Mathematics Grade 8 (2 of 5) - Patterns, Functions & Algebra
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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
4.3 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
189 students enrolled
Created by Matthew Henshall
Last updated 1/2016
English
Current price: $10 Original price: $40 Discount: 75% off
4 days left at this price!
30-Day Money-Back Guarantee
Includes:
  • 3 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • 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
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 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!

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
21 Lectures
02:49:51
+
Introduction
1 Lecture 04:00

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

Preview 04:00
+
Numeric and Geometric Patterns
3 Lectures 33:20

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

Preview 11:17

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

(2 of 3) - A constant ratio including the general
14:48

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.

(3 of 3) - Patterns not involving a common difference or ratio
07:15
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Functions and Relationships
4 Lectures 33:18

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.

Preview 10:00

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

(2 of 4) - Tables
11:30

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

(3 of 4) -Formulae
06:16

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

Functions and Relationships (4 of 4) -Equations
05:32
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Algebraic Expressions
9 Lectures 01:12:00

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

Preview 11:16

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

(2 of 9) - Monomials, binomials, trinomials and polynomial
08:39

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

(3 of 9) - Variables, constants, exponents and coefficients
08:09

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.

(4 of 9) - Identify like and unlike terms
05:28

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

(5 of 9) - Add and subtract like terms
06:50

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

(6 of 9) - Multiplication of integers, monomials, binomials and trinomials
10:20

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

(7 of 9) - Divide monomials, binomials & trinomials by monomials
07:45

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!

(8 of 9) - Finding square roots and cube roots - Copy
07:40

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.

(9 of 9) - Finding the numerical value by substitution
05:53
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Algebraic Equations
4 Lectures 27:13

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

Preview 05:53

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

(2 of 4) - Solve by inspection
07:00

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

(3 of 4) - Solve using algebraic methods
07:55

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

(4 of 4) - Exponential
06:25
About the Instructor
Matthew Henshall
4.6 Average rating
33 Reviews
1,062 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.