Pre-Algebra Explained from Udemy

Do you want to ace your next exam by mastering Pre-Algebra? Our Pre-Algebra course features step-by-step video lectures, written lessons, practice tests, and quizzes. In addition to this, each section has a bonus practice test with full step-by-step solutions. If you take this course, you will fully understand all of the fundamental ideas of pre-algebra. Higher math classes like Algebra, Geometry, Trigonometry, and Calculus rely heavily on the principles you'll study. We'll go over operations with whole numbers before moving on to integers, fractions, and decimals. We'll finish up with learning how to calculate the mean, median, and mode of a set of values, as well as how to convert between different units of measurement. The topics of our course include:

#1: Place Value

#2: Expanded Form

#3: Inequalities & the Number Line

#4: Rounding Whole Numbers

#5: Properties of Addition

#6: Adding on a Number Line

#7: Vertical Addition

#8: Subtracting on a Number Line

#9: Vertical Subtraction

#10: Properties of Multiplication

#11: Vertical Multiplication

#12: Multiplication with Powers of 10

#13: Properties of Division

#14: Long Division

#15: Introduction to Exponents

#16: The Order of Operations

#17: Introduction to Integers

#18: Absolute Value

#19: Adding Integers

#20: Subtracting Integers

#21: Multiplying & Dividing Integers

#22: Exponents with a Negative Base

#23: The Order of Operations with Integers

#24: Divisibility Rules for 2 - 12

#25: Factoring Whole Numbers

#26: Introduction to Fractions

#27: Mixed Numbers & Improper Fractions

#28: Finding the Greatest Common Divisor

#29: Simplifying Fractions

#30: Multiplying Fractions

#31: Dividing Fractions

#32: Finding the Least Common Multiple

#33: Adding & Subtracting Fractions

#34: Comparing Fractions

#35: Ratios & Rates

#36: Proportion Definition

#37: Operations with Mixed Numbers

#38: Complex Fractions

#39: Decimal Fractions

#40: Comparing & Rounding Decimals

#41: Adding & Subtracting Decimals

#42: Multiplying Decimals

#43: Dividing Decimals

#44: Changing Fractions to Decimals

#45: Percentages

#46: Mean, Median, & Mode

#47: Converting between U.S. Units

#48: Converting between Metric Units

What's inside

Syllabus

You will have a complete understanding of how to perform operations with whole numbers. You will learn how to perform: Addition, Subtraction, Multiplication, and Division with whole numbers.

In this lesson, we learn about place value.

This quiz will test your knowledge of how to find the place value of a given digit in a number.

In this lesson, we will learn how to add whole numbers using a number line.

In this lesson, we will learn how to write a number in expanded notation.

This quiz will test your knowledge of how to write a number in expanded notation.

In this lesson, we will learn about inequalities, the number line, and inequality relationships between numbers.

This quiz will test your knowledge of inequality relationships between two whole numbers.

In this lesson, we review how to round whole numbers.

This quiz will test your knowledge of how to add whole numbers using a number line.

This quiz will test your knowledge of how to round whole numbers.

In this lesson, we learn how to multiply multi-digit whole numbers using vertical multiplication.

In this lesson, we learn about the various properties of addition.

This quiz will test your knowledge of the various properties of addition (commutative property of addition, associative property of addition).

In this lesson, we learn how to add multi-digit whole numbers using vertical addition.

This quiz will test your knowledge of how to add multi-digit whole numbers when carrying (regrouping) is involved.

In this lesson, we learn how to subtract whole numbers using a number line.

This quiz will test your knowledge of how to multiply multi-digit whole numbers when carrying (regrouping) is required.

This quiz will test your knowledge of how to subtract whole numbers using a number line.

In this lesson, we learn how to subtract whole numbers using vertical subtraction.

This quiz will test your knowledge of how to subtract multi-digit whole numbers when borrowing is required.

In this lesson, we learn how to perform long division with whole numbers.

In this lesson, we learn about the various properties of multiplication.

This quiz will test your knowledge of the various properties of multiplication (commutative, associative, distributive).

In this lesson, we learn how to multiply quickly using trailing zeros.

This quiz will test your knowledge of how to multiply large whole numbers with trailing zeros. You may also hear this topic referred to as multiplying by powers of 10.

This quiz will test your knowledge of basic exponents.

In this lesson, we learn various properties of division.

This quiz will test your knowledge of how to perform single digit division when remainders are involved. We will also test your knowledge of various terms involved in the division operation.

