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11 Days Math Challenge

Master Basics of Mathematics

Jackson Kailath

“Even the most motivated and intelligent student will advance more quickly under the tutelage of someone who knows the best order in which to learn things, who understands and can demonstrate the proper way to perform various skills, who can provide useful feedback, and who can devise practice activities designed to overcome particular weaknesses.”

― Anders Ericsson, Peak: Secrets from the New Science of Expertise

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“Even the most motivated and intelligent student will advance more quickly under the tutelage of someone who knows the best order in which to learn things, who understands and can demonstrate the proper way to perform various skills, who can provide useful feedback, and who can devise practice activities designed to overcome particular weaknesses.”

― Anders Ericsson, Peak: Secrets from the New Science of Expertise

Do you face difficulties in your math skills? Are you having difficulties with math basics such as fractions, factors ? Is this hindering you from achieving your goal ? This course will help you overcome these difficulties.

This course aims at building a solid understanding of Math fundamentals in an easy and fun way. Each video is designed to build upon previous lectures to help you understand basic math and prepare you to achieve your goals. The road map diagrams will help you understand the path you are taking. We also frequently revise what we have learned before so that you develop interlinkages between concepts.

Topics covered:

  • Knowing our Numbers

  • Whole Numbers

  • Factors / Multiples / Primes / HCF / LCM

  • Integers

  • Fractions and Decimals

  • Exponents

  • Squares and Square roots

  • Cubes and Cube roots

  • Rational and Irrational Numbers

YOU'

Let's make your Math dreams come true

- Jackson

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What's inside

Syllabus

Day 1 - Knowing our Numbers
Best Study Technique
Comparing Numbers
Make the Greatest or Smallest number with a set of digits
Read more
Ascending and Descending order of numbers
Ten thousand, Lakh and Crore
Reading large numbers
Metrics - Length, Weight, Quantity
Estimation
Using Brackets
Roman numerals
Face value and Place value
Expanded Form of a Number
BODMAS
Quiz 1 - Knowing our Numbers Part 1
Quiz - Knowing our Numbers Part 2
Quiz - Knowing our Numbers Part 3
Quiz - Face Value / Place Value / BODMAS
Day 2 : Whole Numbers + Introduction to Factors and Multiples
Natural numbers and whole numbers
“+ - x / on the Number line
Dividing with 0
Properties of whole numbers
Distributivity of multiplication over addition
Identity for addition and multiplication
Patterns in whole numbers
Quiz - Whole Numbers
Factors
Multiples
Perfect Numbers
Prime and Composite Numbers
Even and Odd Numbers
Divisibility Tests
Day 3: Prime factorisation / HCF / LCM
Common factors and multiples
Prime factorisation
HCF / GCD
LCM
Problems: HCF & LCM
Quiz - Playing with Numbers 1
Quiz - Playing with Numbers 2
Quiz - Playing with Numbers 3
Quiz - Playing with Numbers 4
Day 4: Integers - Positive and Negative Numbers
Negative Numbers
Integers on a Numberline
2 Rules for Addition and Subtraction of Integers
Number line: Addition and Subtraction
Another way: Addition and Subtraction
Practice Problems
Revise - Integers
Revise - Addition and Subtraction
Properties of addition and subtraction
Additive identity
Multiplication of Integers
Division of Integers
Properties of Multiplication and Division
Some more properties of multiplication
Some more properties of Division
Quiz - Integers 1
Quiz - Integers 2
Quiz - Integers 3
Quiz - Integers 4
Quiz - Integers 5
Quiz - Integers 6
Day 5: Fractions and Decimals
Fractions 1
Fractions 2
Fractions 3
Decimals 1
Decimals 2
Decimals 3
Day 6: Fractions and Decimals continued
Fractions and Decimals Continued 1
Fractions and Decimals Continued 2
Fractions and Decimals Continued 3
Day 7: Exponents
Exponents 1
Exponents 2
Exponents 3
Exponents 4
Exponents 5
Day 8: Squares and Square Roots
Squares and Square roots 1
Squares and Square roots 2
Squares and Square roots 3
Squares and Square roots 4
Squares and Square roots 5
Squares and Square roots 6
Day 9: Cubes and Cube Roots
Cubes and Cube roots 1
Cubes and Cube roots 2
Day 10: Rational Numbers
Rational Numbers Part 1
Rational Numbers Part 2
Rational Numbers part 3
Rational Numbers 4
Rational Numbers 5
Rational Numbers 6
Day 11: Irrational Numbers and Rational Numbers

