# Ch 3: Honors Algebra 1: Calculations, Ratios, Percent & Proportions

### About This Chapter

## Honors Algebra 1: Calculations, Ratios, Percent & Proportions - Chapter Summary and Learning Objectives

The ability to calculate ratios, percents, proportions and rates has broad applications far beyond the classroom. It's something we do every day, whether we actually think about it or not. Any time you shop, you're looking for sales, which means you'll be calculating the percentage off the purchase price offered by the discount. You pay taxes on whatever you buy, and the bank pays you interest on the money in your accounts. Thus, percents, ratios, rates and proportions are all facts of life. Check out the video lessons for more information on the following:

- Defining rate, ratio, proportion and percent
- Performing calculations with distance and time
- Understanding and figuring taxes and discounts
- Identifying the difference between a ratio and a proportion
- Calculating simple and compound interest

Video | Objective |
---|---|

Ratios & Rates: Definitions & Examples | Use rates and ratios to compare numbers. |

How to Solve Problems with Money | Problem-solve with money. |

Proportion: Definition, Application & Examples | Solve problems that involve proportions. |

Calculations with Ratios and Proportions | Illustrate computations with proportions and ratios. |

How to Solve Word Problems That Use Percents | Find solutions to word problems with percents. |

How to Solve Interest Problems: Steps & Examples | Calculate interest rates and amounts. |

Compounding Interest Formulas: Calculations & Examples | Explain and compute compound interest. |

Taxes & Discounts: Calculations & Examples | Figure taxes and discounts. |

How to Solve Problems with Time | Write and solve time-related problems. |

Distance Formulas: Calculations & Examples | Determine rate, distance and time using distance formulas. |

### 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 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.

### 3. 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.

### 4. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

### 5. How to Solve Word Problems That Use Percents

100 percent of percent problems can be solved if we follow the correct steps. In this lesson, we'll practice solving a variety of different percent problems.

### 6. How to Solve Interest Problems: Steps & Examples

If you want to know how your money can earn money, then it's essential to learn about solving interest problems. In this lesson, we'll practice calculating interest amounts and interest rates.

### 7. Compounding Interest Formulas: Calculations & Examples

Compound interest is a great way to have your money work for you. In this lesson, find out the formula for calculating compound interest and practice using the formula with several examples.

### 8. 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.

### 9. How to Solve Problems with Time

It's amazing how much time can be saved when people work together. In this lesson, we'll practice figuring out just how much time we're talking about as we solve problems involving time.

### 10. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.

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### Other Chapters

Other chapters within the Honors Algebra 1 Textbook course

- Honors Algebra 1: Basic Arithmetic Review
- Honors Algebra 1: Fractions & Decimal Review
- Honors Algebra 1: Properties of Real Numbers
- Honors Algebra 1: Exponents & Scientific Notation
- High School Algebra: Radical Expressions
- Honors Algebra 1: Composing Algebraic Equations & Expressions
- Honors Algebra 1: Solving Algebraic Expressions & Equations
- Honors Algebra 1: Properties of Functions
- Honors Algebra 1: Absolute Value Expressions & Equations
- Honors Algebra 1: Matrices in Linear Equations
- High School Algebra: Working With Inequalities
- High School Algebra: Properties of Exponents
- High School Algebra: Properties of Polynomial Functions
- Honors Algebra 1: Vectors in Linear Algebra
- High School Algebra: Complex and Imaginary Numbers
- High School Algebra: Algebraic Distribution
- Honors Algebra 1: Linear Equations
- High School Algebra: Factoring
- Honors Algebra 1: Factoring with FOIL, Graphing Parabolas & Solving Quadratics
- Honors Algebra 1: Graphing & Factoring Quadratic Equations
- High School Algebra: Rational Expressions
- High School Algebra: Cubic Equations
- Honors Algebra 1: Descriptive Statistics
- Honors Algebra 1: Data Analysis
- Honors Algebra 1: Probability & Statistics
- Honors Algebra 1: Units of Measurement in Geometry
- Honors Algebra 1: Shapes of Geometry
- Honors Algebra 1: Similar Polygons
- Honors Algebra 1: Pre-Calculus Geometry
- High School Algebra: Well-Known Equations
- Honors Algebra 1: Maximum & Minimum Value of Functions
- Honors Algebra 1: Patterns in Math