Teaching Squared - Thousands of Free Worksheets! - Free Printable
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Step-by-step solution for: Teaching Squared - Thousands of Free Worksheets!
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Show Answer Key & Explanations
Step-by-step solution for: Teaching Squared - Thousands of Free Worksheets!
This is a math puzzle from "Journey Land" by Teaching Squared, where the goal is to navigate through a path of numbered tiles, starting from the starting block (with a cube icon) and ending at the final blank box, adding up the values as you go. The challenge is to find the total sum after moving through all the numbered tiles in sequence.
Let’s break it down step by step.
---
We start at the leftmost square with the cube icon. From there, we follow the path across the grid, moving only through the connected squares that have numbers. Each number indicates how much to add to our running total.
The path goes from left to right, and the layout appears to be designed so that you move through each tile once, following the connected blocks.
Let’s trace the path:
We’ll list all the +values in order, following the path.
---
Starting from the left:
1. +1 → First tile
2. +8
3. +5
4. Then +5 (this one is on the bottom row, connecting to the next section)
5. +2
6. +5
7. +4
8. +10
9. +10
10. +4
11. +7 (bottom row)
12. +3
13. +6
14. +5
15. +2
16. +7
17. +5
18. +5 (bottom row)
19. +4
20. +2
21. +3
22. +5
23. +4
24. +3
25. +5
26. +9
27. +7
28. +1
Wait — let's carefully map the grid to avoid missing or double-counting.
---
Let’s reconstruct the path by analyzing the structure.
It looks like the path moves through connected tiles, going down and then right, forming a snake-like route.
But looking closely, this seems to be a path-based addition game, where you must go from start to finish, collecting all the +numbers along the way.
Let’s label the tiles row by row, but actually, since it's a maze-like path, we need to follow the connected tiles.
Looking at the image:
- Start at the top-left corner, marked with a cube.
- Then: +1
- Then down: +8
- Then down: +5
- Then right: +5 (bottom row, first column)
- Then right: +2
- Then down: +5
- Then down: +4
- Then right: +10
- Then down: +10
- Then down: +4
- Then right: +7
- Then right: +3
- Then down: +6
- Then down: +5
- Then right: +2
- Then down: +7
- Then down: +5
- Then right: +5
- Then right: +4
- Then down: +2
- Then down: +3
- Then right: +5
- Then down: +4
- Then down: +3
- Then right: +5
- Then right: +9
- Then down: +7
- Then right: +1
- Then finally to the last empty box
Wait — we may be overcomplicating.
Actually, let’s count all the + values shown on the board, assuming we must pass through every one once, in order.
Let’s extract them in order of traversal.
From the visual layout:
The path seems to be:
1. Start at beginning (no value)
2. +1 (first tile)
3. +8 (below +1)
4. +5 (below +8)
5. +5 (to the right, bottom row)
6. +2 (above +5, in second column)
7. +5 (below +2)
8. +4 (below +5)
9. +10 (to the right of +4)
10. +10 (below +10)
11. +4 (below +10)
12. +7 (to the right of +4)
13. +3 (above +7)
14. +6 (below +3)
15. +5 (below +6)
16. +2 (to the right of +5)
17. +7 (below +2)
18. +5 (below +7)
19. +5 (to the right of +5)
20. +4 (above +5)
21. +2 (below +4)
22. +3 (below +2)
23. +5 (to the right of +3)
24. +4 (below +5)
25. +3 (below +4)
26. +5 (to the right of +3)
27. +9 (below +5)
28. +7 (below +9)
29. +1 (to the right of +7)
Then the final box is empty, which is the end point.
So we need to sum all these values.
---
Let’s write them clearly:
1. +1
2. +8
3. +5
4. +5
5. +2
6. +5
7. +4
8. +10
9. +10
10. +4
11. +7
12. +3
13. +6
14. +5
15. +2
16. +7
17. +5
18. +5
19. +4
20. +2
21. +3
22. +5
23. +4
24. +3
25. +5
26. +9
27. +7
28. +1
Now, add them all up.
---
Group them for easier calculation:
First group:
1 + 8 = 9
9 + 5 = 14
14 + 5 = 19
19 + 2 = 21
21 + 5 = 26
26 + 4 = 30
30 + 10 = 40
40 + 10 = 50
50 + 4 = 54
54 + 7 = 61
61 + 3 = 64
64 + 6 = 70
70 + 5 = 75
75 + 2 = 77
77 + 7 = 84
84 + 5 = 89
89 + 5 = 94
94 + 4 = 98
98 + 2 = 100
100 + 3 = 103
103 + 5 = 108
108 + 4 = 112
112 + 3 = 115
115 + 5 = 120
120 + 9 = 129
129 + 7 = 136
136 + 1 = 137
---
The total sum of all the values along the path is 137.
So, if you were to write the number in the final empty box, it would be:
> 137
---
This is a sequential addition puzzle where you:
- Start at the beginning (value = 0).
- Move through each tile in the path, adding the number on each tile.
- The final answer is the total sum of all added values.
