Math All-In-One (Arithmetic, Algebra, and Geometry Review)

Unlock the Power of Problem-Solving with Comprehensive Math Mastery!

Math All-In-One (Arithmetic, Algebra, and Geometry Review)

Unlock the Power of Problem-Solving with Comprehensive Math Mastery!

Unlock your mathematical potential with the Math All-In-One Course: Arithmetic, Algebra, and Geometry Review. Imagine a world where numbers no longer intimidate you, but empower you. This course is the key to mastering essential skills that will transform your academic and professional journey. Designed with your success in mind, it's not just about learning math--it's about building confidence and competence in your abilities. Whether you're preparing for exams or revitalizing forgotten skills, our holistic approach demystifies complex concepts with clarity and reinforces them through relatable, real-world applications. Join a community of learners who have discovered the art of numbers--become part of something transformative. Enroll now, and let us guide you in turning uncertainty into mastery, stepping boldly into a future enriched by mathematical insight.

Self Paced • Online Class • Accredited CEUs

$170

4.2 ★ ★ ★ ★ ★

"Extraordinarily Helpful"

2,173 Students have taken this course

Add to Cart

OVERVIEW

CURRICULUM

Math All-In-One (Arithmetic, Algebra, and Geometry Review)

Name: Math All-In-One (Arithmetic, Algebra, and Geometry Review)
Price: 95.00 USD

CRN: 7550574

Lesson 1. Journey Through Numbers: Building the Foundation

Geometry unveils the spatial beauty of shapes, sizes, and volumes, with applications in art, architecture, and beyond. By understanding angles, transformations, and symmetry, one grasps concepts crucial for designing and interpreting the physical world.

Lesson 2. Addition Deconstructed: A Deep Dive into Concepts and Applications

Memorizing addition facts via tables can enhance mathematical speed and efficiency, with digital adaptations making learning more interactive and engaging through games.

Lesson 3. Advanced Techniques for Mastering Subtraction

Borrowing in subtraction, akin to regrouping values, addresses challenges when subtrahend digits exceed minuend figures. This technique is pivotal in scenarios like financial planning or project management, where borrowing supports accurate, timely subtraction from dynamic figures.

Lesson 4. Mastering Multiplication: Your Mathematical Compass

Factors are the numbers multiplied in an equation, just like the rows and seats in a concert hall determine seating capacity. By understanding their roles, like in production line calculations, multiplication helps quantify and organize efficiently.

Lesson 5. Division: The Inverse of Multiplication and Key Terminology

Division, the opposite of multiplication, involves evenly splitting quantities, as seen in dividing 12 dogs into 3 groups, resulting in 4 dogs per group. Its real-world utility shines through in scenarios like sharing pizza slices equally among friends.

Lesson 6. The Balancing Act: Positive and Negative Numbers Explored

Diving into the mysteries of positive and negative numbers, this lesson opens the door to comprehending arithmetic operations, vital for daily applications ranging from measuring depth to financial calculations. Mastering these concepts signifies more than just solving numerical challenges; it's about embracing a universal language of mathematics that breathes life into complexities worldwide.

Lesson 7. Discovering the Foundations of Mathematical Thought

Basic axioms like the additive and multiplicative principles ensure equality is maintained through arithmetic operations, much akin to balancing scales or having parallel systems function uniformly. These axioms underpin consistency and integrity, vital for calculations spanning both everyday activities and complex scenarios.

Lesson 8. Unlocking the Secrets of Fractions: Simplification, Operations, and Real-World Applications

Learning to simplify fractions through the greatest common factor allows for clearer calculations, much like refining a chocolate bar share from 4/8 to 1/2. This process of simplification involves understanding relatable experiences, such as equitable car parking distribution.

Lesson 9. Decimals: Building Blocks of Modern Arithmetic

Mastering decimal operations transforms everyday applications from dividing budgets to adjusting measurements, ensuring clear and precise calculations. Through repeated practice, activities like interest calculation and structural engineering demonstrate how integrating decimals influences various fields each day.

