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An equation is a statement. If it includes a variable, then it's only true for certain values of the variable and false for all others, and to "solve" it means to find those values. An equation without variables is also a statement. Either the statement is true or else it isn't. If the statement isn't true, then it's not an equation. Either way, it was nice of someone to hand it to you, but there's nothing that needs to be done with it. It asks no question, poses no problem, and seeks no solution.
Integer programming is a method of mathematical programming that restricts some or all of the variables to integers. A subset of Integer programming is Linear programming. This is a form of mathematical programming which seeks to find the best outcome in such a way that the requirements are linear relationships.
SIr Cumference and the Dragon of Pi: A Math Adventure tells the story of Radius, the son of Sir Cumference, who desperately seeks the right amount of medicine to serve his ill father. One day when Radius and Sir Cumference were enjoying a quick meal the king developed a terrible stomach ache and the doctor was no where to be found. After the first potion turned Sir Cumference into a dragon Radius was determined to find the correct medicine - and find it fast! As Radius hurried to find a cure for his father he encountered his cousin, Lady Fingers, needed his assistance in order to finish placing the last part of the crust on her last pie. By observing the number of pieces of dough that were needed to form the circumference of the pie and noting the relationship between the circumference measurement and the pieces that extended from one side of the pie to the other (the diameter measurement) Radius rushes able to save his dad before the knights destroy him forever! This short story is ideal for supporting math curriculum in 3rd grade. Third grade is the time when Geometry becomes a strong focus - typically in the third and fourth quarters - and this book serves as a powerful and interesting tool for all students - especially those interested in fantasy. This book provides visual representations for students (they can see the pie and measurements of various circular objects) and describes how Radius goes about using measurements and division to solve his problem (divides circumference by diameter). It is a book that can be paired with manipulatives (students could use rulers and various circular items) and has a story line that engages students - if Radius does not figure out the correct amount in time the king will not be able to return to his human appearance! One additional perk this book offers is that it is one book in a series. I encourage teachers to collect the entire series so that as students learn different geometric ideas they can find the appropriate Sir Cumference book that can get children excited about math yet help them learn simultaneously!