This quiz will test your knowledge of how to divide multi-digit whole numbers using long division.

This quiz will test your knowledge of how to solve a problem with multiple operations using the order of operations (PEMDAS).

In this lesson, we learn how to work with whole number exponents.

In this lesson, we will learn about the order of operations, also known by its acronym PEMDAS.

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Provides a solid foundation in pre-algebra concepts, which are essential for success in subsequent math courses like Algebra, Geometry, Trigonometry, and Calculus

Starts with basic concepts like place value and gradually progresses to more complex topics like fractions and decimals, making it accessible for beginners

Features step-by-step video lectures that can help visual learners grasp concepts more easily and retain information effectively

Includes practice tests and quizzes with step-by-step solutions, allowing students to assess their understanding and identify areas where they need more practice

Covers a wide range of topics, including operations with whole numbers, integers, fractions, and decimals, providing a comprehensive review of basic math skills

Teaches how to convert between different units of measurement, which is a practical skill that can be applied in various real-world situations

Reviews summary

Foundational pre-algebra refresher

According to learners, this course provides a solid foundation in pre-algebra concepts, making it particularly effective for beginners or those needing a refresher. Students frequently highlight the clear explanations provided by the instructor, often delivered through bite-sized videos. The course includes a structured curriculum covering essential topics from whole numbers to decimals and percentages. Learners also appreciate the inclusion of practice tests and quizzes, which help reinforce learning. Overall, reviewers suggest it is a highly recommended starting point for foundational math.

Videos are short and easy to digest.

"The video lessons were short and to the point, which helped me stay focused."

"I liked that the concepts were broken down into small, manageable video segments."

"The length of the lessons was just right – not too long, not too short."

Instructor's approach resonates with learners.

"The instructor's teaching style is calm and methodical, making it easy to follow along."

"I found the instructor's pacing and delivery to be highly effective for learning."

"His approach made math less intimidating and more accessible."

"The instructor has a knack for explaining complex things simply."

Comprehensive coverage of pre-algebra basics.

"This course covered all the fundamental pre-algebra topics I needed to review before moving on."

"The curriculum structure is logical and thoroughly covers the essentials, building block by block."

"I feel like I have a much better grasp of pre-algebra basics now thanks to this course."

"It goes over all the core concepts required for subsequent math courses."

Practice tests and quizzes aid learning.

"The practice tests after each section were incredibly helpful for reinforcing what I learned."

"I really appreciate the quizzes and bonus tests; they allowed me to check my understanding thoroughly."

"The provided practice problems and solutions were essential to mastering the material."

"Having practice tests readily available made a big difference in my study process."

Prepares students for higher math courses.

"I needed this course to get ready for Algebra, and it definitely set me up with the necessary skills."

"It solidified my understanding of the basics needed to succeed in future math classes."

"If you're planning to take Algebra or beyond, this is a crucial stepping stone."

"This course is essential preparation for anyone moving into higher levels of mathematics."

Ideal for those starting or returning to math.

"If you're starting from scratch or haven't done math in ages, this course is perfect for you."

"As someone who struggles with math, this course was exactly what I needed to build my confidence from the ground up."

"I found it to be an excellent starting point before tackling more complex math subjects."

"This course is great if you're just beginning your journey into pre-algebra."

Instructor makes concepts easy to grasp.

"The instructor explained everything in such a clear and simple way that I finally understood concepts I'd struggled with for years."

"I really liked the way the instructor broke down the steps. It made even the harder topics seem manageable."

"The explanations were incredibly easy to follow, making pre-algebra approachable for me."

"Thanks to the instructor's clear teaching, I feel much more confident in my math abilities."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Pre-Algebra Explained with these activities:

Review Basic Arithmetic

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Reinforce your understanding of basic arithmetic operations to build a solid foundation for pre-algebra concepts.

Browse courses on Addition

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Practice addition, subtraction, multiplication, and division problems with whole numbers.
Review the order of operations (PEMDAS/BODMAS).
Work through example problems and check your answers.

Review 'Basic Mathematics'

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Solidify your understanding of fundamental math principles with a classic textbook.

View Neural Networks are Homeomorphisms: An... on Amazon

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Read the chapters on arithmetic and basic algebra.
Work through the example problems and exercises.
Focus on areas where you need additional review.

Review 'Pre-Algebra for Dummies'

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Supplement your learning with a widely used and trusted resource for pre-algebra instruction and practice.

