Linear relations

Video 1: https://youtu.be/1xfbBHE3UCA

In this video it is explaining how you can take an increasing or decreasing patteren and put it into a chart, representing a constant change in the independnt and dependant variable. They are showing you how you can take constant patterned information, chart it and turn it into an expression which you can then follow to continue the pattern. For example they use the relation between the distance a car is going and the cost of gas per that distance.

Video 2: https://youtu.be/MweKCXkZ1GA

This video is similar to the last video but it has more of an explanation of y=mx+b and he explains more about what each part of that expression represents. M=slope b=y-intercept. He also explains what that means into further detail as if you were learning linear relations for the first time. He does more exmples with finding x and y and graphing it rather than charting it using different examples with different variables.

Linear equations and innequalities

Video 1: https://youtu.be/bAerID24QJ0

This video starts off by demonstrating how isolate x/find x in a simple linear equation. He also shows you how to deal with an equation if it is involving fractions, he shows you that expressing linear equations with fractions is the same thing but you multiply by the reciprocal to isolate the variable. He also demonstrates how you can check your final answer by substituting x.

Video 2: https://youtu.be/0X-bMeIN53I

This video is based on linear inequalities, he first explains what a linear inequality is. Then he tell you a very important rule, that when dividing by a negative number you must flip the inequality. He then gives an example of what that means. Throughout the video he goes on explaining more concepts and steps, he then demonstrates examples. Unfortunatley he does not explain the 3 steps of checking your answer, his video is more based on making sure you know the rule of flipping the sign and examples being demonstrated and solved.

Scale factor and similarity

Video 1: https://youtu.be/XtkU4VkWh8I

He begins with defining what scale factor is, he then demonstrates how to calculate it and how to use it. He explains all of the terminology he uses to a better, simple understanding. He first changes the values so that they are in the same units, then compares the larger image to the smaller image, he demonstrates how to fin =d the scale factor by comparing the values of one object to the other. He demonstrates cross multiplication to find the unknown length.

Video 2: https://youtu.be/FmZ2sKDb2SI

This video is only 1 of 8 on this topic, but he begines by explaning what similarity is. He explains that with similarity the corresponding angles are equal and that the corresponding sides are in proportion. He then demonstrates examples in order to explain what that means. He explains that the objective of similarity is to find the scale factor. He shows how to use scale factor to find side “x” based on similarity. He also explains cross mutiplication to find the missing length of an object