Printable patterns and sequences worksheets for Grade 4: Download now - Free Printable

Problem: Find the next row(s) in the growing pattern of shapes.

We are tasked with identifying the next row in each of the given patterns. Let's analyze each pattern step by step.

---

#### Pattern (a):
```
□ ★
□ □ ★ ★
□ □ □ ★ ★ ★
```

- Observation:
- The first row has 1 square (□) and 1 star (★).
- The second row has 2 squares and 2 stars.
- The third row has 3 squares and 3 stars.
- Each subsequent row adds one more square and one more star than the previous row.

- Next Row:
- Following the pattern, the fourth row should have 4 squares and 4 stars.
- Therefore, the next row is:
```
□ □ □ □ ★ ★ ★ ★
```

---

#### Pattern (b):
```
○ →
○ → →
○ → → →
```

- Observation:
- The first row has 1 circle (○) and 1 arrow (→).
- The second row has 1 circle and 2 arrows.
- The third row has 1 circle and 3 arrows.
- Each subsequent row adds one more arrow than the previous row, while the number of circles remains constant at 1.

- Next Row:
- Following the pattern, the fourth row should have 1 circle and 4 arrows.
- Therefore, the next row is:
```
○ → → → →
```

---

#### Pattern (c):
```
( △ △
( ( △ △ △
( ( ( △ △ △ △
```

- Observation:
- The first row has 1 left parenthesis ( and 2 triangles (△).
- The second row has 2 left parentheses and 3 triangles.
- The third row has 3 left parentheses and 4 triangles.
- Each subsequent row adds one more left parenthesis and one more triangle than the previous row.

- Next Row:
- Following the pattern, the fourth row should have 4 left parentheses and 5 triangles.
- Therefore, the next row is:
```
( ( ( ( △ △ △ △ △
```

---

#### Pattern (d):
```
★ ★ ★ □ □ □ □
★ ★ □ □ □ □
```

- Observation:
- The first row has 3 stars (★) and 4 squares (□).
- The second row has 2 stars and 4 squares.
- The number of squares remains constant at 4, while the number of stars decreases by 1 in each subsequent row.

- Next Row:
- Following the pattern, the third row should have 1 star and 4 squares.
- Therefore, the next row is:
```
★ □ □ □ □
```

---

#### Pattern (e):
```
> ○ <
> > ○ < <
> > > ○ < < <
```

- Observation:
- The first row has 1 greater-than sign (>), 1 circle (○), and 1 less-than sign (<).
- The second row has 2 greater-than signs, 1 circle, and 2 less-than signs.
- The third row has 3 greater-than signs, 1 circle, and 3 less-than signs.
- Each subsequent row adds one more greater-than sign and one more less-than sign than the previous row, while the number of circles remains constant at 1.

- Next Row:
- Following the pattern, the fourth row should have 4 greater-than signs, 1 circle, and 4 less-than signs.
- Therefore, the next row is:
```
> > > > ○ < < < <
```

---

Final Answers:

1. Pattern (a):
```plaintext
□ □ □ □ ★ ★ ★ ★
```

2. Pattern (b):
```plaintext
○ → → → →
```

3. Pattern (c):
```plaintext
( ( ( ( △ △ △ △ △
```

4. Pattern (d):
```plaintext
★ □ □ □ □
```

5. Pattern (e):
```plaintext
> > > > ○ < < < <
```

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{(a)} \quad \square \square \square \square \star \star \star \star \\
\text{(b)} \quad \circ \rightarrow \rightarrow \rightarrow \rightarrow \\
\text{(c)} \quad ( ( ( ( \triangle \triangle \triangle \triangle \triangle \\
\text{(d)} \quad \star \square \square \square \square \\
\text{(e)} \quad > > > > \circ < < < <
\end{array}
}
\]