# Problem Solving

# Problem Solving

by Danielle P
# 1. Problem Solving Steps

## 1.1. What is the problem?

## 1.2. What are the goals?

## 1.3. What are possible strategies?

### 1.3.1. Keep an open mind for different possibilities!

## 1.4. What are possible outcomes?

## 1.5. Evaluate the results.

# 2. Lesson: 7th Grade Math

## 2.1. Solving word problems: inequalities

### 2.1.1. Include objective/aim of lesson

### 2.1.2. Do Now/Prior Knowledge: include examples of writing out inequalities

### 2.1.3. Practice Solving inequalities

### 2.1.4. Reading word problem, one sentence at a time, write out mathematical statements into an solvable equation

### 2.1.5. Solve equation

### 2.1.6. Evaluate the answer. Ask yourself, Does my answer make sense?

### 2.1.7. Check Solution

## 2.2. Algorithim

### 2.2.1. Read the problem once

### 2.2.2. Re-read the problem, writing out the information into a solvable equation

### 2.2.3. Solve equation

### 2.2.4. Does the answer make sense when you re-read the problem?

### 2.2.5. Check solution

# 3. Technology

## 3.1. Use interactive manipulative's on SmartBoard

## 3.2. Incorporate BrainPop video into lesson

### 3.2.1. http://www.brainpop.com/math/algebra/solvinginequalities/index.weml

## 3.3. Have students work in pairs to create PowerPoint on how they solve inequalities

### 3.3.1. *Also provides assessment

# 4. Extension to support transfer

## 4.1. Keep students engaged, incorporate their interests/names in examples

## 4.2. Provide practice examples during class with feedback

## 4.3. Introduce new problems with similar strategy

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7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. A. Solve word problems leading to equations of the form px + q= r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? B. Solve word problems leading to inequalities of the form px +q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.