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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 11 Days Math Challenge : Master Basics of Mathematics with these activities:
Review Divisibility Rules
Reinforce your understanding of divisibility rules to improve your speed and accuracy when working with factors, multiples, and prime factorization.
Show steps
  • Review the divisibility rules for 2, 3, 4, 5, 6, 9, and 10.
  • Practice applying these rules to various numbers.
Review 'Math Doesn't Suck'
Gain a more intuitive and engaging understanding of basic math concepts to build confidence and improve performance in the course.
View I Love You 100: A Counting Book Full of Love on Amazon
Show steps
  • Read the book, focusing on chapters related to the course topics.
  • Work through the examples and practice problems.
  • Reflect on how the book's approach helps you understand the material.
Review 'Mathematics: A Very Short Introduction'
Gain a broader perspective on mathematics and its applications to better understand the fundamental concepts covered in the course.
View Mathematics: A Very Short Introduction on Amazon
Show steps
  • Read the book, focusing on chapters related to number theory and arithmetic.
  • Take notes on key concepts and ideas.
  • Reflect on how these concepts relate to the course material.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Practice Prime Factorization
Improve your ability to quickly find the prime factorization of numbers, which is essential for understanding HCF and LCM.
Show steps
  • Choose a set of numbers to factorize.
  • Use a factor tree or division method to find the prime factors.
  • Check your answers using an online calculator.
Create a Math Cheat Sheet
Compile a cheat sheet of important formulas, rules, and definitions covered in the course for quick reference and review.
Show steps
  • Gather all the key concepts and formulas from each module.
  • Organize the information logically and concisely.
  • Design the cheat sheet for easy readability.
Build a Number System Converter
Apply your knowledge of number systems (integers, rational numbers, etc.) to create a tool that converts numbers between different bases (e.g., decimal, binary, Roman numerals).
Show steps
  • Choose a programming language or tool for development.
  • Design the user interface and conversion logic.
  • Implement the conversion algorithms.
  • Test the converter with various inputs.
Tutor a Peer in Math Fundamentals
Solidify your understanding of math fundamentals by tutoring a peer who is struggling with the material. Explaining concepts to others reinforces your own knowledge.
Show steps
  • Find a peer who needs help with math fundamentals.
  • Schedule regular tutoring sessions.
  • Prepare explanations and examples for each topic.
  • Provide constructive feedback and encouragement.

