These short lessons are designed to fill in the gaps in understanding of * basic mathematical concepts that many very intelligent people missed*. The topics covered here were identified in a multi-year research study of students enrolled in college algebra and students being tutored for post-secondary high-stakes math tests. The study found that

**straightforward explanations of these concepts along with concrete example**s resulted in a greater than 90% pass rate. Additionally, some students went on to be successful in majors that required several college-level math classes.

**These lessons are designed to be done in order.** Even if you think you understand a topic, watch the video anyway because it may show you a new way to look at a topic that makes other things easier. If you are studying for a high-stakes test, take practice tests as you watch these videos.

Link | Description |
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1. Basics of Negative Numbers | This lesson explains how to add and subtract with negative numbers in a way that will make things to come make more sense. |

2. Multiplication of Fractions | This lesson reviews multiplying fractions. This lays the groundwork for other basic concepts that follow. You may see things in a different, simpler way after viewing this series. |

3. Using Properties to Make Things Easier | This lesson reviews the properties of algebra and how to use them to solve equations. |

4. Fixing Foundational Confusion | This lesson looks at foundational beliefs that may cause confusion in math. A more fool-proof way to use order-of-operations is provided. |

5. Example: Order of Operations | This lesson shows how to simplify an expression using order of operations. We show how to simplify problems in ways that reduce the chance of error. |

6. Factors and Multiples | This lesson explains how to find factors and multiples of numbers. |

7. Exponents | This lesson reviews how to work with exponents, and explains what they mean so that you can remember the rules of dealing with them. |

8. Example Problems From High-Stakes Tests | In this lesson, example problems from the McGraw-Hill practice ACT test are worked and explained. |

9. Pythagorean Theorem | This lesson reviews the Pythagorean Theorem and how to use it. |

10. Percents | This lesson shows how percent relates to fractions and decimals. A percent is an equivalent fraction, with 100 as the denominator. |

11. Review of Percents to Prepare for Word Problems | This lesson reviews some math concepts that you should already know, but may not think of and this will help make solving percent word problems easier. |

12. Percent Word Problems | This lesson explains how to think about and solve percent word problems. It recommends Khan Academy lessons to use to practice. |

13. Number Sense | This video reviews underlying assumptions that students often don't realize are unique to specific number types. |

14. Solving Equations | This lesson reviews how to solve linear equations and walks through a couple of examples. |

15. Examples Worked 1 | This lesson walks through a percent word problem from the ETS Praxis Practice Math test. |