Master Math Fundamentals

Name: Master Math Fundamentals
Rating: 4.6 (634 reviews)

Conquer your fear of Math

Created bySohael Babwani

Last updated 6/2017

English

English [Auto],

What you'll learn

Solve sums based on fractions, decimal numbers, HCF, LCM, prime factorization
Understand and Solve Real Life Problems

Course content

7 sections • 76 lectures • 8h 53m total length

Introduction to Natural Numbers4:59
Introduction to Natural Numbers. Also what are odd and even numbers.
Factors of a natural number9:35
Prime and Composite Numbers6:08
Sieve of Eratosthenes5:24
Learn how to determine which numbers are prime and which are composite using the famous sieve of Eratosthenes. Here a modified one which is much simpler is shown.
Twin prime and Co prime numbers6:20
Prime factors8:01
Learn different ways to find prime factors. Finding prime factors is fundamental to the study of mathematics.
Divisibility Tests11:56
Learn the divisibility tests of numbers like 2, 3, 4, 5, 8, 9, 10 and 11. That is to know whether a particular number is divisible by the above mentioned numbers or not.
Deriving other Divisibility Tests5:09
Here we'll learn how to derive the divisibility tests of other numbers based on our knowledge of divisibility tests.
Highest Common Factor (HCF)11:29
Introduces what is HCF and two methods to find the same are discussed.
Other methods to find HCF8:00
Two more methods to find HCF are discussed.
More practise on HCF9:55
More sums that discuss how to find HCF
Applications of HCF10:47
Where do we find HCF in our everyday life. Also discusses the geometrical interpretation of HCF.
Lowest Common Multiple (LCM)11:56
Learn the least common multiple, using listing and prime factorization, and connect to highest common factor concepts with examples like 3 and 4 and 40 and 80.
Applications of LCM10:37
Where do we find LCM in our everyday life is discussed here.
Testing your knowledge of Natural Numbers

Introduction to Negative Numbers8:13
Introduction to Integers, positive, zero and negative numbers. Where do we see negative numbers in our real life is also discussed here.
Number Line and Opposite Numbers3:38
Explore the number line from the origin, with positives on the right and negatives on the left, learn opposite numbers, and how adding opposites yields zero.
Adding and Subtracting using Number Line6:15
Learn how to add and subtract integers using a number line.
Merger of Signs1:31
Short but a very important lecture discussing the union of positive and negative signs. Will be very useful to add, subtract, multiply and divide integers.
Adding and Subtracting Integers without a Number Line4:14
Learn how to add and subtract integers with out the help of a number line using the merger of signs.
More practise on adding and subtracting of integers5:40
Multiplying Integers6:16
Learn how to multiply positive and negative numbers and learn the logic behind the rules
Dividing Integers2:11
Learn to divide Integers
Exponents3:51
Explore exponents, including base and exponent, power notation, and reading expressions like seven cubed and five to the fifth. Learn squared and cubed cases, and common alternate phrasings.
Sums based on exponents6:31
Explore how to evaluate exponents, combine powers, and determine sign outcomes for negative bases, including that even exponents yield positive results.
Order of Operations11:18
Learn BEDMAS / PEMDAS / BODMAS
Complex sums on Order of Operations5:47
Testing your knowledge with integers

Introduction to Fractions2:45
Equivalent Fractions3:09
Reducing to lowest terms8:24
Learn how to reduce a fraction to its lowest terms by repeatedly dividing the numerator and denominator by common factors until no further reduction is possible.
Proper, Improper and Mixed Fractions5:42
Learn what is Proper fraction, Improper fraction and Mixed fraction and how to convert mixed fraction to improper fraction and vice-versa.
Comparing Fractions7:20
Learn which fraction is greater and which is smaller and more importantly how and why?
Adding and Subtracting Fractions5:49
Learn to add and subtract fractions by using equal-sized pieces, such as halves, and rewrite to a common denominator to add or subtract quantities.
Three Methods to Add and Subtract Fractions9:52
Learn 3 methods to add and subtract fractions.
Multiplying Fractions4:56
Master math fundamentals teaches multiplying fractions by multiplying numerators and denominators, then simplifying to lowest terms, with practical examples showing how to compute products like 1/7 × 3/11.
Dividing Fractions7:56
Learn to divide fractions by using reciprocals, convert division into multiplication, and simplify results with proper fractions, mixed numbers, and cancellations.
Testing your knowledge of Fractions

Introduction to Decimal Numbers4:45
Explore the concept of decimal numbers, the decimal point, and place value, with examples from money and measurements showing units, tens, hundreds, and aligning digits.
Expanded form of Decimal Number7:13
Master expanding decimal numbers into their place-value components: units, tenths, and hundredths, using clear examples, and learn how trailing zeros can be ignored while preserving value.
Comparing Decimal Numbers7:12
Learn to compare decimal numbers by aligning decimals, padding zeros, and evaluating digits after the decimal to determine which value is larger or smaller.
Fractions to decimals5:36
Fractions to decimals more types and examples8:25
Learn how fractions convert to decimals through division and by multiplying numerator and denominator to reach hundreds, and understand decimal placement and repeating decimals.
Decimals to Fractions4:25
Learn to convert decimals to fractions by treating the decimal part as a numerator over a power of ten, then simplify to the lowest terms.
Representing Decimal numbers on Number Line4:57
Represent decimal numbers on a number line by subdividing intervals, zooming in to reveal digits like 67.2 and 67.28, and noting how accuracy improves with more digits.
Adding and Subtracting Decimals5:21
Master math fundamentals by learning to add and subtract decimals, align decimal points, and equalize decimal places before computing with guided examples.
Multiplying and Dividing Decimals9:51
Master multiplying and dividing decimals by clearing decimal points, multiplying as integers, and shifting the decimal to place the correct digits.
Testing your knowledge of Decimal Numbers

