6 Dice Games for Math That Are Simple and Fun (+FREEBIE) - The ... - Free Printable
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Step-by-step solution for: 6 Dice Games for Math That Are Simple and Fun (+FREEBIE) - The ...
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Step-by-step solution for: 6 Dice Games for Math That Are Simple and Fun (+FREEBIE) - The ...
The image shows a math game called "Make That Number – 3 Digits", which is designed to help players practice addition and subtraction using dice. Let's break down the problem and explain how to solve it step by step.
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Objective:
Players take turns rolling three dice, then use addition or subtraction of the dice values to match one of the numbers on the board. The goal is to cover or color as many numbers as possible. The player who covers the most numbers wins.
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1. Roll 3 dice.
2. Add or subtract the numbers to get a total.
3. If that total matches a number on the board, you can color or cover that number.
4. If you cannot make any of the remaining numbers on the board with the dice roll, you lose your turn.
5. The player who covers the most numbers wins.
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- Three dice are visible:
- One shows 6
- One shows 3
- One shows 2
- So, the rolled numbers are: 6, 3, and 2
- The board has numbers from 0 to 18, arranged in a grid.
- Some numbers are already colored:
- Light green: 14, 1, 18, 4
- Blue: 8, 12, 0, 2
- These likely represent numbers already claimed by players.
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We need to determine what numbers we can form using addition and subtraction of 6, 3, and 2.
Let’s explore all possible combinations:
#### ✔ Addition:
- 6 + 3 + 2 = 11
- 6 + 3 = 9
- 6 + 2 = 8
- 3 + 2 = 5
- 6 = 6
- 3 = 3
- 2 = 2
#### ✔ Subtraction:
- 6 - 3 = 3
- 6 - 2 = 4
- 3 - 2 = 1
- 6 - 3 - 2 = 1
- 6 + 3 - 2 = 7
- 6 - 3 + 2 = 5
- 3 + 2 - 6 = -1 → not on board
- 6 + 2 - 3 = 5
- 3 - 6 + 2 = -1
- etc.
Now let’s list all possible results that are valid (between 0 and 18):
- 11 (6+3+2)
- 9 (6+3)
- 8 (6+2)
- 7 (6+3−2)
- 6
- 5 (3+2 or 6−1)
- 4 (6−2)
- 3
- 2
- 1 (3−2 or 6−3−2)
- 0 (6−3−3, but only one 3 — so no) → wait, can we do 6−3−2=1? Yes → 1
- 14? No way
- 12? 6+3+2=11, 6+6=12 but only one 6 → no
Wait — can we make 12?
- 6 + 3 + 2 = 11 → too low
- 6 × 2 = 12, but multiplication is not allowed per rules (only add/subtract)
So no multiplication.
Can we make 12?
- 6 + 3 + 2 = 11 → no
- 6 + 6 = 12 → only one 6 → no
- 3 × 4 → no multiplication
→ So 12 cannot be made
But wait — maybe we're missing something?
Let’s re-check:
Possible totals from 6, 3, 2 using only addition and subtraction:
| Expression | Result |
|-----------|--------|
| 6 + 3 + 2 | 11 ✔ |
| 6 + 3 | 9 ✔ |
| 6 + 2 | 8 ✔ |
| 3 + 2 | 5 ✔ |
| 6 | 6 ✔ |
| 3 | 3 ✔ |
| 2 | 2 ✔ |
| 6 - 3 | 3 ✔ |
| 6 - 2 | 4 ✔ |
| 3 - 2 | 1 ✔ |
| 6 - 3 - 2 | 1 ✔ |
| 6 + 3 - 2 | 7 ✔ |
| 6 - 3 + 2 | 5 ✔ |
| 3 + 2 - 6 | -1 ✘ |
| 6 + 2 - 3 | 5 ✔ |
| 3 - 6 + 2 | -1 ✘ |
So possible results:
1, 2, 3, 4, 5, 6, 7, 8, 9, 11
Now check which of these are still available on the board.
From the image:
- Colored numbers (already taken):
- Blue: 8, 12, 0, 2
- Green: 14, 1, 18, 4
- So taken: 0, 1, 2, 4, 8, 12, 14, 18
Available numbers from our list:
From {1,2,3,4,5,6,7,8,9,11}
Remove taken:
- Remove 1, 2, 4, 8 → left with: 3, 5, 6, 7, 9, 11
✔ So you can color any of these if they’re still uncovered.
Check the board:
- 3 → appears multiple times → not colored → can be colored
- 5 → appears → not colored → ✔
- 6 → appears → not colored → ✔
- 7 → appears → not colored → ✔
- 9 → appears → not colored → ✔
- 11 → appears → not colored → ✔
So with dice roll (6, 3, 2), you can make any of:
👉 3, 5, 6, 7, 9, 11
Choose one of them to color.
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Answer:
With dice showing 6, 3, and 2, you can make the following numbers:
3, 5, 6, 7, 9, 11
You should color one of these numbers on the board that hasn’t been taken yet.
> Example: Choose 11 (since it's high and might be hard to make later).
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- Try to block your opponent by covering numbers that are hard to make.
- Prioritize numbers that are harder to reach (like 17, 18, 1, 0).
- Be strategic: don’t just go for easy ones like 6 or 3 — save those for when needed.
- Keep track of which numbers are covered.
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- Dice rolled: 6, 3, 2
- Possible totals: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11
- Available on board: 3, 5, 6, 7, 9, 11
- Action: Color one of these (e.g., 11 or 9)
🎯 Best move: Color 11 — it's high and less common to make.
