It looks like you've uploaded a worksheet titled
"Arrays: Repeated Addition" from 2014, designed to help students understand multiplication through repeated addition using arrays. Let's go through the problems step by step and solve them.
---
Problem 1: Circle the rows.
There are
5 rows of circles (each row has 3 circles).
-
Answer: 5 rows of
3 = 3 + 3 + 3 + 3 + 3 =
15
>
✔ So, it’s
5 × 3 = 15
---
Problem 2: Circle the columns.
There are
3 columns of circles (each column has 5 circles).
-
Answer: 3 columns of
5 = 5 + 5 + 5 =
15
>
✔ So, it’s
3 × 5 = 15
---
Problem 3: Circle the rows.
There are
4 rows of rectangles (each row has 6 rectangles).
-
Answer: 4 rows of
6 = 6 + 6 + 6 + 6 =
24
>
✔ So, it’s
4 × 6 = 24
---
Problem 4: Circle the columns.
There are
5 columns of rectangles (each column has 4 rectangles).
-
Answer: 5 columns of
4 = 4 + 4 + 4 + 4 + 4 =
20
>
✔ So, it’s
5 × 4 = 20
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Problem 5: Use the array of triangles to answer the questions below.
We have an array of triangles arranged in
3 rows and
4 columns (since there are 3 rows of 4 triangles each).
#### a) Rows of ___ = ___
- There are
3 rows of
4 triangles.
- So:
3 rows of 4 = 4 + 4 + 4 =
12
>
✔ 3 × 4 = 12
#### b) Columns of ___ = ___
- There are
4 columns of
3 triangles.
- So:
4 columns of 3 = 3 + 3 + 3 + 3 =
12
>
✔ 4 × 3 = 12
#### c) Add more rows.
- The question asks: "How many triangles are there now?"
- We are told to add
one more row (same size as others).
- Original: 3 rows × 4 = 12 triangles
- Add 1 more row of 4 triangles → 4 triangles added
- Total now: 12 + 4 =
16
>
✔ Now there are 16 triangles
#### d) Add more columns.
- Now we're told to add
one more column to the new array (which is now 4 rows × 4 columns).
- Each column has 4 triangles.
- Add one more column → 4 more triangles
- Total: 16 + 4 =
20
>
✔ Now there are 20 triangles
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✔ Final Answers:
1. 5 rows of
3 = 15
2. 3 columns of
5 = 15
3. 4 rows of
6 = 24
4. 5 columns of
4 = 20
5.
- Rows of
4 =
12
- Columns of
3 =
12
- After adding 1 row:
16 triangles
- After adding 1 column:
20 triangles
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This worksheet teaches that:
- Arrays can be seen as
rows or
columns.
- Multiplication is
repeated addition.
- Changing rows or columns increases the total number of items.
Let me know if you'd like this turned into a printable solution sheet or need help with similar problems!
Parent Tip: Review the logic above to help your child master the concept of addition array worksheet 2nd.
