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.
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:
This video deals with a pattern with a common difference and derives the general rule and formula
This video now deals with a pattern with a constant ratio as opposed to a common difference and derives the general rule and formula
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.
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.
In this video we will look at how tables of data can represent functions.
This video will begin to delve into the creation of a formula and looking at what the difference between a formula and equation are.
Finally we going to get to the cherry on top and discuss and build our own equations.
Before we get into too much detail regarding Algebraic Expressions we are going to go into some detail on writing conventions.
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
Again we need to take a closer look and understanding to what variables, constants, exponents and coefficients are.
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.
Once we know what terms are like terms, we need to look at how to add and subtract them.
Once we know what terms are like terms, we need to look at how to multiply them together.
Once we know what terms are like terms, we need to look at how to divide them with both like and unlike terms.
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!
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.
This video will teach students how to take a real life situation and apply algebraic equations to it for analysis.
Again this video helps students conceptualize mathematics, but encouraging them to see if they can get a rough answer without using a calculator.
Now that we can solve by inspections we will learn to apply the heart of this section which is algebraic methods.
This video will deal with the case of using exponentials when solving algebraic methods.
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