Pre-Algebra Explained from Udemy

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.

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Place Value

(Optional Content) Practice Set Video

In this lesson, we learn about place value.

Place Value Practice Test

(Optional Content) Practice Test Full Solutions

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

Expanded Notation

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.

Expanded Notation Practice Test

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

Inequalities and the Number Line

Adding Whole Numbers using a Number Line Practice Test

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

Inequalities and the Number Line Practice Test

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

Rounding Whole Numbers

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

Rounding Whole Numbers Practice Test

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.

Properties of Addition

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.

Properties of Addition Practice Test

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

Adding Whole Numbers using a Number Line

Multi-Digit Addition (Vertical Addition)

Multi-Digit Multiplication Practice Test

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

Multi-Digit Addition Practice Test

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

Subtracting Whole Numbers using a Number Line

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

Subtracting Whole Numbers using a Number Line Practice Test

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.

Multi-Digit Subtraction (Vertical Subtraction)

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

Multi-Digit Subtraction (Vertical Subtraction) Practice Test

Multiplication with Trailing Zeros

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

Properties of Multiplication

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

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

Properties of Multiplication Practice Test

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

Multi-Digit Multiplication (Vertical Multiplication)

Long Division Practice Test

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

Multiplication with Trailing Zeros Practice Test

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.

Properties of Division

This quiz will test your knowledge of basic exponents.

In this lesson, we learn various properties of division.

Properties of Division Practice Test

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.

Long Division

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

Introduction to Exponents

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.

Introduction to Exponents Practice Test

The Order of Operations (Whole Numbers)

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

The Order of Operations (Whole Numbers) Practice Test

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

Introduction to Integers

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

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Fractions For Dummies

Kindle Edition

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Neural Networks are Homeomorphisms

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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

What's inside

Syllabus

Save this course

Activities

Career center

Reading list

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