Mathematics Grade 8 (2 of 5) - Patterns, Functions & Algebra

Mathematics module 2 of 5 for all students, age 12-14, wanting to build a solid foundations in 21st century mathematics
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  • Lectures 21
  • Length 3 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
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About This Course

Published 1/2016 English

Course Description

Welcome to this Mathematics Grade 8 course, module 2 of 5 on Patterns, Functions & Algebra.

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 2+ hours of video content encouraging students to answer questions throughout the videos. There are 5 modules in total, this is module 2.

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:

  • Numeric and Geometric Patterns.
  • Functions and Relationships.
  • Algebraic Expressions.
  • Algebraic Equations.

Enjoy!

What are the 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

What am I going to get from this course?

  • Understand, in detail, the module Patterns, Functions & Algebra, including Numeric and Geometric Patterns, Functions and Relationships, Algebraic Expressions and Algebraic Equations.
  • 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

What 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

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction
04:00

In this lecture, you will meet your instructor as well as get a overview of the course.

Section 2: Numeric and Geometric Patterns
11:17

This video deals with a pattern with a common difference and derives the general rule and formula

14:48

This video now deals with a pattern with a constant ratio as opposed to a common difference and derives the general rule and formula

07:15

In this video we are going to look at patterns that don't have a constant ratio or common difference, this video will give you a good idea of what is to come regarding patterns in the future.

Section 3: Functions and Relationships
10:00

In this video we going to look at Flow Diagrams, also know previously as Spider Diagrams and we will see why they are so important in creating functions.

11:30

In this video we will look at how tables of data can represent functions.

06:16

This video will begin to delve into the creation of a formula and looking at what the difference between a formula and equation are.

05:32

Finally we going to get to the cherry on top and discuss and build our own equations.

Section 4: Algebraic Expressions
11:16

Before we get into too much detail regarding Algebraic Expressions we are going to go into some detail on writing conventions.

08:39

This video is going to describe what all these 'omials' are. What is a monomial, binomial etc? This video continues to built to the center of this section

08:09

Again we need to take a closer look and understanding to what variables, constants, exponents and coefficients are.

05:28

It is extremely important to be able to play 'snap' with terms, this video will explain exactly what like and unlike terms are and what it all means.

06:50

Once we know what terms are like terms, we need to look at how to add and subtract them.

10:20

Once we know what terms are like terms, we need to look at how to multiply them together.

07:45

Once we know what terms are like terms, we need to look at how to divide them with both like and unlike terms.

07:40

We have learnt in previous modules how to find square and cube roots, what will be different now using algebra? This video explains just that!

05:53

What do we mean when we say solve by substitution? We don't mean "-". This video helps students gain a good concept of what we have covered in this section.

Section 5: Algebraic Equations
05:53

This video will teach students how to take a real life situation and apply algebraic equations to it for analysis.

07:00

Again this video helps students conceptualize mathematics, but encouraging them to see if they can get a rough answer without using a calculator.

07:55

Now that we can solve by inspections we will learn to apply the heart of this section which is algebraic methods.

06:25

This video will deal with the case of using exponentials when solving algebraic methods.

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Instructor Biography

Matthew Henshall, 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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