Let's solve the problem step by step.
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🔍 Understanding the Task
The worksheet asks:
"Check all the pictures that show rectangular arrays."
We are told:
- An
array is a group of objects arranged in rows and columns.
- A
rectangular array has
equal rows and columns, meaning:
- Each row has the
same number of objects.
- Each column has the
same number of objects.
- The arrangement forms a rectangle (not a circle, triangle, or irregular shape).
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✔ Step-by-step Analysis of Each Picture
We'll go through each image one by one:
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####
1. Stars (top left)
- Arranged in a
circle.
- Not in straight rows and columns.
- Objects are not aligned in equal rows/columns.
-
✘ Not a rectangular array
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####
2. Houses (top middle)
- Two rows of houses.
- Top row: 4 houses
- Bottom row: 4 houses
- All rows have the same number → 4 in each row
- Columns: 4 vertical columns, each with 2 houses
- Equal rows and columns → forms a rectangle
-
✔ Yes – Rectangular Array
---
####
3. Smiley Faces (top right)
- Arranged in a
triangle-like shape.
- First row: 4 smileys
- Second row: 3
- Third row: 3
- Fourth row: 4
- Rows do
not have the same number of objects.
- Not uniform → not a rectangle
-
✘ Not a rectangular array
---
####
4. Snails (bottom left)
- Three rows.
- Each row has 3 snails.
- So: 3 rows × 3 columns = 9 snails
- All rows and columns are equal.
- Forms a perfect rectangle.
-
✔ Yes – Rectangular Array
---
####
5. Triangles (bottom middle)
- Arranged in a
square ring or hollow square.
- Outer layer of triangles forming a square, but
missing center.
- Not all positions filled.
- While it looks like a square outline, it's
not a solid rectangular array because some cells are missing.
- For a rectangular array, every position should be filled in a grid.
-
✘ Not a rectangular array
---
####
6. Soccer Balls (bottom right)
- Four rows.
- Each row has 5 soccer balls.
- Five columns, each with 4 balls.
- Uniform in rows and columns → forms a rectangle.
-
✔ Yes – Rectangular Array
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✔ Final Answer: Check the boxes for:
-
Houses (top middle)
-
Snails (bottom left)
-
Soccer balls (bottom right)
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🟩 Correct Boxes to Check:
| Image | Check? |
|------|--------|
| Stars |
✘ |
| Houses |
✔ |
| Smileys |
✘ |
| Snails |
✔ |
| Triangles |
✘ |
| Soccer balls |
✔ |
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✔ Summary
Rectangular arrays shown:
✔️ Houses
✔️ Snails
✔️ Soccer balls
These three images have objects arranged in
equal rows and columns, forming a rectangle.
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Let me know if you'd like this turned into a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of printable arrays.
