# Ch 10: MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change

### About This Chapter

## MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change - Chapter Summary

In these lessons, our professional instructors help you review the steps used to complete problems with ratios, proportions and rate of change in preparation for the MTEL Middle School Math/Science exam. Each lesson is mobile device compatible, so you have a portable way to review:

- Application of proportions and ratios
- Solving problems with proportions
- Finding the average rate of change
- Resizing shapes while maintaining their proportions
- Calculations for taxes and discounts
- Uses of graphs and tables in real life and algebra

Improve your understanding of these lessons by taking the corresponding quizzes. Following the lesson quizzes, use the provided links to return directly to topics you didn't understand. Once you've completed all the lessons and quizzes in the chapter, take the chapter exam to test your overall understanding of the material.

### MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change - Chapter Objectives

When you take the MTEL Middle School Math/Science exam, you'll be asked to complete 100 multiple-choice questions and two open-response assignments in a four-hour testing session. Eight percent of your score on this computer-based certification exam is based on your understating of number sense and operations. Some of the topics in this subarea include ratios, proportions and rates of change, topics that are discussed in this chapter. Additionally, one of the open-response items (another 10% of your score) may require you to demonstrate your knowledge ratios and proportions.

### 1. Proportion: Definition, Application & Examples

When we want to compare one ratio, or fraction, to another equivalent ratio, it's a proportion. Learn all about proportions and practice solving proportion problems in this lesson.

### 2. Ratios and Proportions: Definition and Examples

Watch this video lesson to learn how ratios and proportions are related. Also, learn how ratios and proportions are used in real life and how you can apply them to yours.

### 3. Solving Problems Involving Proportions: Definition and Examples

Learn how you can use proportions to find missing sides and how to increase or decrease the sizes of objects to create models of them in this video lesson.

### 4. Average Rate of Change: Definition, Formula & Examples

Average rate of change and slope of a line are very interconnected. They are actually one in the same. In this lesson, we will be discovering how they are interconnected.

### 5. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.

### 6. Taxes & Discounts: Calculations & Examples

When you go shopping, you don't want to be surprised by the amount of tax on an item. You also want to fully understand discounts to know how much you can save. In this lesson, we'll practice calculating both tax and discounts.

### 7. Using Tables and Graphs in the Real World

We use tables and graphs in algebra as ways to visually show an equation or function. But do we really use these in the real world? Is it that important to learn about tables and graphs? Find out in this video lesson.

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### Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

- MTEL Middle School Math/Science: Number Structure
- MTEL Middle School Math/Science: Absolute Value
- MTEL Middle School Math/Science: Numerical & Algebraic Properties
- MTEL Middle School Math/Science: Properties of Equality & Inequality
- MTEL Middle School Math/Science: Mathematical Operations
- MTEL Middle School Math/Science: Introduction to Fractions
- MTEL Middle School Math/Science: Operations with Fractions
- MTEL Middle School Math/Science: Decimals & Decimal Operations
- MTEL Middle School Math/Science: Percents
- MTEL Middle School Math/Science: Estimation in Math
- MTEL Middle School Math/Science: Real Numbers
- MTEL Middle School Math/Science: Exponents
- MTEL Middle School Math/Science: Roots & Powers
- MTEL Middle School Math/Science: Algebra Basics
- MTEL Middle School Math/Science: Principles of Algebra
- MTEL Middle School Math/Science: Functions
- MTEL Middle School Math/Science: Linear Equations
- MTEL Middle School Math/Science: Polynomials
- MTEL Middle School Math/Science: Quadratic Equations
- MTEL Middle School Math/Science: Vectors in Linear Algebra
- MTEL Middle School Math/Science: Matrices in Linear Algebra
- MTEL Middle School Math/Science: Sequences & Series
- MTEL Middle School Math/Science: Measurement
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Algebraic Applications in Geometry
- MTEL Middle School Math/Science: Area, Perimeter & Volume
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Graphs
- MTEL Middle School Math/Science: Solving Trigonometric Equations
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Trigonometric Applications
- MTEL Middle School Math/Science: Types of Data
- MTEL Middle School Math/Science: Probability & Statistics
- MTEL Middle School Math/Science: Conditional & Independent Probability
- MTEL Middle School Math/Science: Probability & Statistics Calculations
- MTEL Middle School Math/Science: Basics of Logic
- MTEL Middle School Math/Science: Foundations of Science
- MTEL Middle School Math/Science: Scientific Research
- MTEL Middle School Math/Science: The Scientific Method
- MTEL Middle School Math/Science: Data Collection
- MTEL Middle School Math/Science: Analyzing Scientific Data
- MTEL Middle School Math/Science: Laboratory Procedures & Safety
- MTEL Middle School Math/Science: Experimental Chemistry
- MTEL Middle School Math/Science: Matter
- MTEL Middle School Math/Science: Inorganic Chemistry
- MTEL Middle School Math/Science: Measurement & Problem Solving
- MTEL Middle School Math/Science: Atomic Structure
- MTEL Middle School Math/Science: The Periodic Table
- MTEL Middle School Math/Science: Chemical Bonding
- MTEL Middle School Math/Science: Phase Changes for Liquids & Solids
- MTEL Middle School Math/Science: Solutions in Chemistry
- MTEL Middle School Math/Science: Stoichiometry & Chemical Equations
- MTEL Middle School Math/Science: Acids, Bases & Reactions
- MTEL Middle School Math/Science: Equilibrium
- MTEL Middle School Math/Science: Chemical Kinetics
- MTEL Middle School Math/Science: Thermodynamics in Chemistry
- MTEL Middle School Math/Science: Newton's First Law of Motion
- MTEL Middle School Math/Science: Newton's Second Law of Motion
- MTEL Middle School Math/Science: Newton's Third Law of Motion
- MTEL Middle School Math/Science: Force & Motion
- MTEL Middle School Math/Science: Wave Behavior
- MTEL Middle School Math/Science: Waves, Sound & Light
- MTEL Middle School Math/Science: Energy
- MTEL Middle School Math/Science: Electricity
- MTEL Middle School Math/Science: Magnetism & Electromagnetism
- MTEL Middle School Math/Science: Cells & Living Things
- MTEL Middle School Math/Science: Cell Division
- MTEL Middle School Math/Science: Genetics & Heredity
- MTEL Middle School Math/Science: DNA
- MTEL Middle School Math/Science: Genetic Mutations
- MTEL Middle School Math/Science: Origin & History of the Earth
- MTEL Middle School Math/Science: Ecosystems
- MTEL Middle School Math/Science: Evolving Ecosystems
- MTEL Middle School Math/Science: Rocks, Minerals & Soil
- MTEL Middle School Math/Science: Forces that Change the Earth's Surface
- MTEL Middle School Math/Science: Earth's Hydrosphere
- MTEL Middle School Math/Science: Structure of the Earth's Atmosphere
- MTEL Middle School Math/Science: Earth's Atmosphere, Weather & Climate
- MTEL Middle School Math/Science: Solar System
- MTEL Middle School Math/Science: Characteristics of the Universe
- MTEL Mathematics/Science (Middle School) Flashcards