By carefully tracing the path and adding all the numbers, we arrive at:
> ✔ Answer: 137
You can verify by counting again or using a calculator.
Let me know if you'd like a visual path trace!
Let’s break it down step by step.
---
🔍 Step 1: Understand the Path
We start at the leftmost square with the cube icon. From there, we follow the path across the grid, moving only through the connected squares that have numbers. Each number indicates how much to add to our running total.
The path goes from left to right, and the layout appears to be designed so that you move through each tile once, following the connected blocks.
Let’s trace the path:
We’ll list all the +values in order, following the path.
---
🧩 Path Tracing
Starting from the left:
1. +1 → First tile
2. +8
3. +5
4. Then +5 (this one is on the bottom row, connecting to the next section)
5. +2
6. +5
7. +4
8. +10
9. +10
10. +4
11. +7 (bottom row)
12. +3
13. +6
14. +5
15. +2
16. +7
17. +5
18. +5 (bottom row)
19. +4
20. +2
21. +3
22. +5
23. +4
24. +3
25. +5
26. +9
27. +7
28. +1
Wait — let's carefully map the grid to avoid missing or double-counting.
---
✔ Correct Grid Layout (Visual Interpretation)
Let’s reconstruct the path by analyzing the structure.
It looks like the path moves through connected tiles, going down and then right, forming a snake-like route.
But looking closely, this seems to be a path-based addition game, where you must go from start to finish, collecting all the +numbers along the way.
Let’s label the tiles row by row, but actually, since it's a maze-like path, we need to follow the connected tiles.
Looking at the image:
- Start at the top-left corner, marked with a cube.
- Then: +1
- Then down: +8
- Then down: +5
- Then right: +5 (bottom row, first column)
- Then right: +2
- Then down: +5
- Then down: +4
- Then right: +10
- Then down: +10
- Then down: +4
- Then right: +7
- Then right: +3
- Then down: +6
- Then down: +5
- Then right: +2
- Then down: +7
- Then down: +5
- Then right: +5
- Then right: +4
- Then down: +2
- Then down: +3
- Then right: +5
- Then down: +4
- Then down: +3
- Then right: +5
- Then right: +9
- Then down: +7
- Then right: +1
- Then finally to the last empty box
Wait — we may be overcomplicating.
Actually, let’s count all the + values shown on the board, assuming we must pass through every one once, in order.
Let’s extract them in order of traversal.
From the visual layout:
The path seems to be:
1. Start at beginning (no value)
2. +1 (first tile)
3. +8 (below +1)
4. +5 (below +8)
5. +5 (to the right, bottom row)
6. +2 (above +5, in second column)
7. +5 (below +2)
8. +4 (below +5)
9. +10 (to the right of +4)
10. +10 (below +10)
11. +4 (below +10)
12. +7 (to the right of +4)
13. +3 (above +7)
14. +6 (below +3)
15. +5 (below +6)
16. +2 (to the right of +5)
17. +7 (below +2)
18. +5 (below +7)
19. +5 (to the right of +5)
20. +4 (above +5)
21. +2 (below +4)
22. +3 (below +2)
23. +5 (to the right of +3)
24. +4 (below +5)
25. +3 (below +4)
26. +5 (to the right of +3)
27. +9 (below +5)
28. +7 (below +9)
29. +1 (to the right of +7)
Then the final box is empty, which is the end point.
So we need to sum all these values.
---
✔ List of All Numbers to Add:
Let’s write them clearly:
1. +1
2. +8
3. +5
4. +5
5. +2
6. +5
7. +4
8. +10
9. +10
10. +4
11. +7
12. +3
13. +6
14. +5
15. +2
16. +7
17. +5
18. +5
19. +4
20. +2
21. +3
22. +5
23. +4
24. +3
25. +5
26. +9
27. +7
28. +1
Now, add them all up.
---
✔ Step-by-step Addition:
Group them for easier calculation:
First group:
1 + 8 = 9
9 + 5 = 14
14 + 5 = 19
19 + 2 = 21
21 + 5 = 26
26 + 4 = 30
30 + 10 = 40
40 + 10 = 50
50 + 4 = 54
54 + 7 = 61
61 + 3 = 64
64 + 6 = 70
70 + 5 = 75
75 + 2 = 77
77 + 7 = 84
84 + 5 = 89
89 + 5 = 94
94 + 4 = 98
98 + 2 = 100
100 + 3 = 103
103 + 5 = 108
108 + 4 = 112
112 + 3 = 115
115 + 5 = 120
120 + 9 = 129
129 + 7 = 136
136 + 1 = 137
---
✔ Final Answer:
The total sum of all the values along the path is 137.
So, if you were to write the number in the final empty box, it would be:
> 137
---
✔ Explanation:
This is a sequential addition puzzle where you:
- Start at the beginning (value = 0).
- Move through each tile in the path, adding the number on each tile.
- The final answer is the total sum of all added values.
By carefully tracing the path and adding all the numbers, we arrive at:
> ✔ Answer: 137
You can verify by counting again or using a calculator.
Let me know if you'd like a visual path trace!
Parent Tip: Review the logic above to help your child master the concept of supermath worksheet.