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Geometry

Geometry. Introduction. What is Geometry?. Definition : Geometry ( jee - om - i -tree) – n. The branch of mathematics concerned with the properties of and relationships between points, lines, planes , and figures. Geometry is everywhere!. IN BUILDINGS. Origins of Geometry.

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Geometry

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  1. Geometry Introduction

  2. What is Geometry? • Definition: Geometry (jee-om-i-tree) – n. The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

  3. Geometry is everywhere!

  4. IN BUILDINGS

  5. Origins of Geometry • The earliest records of geometry can be traced to ancient Egypt and the Indus Valley from around 3000 BC. • Early geometry was a collection of observed principles concerning lengths, angles, areas, and volumes. These principles were developed to meet practical needs in construction, astronomy, and other fields. • Euclid, a Greek mathematician, wrote The Elements of Geometry. • He presented geometry in a practical form known as Euclidean geometry .

  6. Unit 1. Congruence • Learning Target: 1. I can describe the undefined terms: point, line, and distance alone a line in a plane. 2. I can define perpendicular lines, parallel lines, line segments, and angles.

  7. Points, Lines, and Planes • Point – the result of the intersection of two lines; represented by a dot. • Line – a figure formed by connecting two points and extending beyond each point in both directions; represented with arrows on each end. • Plane – a flat surface that extends indefinitely in all directions; represented by a parallelogram.

  8. Line Segment, Ray and Angles • Line Segment – part of a line consisting of two endpoints and all the points between them. • Ray – part of a line starting at a point and extending infinitely in one direction. • Angle – a figure consisting of two rays with a common endpoint.

  9. Parallel line and Intersecting Line • Parallel lines – lines in the same plane that do not intersect. • Perpendicular lines – two lines that intersect to form a right angle.

  10. Sage and Scribe Activity • The first partner, the “sage”, will talk about the math problem, while the other, the scribe will write it. • If the sage is correct, the scribe praises the sage. Otherwise, the scribe coaches, then praises. • You should swap roles for the next problem. • Students will talk at voice level 1.

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