Zero To Hero! Learn Algebra Groupings And Like Terms

Learn & practice Algebra today; groupings, like / unlike terms, brackets, polynomials, base, coefficients, powers

Created byPeter Alkema, Quentin Ballard-Tremeer

Last updated 9/2023

English

What you'll learn

Identify the concept of like terms in algebra.
Remember the key characteristics that define like terms.
Understand the importance of grouping and like terms in algebraic expressions.
Apply the concept of like terms to simplify algebraic expressions.
Analyze algebraic expressions to identify and combine like terms.
Evaluate the necessity of rearranging terms before combining like terms.
Create algebraic expressions by combining like terms.
Apply addition and subtraction operations to like terms.
Demonstrate the ability to add and subtract like terms using appropriate sign rules.
Solve equations by isolating and combining like terms.
Understand the different types of brackets and their significance in algebra.
Analyze algebraic expressions with inner brackets to determine grouping and like terms.
Evaluate the impact of inner brackets on the simplification of algebraic expressions.
Apply the distributive property to expand and simplify algebraic expressions with brackets.
Recognize and combine like terms within algebraic expressions containing brackets.
Create algebraic expressions with inner brackets and like terms.
Apply polynomial theory to understand the concept of polynomials.
Differentiate between monomials, binomials, and trinomials in polynomial expressions.
Analyze polynomial expressions to identify the highest degree and leading coefficient.
Understand the addition and subtraction of polynomials.
Apply polynomial operations to combine and simplify polynomial expressions.
Solve equations involving polynomials by manipulating and rearranging terms.
Analyze real-world problems and translate them into polynomial expressions.
Evaluate the application of polynomials in various fields, such as physics or finance.
Create polynomial expressions that model real-world situations.
Demonstrate the ability to solve practice questions related to groupings and like terms.
Apply critical thinking skills to approach complex algebraic problems involving like terms.
Assess your understanding of groupings and like terms through self-evaluation exercises.
Evaluate your progress in mastering groupings and like terms through assessments.
Demonstrate proficiency in solving problems related to groupings and like terms in a final course project.

Course content

8 sections • 25 lectures • 2h 51m total length

Introduction2:00
Welcome to this introduction to Algebra basic course. You’ve made a great choice to go from zero to hero so that you get the foundations right.
A solid introduction to algebra is so important for the rest of your maths journey so join us in this course as we help you achieve your goals.
Hello My Name Is Kyle, Welcome To This Course, I Am A Professional Maths Tutor5:15
Kyle is a full time professional maths tutor with many years of experience. in this lesson he talks about how he approaches online learning and how you can get the maximum benefit from this course.
Go Ahead And Please Introduce Yourself To Everyone Else In This Course0:23
This is your opportunity to share something about yourself with the rest of the students in this course. Tell us all about your goals and what you want to achieve. You can come back to this board and add more thoughts as you go through the course and achieve your goals. Seeing all the other students in the course will also motivate you and keep you going as you participate in this community of learning.
Let's Celebrate Your Progress In This Course: 25% > 50% > 75% > 100%!!1:20
Throughout this course we will celebrate your progress at 25%, 50%, 75% and 100%. I really want you to succeed but you need to take action and keep going so look forward to these milestones of progress. I will see you there and cheer you on as you keep going from one milestone to the next >>
Introduction To Like Terms & Grouping In Algebra And What Will be Covered1:21

Like Terms; Follow Along And Gain These Key Skills8:36
Understand what a term and like-term is in Mathematics. Gain crucial skills to work with multi-variable terms and identify which terms can interact through the skill of like-term identification. These skills are needed for Grouping of Terms. Avoid confusion by correctly understanding how coefficients are seen when identifying like-terms
Learn Like Terms In Algebra by Understanding Unlike Terms8:24
Gain a complete understanding of Like-Terms by understanding what Unlike-Terms are. Knowing the difference is very important for the technique of Grouping. We cover a short introduction to Polynomial (Term) theory to understand the words "Coefficient", "Base", and "Exponent" or "Power"
Addition And Subtraction Of Like Terms: Worked Example Number 15:48
Learn to correctly use Like-Term identification to perform the technique of Grouping. In this lecture we cover our first example working with the variables 'x' and 'y'. Become comfortable and happy to correctly rearrange terms and put like terms together (grouping).
You've Achieved 25% >> Let's Celebrate Your Progress And Keep Going To 50% >>0:24
Throughout this course we will celebrate your progress at 25%, 50%, 75% and 100%. I really want you to succeed but you need to take action and keep going so look forward to these milestones of progress. I will see you there and cheer you on as you keep going from one milestone to the next >>
Addition And Subtraction Of Like Terms: Worked Example Number 26:25
In this lecture we continue to learn how to correctly perform grouping with like-terms and extend our practice to terms with more variables and higher powers. Become comfortable solving more complex grouping problems through this worked example.
Addition And Subtraction Of Like Terms: Worked Example Number 35:28
Learn to correctly apply the Distributive Law to questions involving Grouping as seen in this lecture. Revise the Distributive Law and understand its use in multi-step solutions and continue to apply your knowledge of grouping to simplify expressions correctly.

