Glossary of dictionary terms in the AP geometry units
|
|
- Lauren Lucas
- 5 years ago
- Views:
Transcription
1 Glossary of dictionary terms in the AP geometry units affine linear equation: an equation in which both sides are sums of terms that are either a number times y or a number times x or just a number [SlL2-D5] angle bisector: a segment that divides an angle into two equal parts [Cir1-5] Angle-Side-Angle Theorem, or A-S-A: the statement expressing that two triangles are congruent if two corresponding pairs of angles and the side between them are the same, respectively [SSC4-D1] arc of a circle: segment of a circle [Cir4-0], see also circle arrow diagram: a scheme, a drawing, or a table that summarizes the effect of one or more geometric transformations on certain geometric figures by indicating the initial and the final objects of the transformation [SSC2-D1b] axes: plural for axis [LAP1-D1] axis: either the horizontal or the vertical lines, marked by numbers, and helping to locate a spot in a rectangular coordinate system [LAP1-D1] center of circle: see circle central angle: an angle with vertex at the center of a circle [Cir4-0], see circle centroid: the intersection of the 3 medians in a triangle [TPh3-4] chord: segment with endpoints on a circle [Cir1-0], see also circle circle: a figure in a plane with the property that all its points are equally distanced from a fix point (called the center of the circle) [SSC2-D1a]
2 Center of circle Circle Circumference = distance around the circle Chord = segment with endpoints on the circle Tangent line (see Cir1-4) Point of tangency = point where the tangent line touches the circle Diameter = chord containing center Radius = segment from center to circle [Cir1-0] Arc l Sector (area) Central angle Inscribed angle or angle subtending arc l Radius R Center O [Cir4-0] circumcircle: the circle that contains all the vertices of a triangle. Also, this circle is the circle circumscribed about the triangle, and the center of the circle is called the circumcenter of the triangle, and the triangle is said to be inscribed in the circle. [Cir1-3] circumference: distance around the circle [Cir1-0], see circle
3 circumscribes the circle: every side is tangent to the circle [Cir1-6; Cir2-3] collinear: not all on the same line [Cir1-3] concentric: with the same center [Cir5-4] congruent: the property of two geometric figures so that there is an isometry that takes one onto the other and they match perfectly [SSC4-D1; HCh1-D2; HCh1-D2] conversely: a mathematical term implying an alternative way of looking at a mathematical statement [SlL4-D1] convex: polygon with all interior angles less than 180 [TPh2-10] coordinate system: a procedure of assigning to each point in a certain region a collection of (2 or more) numbers and letters (or words) that determines its position [CSy-1] coordinates: the collection of numbers and letters assigned to a point in a coordinate system [CSy-1] cos( ): the x-coordinate of the point on the unit circle with central angle ( ). [Cir5- D3] cross-section of a solid: the intersection of the solid with a plane [TPh3-3] cube: a polyhedron made up of 6 squares with 3 squares coming together at each vertex [TPh2-4] diameter: chord with endpoints on the circle [Cir1-0] definition of a shape: a description that is sufficient to decide whether a figure is or it is not of that shape [SSC1.2] degenerate (equation): an equation that either has no solutions (that is, it is impossible to solve ) or it has an infinity of solutions (that is, it is an identity) [SlL2-D6] diagonal: a line segment in the interior of a polygon joining two vertices [LAP2-D3]; [Cir2-D1] displacement (from a point A to a point B): the directed segment that starts at A and ends at B [HCh4-D2] dodecahedron: a regular polyhedron made up of 12 pentagons with 3 pentagons coming together at each vertex [TPh2-2]
4 end points of the line segment: the two extremities of a line segment [HCh1-D2] equation of a line: the algebraic expression holding together the two coordinates of all points of a given line, and none others [SlL2-D2] equidistant: two lines that stay the same distance apart (also see parallel ) [LAP1- D2; SlL1-D1] exterior angle: the supplementary angle of an angle of a polygon [TPh2-10], [Cir4-2] Exterior Angle Theorem: On the plane, any exterior angle is the sum of the opposite interior angles, and. ( = + ) [Cir4-2] extrinsic: a point-of-view from the outside [NEG1-D2] general position: a geometric figure with no particular characteristics (for instance, a rectangle with sides not parallel/perpendicular to other sides) [IGA1] geodesics (geo-dees-iks): paths that are