EDEXECL topics HIGHER
... right-prisms and cylinders Solve a range of problems involving surface area and volume, e.g. given the volume and length of a cylinder find the radius Convert between units of volume ...
... right-prisms and cylinders Solve a range of problems involving surface area and volume, e.g. given the volume and length of a cylinder find the radius Convert between units of volume ...
Study Guide for Final Ch 1-6
... 5. Two lines parallel to the same plane are __?__ parallel to each other. A) always B) sometimes C) never 6. Which of the following is the hypothesis of the conditional: I’ll stay if I win. A) I’ll stay. B) I win. C) I’ll leave if I lose D) I’ll win if I stay. ...
... 5. Two lines parallel to the same plane are __?__ parallel to each other. A) always B) sometimes C) never 6. Which of the following is the hypothesis of the conditional: I’ll stay if I win. A) I’ll stay. B) I win. C) I’ll leave if I lose D) I’ll win if I stay. ...
2016 Geometry Pacing Guide - Washington County Schools
... across disciplines, and in everyday experiences C.1.i.Use properties of special quadrilaterals in a proof D.1.a. Identify and model plane figures, including collinear and noncollinear points, lines, segments, rays, and angles using appropriate mathematical symbols D.1. b. Identify vertical, adjacent ...
... across disciplines, and in everyday experiences C.1.i.Use properties of special quadrilaterals in a proof D.1.a. Identify and model plane figures, including collinear and noncollinear points, lines, segments, rays, and angles using appropriate mathematical symbols D.1. b. Identify vertical, adjacent ...
Geometry Mathematics Curriculum Guide
... Relate work on parallel lines in G.GPE.5 to work on A.REI.5 in High School Algebra I involving systems of equations having no solution or infinitely many solutions Review the concept of slope as the rate of change of the y-coordinate with respect to the x-coordinate for a point moving along a line ...
... Relate work on parallel lines in G.GPE.5 to work on A.REI.5 in High School Algebra I involving systems of equations having no solution or infinitely many solutions Review the concept of slope as the rate of change of the y-coordinate with respect to the x-coordinate for a point moving along a line ...
Geometry - What I Need To Know! Answer Key (doc)
... The student, given information concerning the lengths of sides and/or measures of angles in triangles, will a) order the sides by length, given the angle measures; b) order the angles by degree measure, given the side lengths; c) determine whether a triangle exists; and d) determine the range in whi ...
... The student, given information concerning the lengths of sides and/or measures of angles in triangles, will a) order the sides by length, given the angle measures; b) order the angles by degree measure, given the side lengths; c) determine whether a triangle exists; and d) determine the range in whi ...
Geometry Curriculum Map (including Honors) 2014
... as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). G.CO.1.4. Develop definitions of rotations, reflections, and translations in terms of an ...
... as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). G.CO.1.4. Develop definitions of rotations, reflections, and translations in terms of an ...
Chapter 13 Geometry
... see through objects, but not fly through them. His desired path flies straight to the goal, until it bumps into an object. At this point, he flies along the boundary of the circle until he returns to the straight line linking position to his start and end positions. This is not the shortest obstacle ...
... see through objects, but not fly through them. His desired path flies straight to the goal, until it bumps into an object. At this point, he flies along the boundary of the circle until he returns to the straight line linking position to his start and end positions. This is not the shortest obstacle ...
Geometry - Caverna Independent Schools
... 1. Verify experimentally the properties of dilations given by a center and a scale factor: 2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as ...
... 1. Verify experimentally the properties of dilations given by a center and a scale factor: 2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as ...
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.