These math lessons were created in honor of Dr. Lee V. Stiff and Marvin Pittman, nationally recognized experts, scholars, and advocates for equity in mathematics education.
The goal of this series of short videos is to help intelligent students who fear having to change their chosen paths due to math gaps.
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 examples 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.
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|Link||Khan Academy Practice||Description|
|1. Basics of Negative Numbers||Khan Pratice Adding and Subtracting Negatives|
Khan Practice Subtracting
|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||Khan Practice Multiplying 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. Fixing Foundational Confusion||Khan Order of Operations Practice||This lesson looks at foundational beliefs that may cause confusion in math. A more fool-proof way to use order-of-operations is provided.|
|4. Using Properties to Make Things Easier||Khan Properties|
|This lesson reviews the properties of algebra and how to use them to solve equations.|
|5. Example: Order of Operations||Simplifying Expressions||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||Khan Practice Factors|
Khan GCF and LCM Word Problems
|This lesson explains how to find factors and multiples of numbers.|
|7. Exponents||Khan 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||McGraw-Hill ACT Pracitce Tests||In this lesson, example problems from the McGraw-Hill practice ACT test are worked and explained.|
|9. Pythagorean Theorem||Khan Pythagorean Theorem||This lesson reviews the Pythagorean Theorem and how to use it.|
|10. Percents||Khan Fractions to 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||Khan Review of Percents||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||Khan 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||Khan Praxis Percentages||This lesson walks through a percent word problem from the ETS Praxis Practice Math test.|
|16. Examples Worked 2||Khan Reasoning Praxis||This lesson works through a question on the sample Praxis math test from ETS. This is an example of a question that you have to reason your way to the answer, and use a few basic math concepts in doing so.|
|17. Examples Worked 3||Khan Reasoning Praxis|
|This lesson works through a question on the sample Praxis math test from ETS. This is an example of a question that at first glance looks like it would take hours of tedious work to answer, however, it can be answered quickly by finding a pattern.|