intrinsically straight on a sphere (or other surfaces) [NEG1-4] glide symmetry: the geometric property of a figure that can be moved successively in a direction with perfect self-preservation [SSC2-D1a] great circles: the biggest circles on the sphere (the ones that divide the sphere in half) [NEG1-D2] half-turn symmetry: a rotation through half of a full revolution about a point; it is the geometric property of a figure for which half of it lies exactly to the opposite of a certain point [SSC2] hypotenuse: the side opposite to the right angle in a right angle triangle [LAP3-D1] icosahedron: a regular polyhedron made up of 20 triangles with 5 triangles coming together at each vertex [TPh2-1] identity: a symmetry that leaves a geometric figure unchanged [SSC3-D1] incenter: the center of the inscribed circle [Cir1-D1] infinite slope: the slope of a vertical line [SlL1-D1] inscribed angle: an angle inside a circle with vertex on the circle [Cir4-0], see also circle
5 inscribed circle: the circle that is tangent to all three sides of a triangle, its center is called the incenter of the triangle. [Cir1-6] inscribed in the circle: all vertices on the circle [Cir1-3], [Cir2-3] inscribed in the triangle: a circle that lies inside the triangle and touches all three sides at one point, respectively [TPh3-D1] intrinsic: a point-of-view from the inside [NEG1-D2] isometry (i-som-e-tree): a transformation that preserves distances and angle measures [SSC2-D1a] Law of Cosines: If we know two sides a and b and the included angle, then the third side c satisfies: c 2 = b 2 + a 2 2(ba) cos( ). [Cir5-6] line segment: a part of a line that joins two points [HCh1-D2] location vector (of a point): a vector starting in a conventional origin and pointing to a given end-point [HCh4-D2] median: the segment in a triangle (or on a face of a tetrahedron) from a vertex to the midpoint of the opposite side (or edge) [TPh3-2] n-gon: a polygon with n sides [TPh2-10] numbers: the arithmetic value on the real line that designates the location of a point [GRL1-D2] octahedron: a regular polyhedron made up of 8 triangles with 4 triangles coming together at each vertex [TPh2-3; TPh3-6] order of a symmetry group: the number of distinct symmetries of a symmetry group, excluding the identity [SSC3-D1] ordering: arranging certain measures (numbers or line segments from the smallest to the greatest [HCh1-D5] parallel: two lines that stay the same distance apart no matter how far they are extended (also see equidistant ) [LAP1-D2; SlL1-D1] perpendicular bisector of a line segment: the line that intersects the segment at its midpoint and is perpendicular to the segment. [Cir1-2] perpendicular curves: two curves are perpendicular at a point P if the tangent lines at P are perpendicular to each other. [Cir1-D1]
6 pi ( ): the ratio of the circumference to the diameter of any circle in a plane [Cir2-D1] perimeter: the distance around a polygon [Cir2-D1] point (or location): the simple geometric entity, with no parts [HCh4-D2] point of tangency: point where the tangent line touches the circle [Cir1-0], see also circle polar coordinates: The point with polar coordinates [R, ] is the point with rectangular coordinates ( R cos( ), R sin( ) ). P = ( R cos( ), R sin( ) ) R 0 [Cir5-4] polygon: a closed figure in the plane with straight edges. polyhedron: a solid in 3-space with each of whose faces is a polygon. Platonic solid: same as regular polyhedron [TPh2-D1] product (of symmetries): the result of two or more successive symmetries [SSC3-D1] proof: a communication that convinces and answers why? [SSC2-D1b] radian measure (of a central angle ): the ratio of the arc and the radius [Cir4-1], [Cir5-2] radius: a segment from center to circle, see also circle [Cir1-0] ratio: the proportion (the result of the division) between the lengths of two segments [ScM1-D2] real line: the integer number line, with all points in between integers added [GRL1-D2] reciprocal (of a number m): the proportion between 1 and the given number m; that is, the reciprocal is 1/m [SlL1-8] rectangular coordinate system: the horizontal and vertical axes, taken together in order to locate a point in the plain [LAP1-D1]
