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

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Mathematics module 1 of 5 for all students, age 12-14, wanting to build a solid foundations in 21st century mathematics

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- 7 hours on-demand video
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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

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

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