View Fractions For Dummies on Amazon

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Read the chapters corresponding to the course topics.
Work through the example problems and practice exercises.
Use the book as a reference for clarifying difficult concepts.

Four other activities

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Practice Integer Operations

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Sharpen your skills in performing arithmetic operations with integers to prepare for algebraic expressions and equations.

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Solve addition and subtraction problems with positive and negative integers.
Practice multiplication and division problems with integers.
Use a number line to visualize integer operations.

Tutor a Peer in Pre-Algebra

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Reinforce your understanding by explaining pre-algebra concepts to a peer who is struggling with the material.

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Identify a peer who needs help with pre-algebra.
Schedule regular tutoring sessions.
Explain concepts clearly and provide examples.
Answer questions and provide encouragement.

Create a Pre-Algebra Study Guide

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Synthesize your knowledge by creating a comprehensive study guide covering key pre-algebra topics and concepts.

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Summarize the main concepts from each section of the course.
Include example problems and step-by-step solutions.
Organize the study guide logically for easy reference.
Add visual aids such as diagrams and charts.

Design a Pre-Algebra Game

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Apply your pre-algebra knowledge creatively by designing a game that reinforces key concepts and skills.

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Choose a pre-algebra topic to focus on (e.g., fractions, decimals, integers).
Develop game mechanics that require players to use pre-algebra skills.
Create game rules and instructions.
Test the game with others and refine it based on feedback.

Career center

Learners who complete Pre-Algebra Explained will develop knowledge and skills that may be useful to these careers:

Math Tutor

Math tutors provide personalized support to students struggling with math, and pre-algebra is a common area of difficulty. This course offers a comprehensive review of essential pre-algebra topics, including operations with whole numbers, integers, fractions, decimals, percentages, and unit conversions. A math tutor can use the Pre-Algebra Explained course to refresh their knowledge and gain new insights into teaching these concepts. The detailed video lectures and practice tests in the course may be useful for creating customized lesson plans and identifying areas where students need additional help. A section on mean, median, and mode will also prove useful.

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Middle School Teacher

A middle school teacher guides students through increasingly complex mathematical concepts, making a strong understanding of pre-algebra essential. This course thoroughly covers integers, fractions, decimals, ratios, and percentages, all of which are core components of the middle school math curriculum. For a middle school teacher, the Pre-Algebra Explained course is a great way to reinforce their own understanding and develop effective teaching strategies. By reviewing the order of operations, exponents, and unit conversions, a middle school teacher will be well-equipped to address student questions and provide targeted support.

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Math Teacher

A math teacher at any level greatly benefits from an understanding of Pre-Algebra. This course provides a strong foundation in place value, expanded form, and the properties of addition. The detailed explanations of operations with whole numbers, integers, fractions, and decimals that are taught in this course will allow you to teach more effectively. Your students will greatly benefit from a math teacher who themselves has taken this course.

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Elementary School Teacher

An elementary school teacher introduces young minds to fundamental concepts, and a solid grasp of pre-algebra is surprisingly relevant. This course, covering place value, operations with whole numbers, fractions, and decimals, helps a teacher explain these concepts clearly and confidently to their students. This course helps build a strong foundation in the underlying mathematical principles that elementary students will encounter. The sections on unit conversion and mean, median, and mode are directly applicable to the elementary curriculum, making the Pre-Algebra Explained course a valuable asset.

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Homeschool Teacher

Homeschool teachers are responsible for providing a complete education to their children at home. For homeschool parents teaching math, having resources to strengthen their understanding is critical. This course offers a thorough review of pre-algebra concepts, including operations with whole numbers, integers, fractions, decimals, percentages, and unit conversions. By working through the Pre-Algebra Explained course, a homeschool teacher can be confident that they are providing their child with a strong mathematical foundation.

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Curriculum Developer

Curriculum developers design educational materials, and a strong understanding of pre-algebra is crucial for creating effective learning resources for middle school students. This course provides a thorough overview of pre-algebra concepts, including operations with integers, fractions, decimals, ratios, percentages, exponents, and the order of operations. A curriculum developer can use the Pre-Algebra Explained course to ensure that their materials are aligned with established pre-algebra standards and best practices. By examining the course's structure and content, a curriculum developer can gain valuable insights into how to sequence topics and present information in a clear and engaging way.