7 rectangular coordinates: pairs of numbers, the first on the horizontal axis and the second on the vertical axis; each pair uniquely determines the planar position of a spot [LAP1-D1] reflection (or mirror) symmetry: the geometric property of a figure that can be folded along a straight line so that its two halves perfectly overlap after folding [SSC2] regular polyhedron: a polyhedron with all the faces are the same regular polygon [TPh2-D1] regular polygon: a polygon with all equal sides and equal interior angles [TPh2-D1] sector of a circle: area bounded by an arc and central angle of a circle [Cir4-0], see also circle Side-Angle-Side Theorem, or S-A-S: the statement expressing that two triangles are congruent if two corresponding pairs of sides and the angle between them are the same, respectively [SSC4-D1] Side-Side-Side Theorem, or S-S-S: the statement expressing that two triangles are congruent if all three corresponding pairs of sides are of the same length [SSC4-D1; SSC5-D1] sin( ): the y-coordinate of the point on the unit circle with central angle ( ). [Cir5- D3] skew lines: lines which are not parallel and do not intersect, even if extended [TPh3-2] slope (of a line or line segment): the proportion of the change in the y-coordinates to the change in the x-coordinates when we consider a movement between two points [SlL1-D1] slope-intercept form of the equation of a line : the equation of a line written as y = mx + b, where m is the slope of the line and b is the y-intercept [SlL2-D4] smooth curve: a curve that has a tangent line at every point [Cir3-D2] solving a system of simultaneous equations: finding the pairs of coordinates that simultaneously verify two (or more) equations [SlL3-D1] space-filling curve: a curve that has non-zero area [Cir3-D2] straight line: a line that has translation symmetry, half-turn symmetry and reflection symmetry [SSC2-D1a]
8 subtending an arc: an inscribed angle intersecting the endpoints of the arc [Cir4-0], see also circle symmetry group: all the distinct symmetries of a geometric figure, considered together but without repetition [SSC3-D1] symmetry of a figure: an isometry of a region of space that takes the figure (or the portion of it in the region) onto itself [SSC2-D1a] tangent line to a curve at the point at the point P: when you zoom-in on P, the curve and the line become indistinguishable. [Cir1-D1] tangent function, tan( ): sin( )/cos( ). [Cir5-7] tetrahedron: a regular polyhedron made up of 4 triangles with 3 triangles coming together at each vertex [TPh2-5] theorem: a statement for which we have a proof [SSC2-D1b] tiling: a covering of the plane with a geometric form repeated ad infinitum so that there are no gaps and no overlaps between the adjacent figures [TPh1-1] triangle inequality: an algebraic relationship expressing that in any triangle the sum of two sides must be longer than the third side [SSC5-D1] unit circle: a circle for which the unit of length measure is the radius [Cir5-D2] vector: an oriented line segment, having magnitude (length) and direction (from one designated end to the other) [HCh4-D2] vertices: the points that lie at the corners of a planar or spatial geometric figure [LAP2- D3] width (of a polyhedron): distance between two parallel planes arranged so that both touch the tetrahedron [TPh3-1]; [Cir2-D2] y-intercept: the value of y at which a line intersects the y-axis [SlL2-D4]
Course Number: Course Title: Geometry
Course Number: 1206310 Course Title: Geometry RELATED GLOSSARY TERM DEFINITIONS (89) Altitude The perpendicular distance from the top of a geometric figure to its opposite side. Angle Two rays or two line
More informationChapter 10 Similarity
Chapter 10 Similarity Def: The ratio of the number a to the number b is the number. A proportion is an equality between ratios. a, b, c, and d are called the first, second, third, and fourth terms. The
More informationGeometry Vocabulary Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and
More informationSuggested List of Mathematical Language. Geometry
Suggested List of Mathematical Language Geometry Problem Solving A additive property of equality algorithm apply constraints construct discover explore generalization inductive reasoning parameters reason
More informationVideos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ACCELERATED GEOMETRY (June 2014)
UNIT: Chapter 1 Essentials of Geometry UNIT : How do we describe and measure geometric figures? Identify Points, Lines, and Planes (1.1) How do you name geometric figures? Undefined Terms Point Line Plane
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a
More informationGeometry Rules. Triangles:
Triangles: Geometry Rules 1. Types of Triangles: By Sides: Scalene - no congruent sides Isosceles - 2 congruent sides Equilateral - 3 congruent sides By Angles: Acute - all acute angles Right - one right
More informationMADISON ACADEMY GEOMETRY PACING GUIDE
MADISON ACADEMY GEOMETRY PACING GUIDE 2018-2019 Standards (ACT included) ALCOS#1 Know the precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined
More information3 Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ).
