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It looks like you’ve uploaded an image containing some mathematical problems related to the "Order of Operations" (often referred to as PEMDAS). I’ll break down the tasks and provide guidance.

### Key Information from the Image:
1. **Order of Operations** has 4 main steps:
   - Parentheses
   - Exponents
   - Multiplication/Division (from left to right)
   - Addition/Subtraction (from left to right)

2. **Activity #1** asks you to:
   - Write the order of operations for given expressions.

3. **Activity #2** requires you to:
   - Insert parentheses within expressions to achieve a desired result.

---

#### **Let's Solve the Problems:**

### **Activity #1: Write the Order of Operations**
For each expression, list the steps according to the order of operations.

1. **Expression:**
   \[
   8 - 3 \times 2 + 7^3 \div (6 + 5)
   \]
   - Parentheses first: \( (6 + 5) = 11 \)
   - Exponents: \( 7^3 = 343 \)
   - Multiplication and Division (left to right): 
     \[
     3 \times 2 = 6 \quad \text{and} \quad 343 \div 11 \approx 31.18
     \]
   - Addition and Subtraction (left to right): 
     \[
     8 - 6 + 31.18 = 33.18
     \]

2. **Expression:**
   \[
   8 + 2^5 - 12 \div 4 - 1 + 9
   \]
   - Exponents: \( 2^5 = 32 \)
   - Division: \( 12 \div 4 = 3 \)
   - Addition and Subtraction (left to right): 
     \[
     8 + 32 - 3 - 1 + 9 = 45
     \]

---

### **Activity #2: Inserting Parentheses**

You are tasked with adding parentheses to make the given expression equal the desired value.

1. **Expression:**
   \[
   10 - 2 + 4 \div 2 = 6
   \]
   Let's insert parentheses to make this true:
   \[
   10 - (2 + 4 \div 2) = 6
   \]
   Evaluate inside the parentheses:
   \[
   4 \div 2 = 2 \quad \text{so} \quad (2 + 2) = 4
   \]
   Now:
   \[
   10 - 4 = 6
   \]

2. **Expression:**
   \[
   9 + 6 \div 3 - 1 = 12
   \]
   Try:
   \[
   9 + (6 \div 3 - 1) = 12
   \]
   Inside the parentheses:
   \[
   6 \div 3 = 2 \quad \text{so} \quad (2 - 1) = 1
   \]
   Now:
   \[
   9 + 1 = 10 \quad \text{which is incorrect}. 
   \]
   We might have to use another set of parentheses.

   Try:
   \[
   (9 + 6) \div (3 - 1) = 12
   \]
   Inside the parentheses:
   \[
   9 + 6 = 15 \quad \text{and} \quad 3 - 1 = 2
   \]
   Now:
   \[
   15 \div 2 = 7.5 \quad \text{which is still incorrect}.
   \]
   
I'll need to correct the next steps but feel free to ask questions or let me know how to proceed!

The original question involves solving problems based on the 'Order of Operations' (PEMDAS) and inserting parentheses to achieve desired results for different expressions.

Learn how to apply the order of operations (PEMDAS) to solve algebraic expressions. This problem involves solving equations and placing parentheses to reach desired values, focusing on Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Suitable for students in Grades 6-8.

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