Career center

Learners who complete 11 Days Math Challenge : Master Basics of Mathematics will develop knowledge and skills that may be useful to these careers:
Math Tutor
As a Math Tutor, you will provide instruction and support to students who need help with their math skills. This course, with its focus on building a solid understanding of math fundamentals, may set you up for success. The course covers topics such as fractions, factors, exponents, squares, and roots. A Math Tutor will be better prepared to teach these concepts to students of all ages by mastering them through this course. You may find the modules on whole numbers, integers, and decimals to be particularly helpful in refreshing your knowledge and preparing you to offer clear and effective explanations.
See salaries and explore the career path for Math Tutor
Elementary School Teacher
An Elementary School Teacher is responsible for educating young students in a variety of subjects, including mathematics. This course, which aims at building a solid understanding of math fundamentals, may be extremely beneficial. The course includes modules on key topics such as understanding numbers, working with whole numbers, and mastering fractions and decimals. An Elementary School Teacher will gain confidence in their abilities to teach math concepts effectively as they reinforce these basics. They will also find the sections on exponents and square roots highly useful for preparing lessons and activities.
See salaries and explore the career path for Elementary School Teacher
Math Teacher
A math teacher instructs students in mathematical principles. To excel as a math teacher, one must have command over math basics. This course, with modules on whole numbers, integers, fractions, and decimals, provides a refresher, which may provide the clarity needed to teach effectively. The course goes over prime factorization, highest common factors, and lowest common multiples. A math teacher can use this course to enhance their own understanding. This enhancement can improve their teaching ability.
See salaries and explore the career path for Math Teacher
Curriculum Developer
A curriculum developer designs and creates educational materials, often specializing in a particular subject area like mathematics. This course may be valuable as it aims to build a solid understanding of math fundamentals. By taking this course, a curriculum developer gains a deeper insight into the building blocks of mathematics, enabling them to develop more effective and engaging learning experiences. The course’s coverage of topics like factors, multiples, primes, HCF, LCM, and exponents will be directly applicable to creating well-structured and comprehensive math curricula.
See salaries and explore the career path for Curriculum Developer
Test Preparation Instructor
A test preparation instructor helps students prepare for standardized tests, such as the SAT or GRE, which often include significant math sections. Because it aims at establishing math fundamentals clearly and concisely, this course will be quite helpful. The course will improve your own understanding of the underlying math concepts on which standardized tests are based since the course covers a wide array of math topics, including numbers, integers, fractions, exponents, square roots, and rational and irrational numbers. As you explain these concepts to students, your comprehension will be of great benefit.
See salaries and explore the career path for Test Preparation Instructor
Financial Analyst
A Financial Analyst analyzes financial data, prepares reports, and provides investment recommendations, all of which require a solid understanding of mathematical principles. While this role involves more advanced math, a strong foundation is crucial. This course, which builds math fundamentals such as fractions, decimals, exponents, and roots, gives a strong base for the more sophisticated mathematics used later. Even if you're already experienced, a refresher on these basics may be useful.
See salaries and explore the career path for Financial Analyst
Accountant
Accountants are responsible for preparing and analyzing financial records, ensuring accuracy and compliance. This course, which reinforces math fundamentals, may be useful for aspiring accountants. Since they handle numbers on a daily basis, a strong foundation in mathematics is essential for them. The course covers topics such as fractions, decimals, and percentages–all integral to accounting practices. This course will help provide a solid foundation on which accounting skills are built.
See salaries and explore the career path for Accountant
Data Analyst
Data analysts interpret and analyze data to identify trends, patterns, and insights that can inform business decisions. While data analysis involves statistical techniques, a solid understanding of basic mathematical principles is helpful. This course may build a strong foundation in math fundamentals such as numbers, fractions, decimals, and exponents. These skills are helpful for understanding the underlying mathematics behind data analysis techniques and for interpreting results accurately. Data analysts employ logical thinking.
See salaries and explore the career path for Data Analyst
Software Developer
Software developers create and maintain software applications. While coding is the primary skill, a foundational understanding of mathematics can be beneficial, particularly when working on algorithms or data-intensive applications. This course, which reviews math fundamentals like numbers, integers, and basic operations, may be valuable. A software developer may use these concepts to grasp complex algorithms. Having a strong mathematical foundation may help a Software Developer understand the logic behind the solutions.
See salaries and explore the career path for Software Developer
Project Manager
Project Managers oversee projects from initiation to completion, managing resources, timelines, and budgets. While not always directly related to mathematics, being comfortable working with numbers and data is essential. This course, which covers math fundamentals like numbers, fractions, and decimals, may be helpful. A Project Manager reviews budgets, timelines, and resource allocation. A familiarity with mathematical concepts may aid in making informed decisions and managing financial aspects of projects effectively.
See salaries and explore the career path for Project Manager
Market Research Analyst
Market Research Analysts study market conditions to examine potential sales of a product or service. Market research involves the collection and analysis of data, which often requires basic math skills. This course may be useful as it covers fundamental math concepts like numbers, percentages, and basic statistics. These skills could help a Market Research Analyst in interpreting survey data, calculating market sizes, and drawing meaningful conclusions from research findings. They also employ mathematical ideas in interpreting market trends.
See salaries and explore the career path for Market Research Analyst
Technical Writer
Technical Writers create documents such as instruction manuals, how-to guides, journal articles, and other supporting documents to communicate complex and technical information more easily. Math is not the focus of technical writing, in general. However, a sound math foundation may assist in writing about math topics. This course, which covers building math fundamentals, may be useful. Being able to revisit fractions, decimals, exponents, and roots may assist a Technical Writer when writing about these topics.
See salaries and explore the career path for Technical Writer
Statistician
Statisticians collect, analyze, and interpret numerical data to identify trends and relationships, often requiring advanced mathematical knowledge. While this role usually requires an advanced degree, a strong grasp of math fundamentals is essential. Although this course may not cover advanced statistical methods, the course's review of basic concepts like numbers, fractions, and exponents can build a foundation for more complex topics. This course can serve as a refresher before undertaking more advanced statistics coursework.
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Business Analyst
Business Analysts analyze an organization's processes and systems to identify areas for improvement. While not always directly focused on mathematics, a comfort level with numbers and data analysis is beneficial. While more advanced mathematical knowledge is more often used, a solid foundation is still helpful. This course covers math fundamentals such as numbers, fractions, and percentages. This course may help a Business Analyst understand data, interpret reports, and make data-driven recommendations.
See salaries and explore the career path for Business Analyst
Actuary
Actuaries assess and manage financial risks, particularly in the insurance and finance industries, requiring advanced mathematical and statistical skills. This work typically requires an advanced degree. A strong understanding of math fundamentals is necessary before diving into more specialized actuarial science topics. Although this course may not cover advanced actuarial methods, it may provide a solid base by reviewing basic concepts like numbers, fractions, exponents, and roots. An Actuary relies on foundational math concepts.
See salaries and explore the career path for Actuary

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 11 Days Math Challenge : Master Basics of Mathematics.
Cover image
I Love You 100: A Counting Book Full of Love
Save
Is designed to make math more accessible and engaging, particularly for those who struggle with the subject. It covers many of the fundamental concepts taught in the course, such as fractions, decimals, and basic algebra, in a fun and relatable way. It is especially helpful for students who need a confidence boost and a more intuitive understanding of math. This book is best used as additional reading to supplement the course material.
I Love You 100: A Counting Book Full of Love
Paperback
Check
I Love You 100: A Counting Book Full of Love
Kindle Edition
Check
Cover image
Mathematics: A Very Short Introduction
Save
Provides a broad overview of mathematical concepts, including many covered in the course. It offers a conceptual understanding of mathematics, which can be helpful for students struggling with the fundamentals. While not a direct textbook for the course, it serves as excellent supplementary reading to broaden one's perspective. It is particularly useful for understanding the 'why' behind the 'how' of mathematical operations.
Mathematics: A Very Short Introduction
Paperback
Check
Mathematics: A Very Short Introduction
Kindle Edition
Check

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Effort
19.5 total hours
Via
Udemy
Instructor
Jackson Kailath
Language
English
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