In this video we’re going to look at how to use substitution in equations to generate a table of ordered pairs. Ordered pairs (coordinates) can be used to solve equations, to plot graphs, and so we come across them a lot in Maths. You should already know how to substitute into equations, and how to solve simple equations. We have this relationship y = 3x + 1. The value of ‘y’ depends on what the value of ‘x’ is. So if ‘x’ is 2, then y is 7. This can be written an (2, 7). We can generate a table of values by substituting in different values of 'x' and finding the corresponding 'y' values. Once we've generated a table of values, we can then write out the values as ordered pairs: (0, 1) (1, 4) (2, 7) (3, 10). Always write the ‘x’ value before the ‘y’ value (x, y) and not (y, x). The ‘x’ and ‘y’ are both known as variables, because they aren’t set values. They vary. Even more specifically, we call the ‘x’ the INDEPENDENT variable, because we can choose any value of ‘x’ randomly or independently. But the ‘y’ is known as the ‘DEPENDENT’ variable. Y depends upon the value of ‘x’. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Twitter: https://twitter.com/fuseSchool Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org Friend us: http://www.facebook.com/fuseschool This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org Click here to see more videos: https://alugha.com/FuseSchool
Learn about graphs. In this introductory video we will introduce coordinates, quadrants and the two axis: x-axis and y-axis. Click here to see more videos: https://alugha.com/FuseSchool VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders
Let’s discover some more circle theorems so that we can solve all types of geometrical puzzles. We discovered these 4 theorems in part 1: Angle at the centre is double the angle at the circumference The angle in a semi-circle is 90 degrees Angles in the same segment are equal / Angles subtended by
Click here to see more videos: https://alugha.com/FuseSchool If we don't have the vertical height of a triangle, then we can find the area of the triangle using 1/2absinC. In this video we are going to discover where this formula comes from. The formula is based on area = 1/2 base X height and a
