Let's solve each array step by step and write the addition equations as requested.
---
Array 1:
This is a 3×3 grid (3 rows, 3 columns), so there are 9 squares.
-
Equation 1: Add the number of squares in each row →
$ 3 + 3 + 3 = 9 $
-
Equation 2: Add the number of squares in each column →
$ 3 + 3 + 3 = 9 $
✔ So:
```
3 + 3 + 3 = 9
3 + 3 + 3 = 9
```
---
Array 2:
This is a 2×5 grid (2 rows, 5 columns), so there are 10 squares.
-
Equation 1: Add the number of squares in each row →
$ 5 + 5 = 10 $
-
Equation 2: Add the number of squares in each column →
$ 2 + 2 + 2 + 2 + 2 = 10 $
✔ So:
```
5 + 5 = 10
2 + 2 + 2 + 2 + 2 = 10
```
---
Array 3:
This is a 3×2 grid (3 rows, 2 columns), so there are 6 squares.
-
Equation 1: Add the number of squares in each row →
$ 2 + 2 + 2 = 6 $
-
Equation 2: Add the number of squares in each column →
$ 3 + 3 = 6 $
✔ So:
```
2 + 2 + 2 = 6
3 + 3 = 6
```
---
Array 4:
This is a 2×6 grid (2 rows, 6 columns), so there are 12 squares.
-
Equation 1: Add the number of squares in each row →
$ 6 + 6 = 12 $
-
Equation 2: Add the number of squares in each column →
$ 2 + 2 + 2 + 2 + 2 + 2 = 12 $
✔ So:
```
6 + 6 = 12
2 + 2 + 2 + 2 + 2 + 2 = 12
```
---
✔ Final Answers:
1.
$ 3 + 3 + 3 = 9 $
$ 3 + 3 + 3 = 9 $
2.
$ 5 + 5 = 10 $
$ 2 + 2 + 2 + 2 + 2 = 10 $
3.
$ 2 + 2 + 2 = 6 $
$ 3 + 3 = 6 $
4.
$ 6 + 6 = 12 $
$ 2 + 2 + 2 + 2 + 2 + 2 = 12 $
---
📝 Explanation:
- Each array represents a rectangle made up of unit squares.
- We can count the total number of squares by adding the number of squares in each
row or each
column.
- The two equations show different ways to add the same total using repeated addition (which leads into multiplication concepts).
- This helps students understand how arrays relate to addition and later to multiplication.
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 arrays worksheet 2nd grade.