Introduction To Grouping And Like Terms Practice Questions1:46
In this set of practice questions we focus on correctly identifying like terms ensuring this technique makes perfect sense to you whilst adding to our practice. Practice applying this technique to correctly group like terms and advance your algebra knowledge! We will also engage in questions that involve the Distributive Law as we continue to group the terms
Introduction To Grouping And Like Terms Practice Question 111:58
Practice identifying like-terms and grouping them together. Apply your knowledge of Like-Terms and Grouping in this Practice Set to boost your algebra knowledge!
You've Achieved 50% >> Let's Celebrate Your Progress And Keep Going To 75% >>0:29
Throughout this course we will celebrate your progress at 25%, 50%, 75% and 100%. I really want you to succeed but you need to take action and keep going so look forward to these milestones of progress. I will see you there and cheer you on as you keep going from one milestone to the next >>
Introduction To Grouping And Like Terms Practice Question 217:17
Apply our knowledge of identifying like terms to algebra problems. Combine your knowledge of Grouping with the Distributive Law to create/arrange like terms and then simplify with addition and subtraction. Learn, practice and become and Algebra Master!

Inner Brackets And Types Of Brackets18:40
Learn about the three different types of Brackets in Mathematics and how we combine them with the Distributive Law. Apply your knowledge of Grouping Terms as we work through and understand how Inner Brackets work and how to correctly simplify them.
Inner Brackets And Types Of Brackets29:11
In this lecture we continue to practice Inner Bracket knowledge with a more complicated example. Continue to boost your knowledge of algebra as we apply the Distributive Law and Grouping in a seemingly complicated question that is quickly broken down with the correct techniques. Understand that a step-by-step approach is always best when dealing with more complex examples and quickly avoid any anxiety that is often created by longer solves

Learn Polynomial Theory - Part 111:41
Gain a complete understanding of the words 'coefficient', 'base' and 'power' or 'exponent' as we cover the theory of Polynomials. Understand how to define types of polynomials (monomial, binomial, etc.) and how to properly calculate the degree of a polynomial.
Learn Polynomial Theory - Part 29:26
In this lecture we cover the four rules that allow us to determine if an expression is a polynomial or not. Gain a complete understanding of each rule with worked examples and become more comfortable in recognising and working with polynomials
You've Achieved 75% >> Let's Celebrate Your Progress And Keep Going To 100% >>0:31
Throughout this course we will celebrate your progress at 25%, 50%, 75% and 100%. I really want you to succeed but you need to take action and keep going so look forward to these milestones of progress. I will see you there and cheer you on as you keep going from one milestone to the next >>

Practice Questions Set 2 - Overview2:15
Practice Questions - Solutions 1-320:20
In this lecture we look at the complete solutions for questions 1 - 3 in the Practice Questions Set. Confirm your understanding of the Distributive Law and Grouping. Ensure you can correctly apply the theory of Polynomials to expressions by analysing the degree and number of terms in a polynomial and Polynomial identification.
Practice Questions - Solution 427:40
In this lesson Kyle demonstrates how to solve question of the practice questions. Follow along to gain the detailed understanding you will need in order to solve similar questions in Algebra.

Bonus Lecture3:21
Find out more about Kyle and Peter - we offer extensive coaching and support to students just like you. Get in touch with Kyle for professional maths tutoring and Peter provides career guidance and support for studying after school. You can subscribe to the YouTube channel, check out the podcast, join the mailing list and much more! Take advantage of our skills and experience so you maximise your school and workplace success.
You've Achieved 100% >> Let's Celebrate! Remember To Share Your Certificate!!1:04
Throughout this course we will celebrate your progress at 25%, 50%, 75% and 100%. I really want you to succeed but you need to take action and keep going so look forward to these milestones of progress. I will see you there and cheer you on as you keep going from one milestone to the next >>

Requirements

There are no requirements or prerequisites for this course, but the items listed below are a guide to useful background knowledge which will increase the value and benefits of this course.
Basic understanding of arithmetic operations (addition, subtraction, multiplication, and division).
Familiarity with elementary algebraic concepts, such as variables, constants, and equations.
Proficiency in basic mathematical operations involving integers, fractions, and decimals.

