# Ch 2: Decimals & Fractions in Algebra Lesson Plans

### About This Chapter

## Weekly Syllabus

Below is a sample breakdown of the Decimals and Fractions chapter into two 5-day school weeks. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day | Topics | Key Terms and Concepts Covered |
---|---|---|

Monday | What is a Decimal Place Value?; Comparing and Ordering Decimals; | Using decimal points and place value; Ordering decimals from highest to lowest value |

Tuesday | Addition, Subtraction, Multiplication and Division with Decimal Notation; Adding and Subtracting Decimals: Examples and Word Problems | The decimal number system; A look at the necessary steps for adding and subtracting decimals |

Wednesday | Multiplying and Dividing Decimals: Examples and Word Problems; How to Estimate with Decimals to Solve Math Problems | Tips for correctly placing decimal points; Completing word problem examples of estimating decimals |

Thursday | How to Build and Reduce Fractions; How to Find Least Common Denominators | The numerator and denominator in a fraction; The use of multiples |

Friday | Comparing and Ordering Fractions; Changing Between Improper Fraction and Mixed Number Form | Calculating common denominators and comparing numerators; An explanation of the conversion process |

Monday | How to Add and Subtract Like Fractions and Mixed Numbers; How to Add and Subtract Unlike Fractions and Mixed Numbers | Examples of adding and subtracting like fractions; The rules for carrying out these functions |

Tuesday | Multiplying Fractions and Mixed Numbers; Dividing Fractions and Mixed Numbers | Step by step processes; Three techniques for dividing fractions; |

Wednesday | Practice with Fraction and Mixed Number Arithmetic; Estimation Problems Using Fractions | The rules for this kind of arithmetic; Techniques for estimating fractions |

Thursday | Solving Problems Using Fractions and Mixed Numbers; How to Solve Complex Fractions | The process of comparing, adding and subtracting fractions; A look at methods for finding answers to complex fractions |

Friday | Using the Number Line to Compare Decimals, Fractions and Whole Numbers; How to Simplify Word Problems with Fractions Using Whole Numbers Equivalent fractions | Locating whole numbers on the number line; Solving word problems by removing fractions How to determine equivalent fractions |

### 1. What is a Decimal Place Value?

In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.

### 2. Comparing and Ordering Decimals

In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.

### 3. Addition, Subtraction, Multiplication, and Division with Decimal Notation

Performing operations such as addition, subtraction, multiplication and division has some differences when there are decimals involved. This lesson will explain how to perform these operations all while keeping the decimals straight.

### 4. Adding and Subtracting Decimals: Examples & Word Problems

In math, we sometimes have to deal with decimal numbers instead of our nice whole numbers. Watch this video lesson to learn the one thing that you have to take into consideration when adding and subtracting decimals.

### 5. Multiplying and Dividing Decimals: Examples & Word Problems

Watch this video lesson to learn what you need to do to get a correct answer when multiplying and dividing decimals. Learn the easy tricks to figuring out where the decimal point goes.

### 6. How to Estimate with Decimals to Solve Math Problems

Watch this video lesson to learn how you can estimate problems with decimals in them so you can get a quick answer when you need it - for example, when you are at the gas station and you need to know how much gas you can afford.

### 7. How to Build and Reduce Fractions

Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.

### 8. How to Find Least Common Denominators

Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.

### 9. Comparing and Ordering Fractions

Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.

### 10. Changing Between Improper Fraction and Mixed Number Form

Improper fractions and mixed numbers are two different types of fractions. They both have different purposes when using fractions in a problem. In this lesson, you will learn how to convert between these two different forms.

### 11. How to Add and Subtract Like Fractions and Mixed Numbers

When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.

### 12. How to Add and Subtract Unlike Fractions and Mixed Numbers

Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.

### 13. Multiplying Fractions and Mixed Numbers

Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.

### 14. Dividing Fractions and Mixed Numbers

Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.

### 15. Practice with Fraction and Mixed Number Arithmetic

Adding whole numbers is one thing. But adding fractions and mixed numbers? That's not so simple. Or is it? In this lesson, we'll practice arithmetic with both fractions and mixed numbers.

### 16. Estimation Problems using Fractions

When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.

### 17. Solving Problems using Fractions and Mixed Numbers

Fractions don't just live in math problems. They're all around us, helping us through our lives. In this lesson, we'll look at real scenarios where your ability to work with fractions can save the day.

### 18. How to Solve Complex Fractions

Did you know fractions can nest within fractions? In this lesson, we'll learn about complex fractions and look at two different methods for solving them.

### 19. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers

Watch this video lesson to learn how useful the number line can be when you need to compare two different numbers, be they whole numbers, decimals or even fractions. Learn how to plot these numbers on the number line so you can compare them.

### 20. 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.

### 21. What are Equivalent Fractions? - Definition & Examples

In this lesson, you'll review some fraction terminology and then learn what equivalent fractions are. Afterward, you can test your new knowledge with a brief quiz.

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### Other Chapters

Other chapters within the Algebra I Curriculum Resource & Lesson Plans course

- Basic Arithmetic in Algebra Lesson Plans
- Percent Notation in Algebra Lesson Plans
- Real Numbers in Algebra Lesson Plans
- Exponents & Exponential Expressions in Algebra Lesson Plans
- Radical Expressions in Algebra Lesson Plans
- Algebraic Expressions & Equations Lesson Plans
- Properties of Functions in Algebra Lesson Plans
- Matrices & Absolute Value in Algebra Lesson Plans
- Working with Inequalities in Algebra Lesson Plans
- Properties of Exponents in Algebra Lesson Plans
- Complex & Imaginary Numbers in Algebra Lesson Plans
- Algebraic Distribution Lesson Plans
- Linear Equations in Algebra Lesson Plans
- Factoring in Algebra Lesson Plans
- Quadratic Equations in Algebra Lesson Plans
- Polynomial Functions in Algebra Lesson Plans
- Rational Expressions in Algebra Lesson Plans
- Cubic Equations in Algebra Lesson Plans
- Measurement & Geometry in Algebra Lesson Plans
- Lesson Plans for Calculations, Ratios, Percent & Proportions
- Data, Statistics, & Probability Lesson Plans
- Well-Known Equations in Algebra Lesson Plans