# Ch 1: Basic Math Review: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering SAT mathematics level 2 material will benefit from taking this course. There is no faster or easier way to prepare for this SAT math subject test. Among those who would benefit are:

- Students who have fallen behind in understanding how to work with decimals, fractions and percents
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to review basic math for the SAT test
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Basic Math Review chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Basic Math Review chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any basic math question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a basic math review unit of a standard math course. Topics covered include:

- Understanding the types of numbers
- Using the correct order of operations
- Finding the prime factorization
- Discovering the greatest common factor
- Finding the least common multiple
- Determining the least common denominator
- Building and reducing fractions
- Comparing and ordering fractions
- Solving complex fractions
- Working with ratios and proportions
- Changing between decimals and percents
- Converting between decimals and fractions
- Working with mathematical sets

### 1. What are the Different Types of Numbers?

Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.

### 2. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

### 3. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

### 4. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

### 5. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

### 6. How to Build and Reduce Fractions

Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.

### 7. How to Find Least Common Denominators

Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.

### 8. Comparing and Ordering Fractions

Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.

### 9. Estimation Problems using Fractions

When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.

### 10. How to Solve Complex Fractions

Did you know fractions can nest within fractions? In this lesson, we'll learn about complex fractions and look at two different methods for solving them.

### 11. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

### 12. What is a Percent? - Definition & Examples

Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.

### 13. Changing Between Decimals and Percents

Watch as we go on a rollercoaster ride in changing from a decimal to percent and then back again. Learn to master this technique so you can get as fast as a rollercoaster going downhill on tests and quizzes when you have to convert between the two.

### 14. Converting Decimals to Fractions (and Back)

In this lesson, learn how to convert decimals to fractions, and how to convert fractions to decimals. You will cement this knowledge in your mind by working through practice problems with both proper fractions and mixed numbers.

### 15. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

### 16. Ruler Postulate: Definition & Examples

This lesson explains the definition of the ruler postulate. You'll see several examples that use the ruler postulate. Then, you can check your knowledge with a quiz.

### 17. What is a Fact Family? - Definition & Examples

In this lesson, learn what fact families are and how they work to help you understand that numbers in a fact family are related. Gain a better of understanding of how addition and subtraction work together, and study the relationship between multiplication and division.

### 18. What is a Multiple in Math? - Definition & Overview

In this lesson we will learn about multiples, a useful concept usually introduced in grammar school multiplication tables. Understanding multiples allows you to find the least common multiple or least common denominator for two or more numbers.

### 19. What is a Positive Integer? - Definition & Examples

We use positive integers in our everyday lives. We see them everywhere in the world around us. Learn what positive integers are and what you can do with them.

### 20. Basic Arithmetic: Rules & Concepts

This lesson provides basic rules and concepts of arithmetic, the area of math that involves addition, subtraction, multiplication, and division. This lesson shares details about each operation and how they relate to one another in arithmetic.

### 21. How to Do Double Digit Multiplication: Steps & Practice Problems

In this video, we'll explore different strategies for multiplying numbers with two digits, including the box, distribution and column methods, and use examples to see how they work.

### 22. How to Teach Double Digit Multiplication

Need a way to teach double digit multiplication that will work for some students that aren't quite catching on? This lesson goes over several different methods and shows some examples.

### 23. Double Digit Multiplication Strategies

In this lesson, we will learn three different strategies for double digit multiplication including the traditional method, the box method, and the partial product method.

### 24. Counting On in Math: Definition & Strategy

Because mental math is a very useful life skill, there are many different concepts. This lesson is designed to define what counting on means. It will also give strategies for helping students understand and have the ability to use counting on in addition.

### 25. What are Turn Around Facts in Math?

Understanding what turnaround facts are can help you more easily learn addition and multiplication facts. In this lesson, we'll look at turnaround facts and the commutative property of addition and multiplication.

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### Other Chapters

Other chapters within the SAT Mathematics Level 2: Help and Review course

- Square Roots: Help and Review
- Basic Algebraic Expressions in Math: Help and Review
- Exponents in Math: Help and Review
- Linear Equations & Inequalities in Algebra: Help and Review
- Absolute Value Equations & Inequalities: Help and Review
- Polynomials in Algebra: Help and Review
- Functions in Math: Help and Review
- Rational Expressions in Algebra: Help and Review
- Matrices: Help and Review
- Sequences and Series in Math: Help and Review
- Exponentials and Logarithms in Math: Help and Review
- Complex Numbers in Math: Help and Review
- Coordinate Geometry Basics: Help and Review
- Graphing Linear Equations & Inequalities: Help and Review
- Advanced Coordinate Geometry: Help and Review
- Three-Dimensional Geometry: Help and Review
- Overview of Trigonometry: Help and Review
- Probability, Combinations & Permutations: Help and Review
- Working with Data & Statistics: Help and Review
- Logic: Help and Review
- Limits in Math: Help and Review