Welcome to this Mathematics Grade 8 course, module 1 of 5 on Numbers, Operations & Relationships.
The aim of this course is for it to be taught in a 21st century mindset. The course is actually fun, it uses technology, the internet and general knowledge to better equip a student for real life applications.
This course is intended for absolutely age 12-14 years old whom already has a foundation phase understanding in Mathematics. This course is also suitable for any end of middle-school to start of High School (US) or Grade 7-9 (UK) teachers who want to improve upon classroom teaching methods.
This course is packed with 7+ hours of video content encouraging students to answer questions throughout the videos. There are 5 modules in total, this is module 1.
1. Numbers, Operations & Relationships.
2. Patterns, Functions & Algebra.
3. Space and Shape.
5. Data Handling.
The course has been broken into 5 modules to i) allow students to only enroll in what sections they are struggling with, ii) save the parent or student cost as each module is the price of a tutoring lesson and lastly, iii) to encourage students to break goals into bite-sized chunks. There is 16+ hours of video in all five modules.
This course is intended to be a resource to help students throughout the year, it can be completed slowly and referred to throughout your year of study. The course has been broken down into the following sub-sections, each containing their own set of videos:
In this video we are going to get right into Whole Numbers, by dealing first with the number system and then dealing with how to divide by zero and one.
This video will show a student how to add in columns, this is a common, logical, way to be taught when adding large numbers.
In the previous video we learnt to add in columns, now we will subtract in columns, we will learn how to borrow 10s, 100s. 1000s etc,...
Another important tool to learn, keeping with whole numbers, is how to multiply in columns, this method can substitute a calculator and is useful throughout life.
As important as multiplication is, this video deals with long division and teachers a student through examples how to apply long division.
This video will deal with what number factors are and practice some examples.
Moving on from number factors, this video deals with number multiples and how to find multiples of a number.
This video describes and works through examples of composite numbers. We will look at what makes a number composite or not.
Prime Numbers! This video dives into the interesting world of prime numbers as well as gives in detail examples for students to practice.
This video will deal with how to find the Highest Common Factors of numbers.
In this video we are going to find the Lowest Common Factors of Numbers
We are now getting into exponents, this video will talk about how to represent some normal number in exponential form.
This video will deal with how to represent a number in scientific notaiton.
In this video we are going to deal with the Power of Zero Law in exponents.
In this video the student will look into how to apply the multiplication rule to exponents.
This video will deal with the exponential division law.
This video will deal with the last main exponetial law and that is the power law.
In this video we are going to find square roots of exponents.
In this video we are going to find cube roots of exponents.
In this video you will learn how to apply all four of the main exponent laws to a single question.
Integers are the foundation of the number line this video will show you how to ensure you are ordering and comparing your integers correctly.
This video will reinforce how to add and subtract integers.
This video will teach a student through examples how to multiply with integers, now we have negatives!
This video will teach students how to divide using integers.
This video bring everything together by show how multiple operations can be performed at once.
Fractions, Common Fractions and Mixed numbers are an important character on the number line it is important to be able to simplify these numbers to get a better understanding of what they represent, this video teaches just that.
Fractions are simply a way to represent numbers, they can be common fractions or mixed numbers, this video will show you how to convert between the two.
This video will show you the correct way to add and subtract common fractions, including mixed numbers.
This video will show you the correct way to multiply and divide common fractions, including mixed numbers.
This video will show you how similar it is to find square and cube roots as it was to whole numbers.
This video will teach a student using examples how to find percentages of whole numbers.
This video will teach students how to increase or decrease a number by a given percentage.
This video will help a student get a practical understanding of Common Fractions through Word Problems.
Decimals are simply a way to represent a number, they still fit of the number line it is important to understand where and how. This video will order and compare decimals.
A decimal is simply another way of representing a number this video will show the equivalent forms of decimals.
Rounding off decimals must be done carefully, this video will describe all the different ways that decimals can be rounded off.
This video describes through examples the correct way to add and subtract decimals.
This video will teach a student how to multiply decimal fractions.
This video will show how to divide decimal fractions by whole numbers.
This video will show how to divide decimal fractions
This video will find the square and cube roots of decimal fractions.
In this video we are going to deal with how to compare quantities of the same kind, or same ratio.
In this video we are going to deal with how to compare quantities of different kinds (Rate).
In this video we are going to look at how to share a given ration.
In this video we are going to look at the effects of increasing or decreasing a ratio.
Financial maths is n extremely important and practical part of mathematics, this video will teach a student the most fundamental concepts regarding Profit and Loss.
This video will teach a student about how to apply discount and VAT and what it all means.
This video describes simple interests to help students get an understanding of the concept.
This video will take students through the important analysis on how to do Hire Purchase type questions
This video will describe how Loans work and do practical examples to help students better understand the concept.
This fun video will deal with exchange rates and help a student get a good understanding of how global economies interact.
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