Lesson 10. The Power of Percents: Navigating Finance and Retail

Financial literacy is enhanced by understanding the implications of percents in calculating salaries, performance commissions, and investment returns, key aspects that direct one's approach to income evolution and savings growth over time. This emphasizes the importance of financial strategies when planning for the future.

Lesson 11. Simplifying Numbers with Rounding and Significant Figures

Mastering rounding involves understanding which numbers to adjust for clarity, such as simplifying $7.497 to $7.50 in financial transactions. Significant figures help us measure and communicate data reliability, crucial for precise scientific work.

Lesson 12. Unleashing the Power of Calculators for Numerical Fluency

The evolution of calculators from large machines to integrated smartphone apps highlights their indispensable role in daily life, emphasizing sustainability through features like solar power. They enhance problem-solving by offering basic operations and advanced functions such as memory correction, enabling accurate and efficient numerical solutions.

Lesson 13. The Heart of Algebra: Discovering Numbers and Concepts

Algebraic symbols like variables and operators create a framework for solving equations that represent real-life situations. By translating words into algebraic expressions, learners develop a deeper understanding of patterns and problem-solving strategies.

Lesson 14. Equations Unveiled: Their Properties and Principles

Harnessing the properties and principles of equations aids in simplifying complex mathematical problems and enhances analytical thinking; these concepts are crucial for real-world applications in programming and economics. Grasping the closure concept, recognizing identity elements, and understanding axioms and properties like commutativity are pivotal for mathematical mastery.

Lesson 15. The Impact of Directed Numbers: From Ancient Merchants to Quantum Mechanics

This lesson delves into the crucial role of directed numbers in algebra, illustrating their historical significance and real-life applications like temperature measurement and financial accounting. Through understanding and manipulating directed numbers, learners gain insights into the enigmatic yet omnipresent nature of negative values in mathematical operations.

Lesson 16. Exploring Algebra's Role in Real-Life Problem Solving

The systemic seven-step problem-solving approach in algebra emphasizes creativity and analytical prowess, facilitating translation from real-world problems to algebraic equations. This methodology ensures accuracy and insight, encouraging learners to visualize, construct, solve, and validate mathematical interpretations.

Lesson 17. Unveiling the Magic of Exponents and Roots

Arithmetic operations with exponents follow specific rules: adding like bases, multiplying exponents, and simplifying expressions with roots. These operations extend numeracy beyond calculation into diverse applications like astronomy and engineering, demonstrating exponential growth's relevance.

Lesson 18: Understanding Polynomials

Lesson 19. Fractions: A Comprehensive Exploration

Fractions serve as a bridge between whole numbers and continuous values, enabling the representation of portions of a whole. Understanding numerators and denominators is crucial for categorizing fractions into proper, improper, and mixed numbers and for performing operations like addition, subtraction, multiplication, and division.

Lesson 20. Mastering Factoring in Algebra

The lesson delves into the critical role of common factors in simplifying fractions and algebraic expressions, emphasizing prime numbers as the fundamental building blocks for factorization. It illustrates procedures for finding greatest common factors, using the distributive property, and employing polynomial grouping, leading to a more profound understanding of algebraic structures.

Lesson 21. Factoring in Algebra: Beyond the Basics

Unlock the potential of algebraic factoring by exploring its historical roots and interdisciplinary applications, linking concepts to fields like engineering and physics. As students journey through quadratic equations and polynomial analysis, they enrich their mathematical understanding, drawing parallels to real-life problem-solving scenarios.

Lesson 22. Exploring Linear Equations: The Backbone of Relationships

Linear equations reveal the fundamental relationship between variables, with the slope-intercept form $y = ax + b$ serving as a visual blueprint for understanding their behavior on a graph. Through practical examples like calculating revenue or evaluating costs, they illuminate these mathematical relationships' real-world implications.

Lesson 23. Exploring Linear Systems: From Concepts to Practical Applications

The substitution method simplifies solving linear systems by isolating a variable and replacing it in another equation, leading to straightforward answers while verifying calculations. Applying this in real scenarios, like ticket sales, highlights its effectiveness and clarity in achieving balanced equations.

