 8 | double | Red |
| 8 | 8 + 2 = 10 | 10 | +2 | Green |
| 9 | 3 + 4 = 7 | 7 | doubles +1 (3+4=3+3+1) | Brown |
|10 | 9 = 5 + 4 | 9 | doubles +1 (4+5=4+4+1) | Brown |
|11 | 10 = 1 + 9 | 9 | +1 | Blue |
|12 | 10 = 5 + 5 | 5 | double | Red |
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✔ Final Answer (Colored Boxes):
You would color the boxes as follows:
- Red: Boxes 4, 6, 7, 12 (all doubles)
- Blue: Boxes 5, 11 (involving +1)
- Green: Boxes 1, 2, 8 (involving +2)
- Brown: Boxes 3, 9, 10 (doubles +1)
---
📌 Note: Since you mentioned “once the box is colored, you do not need to color it again,” even if an equation fits multiple categories (like 1+1 being both double and +1), we assign the most specific or first-listed category — here, “doubles” takes precedence for Box 6.
---
✔ All problems solved and colored according to key.
Parent Tip: Review the logic above to help your child master the concept of math lessons for grade 1.