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Maths grade 8 (1 of 5) Numbers, Operations & Relationships

Mathematics module 1 of 5 for all students, age 12-14, wanting to build a solid foundations in 21st century mathematics
3.9 (5 ratings)
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259 students enrolled
Last updated 1/2016
English
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Includes:
  • 7 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
Understand, in detail, the module Numbers, Operations & Relationships, including Whole Numbers, Exponents, Integers, Common Fractions, Decimal Fractions, Rate & Proportion and Financial Maths.
Take the next step in their mathematically journey with a solid mathematically foundation
Critically apply mathematics to real world situations as well as have your mathematic knowledge extended past the classroom
View Curriculum
Requirements
  • Basic foundation phase mathematics. Including your number line, ability to draw shapes and graphs
  • Must have completed Elementary school (US) or Grade 6 or 7 (UK) mathematics
Description

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:

  • Whole Numbers
  • Exponents
  • Integers
  • Common Fractions
  • Decimal Fractions
  • Rate & Proportion
  • Financial Maths

Enjoy!

Who is the target audience?
  • Students age 12-14 wanting to improve their mathematics
  • Set at Grade 8 level this can be any student at the end of middle school, start of high school (US) or grade 7-9 (UK)
  • Any relevant mathematics teachers wanting to improve upon classroom teaching methods.
  • Anyone wanting to build a strong foundation in introductory mathematics
  • Students from all over the world learning or wanting to learn mathematics in English can take this course, it is a cross-syllabus course
  • Anyone bored with the way mathematics is taught in the classroom and wanting a new exciting take on the subject
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Curriculum For This Course
Expand All 52 Lectures Collapse All 52 Lectures 07:12:58
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Introduction
1 Lecture 03:59

In this video you will meet your instructor and get an introduction to this course.

Preview 03:59
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Whole Numbers
11 Lectures 01:24:11

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.

Preview 05:16

This video will show a student how to add in columns, this is a common, logical, way to be taught when adding large numbers.

Whole Numbers (2 of 11)- Adding in columns
07:03

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,...

Whole Numbers (3 of 11) -Subtracting in columns
08:16

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.

Whole Numbers (4 of 11) - Multiplying in columns
18:08

As important as multiplication is, this video deals with long division and teachers a student through examples how to apply long division.

Whole Numbers (5 of 11) - long division
09:03

This video will deal with what number factors are and practice some examples.

Whole Numbers (6 of 11) - Number Factors
07:16

Moving on from number factors, this video deals with number multiples and how to find multiples of a number.

Whole Numbers (7 of 11) - Number Multiples
04:12

This video describes and works through examples of composite numbers. We will look at what makes a number composite or not.

Whole Numbers (8 of 11) - Composite Numbers
05:36

Prime Numbers! This video dives into the interesting world of prime numbers as well as gives in detail examples for students to practice.

Whole Numbers (9 of 11) - Prime Numbers and Prime Factors
09:05

This video will deal with how to find the Highest Common Factors of numbers.

Whole Numbers (10 of 11) - HCF of numbers
05:46

In this video we are going to find the Lowest Common Factors of Numbers

Whole Numbers (11 of 11) - LCM of numbers
04:30
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Exponents
9 Lectures 01:12:20

We are now getting into exponents, this video will talk about how to represent some normal number in exponential form.

Preview 09:43

This video will deal with how to represent a number in scientific notaiton.

Exponents (2 of 9) - Representing numbers in scientific notation
07:41

In this video we are going to deal with the Power of Zero Law in exponents.

Exponents (3 of 9) - Power of Zero Law
05:00

In this video the student will look into how to apply the multiplication rule to exponents.

Exponents (4 of 9) - Multiplication Law
06:23

This video will deal with the exponential division law.

Exponents (5 of 9) - Division Law
06:13

This video will deal with the last main exponetial law and that is the power law.

Exponents (6 of 9) - Power Law
08:24

In this video we are going to find square roots of exponents.

Exponents (7 of 9) - Finding Square Roots
10:19

In this video we are going to find cube roots of exponents.

Exponents (8 of 9) - Finding Cube Roots
07:18

In this video you will learn how to apply all four of the main exponent laws to a single question.

Exponents (9 of 9) - Exponential laws four operations examples
11:19
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Integers
5 Lectures 41:15

Integers are the foundation of the number line this video will show you how to ensure you are ordering and comparing your integers correctly.

