Educational worksheet for teaching multiplication using arrays and repeated addition, designed for children.

Let’s go step by step through each array to find the multiplication and repeated addition that matches.

We are looking at arrays of squares. The number of rows × number of columns = total squares (multiplication).
Repeated addition means adding the number in each row, as many times as there are rows — or vice versa, depending on how you see it. But usually, we do: number per row × number of rows for multiplication, and then add that number repeatedly for the sum.

But note: In example 1, they show 2 rows of 4 → so 4 + 4 (adding the row amount twice) and write 4 × 2. So they’re doing: (items per row) × (number of rows) for multiplication, and (items per row) added (number of rows) times for repeated addition.

Let’s apply this to each:

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Problem 2:
Green squares: 3 rows, 3 squares per row.
→ Multiplication: 3 × 3
→ Repeated addition: 3 + 3 + 3

Wait — but let’s check orientation. Actually, looking at problem 1: 2 rows, 4 per row → written as 4 × 2 and 4 + 4. So yes: first number is “per row”, second is “number of rows”.

So for problem 2: 3 per row, 3 rows → 3 × 3 and 3 + 3 + 3

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Problem 3:
Purple squares: 3 rows, 4 per row? Wait — let’s count carefully.

Actually, looking at problem 3: It shows 3 rows with 4 purple squares each? No — wait, let me recount based on standard interpretation.

Wait — actually, in problem 3, if you look: it's 3 rows high and 4 columns wide? Or 4 rows and 3 columns?

Hold on — better to count total and structure.

In problem 3: There are 3 horizontal rows, each with 4 squares → so 4 per row, 3 rows → 4 × 3 and 4 + 4 + 4

But let’s verify with total: 3 rows × 4 = 12 squares. Yes.

Alternatively, if someone sees it as 4 columns of 3, that would be 3 × 4 and 3+3+3+3 — but the example used “per row” first.

Looking back at example: 2 rows of 3? Wait no — example says: “This array shows 2 x 3 or 2 + 2 + 2”

Wait! Hold on — I think I misread earlier.

Look at the example given in the worksheet:

It says:
“For example: □□□
□□□
This array shows 2 x 3 or 2 + 2 + 2”

Wait — that doesn’t match what I thought.

Actually, re-reading:

The example says:
Array shown: two rows of three? No — let me read again.

Actually, the text says:
“This array shows 2 x 3 or 2 + 2 + 2”

And next to it, there’s a small diagram: probably 3 rows of 2? Because 2 + 2 + 2 suggests three groups of 2.

Ah! Here’s the key: In the example, they say “2 x 3” meaning 2 taken 3 times → which is 2 + 2 + 2.

So their convention is: first number is the size of each group, second number is how many groups.

In the array, if you have vertical columns or horizontal rows — but in the example, they likely showed 3 rows of 2 dots? Or 2 columns of 3? Doesn't matter — the math is: 2 × 3 = 6, and 2 + 2 + 2 = 6.

So general rule from example:
Multiplication: (size of each group) × (number of groups)
Repeated addition: (size of each group) added (number of groups) times.

Now, in problem 1:
They show 2 rows of 4 yellow squares → so each row has 4, and there are 2 rows → so groups are rows? Then size of group = 4, number of groups = 2 → 4 × 2 and 4 + 4. That matches.

So consistent: each row is a group, size = number in row, number of groups = number of rows.

Apply to all:

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Problem 2: Green squares — 3 rows, each with 3 squares → group size = 3, number of groups = 3 → 3 × 3 and 3 + 3 + 3

Problem 3: Purple squares — 3 rows, each with 4 squares? Let’s count: top row: 4, middle: 4, bottom: 4 → yes → 4 × 3 and 4 + 4 + 4

Wait — but 4 × 3 is same as 3 × 4 numerically, but according to their format, since each row has 4, and 3 rows, it should be 4 × 3.

But let’s confirm with total: 3 rows × 4 = 12. 4+4+4=12. Correct.

Problem 4: Light green squares — looks like 3 rows, each with 7 squares? Count: first row: 7, second: 7, third: 7 → yes → 7 × 3 and 7 + 7 + 7

Problem 5: Pink squares — 2 rows, each with 2 squares → 2 × 2 and 2 + 2

Problem 6: Yellow squares — let’s see: it’s arranged in columns? Or rows? Looks like 5 rows? Wait — count vertically.

Actually, looking: it seems to be 5 rows? No — let’s count the lines.

From top to bottom: there are 5 horizontal levels? Each level has 3 squares? Let me visualize:

Typically in such worksheets, if it’s tall and narrow, it might be columns. But following our rule: we consider rows as groups.

In problem 6: If we count horizontal rows: there are 5 rows? Each with 3 squares? Let’s assume: yes, 5 rows of 3 → so group size = 3, number of groups = 5 → 3 × 5 and 3 + 3 + 3 + 3 + 3

Total: 15. 3×5=15. Good.

Alternative: if someone sees 3 columns of 5, that would be 5 × 3 and 5+5+5 — but according to problem 1 and example, they use “per row” as the group size.

In problem 1, rows were horizontal, and they used per-row count.

Similarly here, even if the array is taller, we still take horizontal rows as groups.

So problem 6: 5 rows, 3 per row → 3 × 5 and 3+3+3+3+3

Problem 7: Pink squares — 4 rows, each with 5 squares? Count: top row: 5, then 5, then 5, then 5 → yes → 5 × 4 and 5 + 5 + 5 + 5

Problem 8: Light green squares — 4 rows, each with 8 squares? Count: each row has 8, and 4 rows → 8 × 4 and 8 + 8 + 8 + 8

Problem 9: Yellow squares — 2 rows, each with 7 squares? Top row: 7, bottom row: 7 → 7 × 2 and 7 + 7

Now, let’s list them all clearly:

1) Done: 4 × 2 and 4 + 4

2) 3 × 3 and 3 + 3 + 3

3) 4 × 3 and 4 + 4 + 4

4) 7 × 3 and 7 + 7 + 7

5) 2 × 2 and 2 + 2

6) 3 × 5 and 3 + 3 + 3 + 3 + 3

7) 5 × 4 and 5 + 5 + 5 + 5

8) 8 × 4 and 8 + 8 + 8 + 8

9) 7 × 2 and 7 + 7

Double-check totals to be sure:

2) 3×3=9, 3+3+3=9 ✔️

3) 4×3=12, 4+4+4=12 ✔️

4) 7×3=21, 7+7+7=21 ✔️

5) 2×2=4, 2+2=4 ✔️

6) 3×5=15, 3×5=15 ✔️

7) 5×4=20, 5×4=20 ✔️

8) 8×4=32, 8×4=32 ✔️

9) 7×2=14, 7+7=14 ✔️

All correct.

Final Answer:

2) 3 × 3
3 + 3 + 3

3) 4 × 3
4 + 4 + 4

4) 7 × 3
7 + 7 + 7

5) 2 × 2
2 + 2

6) 3 × 5
3 + 3 + 3 + 3 + 3

7) 5 × 4
5 + 5 + 5 + 5

8) 8 × 4
8 + 8 + 8 + 8

9) 7 × 2
7 + 7