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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.
4. Measurement.
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:
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Section 1: Introduction | |||
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Lecture 1 | 03:59 | ||
In this video you will meet your instructor and get an introduction to this course. |
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Section 2: Whole Numbers | |||
Lecture 2 | 05:16 | ||
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. |
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Lecture 3 | 07:03 | ||
This video will show a student how to add in columns, this is a common, logical, way to be taught when adding large numbers. |
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Lecture 4 | 08:16 | ||
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,... |
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Lecture 5 | 18:08 | ||
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. |
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Lecture 6 | 09:03 | ||
As important as multiplication is, this video deals with long division and teachers a student through examples how to apply long division. |
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Lecture 7 | 07:16 | ||
This video will deal with what number factors are and practice some examples. |
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Lecture 8 | 04:12 | ||
Moving on from number factors, this video deals with number multiples and how to find multiples of a number. |
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Lecture 9 | 05:36 | ||
This video describes and works through examples of composite numbers. We will look at what makes a number composite or not. |
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Lecture 10 | 09:05 | ||
Prime Numbers! This video dives into the interesting world of prime numbers as well as gives in detail examples for students to practice. |
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Lecture 11 | 05:46 | ||
This video will deal with how to find the Highest Common Factors of numbers. |
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Lecture 12 | 04:30 | ||
In this video we are going to find the Lowest Common Factors of Numbers |
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Section 3: Exponents | |||
Lecture 13 | 09:43 | ||
We are now getting into exponents, this video will talk about how to represent some normal number in exponential form. |
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Lecture 14 | 07:41 | ||
This video will deal with how to represent a number in scientific notaiton. |
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Lecture 15 | 05:00 | ||
In this video we are going to deal with the Power of Zero Law in exponents. |
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Lecture 16 | 06:23 | ||
In this video the student will look into how to apply the multiplication rule to exponents. |
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Lecture 17 | 06:13 | ||
This video will deal with the exponential division law. |
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Lecture 18 | 08:24 | ||
This video will deal with the last main exponetial law and that is the power law. |
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Lecture 19 | 10:19 | ||
In this video we are going to find square roots of exponents. |
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Lecture 20 | 07:18 | ||
In this video we are going to find cube roots of exponents. |
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Lecture 21 | 11:19 | ||
In this video you will learn how to apply all four of the main exponent laws to a single question. |
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Section 4: Integers | |||
Lecture 22 | 07:13 | ||
Integers are the foundation of the number line this video will show you how to ensure you are ordering and comparing your integers correctly. |
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Lecture 23 | 11:38 | ||
This video will reinforce how to add and subtract integers. |
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Lecture 24 | 05:59 | ||
This video will teach a student through examples how to multiply with integers, now we have negatives! |
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Lecture 25 | 06:35 | ||
This video will teach students how to divide using integers. |
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Lecture 26 | 09:50 | ||
This video bring everything together by show how multiple operations can be performed at once. |
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Section 5: Common Fractions | |||
Lecture 27 | 12:54 | ||
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. |
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Lecture 28 | 03:59 | ||
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. |
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Lecture 29 | 11:58 | ||
This video will show you the correct way to add and subtract common fractions, including mixed numbers. |
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Lecture 30 | 13:28 | ||
This video will show you the correct way to multiply and divide common fractions, including mixed numbers. |
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Lecture 31 | 07:10 | ||
This video will show you how similar it is to find square and cube roots as it was to whole numbers. |
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Lecture 32 | 05:25 | ||
This video will teach a student using examples how to find percentages of whole numbers. |
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Lecture 33 | 09:58 | ||
This video will teach students how to increase or decrease a number by a given percentage. |
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Lecture 34 | 12:24 | ||
This video will help a student get a practical understanding of Common Fractions through Word Problems. |
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Section 6: Decimal Fractions | |||
Lecture 35 | 13:44 | ||
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. |
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Lecture 36 | 06:53 | ||
A decimal is simply another way of representing a number this video will show the equivalent forms of decimals. |
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Lecture 37 | 11:21 | ||
Rounding off decimals must be done carefully, this video will describe all the different ways that decimals can be rounded off. |
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Lecture 38 | 09:30 | ||
This video describes through examples the correct way to add and subtract decimals. |
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Lecture 39 | 09:22 | ||
This video will teach a student how to multiply decimal fractions. |
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Lecture 40 | 04:55 | ||
This video will show how to divide decimal fractions by whole numbers. |
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Lecture 41 | 08:32 | ||
This video will show how to divide decimal fractions |
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Lecture 42 | 08:22 | ||
This video will find the square and cube roots of decimal fractions. |
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Section 7: Rate & Proportion | |||
Lecture 43 | 07:55 | ||
In this video we are going to deal with how to compare quantities of the same kind, or same ratio. |
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Lecture 44 | 10:15 | ||
In this video we are going to deal with how to compare quantities of different kinds (Rate). |
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Lecture 45 | 07:37 | ||
In this video we are going to look at how to share a given ration. |
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Lecture 46 | 06:52 | ||
In this video we are going to look at the effects of increasing or decreasing a ratio. |
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Section 8: Financial Maths | |||
Lecture 47 | 06:58 | ||
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. |
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Lecture 48 | 09:36 | ||
This video will teach a student about how to apply discount and VAT and what it all means. |
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Lecture 49 | 09:40 | ||
This video describes simple interests to help students get an understanding of the concept. |
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Lecture 50 | 04:57 | ||
This video will take students through the important analysis on how to do Hire Purchase type questions |
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Lecture 51 | 06:13 | ||
This video will describe how Loans work and do practical examples to help students better understand the concept. |
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Lecture 52 | 11:15 | ||
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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