# Ch 6: MTEL Math: Rates & Ratios

### About This Chapter

## MTEL Math: Rates and Ratios - Chapter Summary

Before you sit for the MTEL Math examination, re-discover how to solve equations with ratios, and become adept at making comparisons with rates and ratios. When you watch this chapter's video lessons, you'll be reminded of how to write a ratio with a colon or as a fraction. You might also recall the steps necessary to solve word problems related to money by following a step-by-step process. Completing this tutorial chapter might result in your ability to:

- Calculate unit rates
- Solve rate problems that have one step
- Find the ratios of areas and lengths
- Perform money calculations

As you go through the lessons, you'll find colorful graphics, a lesson summary and a timeline that allows you to view each major section of a video. Professional instructors provide you with information on rates and ratios, and they can offer personalized assistance when you send in your questions interactively. Take the short quizzes and the practice chapter examination to make certain you can address related questions on the MTEL Math assessment.

### MTEL Math: Rates and Ratios Chapter Objectives

Answer questions on rates and ratios during the computer-delivered MTEL Math examination's first subarea, Number Sense and Operations. The first of five multiple-choice subareas, Number Sense and Operations has three objectives and 14 - 16 multiple-choice questions. It amounts to 12% of the approximate test weighting. A sixth subarea is categorized as open-response. Provide answers to 100 multiple-choice questions and two open-response assignments during the four-hour assessment. Earning a score of at least 240 is a requirement.

### 1. Ratios & Rates: Definitions & Examples

If we have two items, or two numbers, and we want to compare them, what language can we use? How do we write the comparison? Find out as we learn about ratios and rates in this lesson.

### 2. How to Find the Unit Rate

If we are going to use math to predict outcomes, one of the most useful measures we can establish is the unit rate of change. In this lesson, you'll learn how to find the rate of change and apply the formula to real-life examples.

### 3. How to Solve a One-Step Problem Involving Rates

One of the most useful aspects of math is the ability to take a rate and use it to solve questions of time or quantity. In this lesson, we'll learn how to use rates, time, and quantity to solve for each other.

### 4. How to Calculate Unit Rates & Unit Prices

One of the most common uses of math is to find out whether something is a '~'good deal.'~' The unit price, a special kind of unit rate, allow us to determine the best deals. In this lesson, learn how to calculate unit rates, including unit prices.

### 5. How to Solve Problems with Money

Money matters, and knowing how much things cost will be useful no matter where you go. In this lesson, we'll learn the steps for solving word problems involving money.

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### Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

- MTEL Math: Basic Arithmetic Operations
- MTEL Math: Absolute Value & Integers
- MTEL Math: Fractions
- MTEL Math: Decimals
- MTEL Math: Percents
- MTEL Math: Proportions
- MTEL Math: Estimation
- MTEL Math: Origins of Math
- MTEL Math: Rational & Irrational Numbers
- MTEL Math: Complex Numbers
- MTEL Math: Properties of Numbers
- MTEL Math: Exponents & Exponential Expressions
- MTEL Math: Roots & Radical Expressions
- MTEL Math: Scientific Notation
- MTEL Math: Number Theory
- MTEL Math: Number Patterns & Sequences
- MTEL Math: Number Patterns & Series
- MTEL Math: Properties of Functions
- MTEL Math: Graphing Functions
- MTEL Math: Factoring
- MTEL Math: The Coordinate Graph & Symmetry
- MTEL Math: Linear Equations
- MTEL Math: Systems of Linear Equations
- MTEL Math: Vectors, Matrices & Determinants
- MTEL Math: Introduction to Quadratics
- MTEL Math: Working with Quadratic Functions
- MTEL Math: Polynomial Functions Basics
- MTEL Math: Higher-Degree Polynomial Functions
- MTEL Math: Piecewise, Absolute Value & Step Functions
- MTEL Math: Rational Expressions, Functions & Graphs
- MTEL Math: Exponential & Logarithmic Functions
- MTEL Math: Measurement
- MTEL Math: Perimeter & Area
- MTEL Math: Polyhedrons & Geometric Solids
- MTEL Math: Symmetry, Similarity & Congruence
- MTEL Math: Properties of Lines
- MTEL Math: Angles
- MTEL Math: Triangles
- MTEL Math: Triangle Theorems & Proofs
- MTEL Math: Similar Polygons
- MTEL Math: The Pythagorean Theorem
- MTEL Math: Quadrilaterals
- MTEL Math: Circles
- MTEL Math: Circular Arcs & Measurement
- MTEL Math: Analytic Geometry & Conic Sections
- MTEL Math: Polar Coordinates & Parameterization
- MTEL Math: Transformations
- MTEL Math: Data & Graphs
- MTEL Math: Statistics
- MTEL Math: Data Collection
- MTEL Math: Samples & Populations
- MTEL Math: Probability
- MTEL Math: Trigonometric Functions
- MTEL Math: Graphs of Trigonometric Functions
- MTEL Math: Trigonometric Identities
- MTEL Math: Applications of Trigonometry
- MTEL Math: Limits
- MTEL Math: Continuity
- MTEL Math: Rate of Change
- MTEL Math: Derivative Calculations & Rules
- MTEL Math: Graphing Derivatives & L'Hopital's Rule
- MTEL Math: Area Under the Curve & Integrals
- MTEL Math: Integration Techniques
- MTEL Math: Integration Applications
- MTEL Math: Differential Equations
- MTEL Math: Discrete & Finite Math
- MTEL Mathematics Flashcards