Adding Integers Puzzle with yellow triangles displaying math problems and answers.
A close-up of a purple "Adding Integers Puzzle" worksheet with yellow triangular pieces featuring integer addition problems and solutions.
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Step-by-step solution for: Adding Integers Puzzle 7.NS.A.1
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Show Answer Key & Explanations
Step-by-step solution for: Adding Integers Puzzle 7.NS.A.1
It looks like you've uploaded a photo of an "Adding Integers Puzzle", where yellow triangular pieces have integer addition problems and their results. The goal of such puzzles is typically to match the expression on one side of a triangle with its correct sum on another triangle, forming a larger shape (like a hexagon or star) when all pieces fit correctly.
Let’s analyze what we can see in your image:
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1. Triangle 1:
- Expression: $-15 + 6$
- Result: $-9$
✔ Because: $-15 + 6 = -9$
2. Triangle 2 (center):
- Expression: $-10 + 4$
- Result: $-6$
✔ Because: $-10 + 4 = -6$
3. Triangle 3:
- Expression: $5 + 4$
- Result: $9$
✔ Because: $5 + 4 = 9$
4. Triangle 4:
- Expression: $-7 + 7$
- Result: $0$
✔ Because: $-7 + 7 = 0$
5. Triangle 5:
- Expression: $-10$
- This appears to be just a number, possibly the result of some expression.
---
Each triangle has:
- One addition problem (e.g., $-10 + 4$)
- And its answer (e.g., $-6$)
The puzzle likely involves matching triangles so that:
- The result of one triangle matches the expression of another.
- For example, a triangle with $-10 + 4 = -6$ should connect to a triangle with $-6$ or another expression that equals $-6$.
---
Let’s suppose the puzzle uses these rules:
- Each edge of a triangle has either an expression or a result.
- You must align edges so that expressions and their correct answers match.
So for instance:
- A triangle with $-15 + 6$ (which equals $-9$) should be adjacent to a triangle with $-9$.
- A triangle with $-10 + 4 = -6$ should connect to a triangle labeled $-6$, or another expression that evaluates to $-6$ (like $-8 + 2$, etc.).
---
1. Solve each expression on the triangles.
2. Match each expression to its correct sum.
3. Arrange the triangles so that matching numbers/expressions are on adjacent sides.
4. Complete the puzzle by forming a closed shape (like a hexagon or star), where every edge matches.
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| Expression | Answer |
|-------------------|--------|
| $-15 + 6$ | $-9$ |
| $-10 + 4$ | $-6$ |
| $5 + 4$ | $9$ |
| $-7 + 7$ | $0$ |
| $-10$ | (likely a result) |
Now, if there’s a triangle with $-9$, it should go next to $-15 + 6$.
Similarly, $-6$ goes with $-10 + 4$, and so on.
---
Since only part of the puzzle is visible, I can't show the full solution, but here’s how to complete it:
✔ Steps to Solve:
1. Write down all expressions and their sums.
2. Match each expression to its sum.
3. Arrange the triangles so that adjacent edges have equal values.
4. Ensure no gaps or mismatches.
If you can provide more of the puzzle (or list all expressions and answers), I can help reconstruct the full solution!
Would you like me to generate a sample completed layout based on common versions of this puzzle?
Let’s analyze what we can see in your image:
---
Visible Triangles:
1. Triangle 1:
- Expression: $-15 + 6$
- Result: $-9$
✔ Because: $-15 + 6 = -9$
2. Triangle 2 (center):
- Expression: $-10 + 4$
- Result: $-6$
✔ Because: $-10 + 4 = -6$
3. Triangle 3:
- Expression: $5 + 4$
- Result: $9$
✔ Because: $5 + 4 = 9$
4. Triangle 4:
- Expression: $-7 + 7$
- Result: $0$
✔ Because: $-7 + 7 = 0$
5. Triangle 5:
- Expression: $-10$
- This appears to be just a number, possibly the result of some expression.
---
How the Puzzle Works:
Each triangle has:
- One addition problem (e.g., $-10 + 4$)
- And its answer (e.g., $-6$)
The puzzle likely involves matching triangles so that:
- The result of one triangle matches the expression of another.
- For example, a triangle with $-10 + 4 = -6$ should connect to a triangle with $-6$ or another expression that equals $-6$.
---
Example Matching:
Let’s suppose the puzzle uses these rules:
- Each edge of a triangle has either an expression or a result.
- You must align edges so that expressions and their correct answers match.
So for instance:
- A triangle with $-15 + 6$ (which equals $-9$) should be adjacent to a triangle with $-9$.
- A triangle with $-10 + 4 = -6$ should connect to a triangle labeled $-6$, or another expression that evaluates to $-6$ (like $-8 + 2$, etc.).
---
Step-by-step Solution Strategy:
1. Solve each expression on the triangles.
2. Match each expression to its correct sum.
3. Arrange the triangles so that matching numbers/expressions are on adjacent sides.
4. Complete the puzzle by forming a closed shape (like a hexagon or star), where every edge matches.
---
Let's Solve What We Can:
| Expression | Answer |
|-------------------|--------|
| $-15 + 6$ | $-9$ |
| $-10 + 4$ | $-6$ |
| $5 + 4$ | $9$ |
| $-7 + 7$ | $0$ |
| $-10$ | (likely a result) |
Now, if there’s a triangle with $-9$, it should go next to $-15 + 6$.
Similarly, $-6$ goes with $-10 + 4$, and so on.
---
Final Notes:
Since only part of the puzzle is visible, I can't show the full solution, but here’s how to complete it:
✔ Steps to Solve:
1. Write down all expressions and their sums.
2. Match each expression to its sum.
3. Arrange the triangles so that adjacent edges have equal values.
4. Ensure no gaps or mismatches.
If you can provide more of the puzzle (or list all expressions and answers), I can help reconstruct the full solution!
Would you like me to generate a sample completed layout based on common versions of this puzzle?
Parent Tip: Review the logic above to help your child master the concept of integer puzzle worksheet.