I like ratios. All the introductory skills are performed using whole numbers. Therefore, I think this is a topic/concept that should be taught in primary schools. I have found that, when properly introduced, children adapt quite well to this kind of thinking.
I start by calling it sharing. Every child is familar with the concept of sharing … one for me, one for you, two for you … and can predict how many items each person will have after a given number of cycles. They do this when dealing cards, for example.
Many students have watched concrete being made. When I explain how a labourer will have a pile of blue metal (aggregate), a pile of sand, and a supply of cement powder, and how they load the mixer, most of them readily understand the process and can calculate what a labourer would need to do for a double load. Most can even suggest two methods/sequences for loading the mixer.
In my opinion, it is vital that students learn to set their work out clearly in columns and that, except for the most elementary problems, the first line should consist of column headings. You will see more of this when I begin adding material here.
Rates compare measurements of ‘like’ quantities, for example two distances or two times or two money amounts. They are normally written side-by-side separated by colons (:). All will be revealed as I add material to this page!
Thank you for the video(s). To date, your channel is the most comprehensive and comprehensible series of math instruction I’ve found. The meat of the subjects covered is just as advertised, “Crystal Clear”, and the historical references are and added bonus. I hope you will continue to produce these high quality tutorials. Your experience and dedication to teaching the subject are abundantly apparent. “Good on ya”!
John W (on CCM YouTube video about Simpson’s Rule)
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