Lesson 24. Quadratic Solutions: Techniques and Insights

Quadratic equations are central to algebra, represented by $ ax^2 + bx + c = 0 $, with solutions determined by various methods like factoring, square roots, and the quadratic formula. Understanding and solving these equations open doors to comprehending deeper mathematical principles and real-world applications such as physics and economics.

Lesson 25. The Intricate Universe of Geometry: Understanding Shapes and Spaces

Delving into geometry, this lesson reveals its vital role in engineering, design, and nature, where geometric principles govern everything from MRI machines to honeycomb structures. By understanding basic constructs like lines and planes, learners unlock the ability to design, innovate, and navigate complex spatial challenges.

In This Course

95 Hours average completion time
9.5 CEUs
39 Lessons
44 Exams & Assignments
38 Videos
136 Reference Files
Mobile Friendly
Last Updated February 2024

Description

The All-In-One Mathematics Mastery Course

Have you ever found yourself stuck in a situation where you felt the need to revisit foundational math concepts? Perhaps you're heading into a college program and want to refresh your memory, or maybe you're an adult seeking clarity on subjects that have grown rusty over time. Whether you're preparing for an exam, beginning a college journey, or simply cultivating a passion for numbers, our All-In-One Mathematics Mastery Course is tailored to bridge gaps and enhance understanding.

Course Overview:

This comprehensive self-paced course unravels the intricacies of arithmetic, algebra, and geometry. Designed as an accelerated yet thorough exploration of core mathematical concepts, the course aims to provide learners with tools and techniques to navigate math problems efficiently.

Arithmetic: Dive into the fascinating world of numbers, symbols, and operations. Begin by understanding basic terminologies and gradually proceed to tackle fractions, percentages, and decimals. With practical applications and real-world examples, you'll gain confidence in manipulating and interpreting numerical data.

Algebra: Delve into the realm of equations and inequalities. Uncover methods to solve word problems, and explore the wonders of simplifying and factoring numbers. By the end of the algebraic segment, students will be equipped to handle linear equations, polynomials, and even quadratic solutions with ease.

Geometry: Geometry isn't just about shapes; it's about understanding spatial relationships and patterns. Familiarize yourself with geometric concepts and delve deep into congruence, similarity, and the legendary Pythagorean Theorem. Through visual aids and interactive exercises, geometry will transition from being daunting to delightful.

Why Enroll?

Diverse Content: From arithmetic operations like addition and subtraction to the complexities of algebraic equations and the artistic beauty of geometry, this course covers it all.
Engaging Materials: Each lesson comes packed with assignments, exams, netlinks, polls, surveys, and documents, ensuring a varied and engaging learning experience. For instance, in "Arithmetic Lesson 2 - Addition," students not only learn the basic principles but are also provided with six supplementary documents for an in-depth understanding.
Real-world Applications: Ever wondered why understanding decimals is important? How about the practicality of the Pythagorean Theorem? Our course not only introduces concepts but also emphasizes their application in daily life.
Ideal for Exams: Whether you're gearing up for high school tests or college entrance exams, this course serves as an excellent resource, ensuring that foundational concepts are rock solid.

Course Layout:

The course is meticulously structured into a series of lessons, starting from basics and progressively touching upon advanced topics. Each lesson is meticulously crafted, providing detailed explanations, examples, and exercises to ensure concept clarity. For instance, in "Arithmetic Lesson 4 - Multiplication," learners won't just memorize tables; they'll understand the underlying principle that governs this operation.

Similarly, "Geometry Lesson 28" unravels the properties of triangles, introducing learners to the diverse world of scalene, isosceles, and equilateral triangles, offering insights into their properties and importance.

Final Thoughts:

Mathematics is not just about numbers; it's a language, a tool, and an art. This All-In-One Mathematics Mastery Course invites learners from all walks of life to discover or rediscover the joy of math. Whether you're a student, a professional, or a lifelong learner, this course is your ticket to unraveling the magic of mathematics. Dive in, explore, and let numbers tell you their story.

