Use partial products to solve 2 x 2 digit multiplication problems.

Let's solve both multiplication problems using partial products and array models (also known as area models). We'll break down each two-digit number into tens and ones, then multiply each part separately.

---

🔷 Problem 1:

94 × 69

#### Step 1: Break down the numbers
- 94 = 90 + 4
- 69 = 60 + 9

We’ll use the partial products method, multiplying each part:
- 90 × 60
- 90 × 9
- 4 × 60
- 4 × 9

#### Step 2: Calculate each partial product
1. 90 × 60 = 5,400
2. 90 × 9 = 810
3. 4 × 60 = 240
4. 4 × 9 = 36

#### Step 3: Add all partial products
```
5,400
+ 810
+ 240
+ 36
-------
6,486
```

✔ So, 94 × 69 = 6,486

---

📊 Array Model (Draw an array)

We draw a rectangle divided into 4 parts based on the breakdown:

```
| 60 | 9
--------|--------|-----
90 | 5,400 | 810
--------|--------|-----
4 | 240 | 36
--------|--------|-----
```

Each box represents one partial product:
- Top-left: 90 × 60 = 5,400
- Top-right: 90 × 9 = 810
- Bottom-left: 4 × 60 = 240
- Bottom-right: 4 × 9 = 36

Total area = sum of all boxes = 6,486

---

🔷 Problem 2:

89 × 56

#### Step 1: Break down the numbers
- 89 = 80 + 9
- 56 = 50 + 6

Now calculate partial products:
1. 80 × 50 = 4,000
2. 80 × 6 = 480
3. 9 × 50 = 450
4. 9 × 6 = 54

#### Step 2: Add all partial products
```
4,000
+ 480
+ 450
+ 54
-------
5,000 - wait, let's add step by step:
```

Add them:
- 4,000 + 480 = 4,480
- 4,480 + 450 = 4,930
- 4,930 + 54 = 4,984

✔ So, 89 × 56 = 4,984

---

📊 Array Model for 89 × 56

```
| 50 | 6
--------|--------|-----
80 | 4,000 | 480
--------|--------|-----
9 | 450 | 54
--------|--------|-----
```

Each box:
- 80 × 50 = 4,000
- 80 × 6 = 480
- 9 × 50 = 450
- 9 × 6 = 54

Sum = 4,000 + 480 + 450 + 54 = 4,984

---

✔ Final Answers:

1. 94 × 69 = 6,486
2. 89 × 56 = 4,984

You can now fill in the blanks on your worksheet:

#### For 94 × 69:
```
94
× 69
----
5400 ← 90 × 60
810 ← 90 × 9
240 ← 4 × 60
36 ← 4 × 9
----
6486
```

#### For 89 × 56:
```
89
× 56
----
4000 ← 80 × 50
480 ← 80 × 6
450 ← 9 × 50
54 ← 9 × 6
----
4984
```

And draw the arrays as shown above with labeled sections.

Let me know if you'd like a visual version of the arrays!