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Test Preparation Instructor

Test preparation instructors help students prepare for standardized tests, such as the SAT or ACT, which often include pre-algebra questions. This course provides a comprehensive review of essential pre-algebra topics, including operations with whole numbers, integers, fractions, decimals, percentages, and exponents. A test preparation instructor can use the Pre-Algebra Explained course to identify areas where students need additional support and develop targeted practice materials. The sections on order of operations and unit conversions are particularly relevant for test preparation.

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Adult Education Instructor

Adult education instructors teach a variety of subjects to adult learners, and mathematics is often a popular area of study. Some adult learners may want to take a Pre-Algebra Explained course to refresh their skills or prepare for further education. The course provides a comprehensive overview of essential pre-algebra concepts, including operations with whole numbers, integers, fractions, decimals, ratios, and percentages. An adult education instructor can use this course as a reference and supplemental material for their students.

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Instructional Designer

Instructional designers create engaging and effective learning experiences, often in the digital realm. This course, with its step-by-step video lectures, practice tests, and quizzes, offers valuable insights into how to design a pre-algebra course that meets the needs of diverse learners. The Pre-Algebra Explained course may be a good inspiration for an instructional designer working on mathematics education. By studying the course's structure and features, an instructional designer can learn how to create interactive and accessible learning materials that promote student success.

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Educational Consultant

Educational consultants advise schools and educational organizations on best practices in teaching and learning. A complete understanding of pre-algebra, as taught in this course, may be helpful for consultants to make recommendations on curriculum and instruction in mathematics. The comprehensive coverage of topics like integers, fractions, decimals, and percentages in the course will keep a consultant informed of the scope and sequence of pre-algebra instruction. By familiarizing themselves with resources like the Pre-Algebra Explained course, educational consultants can provide informed guidance to educators and schools looking to improve their math programs.

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Data Analyst

Data analysts interpret and analyze data to identify trends and insights. This course provides a strong understanding of the fundamental mathematical concepts needed for data analysis. The topics in the Pre-Algebra Explained course such as mean, median, and mode are directly applicable to data analysis. The course's emphasis on problem-solving may prove helpful for a Data Analyst.

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Budget Analyst

Budget analysts help organizations manage their finances by developing and monitoring budgets. This course provides a good foundation in basic mathematical concepts, including operations with whole numbers, integers, decimals, percentages, and ratios. A budget analyst uses these skills to analyze financial data, track expenses, and make recommendations for cost savings. A deeper understanding of place value, which is taught in this course, may prove useful for budget analysis.

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Statistician

Statisticians collect, analyze, and interpret data to solve real-world problems. While this career typically requires an advanced degree in statistics or a related field, this course helps build a foundation in the essential mathematical skills needed for success. Many concepts build on those taught in Pre-Algebra Explained, and could prove to be useful for future statisticians.

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Accountant

Accountants manage financial records and prepare taxes, requiring a strong understanding of basic mathematical principles. This course provides a solid foundation in whole numbers, integers, decimals, and percentages. An accountant uses these concepts daily. The emphasis on accuracy and attention to detail in this Pre-Algebra Explained course will reinforce the skills needed for success in accounting.

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Financial Analyst

Financial analysts evaluate investment opportunities and provide financial advice to businesses and individuals. While this career typically requires a strong understanding of advanced mathematics, a solid foundation in pre-algebra is essential. The Pre-Algebra Explained course covers essential concepts such as percentages, ratios, decimals, and fractions, which are all used in financial calculations. Understanding these concepts helps build a strong base for success as a Financial Analyst.

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Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Pre-Algebra Explained.

Fractions For Dummies

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Provides a comprehensive overview of pre-algebra concepts in an accessible and easy-to-understand format. It is particularly helpful for students who need a refresher on basic math skills or who are struggling with the material. The book includes numerous examples, practice problems, and quizzes to reinforce learning. It serves as a valuable reference tool for students throughout the course.

Fractions For Dummies

Paperback

Neural Networks are Homeomorphisms

Save

Provides a solid foundation in basic mathematical concepts, including arithmetic, algebra, and geometry. It is particularly useful for students who need to review prerequisite knowledge before starting pre-algebra. The book is known for its clear and concise explanations, as well as its rigorous approach to mathematics. It is often used as a textbook in introductory mathematics courses.

Neural Networks are Homeomorphisms: An Introduction...

Paperback

Pre-Algebra Explained

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What's inside

Syllabus

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Reviews summary

Foundational pre-algebra refresher

Activities

Career center

Reading list

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