Geometry Pacing Guide 2014-2015 Unit Topic SPI To recognize
... sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Use coordinates to prove simple geometric theorems algebraically. ...
... sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Use coordinates to prove simple geometric theorems algebraically. ...
Unit 7 - ESSENTIAL QUESTIONS
... 4. use the properties of similarity transformations to develop the criteria for proving similar triangles. 5. use AA, SAS, SSS similarity theorems to prove triangles are similar. 6. use triangle similarity to prove other theorems about triangles. 7. using similarity theorems to prove that two triang ...
... 4. use the properties of similarity transformations to develop the criteria for proving similar triangles. 5. use AA, SAS, SSS similarity theorems to prove triangles are similar. 6. use triangle similarity to prove other theorems about triangles. 7. using similarity theorems to prove that two triang ...
UNIT 5 • SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY, AND
... Think about crossing a pair of chopsticks and the angles that are created when they are opened at various positions. How many angles are formed? What are the relationships among those angles? This lesson explores angle relationships. We will be examining the relationships of angles that lie in the s ...
... Think about crossing a pair of chopsticks and the angles that are created when they are opened at various positions. How many angles are formed? What are the relationships among those angles? This lesson explores angle relationships. We will be examining the relationships of angles that lie in the s ...
Mapping for Instruction - First Nine Weeks
... This curriculum guide follows the 2009 Virginia Geometry SOLs and uses the 2012 edition of Prentice Hall – Geometry Virginia Edition textbook as the primary resource. It is extremely important and required that the Sequence of Instruction and Pacing be followed as presented in the curriculum guide. ...
... This curriculum guide follows the 2009 Virginia Geometry SOLs and uses the 2012 edition of Prentice Hall – Geometry Virginia Edition textbook as the primary resource. It is extremely important and required that the Sequence of Instruction and Pacing be followed as presented in the curriculum guide. ...
Study Guide
... Every point in the coordinate plane can be denoted by an ordered pair consisting of two numbers. The first number is the x-coordinate, and the second number is the y-coordinate. To determine the coordinates for a point, follow these steps. 1. Start at the origin and count the number of units to the ...
... Every point in the coordinate plane can be denoted by an ordered pair consisting of two numbers. The first number is the x-coordinate, and the second number is the y-coordinate. To determine the coordinates for a point, follow these steps. 1. Start at the origin and count the number of units to the ...
SMSG Geometry Summary
... 4. We do not write = between two geometric figures unless we mean the figures are exactly the same. Example: Two descriptions of exactly the same angle or exactly the same line using different points. 5. Definition. Given a correspondence ABC ←→ DEF between the vertices of two triangles. If every pa ...
... 4. We do not write = between two geometric figures unless we mean the figures are exactly the same. Example: Two descriptions of exactly the same angle or exactly the same line using different points. 5. Definition. Given a correspondence ABC ←→ DEF between the vertices of two triangles. If every pa ...
SMSG Geometry Summary (Incomplete)
... 4. We do not write = between two geometric figures unless we mean the figures are exactly the same. Example: Two descriptions of exactly the same angle or exactly the same line using different points. 5. Definition. Given a correspondence ABC ←→ DEF between the vertices of two triangles. If every pa ...
... 4. We do not write = between two geometric figures unless we mean the figures are exactly the same. Example: Two descriptions of exactly the same angle or exactly the same line using different points. 5. Definition. Given a correspondence ABC ←→ DEF between the vertices of two triangles. If every pa ...
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes.The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2 in a plane may be described as the set of all points whose coordinates x and y satisfy the equation x2 + y2 = 4.Cartesian coordinates are the foundation of analytic geometry, and provide enlightening geometric interpretations for many other branches of mathematics, such as linear algebra, complex analysis, differential geometry, multivariate calculus, group theory and more. A familiar example is the concept of the graph of a function. Cartesian coordinates are also essential tools for most applied disciplines that deal with geometry, including astronomy, physics, engineering and many more. They are the most common coordinate system used in computer graphics, computer-aided geometric design and other geometry-related data processing.