Number Sense and Operations Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific growing patterns in your uploaded image. However, I can help you solve growing pattern problems like the one described in your worksheet if you describe the patterns or list the figures in each sequence.

Typically, a "growing pattern" involves a sequence of shapes that increase in a predictable way (e.g., adding more shapes, changing arrangement, increasing size, etc.). The goal is to identify the rule and draw the next figure in the sequence.

Here’s how we can approach such problems:

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Step-by-Step Guide to Solving Growing Patterns:

1. Observe the Sequence: Look at the first few figures in the pattern.
2. Identify What Changes: Count the number of shapes, their arrangement, color, orientation, or position.
3. Find the Rule: Determine how the pattern grows from one step to the next (e.g., +1 shape, +2 shapes, or a change in structure).
4. Predict the Next Figure: Apply the rule to draw what comes next.

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Let’s assume your worksheet has these common types of growing patterns (based on typical examples):

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#### Pattern 1: Green Triangles
- Step 1: 1 triangle
- Step 2: 3 triangles (arranged in a small triangle)
- Step 3: 6 triangles (larger triangle)

Rule: This might be triangular numbers — each step adds a row with one more triangle than the previous row.

- Step 1: 1 triangle
- Step 2: 1 + 2 = 3 triangles
- Step 3: 1 + 2 + 3 = 6 triangles
- Step 4: 1 + 2 + 3 + 4 = 10 triangles

✔ So, the next figure should have 10 green triangles arranged in a larger triangle shape.

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#### Pattern 2: Pink Squares
- Step 1: 1 square
- Step 2: 4 squares (2x2)
- Step 3: 9 squares (3x3)

Rule: Square numbers — each step forms an n×n grid.

- Step 1: 1×1 = 1
- Step 2: 2×2 = 4
- Step 3: 3×3 = 9
- Step 4: 4×4 = 16 squares

✔ Next figure: A 4×4 grid of pink squares.

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#### Pattern 3: Blue Blocks
- Step 1: One block
- Step 2: Two blocks side by side
- Step 3: Three blocks side by side

Rule: Adding one more block each time.

- Step 1: 1 block
- Step 2: 2 blocks
- Step 3: 3 blocks
- Step 4: 4 blocks in a line

✔ Next: Four blue blocks in a straight line.

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#### Pattern 4: Orange X's
- Step 1: One small X
- Step 2: Two overlapping X's forming a star-like shape
- Step 3: Three X's forming a larger cross?

Or maybe:
- Step 1: 1 X
- Step 2: 4 X's forming a bigger X
- Step 3: 9 X's forming even larger X

If it's growing as squares:
- Step 1: 1 × 1 = 1
- Step 2: 2 × 2 = 4
- Step 3: 3 × 3 = 9
- Step 4: 4 × 4 = 16 X's in a large X shape

Alternatively, if it's about layers:
- Step 1: 1 X
- Step 2: 5 X's (center + 4 arms)
- Step 3: 9 X's? Maybe not.

But if it's building a larger X with increasing size, then likely:

✔ Next: A 4×4 grid of X's arranged to form a big X.

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Final Answer (Hypothetical):

Based on common patterns:

1. Green triangles: Draw a triangle made of 10 small triangles (in a 4-row triangular shape).
2. Pink squares: Draw a 4×4 square grid of pink squares.
3. Blue blocks: Draw 4 blue blocks in a straight horizontal line.
4. Orange X's: Draw a large X made of 16 orange X's, possibly arranged in a 4×4 grid forming a cross.

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💡 To get the exact answer, please describe the figures in each row (e.g., “First row has 1 green triangle, then 3 arranged in a triangle, then 6 in a larger triangle”) so I can give the precise next step.

Let me know!