Skills You'll Develop

Understanding spatial relationships and patterns
Engaging logical and critical reasoning
Applying mathematical concepts in real-life scenarios
Strengthening analytical thinking skills
Building problem-solving strategies
Mastering foundational math operations
Numerical data interpretation
Solving complex equations with ease
Visualizing mathematical principles

Skills You'll Develop

Understanding spatial relationships and patterns
Engaging logical and critical reasoning
Applying mathematical concepts in real-life scenarios
Strengthening analytical thinking skills
Building problem-solving strategies
Mastering foundational math operations
Numerical data interpretation
Solving complex equations with ease
Visualizing mathematical principles

More About This Course

Elevate Mathematical Understanding: Gain clarity on foundational math concepts.
Interactive Geometry Exercises: Use visual aids to simplify complex concepts.
Learn Through Practical Insights: Discover math's role in finance and engineering.
Comprehensive Resource: Cover addition to advanced algebraic equations.
Prepare for Exams with Confidence: Solidify key math foundations for tests.
Self-Paced Learning: Tailor your journey in arithmetic, algebra, and geometry.
Master Arithmetic Operations: Learn addition, subtraction, and more with ease.
Real-World Math Applications: Relate math concepts to everyday scenarios.
Algebra Problem Solving: Grasp equations and tackle algebraic word problems.
Explore Geometry's Beauty: Understand spatial relationships and shapes.
Engaging Course Materials: Interactive lessons with diverse assignments.

What You'll Achieve

Identify and describe the concept of one-to-one correspondence and its importance in understanding the number line and integers.
Demonstrate the ability to classify different types of numbers, including integers, fractions, decimals, rational, and irrational numbers, by providing examples and explanations.
Recognize and define key terms associated with addition, such as addend and sum, and their roles in the addition process.
Demonstrate the ability to use a number line to visually represent and solve basic addition problems by correctly identifying positions and movement.
Demonstrate the ability to solve word problems involving subtraction by accurately identifying the minuend, subtrahend, and calculating the difference within real-life contexts.
Apply advanced subtraction techniques, such as borrowing, to calculate differences between multi-digit numbers accurately, ensuring precision in both academic and practical scenarios.
Identify and apply multiplication strategies to solve real-world problems involving grouping objects and calculating totals efficiently
Demonstrate understanding of the components of multiplication equations, including factors, multipliers, multiplicands, and products, using practical examples
Recognize and correctly apply division terminology, including dividend, divisor, quotient, and remainder, in solving division problems.
Demonstrate the ability to divide multi-digit numbers using long division and provide accurate solutions involving remainders when applicable.
Define the concept of absolute value and calculate the absolute value of both positive and negative integers.
Demonstrate the process of adding positive and negative integers correctly, using real-life examples to explain the outcomes.
Demonstrate an understanding of number closure in mathematics by correctly identifying operations under which whole numbers and integers remain closed.

Discover More Skills Like These

Homeschooling

Start Learning Today!

Choose from plans starting at just $16/month (billed annually)

What Others Are Saying

"Extraordinarily Helpful"

★★★★★

Wow, this class really made me use my brain. It also made me realize that watching the lesson videos in a math class is super important because just reading the material and not seeing examples is not very easy. Thanks for the refresher.

Stephanie A.

"Extraordinarily Helpful"

★★★★★

I thought this was a very helpful course and I enjoyed relearning things and learning things I didn't quite get the first time. Thank you for this course I appreciate this.

Josh B.

"Extraordinarily Helpful"

★★★★★

I felt like it was extremely helpful and exactly what I was looking for. The lessons were great and the option to spend time doing worksheets on anything I needed extra help with was perfect. Sometimes just the lesson alone was enough and sometimes I needed the confidence of working some of the practice problems, I liked that I had the options.

Heather P.

"Extraordinarily Helpful"

★★★★★

Great course, great fun!

John W.

Related Courses