Description

Are you ready to conquer algebra and become a hero in the world of mathematics? Look no further! In this comprehensive course, "Zero To Hero! Learn Algebra Groupings And Like Terms," you will embark on a transformative journey that will equip you with the essential skills to master algebraic groupings and like terms.

As an experienced instructor with over 20 years of expertise in business and a genuine passion for teaching, I understand the challenges that students face when grappling with algebra. That's why I've designed this course to demystify the complexities of groupings and like terms, allowing you to confidently navigate through the world of algebra.

But why is algebra relevant today? The power of algebra lies in its practical applications across various fields, from engineering and physics to finance and computer science. By developing a solid foundation in algebra, you'll enhance your problem-solving abilities, logical reasoning, and critical thinking skills—attributes highly sought after in today's competitive world.

Now, let's dive into the exciting journey you'll undertake in this course. We'll begin with a comprehensive introduction, setting the stage for your algebraic adventure. You'll gain a clear understanding of what like terms and groupings entail and discover the essential concepts that will be covered throughout the course.

Next, we'll delve into the intricacies of like terms, dissecting their components and equipping you with invaluable skills. Through interactive lessons, we'll explore how unlike terms can be transformed into like terms, empowering you to simplify algebraic expressions effortlessly. We'll reinforce your learning with a series of worked examples, showcasing real-life applications and providing you with practical insights.

With a strong foundation in like terms, we'll transition to the fascinating world of grouping in algebra. You'll uncover the various types of brackets and gain proficiency in handling inner brackets effectively. Through engaging lessons, we'll explore the power of algebraic manipulation within brackets, equipping you with the tools to simplify complex expressions with ease.

But we won't stop there! To solidify your algebraic prowess, we'll introduce you to the realm of polynomials—a critical area in algebra. We'll embark on a captivating journey through polynomial theory, dissecting its principles, and unveiling the intricacies of polynomial manipulation. By the end of this section, you'll be able to confidently navigate polynomial expressions, setting you on the path to algebraic mastery.

Throughout this course, your progress will be enhanced through a variety of practice questions and solutions. You'll have the opportunity to test your understanding, reinforce key concepts, and fine-tune your skills through interactive assessments and projects. Our comprehensive workbook, consisting of one-page worksheets for each lesson, will serve as your trusty companion, providing a comprehensive resource for your learning journey.

What sets this course apart from others on the market is our commitment to delivering a transformative learning experience. We understand that algebra can be daunting, which is why we've crafted a course that combines comprehensive instruction, practical examples, and engaging assessments to ensure your success. Our step-by-step approach, coupled with real-life applications, will demystify complex concepts and empower you to apply your newfound knowledge confidently.

By enrolling in "Zero To Hero! Learn Algebra Groupings And Like Terms," you'll unlock a world of mathematical possibilities. Whether you're a high school student preparing for exams, a college student seeking to strengthen your foundation, or an adult learner looking to enhance your problem-solving skills, this course is tailored to meet your needs.

Don't miss this opportunity to transform your algebraic journey. Enroll today and embark on a path towards algebraic mastery, where you'll conquer groupings, like terms, and unlock the potential within you. Join our community of learners and let's unlock the hero within you together!

Who this course is for:

High school students who are studying algebra and want to improve their understanding of groupings and like terms.
College students pursuing science, technology, engineering, or mathematics (STEM) disciplines often encounter algebraic concepts.
Adults who are returning to education and wish to refresh their algebra skills will find this course beneficial.
Parents who homeschool their children and are responsible for teaching algebra can utilize this course as a teaching aid.
Instructors working at tutoring centers or providing private tutoring services can recommend this course to their students.
Individuals with a general interest in mathematics or those who enjoy exploring mathematical concepts will find value in this course.

Zero To Hero! Learn Algebra Groupings And Like Terms

What you'll learn

Explore related topics

Course content

Introduction5 lectures • 10min

Learn Groupings And Like Terms In Algebra6 lectures • 35min

Grouping And Like Terms Practice Questions And Solutions4 lectures • 32min

Brackets2 lectures • 18min

Learn Polynomials in Algebra So You Go From Zero To Hero!3 lectures • 22min

Practice Questions Set 23 lectures • 50min

Quiz & Assignment0

Conclusion2 lectures • 4min

Requirements

Description

Who this course is for: