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**Math Hints: Easy Mathematical Strategies from Counting Through Calculus**

**MathHints.com** (formerly **shelovesmath.com**) is a free website that includes hundreds of pages of math, explained in simple terms, with thousands of examples of worked-out problems. Topics cover **basic counting** through **Differential and Integral Calculus**! Use **Math Hints** to homeschool math, or as a supplement to math courses at school. The website was developed by Lisa Johnson, a retired telecom engineer, who has tutored math for over three decades.

My philosophy on teaching math:

- You can’t study for math tests without
**doing problems**! A lot of times, I think I know the subject I’m tutoring (by looking at the book), and then when I get in there and start solving problems, I realize that I didn’t know it as well as I thought I did! **Learning math should be an active experience and should relate to the world**. For example, use “simpler numbers” if a problem’s numbers are complicated. For example, paying $ \$4$ for $ 2$ oranges makes division more obvious for a unit rate than paying $ \$5.88$ for $ 3$ oranges.**Learning math requires an understanding of what to “memorize” (for example, the tools), and what to “understand”**. We don’t need to reinvent the wheel; it’s already been invented.**Don’t worry if you have to memorize something with math without “understanding” it!****Learning more advanced math is no more than building on what is already known**. For example, if you can add $ 2+2$, and build with mathematical tools that you’ll learn slowly, you can be taught to solve a complicated Calculus problem.**Math books**tend to “brag” and try to explain things with**difficult words**that sometimes don’t make sense! Math can be explained more easily with every-day words.- Sometimes there’s
**just one little concept**that isn’t known or understood that makes a whole new math concept difficult. It maybe required to go backwards and relearn this concept.

**Math = Rules + Examples + Practice, Practice, Practice**! **ENJOY!**

**Note**: Please give me feedback for this site at **lisa@mathhints.com**. Thanks!

**Note**: The **tools** I use to create the graphs and equations are **Graph** (free!) and **MathType**, respectively.

**Basic Math**

Adding and Subtracting | Decimals |

Multiplying and Dividing | Fractions |

Prime Numbers, GCF and LCM | Metric System |

**Pre-Algebra**

Percentages, Ratios, and Proportions | Powers, Exponents, Radicals, and Scientific Notation |

Negative Numbers and Absolute Value | Order of Operations (PEMDAS) |

**Introduction to Statistics and Probability**

**Beginning Algebra**

**Intermediate Algebra**

**Advanced Algebra (also check Pre-Calculus below for Advanced Algebra)**

**Pre-Calculus/Even More Advanced Algebra**

**Trigonometry**

**Differential Calculus**

**L’Hopitals (L’Hôpital’s or L’Hospital’s) Rule** (in Integrals section)