# Ch 50: MTLE Mathematics: From Words to Equations, Expressions & Graphs

### About This Chapter

## MTLE Mathematics: From Words to Equations - Chapter Summary

The lessons in this chapter help you get ready from the MTLE mathematics test by reviewing word problems, expressions and graphs. Our instructors designed these text and video lessons to cover information about:

- Steps for solving word problems
- Personalizing, restating and simplifying word problems
- Using estimation and math manipulatives to solve problems
- Parts of a mathematical expression
- Interpreting graphical representations
- Crafting critical thinking word problems
- Types of project-based learning activities

The quizzes that accompany each lesson give you the opportunity to practice these mathematical skills. Complete the chapter test to get an idea of how the MTLE mathematics exam might assess these concepts.

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

Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.

### 2. Solving Word Problems with Multiple Steps

Not all word problems are so straightforward that they only require you to do one operation and you're done. Some are more complicated, requiring several steps. Watch this video lesson to learn how to solve these kinds of problems.

### 3. Restating Word Problems Using Words or Images

Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.

### 4. Personalizing a Word Problem to Increase Understanding

When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.

### 5. How to Simplify Word Problems with Fractions Using Whole Numbers

Watch this video lesson to learn how to solve word problems with fractions in them easily by turning your fractions into whole numbers. Learn what you need to do to get rid of your fractions so you can easily solve your problem.

### 6. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

### 7. What is a Mathematical Expression? - Definition & Examples

This lesson will explain how to recognize a mathematical expression and the parts that make up a mathematical expression. You will also learn some of the basic vocabulary used when discussing mathematical expressions.

### 8. How to Use Math Manipulatives to Answer Word Problems

After watching this video lesson, you will see what a math manipulative is, how you can use almost anything as a math manipulative, and how you can use these manipulatives to help you solve word problems.

### 9. Interpreting Graphical Representations

After watching this video lesson, you will be able to quickly and easily read and interpret any line and bar graph. You will be able to gather important information by just looking at one of these graphs.

### 10. Critical Thinking Word Problems

In this lesson you'll learn the art of crafting a question that inspires different levels of critical thinking. We'll cover a basic definition for critical thinking and a five level system for word problems. A short quiz follows.

### 11. Project-Based Learning Activities: Types & Examples

Project-based learning is a great way to engage students in authentic application of knowledge and skills. This lesson gives you some ideas for different kinds of project-based learning activities you can incorporate into the classroom.

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### Other Chapters

Other chapters within the MTLE Mathematics: Practice & Study Guide course

- MTLE Mathematics: Basic Arithmetic Operations
- MTLE Mathematics: Properties of Real Numbers
- MTLE Mathematics: Operations with Real Numbers
- MTLE Mathematics: Fractions
- MTLE Mathematics: Decimals
- MTLE Mathematics: Percents
- MTLE Mathematics: Ratios, Rates & Proportions
- MTLE Mathematics: Exponents & Exponential Expressions
- MTLE Mathematics: Mathematical Reasoning & Problem Solving
- MTLE Mathematics: Complex Numbers
- MTLE Mathematics: Sequences & Series
- MTLE Mathematics: Functions
- MTLE Mathematics: Algebraic Expressions & Equations
- MTLE Mathematics: Exponential & Logarithmic Functions
- MTLE Mathematics: Vector Operations
- MTLE Mathematics: Matrices in Linear Algebra
- MTLE Mathematics: Linear Functions
- MTLE Mathematics: Linear Inequalities
- MTLE Mathematics: Quadratic Functions
- MTLE Mathematics: Polynomial Functions
- MTLE Mathematics: Rational Expressions
- MTLE Mathematics: Radical Expressions
- MTLE Mathematics: Absolute Value Functions
- MTLE Mathematics: Continuity & Limits
- MTLE Mathematics: Rate of Change & Derivatives
- MTLE Mathematics: Area Under the Curve & Integrals
- MTLE Mathematics: Trigonometric Functions
- MTLE Mathematics: Solving Trigonometric Equations
- MTLE Mathematics: Trigonometric Identities
- MTLE Mathematics: Principles of Measurement
- MTLE Mathematics: Area & Perimeter
- MTLE Mathematics: Surface Area & Volume
- MTLE Mathematics: Foundations of Geometry
- MTLE Mathematics: Lines & Angles
- MTLE Mathematics: Properties of Triangles
- MTLE Mathematics: Similar & Congruent Triangle Proofs
- MTLE Mathematics: Right Triangle Proofs
- MTLE Mathematics: Quadrilaterals & Polygons
- MTLE Mathematics: Circles & Arc of a Circle
- MTLE Mathematics: Coordinate Geometry
- MTLE Mathematics: Geometric Transformations
- MTLE Mathematics: Parametric, Polar & Vector Functions
- MTLE Mathematics: Organizing Data
- MTLE Mathematics: Summarizing & Analyzing Data
- MTLE Mathematics: Random Sampling
- MTLE Mathematics: Probability
- MTLE Mathematics: Probability Distributions
- MTLE Mathematics: Discrete Mathematics
- MTLE Mathematics: Mathematical Connections & Communication
- MTLE Mathematics: Content Area Reading Skills
- MTLE Mathematics: Instructional Design & Delivery
- MTLE Mathematics: Teaching & Assessing Diverse Learners
- MTLE Mathematics Flashcards