# 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?

There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.

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

The order of operations in mathematics is the sequence in which a problem is solved. Explore the definition and examples of the order of operations in math, discover the steps involved, and learn the shortcut for remembering the steps defined by the acronym PEMDAS.

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

The prime factorization of a number is found by breaking a number down to its prime factors. Discover the definitions of prime number, factor, and prime factorization and explore factors of a number, prime numbers, and the two methods used for finding prime factorization.

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

To find the greatest common factor, look at all the factors of two numbers and see which factor is the largest that they have in common. Learn what a factor is and study examples of how to find the greatest common factor.

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

The smallest number that can be evenly divided by two numbers is the least common multiple of those two numbers. Learn about the least common multiple, why it is important, and how to find it. Understand what a multiple is, and recognize that sometimes, the least common multiple of two numbers is one of the original numbers.

### 6. How to Build and Reduce Fractions

In mathematics, fractions are numerical quantities used to represent something that is a portion of a whole, such as a piece of pie that is 1/8, or one of eight pieces, of an entire pie. Learn what fractions are and recognize the difference between the numerator and denominator. Explore how to build and then how to reduce fractions, and understand the role of the greatest common factor (GCF) in this process.

### 7. How to Find Least Common Denominators

Finding the least common denominator requires calculating the least common multiple of two or more denominators. Learn the definition of multiples, explore how to use them to find the least common denominator, and understand the examples.

### 8. Comparing and Ordering Fractions

When comparing and ordering fractions, you need to have a common denominator. Learn how to find the common denominator and understand how to compare and order fractions.

### 9. Estimation Problems using Fractions

In mathematics, estimation is the process of calculating the approximate value of something. Learn how to use fractions to work estimation problems. Understand when close counts and do practice problems to gain more understanding of estimating.

### 10. How to Solve Complex Fractions

Complex fractions are fractions that contain fractions in the numerator, denominator, or both. Learn the two methods used to manage and solve complex fractions by simplifying the problem.

### 11. Calculations with Ratios and Proportions

Ratios allow us a way to mathematically compare two or more items, and proportions can help us find out even more information. Learn the definition of ratios and proportions, and understand how to calculate ratio and proportion problems.

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

In mathematics, a percent refers to each part of something, such as test scores, divided into 100 units. Explore the definition of percent and understand what it means by reviewing examples, writing percentages using three methods, and examining uses for percentages.

### 13. Changing Between Decimals and Percents

In mathematics, decimals and percents both represent numbers that are not whole. Explore how to identify decimals and percents, and learn how to change a number from a decimal to a percent, as well as from a percent to a decimal.

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

In mathematics, decimals and fractions both represent numbers that are not whole. Learn how to convert decimals to fractions, as well as how to convert fractions to decimals. Work problems to gain more understanding.

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

Mathematical sets are collections of objects or concepts that can be joined together to become mathematical building blocks. Learn about mathematical sets and understand their function in mathematics. Explore the roles of elements, intersections, and unions in mathematical sets.

### 16. Ruler Postulate: Definition & Examples

In mathematics, the ruler postulate states that on a number line or a ruler, any two points can be named as numbers, or coordinates, and the distance between the two coordinates is their difference. Explore the definition and examples of the ruler postulate. Consider the postulate on a ruler, as well as a number line, and recognize how to handle calculations that yield negative numbers.

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

A fact family is a group of equations or calculations involving the same three numbers. Learn how to define a fact family, explore family relationships for addition, subtraction, multiplication, and division, then review examples of each type.

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

A multiple in math is a number that has been multiplied by an integer. Learn about the definition of multiples, an overview of prime factorization, and how to find the least common multiple.

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

Positive integers are all whole numbers, both positive and negative, that are larger than zero and do not include fractions or decimals. Learn more about the definition of positive integers and discover how to spot real-world examples of integers, such as speed limit signs and prices on dinner menus.

### 20. Basic Arithmetic: Rules & Concepts

There are four basic operations in arithmetic: addition, subtraction, multiplication, and division. Learn about the mathematical properties of each of these operations and how to perform them.

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

Double digit multiplication can be done using three different methods which can be useful for different modes of learning. Explore the steps and practice problems involving the box, distribution, and column methods of double digit multiplication.

### 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 mathematics, multiplication is the process of finding the product of two numbers. Learn strategies for multiplication with numbers that have double digits, including the traditional, box, and partial product methods.

### 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?

Simply stated, turnaround facts are the palindromes of the math world. Learn more about what turnaround facts are and how the commutative property is used to make sense of these unique computations.

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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