Preview 07:13

This video will reinforce how to add and subtract integers.

Integers (2 of 5) - Addition and Subtraction
11:38

This video will teach a student through examples how to multiply with integers, now we have negatives!

Integers (3 of 5) - Multiplication
05:59

This video will teach students how to divide using integers.

Integers (4 of 5) - Division
06:35

This video bring everything together by show how multiple operations can be performed at once.

Integers (5 of 5) - Multiple Operations
09:50
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Common Fractions
8 Lectures 01:17:16

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.

Preview 12:54

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.

Common Fractions (2 of 8) - Convert Mixed fractions to improper
03:59

This video will show you the correct way to add and subtract common fractions, including mixed numbers.

Common Fractions (3 of 8) - Adding and Subtracting including mixed numbers
11:58

This video will show you the correct way to multiply and divide common fractions, including mixed numbers.

Common Fractions (4 of 8) - Multiplying and Dividing including mixed numbers
13:28

This video will show you how similar it is to find square and cube roots as it was to whole numbers.

Common Fractions (5 of 8) - Finding Square and Cube Roots
07:10

This video will teach a student using examples how to find percentages of whole numbers.

Common Fractions (6 of 8) - Finding percentages of whole numbers
05:25

This video will teach students how to increase or decrease a number by a given percentage.

Common Fractions (7 of 8) - Increase or decrease a number by a percentage
09:58

This video will help a student get a practical understanding of Common Fractions through Word Problems.

Common Fractions (8 of 8) - Word problems
12:24
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Decimal Fractions
8 Lectures 01:12:39

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.

Preview 13:44

A decimal is simply another way of representing a number this video will show the equivalent forms of decimals.

Decimal Fractions (2 of 8) - Equivalent forms
06:53

Rounding off decimals must be done carefully, this video will describe all the different ways that decimals can be rounded off.

Decimal Fractions (3 of 8) - Rounding off
11:21

This video describes through examples the correct way to add and subtract decimals.

Decimal Fractions (4 of 8) - Adding and Subtracting
09:30

This video will teach a student how to multiply decimal fractions.

Decimal Fractions (5 of 8) - Multiplying Decimals
09:22

This video will show how to divide decimal fractions by whole numbers.

Decimal Fractions (6 of 8) - Dividing Decimals by whole numbers
04:55

This video will show how to divide decimal fractions

Decimal Fractions (7 of 8) - Dividing Decimals
08:32

This video will find the square and cube roots of decimal fractions.

Decimal Fractions (8 of 8) - Finding square and cube roots
08:22
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Rate & Proportion
4 Lectures 32:39

In this video we are going to deal with how to compare quantities of the same kind, or same ratio.

Preview 07:55

In this video we are going to deal with how to compare quantities of different kinds (Rate).

Rate & Proportion (2 of 4) - Comparing quantities of different kinds (Rate)
10:15

In this video we are going to look at how to share a given ration.

Rate & Proportion (3 of 4) - Sharing a giving ratio
07:37

In this video we are going to look at the effects of increasing or decreasing a ratio.

Rate & Proportion (4 of 4) - Increasing or decreasing a given ratio
06:52
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Financial Maths
6 Lectures 48:39

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.

Preview 06:58

This video will teach a student about how to apply discount and VAT and what it all means.

Financial Maths (2 of 6) - Discount and VAT
09:36

This video describes simple interests to help students get an understanding of the concept.

Financial Maths (3 of 6) - Simple Interest
09:40

This video will take students through the important analysis on how to do Hire Purchase type questions

Financial Maths (4 of 6) - Hire Purchase
04:57

This video will describe how Loans work and do practical examples to help students better understand the concept.

Financial Maths (5 of 6) - Loans
06:13

This fun video will deal with exchange rates and help a student get a good understanding of how global economies interact.

Financial Maths (6 of 6) - Exchange Rates
11:15
About the Instructor
4.1 Average rating
30 Reviews
1,018 Students
8 Courses
Engineer | Runner | Learner

Born and bread on the foothills of Table Mountain, Cape Town, South Africa. Electro-Mechanical Engineer and Running fanatic. I have been running as long as I can remember anything from 100m to 100km, in the mountains, on the road and on the track. I am constantly on the search for new information and adventures.

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