constructing the idea of geometry using their imagination and creativity. Anus is a boy who enjoys all kinds of hands-on activities. One…
If R and r is the Circumradius and Inradius of a non-degenerate triangle then due to Euler we have an Inequality stated as and the equality holds when the triangle is equilateral. This ubiquitous inequality occurs in the literature in many different equivalent forms [4] and also Many other different simple approaches for proving this inequality are known. (some of them can be found in [2], [3], [5], [17], and [18] ). In this article we present a proof for this Inequality based on two basic…
think they should 've kept math they way they did before they implemented the new way of learning. And that 's why I hate math and dread going to math class” says Patrick Murzinski, an honors math student. Joey Rorro, a former honors geometry student states, “I hate geometry. Its useless information unless you are pursuing a career in architecture. Trying to find the tangent of an angle is next to white ink as the most useless thing the world has ever seen.” Just like what Patrick said, the…
Then formula is cosα=b/c=(adjacent leg)/hypotenuse Here is also a diagram for easier understanding. The Law of cosines The law of cosine first appears in Euclid’s Elements, which is one of the very first textbook of geometry. If we got a triangle ABC and if angle β is an acute angle then we use the following formula to calculate sides: We can use the law of cosines in a triangle to calculate angles and sides of triangle. For that to happen we must already know two sides…
Compasses and straightedges are tools used regularly in geometry. Compasses are used to draw precise circles and arcs, leading to making many geometric figures. Straightedges are used to make straight lines that are exact measurements. There is a need for students to understand and be able to construct geometric figures using a compass and straightedge. This is because students will be able to understand the steps it takes to construct geometric figures, it allows students to understand how to…
Introduction The NAPLAN test (http://www.nap.edu.au) is for both primary and secondary schools to assess the performance of Australian students against minimum national standards (Reys et al., 2012). With this in mind the approach to answering the questions was to work through all parts of the questions just like a student would, to form an understanding of the process and methods a student taking the test would perform. The questions were not overly difficult to conceptualise, however, working…
Degenerate Cases of Conic Sections: Conics are formed when a plane and a double cone intersect. These intersections can form a variety of conics. These include: circles, parabolas, ellipses and hyperbolas. A circle can be formed from a cone if a plane intersects with the cone at an angle perpendicular to the base of the cone. This circle is also formed by the equation: (x-h)2+ (y-k)2=r2. This equation creates a relation because the collection of points does not pass the vertical line test. To…
allows students to be creative and get-along together. I think it would be a great learning experience for students because it allows them to experience the life of those slaves who could not read or write. It allows them to appreciate history, geometry, quilts, and geology. I think it encourages them to reason and think critically. The article made me realize that quilts are just for decorations but that they are part of history. I do not think many people know the importance of quilts.…
Famous philosopher Thales once said, “The most difficult thing in life is to know yourself.”, meaning it takes a while to fully understand one’s self and the strengths or weaknesses within (“Thales”). Thales is an ancient Greek philosopher born in the city of Miletus (“Thales of Miletus” Science). Although, he was a Milesian, his parents, Examyes and Cleobuline, were Phoenicians themselves (“Thales of Miletus” Science). Very little was known about Thales, such as his exact birth and death…
Johnny Martinez Period 7th Pythagorean Theorem The Pythagorean Theorem also known as Pythagoras’s theorem is a relation in Euclidean geometry that are the tree sides of a right triangle. It’s the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. The equation use for it is A squared plus B squared equals C squared.The Theorem relates the lengths of the three sides of any…