Ch 3: Inequalities: College Precalculus Lesson Plans
About This Chapter
Weekly Syllabus
Below is a sample breakdown of the Inequalities 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 | Inequalities | Graphs of 1-variable inequalities on a number line; graphs of 2-variable inequalities on the coordinate plane |
| Tuesday | Compound inequalities | Problems requiring multiple 1-variable inequalities; graphs of 'and' compound inequalities and 'or' compound inequalities; set notation |
| Wednesday | Systems of inequalities | Problems requiring multiple 2-variable inequalities |
| Thursday | Absolute value inequalities | Graphs of 1- and 2-variable absolute value inequalities |
| Friday | Graphs of inequalities | Practice problems for graphing systems of inequalities and absolute value inequalities |
1. What is an Inequality?
Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!
2. How to Graph 1- and 2-Variable Inequalities
So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!
3. Set Notation, Compound Inequalities, and Systems of Inequalities
In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.
4. Graphing Inequalities: Practice Problems
If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.
5. How to Solve and Graph an Absolute Value Inequality
Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!
6. Solving and Graphing Absolute Value Inequalities: Practice Problems
Solving and graphing absolute value inequalities brings a lot of different skills together in one place. The practice problems in this video will give you a good chance to see more examples of absolute value inequalities but will also test your general algebraic knowledge.
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Other Chapters
Other chapters within the College Precalculus Syllabus Resource & Lesson Plans course
- Functions: College Precalculus Lesson Plans
- Exponential & Logarithmic Functions: College Precalculus Lesson Plans
- Foundations & Linear Equations: College Precalculus Lesson Plans
- Graphing & Rational Equations: College Precalculus Lesson Plans
- Quadratic Equations: College Precalculus Lesson Plans
- Exponents & Polynomials: College Precalculus Lesson Plans
- Piecewise & Composite Functions: College Precalculus Lesson Plans
- Geometry & Trigonometry: College Precalculus Lesson Plans
- Using Scientific Calculators: College Precalculus Lesson Plans
- Trigonometry: College Precalculus Lesson Plans