Introducing Percentages11:02
Convert numbers to percent using a denominator of 100, read 'out of 100' as a percent, and learn to compute percent of a value.
Percentage to Fractions and Decimals6:41
Learn how to convert percentages to fractions and decimals by rewriting over 100, dividing by 100, and shifting decimals. Examples: 75% to 0.75, 6.2% to 0.062, 12.5% to 0.125.
Finding percentage of a number6:08
Learn how to find a percentage of a number using multiplication, with examples like 10 percent of 650 dollars and converting decimals to real-life quantities.
Percentage increase or decrease9:44
Other sum types based on Percent Increase or Decrease4:29
Testing your knowledge of Percentage

Introduction to Square root5:38
Explore the concept of squaring numbers and square roots with examples like 3 squared is 9, 4 squared is 16, and 1.2 squared is 1.44, including decimal placement and sqrt(100)=10.
Table of square 1 to 307:30
Learn a trick to write down the squares of numbers from 1 to 30 and even more.
Square root by factorization method13:26
Master the square root by factorization using prime factorization, pairing identical factors, and pulling one from each pair to compute the root, with examples like 36 and 144.
Calculate squares quickly5:23
Guessing square roots12:05
Sometimes it is important to guess square roots of an unknown or big perfect square. Learn how to do the same.
Square root by division method11:16
Learn another method to find square roots. The division method. Very useful if it is difficult to find the prime factors of a number.
Introduction to Cube roots5:20
Explore the cube roots concept by evaluating examples such as the cube root of 64 equals 4 and the rule that the cube of a negative number is negative.
Cube root by factorization method7:28
Master math fundamentals presents the cube root by factorization method, grouping digits in threes and handling negatives, with examples like -216 equals -6 and 1728 equals 12.
Guessing Cube roots5:21
Sometimes it is important to guess cube roots of an unknown or big perfect cubes. Learn how to do the same.
Rational Numbers9:39
Learn what are rational numbers, why are they so called and how to identify the same.
Irrational Numbers6:35
Learn what are irrational numbers and how to identify the same.
Testing your knowledge of Square Roots and Cube Roots

Introduction to Ratios6:03
Learn how ratios compare two like quantities and cancel units to reveal profit sharing, such as 3:4 from 3000 and 4000, and 1:8 in acid to water.
Introduction to Proportion5:37
Explore how to simplify ratios to their simplest form, recognize when ratios are equal to form proportions, and solve for unknown quantities using proportional reasoning.
Example of Proportion5:57
Introduction to Profit and Loss3:59
Explore profit and loss calculations using selling price and cost price, with examples showing a $50 profit and losses when selling price is lower than cost.
What is Profit Percentage and Loss Percentage5:59
Learn what is Profit (or Loss) percentage and why knowing this percentage is important.
Calculating Profit (or Loss) Percentage4:49
Calculating the third when two are given12:06
When two out of the three (Cost price, Selling price, Profit/Loss Percentage) are given, find the third one using proportion.
Introduction to Discount5:03
Calculate discounts from the printed price by applying a percent off the list price, and determine the final selling price using examples like a $50 bag.
Examples based on Discount7:07
More examples based on Discount8:47
Master math fundamentals teaches calculating percent discounts from original prices using the discount formula, determining selling prices, and practicing with examples of price reductions and final amounts.
Introduction to Commission5:50
Examples based on Commission5:49
Learn how to compute sales commission on a house and a motorcycle using a stated percentage formula, and determine the commission and net amounts received.
More examples based on Commission6:37
Learn to solve land sale commission problems using ratio and proportion, given selling price and commission, to deduce the original price and the commission amount.
Introduction to Simple Interest7:34
Define principal, amount, and interest, and show how the rate per hundred dollars per year and the time determine the total interest.
Examples based on Simple Interest4:21
Explore simple interest through two examples: a 5000-dollar loan repaid at 6300 dollars, and a 1000-pound deposit at 5% for three years, totaling 1150.
More examples based on Simple Interest10:29
Testing your knowledge of Commercial Mathematics

Requirements

Simple Arithmetic
Knowledge of 4 operations: Addition, Subtraction, Multiplication and Division

Description

Understand and strengthen your Math Fundamentals so that you are better equipped to learn higher math.

It is observed that most students who cannot cope up with high school math and hence dislike it is because that do not have a sound understanding of the math fundamentals.
The students also have questions as to where are we going to use this? Why are we learning this? So in this course we are also going to find the answers to the above questions. It would be like re-discovering math.
This course will help you understand Algebra and Higher order math in a better way.
This course explains fractions and decimal fractions and the underlying principle that dictates the different rules and the hows and the whys of the rules.
Commercial math has also been given special preference as they are the everyday math we use and also at the same time lays the foundation of Algebra through the use of symbols, letters, variables and its substitution. These topics include Profit and Loss, Commission, Simple Interest and Discount.

So see you in the course.

Who this course is for:

Anyone who wants to pursue Algebra and higher Math
Anyone of any age who is or remained weak in Math
Who is interested in knowing why and how of the various concepts
Parents of children having trouble with pre Algebra

Master Math Fundamentals

What you'll learn

Explore related topics

Course content

Natural Numbers14 lectures • 2hr

Integers12 lectures • 1hr 5min

Fractions9 lectures • 56min

Decimal Numbers9 lectures • 58min

Percentage5 lectures • 38min

Square roots and Cube roots11 lectures • 1hr 30min

Commercial Math16 lectures • 1hr 46min

Requirements

Description

Who this course is for: