# William Springer

## A Catalogue of 24 Resources for Physics Lessons: How the World Works

Physics has a reputation for being something that smart people do, but actually we all use it every day. Learn some of the fundamentals behind the science that attempts to explain the universe.

## How Life Works: An Introduction to Cell Theory

What are you made of? Skin cells, blood cells, ear and eye and nose cells…how do they all work? Learn about the “little rooms” that make up the building blocks of life.

## How to Estimate Answers to Math Problems Quickly: The Key to Estimation

Want to be able to answer math questions quickly? Sometimes you don’t need an exact answer; often an estimate is good enough. Learn how to estimate the solutions to math problems quickly!

## How to Determine the Molecular Formula of a Compound from the Empirical Formula

A formula of a chemical compound describes the ratio of different elements in the compound; depending on the type of formula, it may also identify the structure.

## What is a Remainder in Math, and Why Do We Care?

What is a remainder, and why do we want to find one? We discuss this basic math operation.

## Multiplying Mixed Fractions the Easy Way

Many students struggle with multiplying fractions, especially when they’re mixed numbers rather than simple fractions. Learn how to change mixed numbers into improper fractions and multiply them quickly and easily.

## Rational and Irrational Numbers: What’s the Difference, Including a Discussion of Pi

Are you crazy about irrational numbers? Come learn the difference between a rational and an irrational number, and make friends with some of the most famous irrational numbers of all time.

## What is Prime Factorization? Explanation, Examples & Practice Questions

What is prime factorization, and why should you care? We cover how to find the prime factorization of a number and briefly mention a few areas where doing this may come in handy.

## Learn the Differences between Nuclear and Chemical Reactions: Explanation

Two distinct types of reactions will generally be covered in a high school chemistry class: chemical reactions and nuclear reactions. What’s the difference, and how are they alike?

## Solving Fraction Problems: Least Common Denominators

When comparing fractions, we first find the least common denominator using the same steps as when finding the lowest common multiple.

## Factor Trees in Math: Making Factoring Easy

What is a factor tree, and why would you want to make one? This is a helpful homework study guide for students first learning how to do fractional math.

## Steps to Subtract Fractions: Solving Subtracting Problems That Involve Fractions

Given two fractions, how can you find the difference? We discuss how to solve subtraction problems involving fractions.

## Steps to Dividing Fractions: Learn the Easy Way to Divide Fractions

Dividing fractions is actually quite simple, if you already understand how to multiply them. We cover how to use the reciprocal to quickly divide fractions.

## Comparing Fractions with Like Denominators: Information for Students

Which is bigger, 3/5 or 5/8? First you find the common denominator, then you compare! Learn how to compare fractions when you have like denominators.

## Product Factors in Math: Finding Math Factors and Prime Factors

What is the product, and what is the factor? Read one to learn how to keep your math terminology straight.

## Ratio Math Practice: Definition of a Ratio & Sample Problems

What is a ratio, and how to we find one? Learn how to use ratios to solve simple math problems.

## Learning the Order of Operations: Figure Out Where to Put the Parentheses and Evaluate the Expression

Who is Aunt Sally, and what does she have to do with arithmetic? Read on to learn more about the Order of Operations and PEMDAS.

## What is a Composite Number? Definition of Prime and Composite Numbers, and Why We Care

What makes a number prime or composite? These two definitions are surprisingly easy to remember. Continue on for tricks on remembering them and help with math problems.

## The Laws of Algebra: Understanding the Commutative and Associative Laws

What’s the difference between the associative and commutative laws, and why should you care? Understanding the basic algebraic laws gives you an understanding of the core of algebra itself.

## Counting Change Back: An Algorithm & Practice

Have you ever wondered what’s the best way to count change? Learn how a computer would do it!