Let me know if you want to simulate a full game! 🎲✏️
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🔹 Game Overview
Objective:
Players take turns rolling three dice, then use addition or subtraction of the dice values to match one of the numbers on the board. The goal is to cover or color as many numbers as possible. The player who covers the most numbers wins.
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🔹 Rules Recap (from the image)
1. Roll 3 dice.
2. Add or subtract the numbers to get a total.
3. If that total matches a number on the board, you can color or cover that number.
4. If you cannot make any of the remaining numbers on the board with the dice roll, you lose your turn.
5. The player who covers the most numbers wins.
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🔹 What’s Happening in the Image?
- Three dice are visible:
- One shows 6
- One shows 3
- One shows 2
- So, the rolled numbers are: 6, 3, and 2
- The board has numbers from 0 to 18, arranged in a grid.
- Some numbers are already colored:
- Light green: 14, 1, 18, 4
- Blue: 8, 12, 0, 2
- These likely represent numbers already claimed by players.
---
🔹 Step-by-Step Solution: What Can You Make with Dice (6, 3, 2)?
We need to determine what numbers we can form using addition and subtraction of 6, 3, and 2.
Let’s explore all possible combinations:
#### ✔ Addition:
- 6 + 3 + 2 = 11
- 6 + 3 = 9
- 6 + 2 = 8
- 3 + 2 = 5
- 6 = 6
- 3 = 3
- 2 = 2
#### ✔ Subtraction:
- 6 - 3 = 3
- 6 - 2 = 4
- 3 - 2 = 1
- 6 - 3 - 2 = 1
- 6 + 3 - 2 = 7
- 6 - 3 + 2 = 5
- 3 + 2 - 6 = -1 → not on board
- 6 + 2 - 3 = 5
- 3 - 6 + 2 = -1
- etc.
Now let’s list all possible results that are valid (between 0 and 18):
- 11 (6+3+2)
- 9 (6+3)
- 8 (6+2)
- 7 (6+3−2)
- 6
- 5 (3+2 or 6−1)
- 4 (6−2)
- 3
- 2
- 1 (3−2 or 6−3−2)
- 0 (6−3−3, but only one 3 — so no) → wait, can we do 6−3−2=1? Yes → 1
- 14? No way
- 12? 6+3+2=11, 6+6=12 but only one 6 → no
Wait — can we make 12?
- 6 + 3 + 2 = 11 → too low
- 6 × 2 = 12, but multiplication is not allowed per rules (only add/subtract)
So no multiplication.
Can we make 12?
- 6 + 3 + 2 = 11 → no
- 6 + 6 = 12 → only one 6 → no
- 3 × 4 → no multiplication
→ So 12 cannot be made
But wait — maybe we're missing something?
Let’s re-check:
Possible totals from 6, 3, 2 using only addition and subtraction:
| Expression | Result |
|-----------|--------|
| 6 + 3 + 2 | 11 ✔ |
| 6 + 3 | 9 ✔ |
| 6 + 2 | 8 ✔ |
| 3 + 2 | 5 ✔ |
| 6 | 6 ✔ |
| 3 | 3 ✔ |
| 2 | 2 ✔ |
| 6 - 3 | 3 ✔ |
| 6 - 2 | 4 ✔ |
| 3 - 2 | 1 ✔ |
| 6 - 3 - 2 | 1 ✔ |
| 6 + 3 - 2 | 7 ✔ |
| 6 - 3 + 2 | 5 ✔ |
| 3 + 2 - 6 | -1 ✘ |
| 6 + 2 - 3 | 5 ✔ |
| 3 - 6 + 2 | -1 ✘ |
So possible results:
1, 2, 3, 4, 5, 6, 7, 8, 9, 11
Now check which of these are still available on the board.
From the image:
- Colored numbers (already taken):
- Blue: 8, 12, 0, 2
- Green: 14, 1, 18, 4
- So taken: 0, 1, 2, 4, 8, 12, 14, 18
Available numbers from our list:
From {1,2,3,4,5,6,7,8,9,11}
Remove taken:
- Remove 1, 2, 4, 8 → left with: 3, 5, 6, 7, 9, 11
✔ So you can color any of these if they’re still uncovered.
Check the board:
- 3 → appears multiple times → not colored → can be colored
- 5 → appears → not colored → ✔
- 6 → appears → not colored → ✔
- 7 → appears → not colored → ✔
- 9 → appears → not colored → ✔
- 11 → appears → not colored → ✔
So with dice roll (6, 3, 2), you can make any of:
👉 3, 5, 6, 7, 9, 11
Choose one of them to color.
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🔹 Final Answer & Strategy
Answer:
With dice showing 6, 3, and 2, you can make the following numbers:
3, 5, 6, 7, 9, 11
You should color one of these numbers on the board that hasn’t been taken yet.
> Example: Choose 11 (since it's high and might be hard to make later).
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🔹 Tips for Winning
- Try to block your opponent by covering numbers that are hard to make.
- Prioritize numbers that are harder to reach (like 17, 18, 1, 0).
- Be strategic: don’t just go for easy ones like 6 or 3 — save those for when needed.
- Keep track of which numbers are covered.
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✔ Summary
- Dice rolled: 6, 3, 2
- Possible totals: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11
- Available on board: 3, 5, 6, 7, 9, 11
- Action: Color one of these (e.g., 11 or 9)
🎯 Best move: Color 11 — it's high and less common to make.
Let me know if you want to simulate a full game! 🎲✏️
Parent Tip: Review the logic above to help your child master the concept of printable dice games for math.