# Ch 10: Probability Mechanics: College Algebra Lesson Plans

### About This Chapter

## Weekly Syllabus

Below is a sample breakdown of the Probability Mechanics chapter into a 5-day school week. 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 Factorial? | An explanation of the fundamental counting principle |

Tuesday | Factorial Practice Problems | The process of calculating factorials |

Wednesday | Factorial Practice Problems | Multiplying consecutive digits and solving practice problems with factorials |

Thursday | What is the Binomial Theorem? | Solving practice problems using the F.O.I.L. technique |

Friday | Binomial Theorem Practice Problems | Dividing the binomial theorem into three steps and solving practice problems |

### 1. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 2. Factorial Practice Problems

While the definition of factorial isn't complicated, it's easy to make them trickier by throwing a lot of them together and adding in some fractions. Test your skills here with some algebraic examples that make you use factorials without many numbers.

### 3. What is the Binomial Theorem?

While the F.O.I.L. method can be used to multiply any number of binomials together, doing more than three can quickly become a huge headache. Luckily, we've got the Binomial Theorem and Pascal's Triangle for that! Learn all about it in this lesson.

### 4. Binomial Theorem Practice Problems

The binomial theorem can be a really helpful shortcut, but it can also be really confusing. Brush up on your skills with this useful rule in these practice problems!

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### Other Chapters

Other chapters within the College Algebra Syllabus Resource & Lesson Plans course

- Foundations & Linear Equations: College Algebra Lesson Plans
- Matrices & Absolute Value: College Algebra Lesson Plans
- Inequalities: College Algebra Lesson Plans
- FOIL, Parabolas & Quadratics: College Algebra Lesson Plans
- Complex Numbers: College Algebra Lesson Plans
- Exponents & Polynomials: College Algebra Lesson Plans
- Functions: College Algebra Lesson Plans
- Rational Expressions: College Algebra Lesson Plans
- Exponentials & Logarithms: College Algebra Lesson Plans
- Sequences & Series: College Algebra Lesson Plans