# Ch 36: Mathematical Reasoning for Solving Word Problems

### About This Chapter

## Mathematical Reasoning for Solving Word Problems - Chapter Summary

What happens when math goes from being numbers to looking like a paragraph from your English book? The lessons in this chapter will help you navigate word problems. Learn the reasoning skills necessary to translate words into math formulas and complete multi-step word problems. In each lesson, you'll find plenty of examples so you can work along with our instructors. When you are through with this chapter, you should be able to:

- Explain probability and calculate combinations
- Understand the steps for solving word problems
- Solve multi-step word problems
- Translate words into math operations
- Solve time and money problems

Short, engaging video lessons taught by our experienced instructors make learning and review easy. Each lesson includes plenty of examples to help you master the math principles. If you want to review select topics, video tags in the Timeline let you quickly access individual segments of the video. And, when you have completed a lesson, take the self-assessment quiz to confirm you understand the new concepts. To track your progress, go to Dashboard to see what you completed.

### 1. What is Probability in Math? - Definition & Overview

The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

### 2. How to Calculate the Probability of Combinations

The probability of combinations may be calculated when the order of the outcomes does not matter, using the number of favorable outcomes divided by total outcomes. Learn how to calculate the probability of combinations by working through helpful example problems.

### 3. Solving Word Problems: Steps & Examples

Solving word problems in math may require following a process that makes it easier to solve. Learn the steps used in solving word problems which include visualizing the problem, writing the equation, and solving the equation with examples of how it's done.

### 4. Solving Word Problems with Multiple Steps

To solve word problems, even the more complicated ones, follow these three steps: visualize the problem, write the equations, and solve the equations. Learn how to solve multi-step word problems by applying the three-step process, and understand the example.

### 5. How to Solve Problems with Time

Teamwork can help save time on complex tasks. Explore the work-rate formula, and learn how to solve for the time it takes for one individual and multiple individuals to complete a task, in order to compare the results.

### 6. How to Solve Problems with Money

Some mathematical word problems focus on money, using real-world situations to calculate how much money is on hand and how much is needed to make purchases. Learn how to solve problems with money, and see several sample problems.

### 7. Translating Words Into Math Symbols

Different math symbols ('+', '-', '/', and '*') can each be expressed through a variety of words in text math problems. Learn how to translate word problems into math equations based on the individual words for specific math symbols.

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### Other Chapters

Other chapters within the Ohio Assessments for Educators - Elementary Education (018/019): Practice & Study Guide course

- About the OAE Tests
- Language Development & Emergent Literacy
- Understanding Literary Texts
- Structure & Literary Devices in Prose
- Informational, Expository & Technical Texts
- Understanding & Teaching Persuasive Texts
- Graphic Communication
- Reference Materials & Proofreading in Writing
- Conventions of Standard American English
- Processes & Conventions of Verbal Communication
- Effective Writing & Speaking
- Basic Concepts of Government & Economics
- Forms & Characteristics of Government
- International Relationships & Foreign Policy
- Principles of U.S. Citizenship
- Functions of Economic Systems & Free Markets
- Global Effects of Exploration, Trade & Revolution
- Major U.S. & World Conflicts
- Modern World History
- Historical Analysis of Fact vs. Opinion
- Geography, Physical Sciences & Cultural Anthropology
- Reading & Understanding Maps
- Social Science Research & Experimentation
- Life & Zoological Sciences
- Plants, Biomes & Genetics
- Components of the Solar System & Universe
- Weather, Climate & Geologic Systems
- Numeration, Number Sense, & Mathematical Operations
- Mixed Numbers & Fractions
- Arithmetic & Estimation Using Decimals
- Rounding & Estimating Numbers
- Place Values, Ordering Fractions & Decimals
- Prime Numbers, Composite Numbers & Divisibility Rules
- The Least Common Multiple & Greatest Common Factor
- Ratios, Proportion, Exponents & Scientific Notation
- Tools for Representing Mathematical Concepts
- Calculating & Interpreting Statistical Data
- Algebraic Patterns, Equations & Functions
- Properties of Geometric Shapes
- Converting & Graphing Units of Measurement
- Area, Perimeter & Volume of Geometric Shapes
- Health, Fitness & Nutrition
- Music, Drama, Theater & the Arts
- Ohio Assessments for Educators Elementary Education Flashcards