Skip Counting Ladder Exercise: Fill the ladder with cuisenaire rods equal to ten and skip count by ten for each rung.

Let's solve the Skip Counting Ladder Exercise step by step.

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🔍 Understanding the Task

We are given a ladder with 15 rungs (horizontal bars), each made up of Cuisenaire rods (color-coded rods of different lengths, where each color represents a specific number). The goal is:

1. Fill each rung with Cuisenaire rods that add up to 10.
2. Skip count by tens for each rung, meaning we label the right side of the ladder with numbers increasing by 10, starting from 10 at the top and going up to 150 at the bottom.

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🧩 Step 1: Understanding Cuisenaire Rod Values

Each color corresponds to a number:
- White = 1
- Red = 2
- Light Green = 3
- Purple = 4
- Yellow = 5
- Dark Green = 6
- Black = 7
- Brown = 8
- Blue = 9
- Orange = 10

So, each rung must sum to 10 using combinations of these rods.

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✔ Step 2: Skip Counting by Tens

We are told:
- The top rung is labeled 10
- The bottom rung is labeled 150
- There are 15 rungs, so we skip count by 10s from 10 to 150.

Let’s list the values for each rung:

| Rung # | Value |
|--------|-------|
| 1 | 10 |
| 2 | 20 |
| 3 | 30 |
| 4 | 40 |
| 5 | 50 |
| 6 | 60 |
| 7 | 70 |
| 8 | 80 |
| 9 | 90 |
| 10 | 100 |
| 11 | 110 |
| 12 | 120 |
| 13 | 130 |
| 14 | 140 |
| 15 | 150 |

So, we fill in the blank lines on the right side of the ladder accordingly.

> ✔ This part is straightforward — just write 10, 20, 30, ..., 150 down the side.

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🧱 Step 3: Verify Each Rung Adds to 10

Now, let’s check each rung visually and confirm it sums to 10.

We'll go row by row, identify the rod colors and their values, and add them.

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#### Rung 1 (Top):
- One orange rod → 10
✔ Sum = 10

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#### Rung 2:
- Two white (1), one red (2), one white (1), one red (2), one white (1), one white (1)
→ 1+1+2+1+2+1+1 = 9 ✘
Wait — but there are two red rods and four white rods?

Wait — actually, counting:
- 4 white (1) = 4
- 2 red (2) = 4
- Total = 8? That’s not enough.

Wait — let's recheck.

Actually, looking closely:
- Gray squares = white (1)
- Red rectangles = red (2)

So:
- 2 white (1) + 1 red (2) + 2 white (1) + 1 red (2) + 2 white (1) =
→ 1+1+2+1+1+2+1+1 = 9? Still 9.

Wait — maybe I miscounted.

Looking again:
- First: 2 gray (white) = 1+1 = 2
- Then: 1 red (2) = 2 → total = 4
- Then: 2 gray (1+1) = 2 → total = 6
- Then: 1 red (2) = 2 → total = 8
- Then: 2 gray (1+1) = 2 → total = 10

Yes! So:
- 2×1 + 2×1 + 2×1 = 6 whites → 6
- 2 reds → 2×2 = 4
- Total = 6 + 4 = 10 ✔

But wait — there are only 6 small gray squares (whites) and 2 reds → 6×1 + 2×2 = 6+4=10 ✔

So this rung is correct.

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#### Rung 3:
- 1 white (1) + 1 purple (4) + 1 white (1) + 1 purple (4)
→ 1+4+1+4 = 10 ✔

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#### Rung 4:
- Yellow (5) + Green (3) + Red (2) = 5+3+2 = 10 ✔

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#### Rung 5:
- One orange rod → 10 ✔

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#### Rung 6:
- Red (2) + Red (2) + Teal (6) = 2+2+6 = 10 ✔

Wait — teal is dark green? No — in standard Cuisenaire rods:
- Dark green = 6
- But here it's teal — likely representing 6.

Yes, so 2+2+6 = 10 ✔

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#### Rung 7:
- Green (3) + Purple (4) + Red (2) + White (1) = 3+4+2+1 = 10 ✔

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#### Rung 8:
- 5 whites (1 each) = 5
- 1 yellow (5) = 5 → total = 10 ✔

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#### Rung 9:
- Purple (4) + Red (2) + Red (2) + Red (2) = 4+2+2+2 = 10 ✔

Wait — three reds? Yes, three reds = 6, plus purple = 4 → 10 ✔

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#### Rung 10:
- Yellow (5) + Yellow (5) = 10 ✔

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#### Rung 11:
- Teal (6) + Purple (4) = 6+4 = 10 ✔

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#### Rung 12:
- Black (7) + Green (3) = 7+3 = 10 ✔

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#### Rung 13:
- Brown (8) + Red (2) = 8+2 = 10 ✔

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#### Rung 14:
- Blue (9) + White (1) = 9+1 = 10 ✔

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#### Rung 15:
- Orange (10) = 10 ✔

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✔ Final Answer Summary

#### Step 1: Fill the ladder with rods equal to ten
All rungs are already filled with combinations of rods that sum to 10. We’ve verified each one.

#### Step 2: Skip count by ten
Label the right-hand side as follows:

| Rung | Number |
|------|--------|
| 1 | 10 |
| 2 | 20 |
| 3 | 30 |
| 4 | 40 |
| 5 | 50 |
| 6 | 60 |
| 7 | 70 |
| 8 | 80 |
| 9 | 90 |
| 10 | 100 |
| 11 | 110 |
| 12 | 120 |
| 13 | 130 |
| 14 | 140 |
| 15 | 150 |

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📝 Instructions for Completion

To complete the worksheet:

1. On the right side, write the numbers:
- Start at 10 (top)
- Add 10 each time
- End at 150 (bottom)

So fill in:
```
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
```

2. Confirm that each rung uses rods totaling 10 — which they do.

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✔ Conclusion

This exercise helps students:
- Understand combinations that make 10
- Practice skip counting by 10s
- Use visual models (Cuisenaire rods) to build number sense

The task is correctly designed, and all rungs sum to 10. Just fill in the skip-counting numbers on the right!

Let me know if you'd like a printable version or a colored key!