Geometry Problem Lesson

Geometry Problem Lesson

Introduction

Geometry and Algebra has a significant connections in all of mathematics, historically, mathematics has made a big step forward in the seventeenth century, when the ancient geometrical ideas were expressed in the language of coordinate geometry, which provides new tools for a wide range of tasks.

In recent years, the study of geometry using geometric transformations has changed from static to dynamic in the process of ensuring a high additional power that can be used. Considered as an algebraic system, the changes also provide the students with valuable experience with the intention of the properties of the composition of the function and structure of the group.

The interaction between geometry and algebra strengthens the students' ability to develop and analyse problems, situations, and outside of mathematics. Although, the students sometimes work separately from synthetic, coordinate geometry and transformations, which must have many opportunities to compare, contrast, and translate between these systems. Students should get the basic ideas to understand the specific problems which are often easier to solve in one way or the other of these systems.

Discussion

Objects and relationships of geometry correspond directly with the objects and relations of the algebra. For example, a point on the geometry corresponds to an ordered pair (x, y) of numbers in algebra, the line set of ordered pairs which satisfies the equation of the form ax + by = c, and the intersection of two lines of the set of ordered pairs that satisfy the corresponding equations. The representations of these allow translation of the two "languages" and the concept of authorization in order to clarify and reinforce the concepts in one another. In fact, to deduce the properties of geometric figures in order to coordinate their presentation, it is often easier for students who are synthetic tests. For example, all ...