Geometry Kindergarten Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1 Describe objects in the environment using names of shapes,
More informationCarnegie Learning High School Math Series: Geometry Indiana Standards Worktext Correlations
Carnegie Learning High School Math Series: Logic and Proofs G.LP.1 Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions, axioms and postulates,
More informationGeometry Curriculum Map
Geometry Curriculum Map Unit 1 st Quarter Content/Vocabulary Assessment AZ Standards Addressed Essentials of Geometry 1. What are points, lines, and planes? 1. Identify Points, Lines, and Planes 1. Observation
More informationNEW YORK GEOMETRY TABLE OF CONTENTS
NEW YORK GEOMETRY TABLE OF CONTENTS CHAPTER 1 POINTS, LINES, & PLANES {G.G.21, G.G.27} TOPIC A: Concepts Relating to Points, Lines, and Planes PART 1: Basic Concepts and Definitions...1 PART 2: Concepts
More informationAnswer Key: Three-Dimensional Cross Sections
Geometry A Unit Answer Key: Three-Dimensional Cross Sections Name Date Objectives In this lesson, you will: visualize three-dimensional objects from different perspectives be able to create a projection
More informationIntroduction to Geometry
Introduction to Geometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (211 topics + 6 additional topics)
More informationa triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;
More informationCurriki Geometry Glossary
Curriki Geometry Glossary The following terms are used throughout the Curriki Geometry projects and represent the core vocabulary and concepts that students should know to meet Common Core State Standards.
More informationPearson Mathematics Geometry
A Correlation of Pearson Mathematics Geometry Indiana 2017 To the INDIANA ACADEMIC STANDARDS Mathematics (2014) Geometry The following shows where all of the standards that are part of the Indiana Mathematics
More informationUnit Number of Days Dates. 1 Angles, Lines and Shapes 14 8/2 8/ Reasoning and Proof with Lines and Angles 14 8/22 9/9
8 th Grade Geometry Curriculum Map Overview 2016-2017 Unit Number of Days Dates 1 Angles, Lines and Shapes 14 8/2 8/19 2 - Reasoning and Proof with Lines and Angles 14 8/22 9/9 3 - Congruence Transformations
More informationCourse: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days
Geometry Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Suggested
More informationPerimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
More informationalgebraic representation algorithm alternate interior angles altitude analytical geometry x x x analytical proof x x angle
Words PS R Comm CR Geo R Proof Trans Coor Catogoriers Key AA triangle similarity Constructed Response AAA triangle similarity Problem Solving AAS triangle congruence Resoning abscissa Communication absolute
More informationLog1 Contest Round 2 Theta Circles, Parabolas and Polygons. 4 points each
Name: Units do not have to be included. 016 017 Log1 Contest Round Theta Circles, Parabolas and Polygons 4 points each 1 Find the value of x given that 8 x 30 Find the area of a triangle given that it
More informationTOURNAMENT OF THE TOWNS, Glossary
TOURNAMENT OF THE TOWNS, 2003 2004 Glossary Absolute value The size of a number with its + or sign removed. The absolute value of 3.2 is 3.2, the absolute value of +4.6 is 4.6. We write this: 3.2 = 3.2
More informationHigh School Geometry
High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationHigh School Geometry
High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationCourse: Geometry Year: Teacher(s): various
Course: Geometry Year: 2015-2016 Teacher(s): various Unit 1: Coordinates and Transformations Standards Essential Questions Enduring Understandings G-CO.1. Know 1) How is coordinate Geometric precise definitions
More informationMANHATTAN HUNTER SCIENCE HIGH SCHOOL GEOMETRY CURRICULUM
COORDINATE Geometry Plotting points on the coordinate plane. Using the Distance Formula: Investigate, and apply the Pythagorean Theorem as it relates to the distance formula. (G.GPE.7, 8.G.B.7, 8.G.B.8)
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More informationAldine ISD Benchmark Targets /Geometry SUMMER 2004
ASSURANCES: By the end of Geometry, the student will be able to: 1. Use properties of triangles and quadrilaterals to solve problems. 2. Identify, classify, and draw two and three-dimensional objects (prisms,
More informationMadison County Schools Suggested Geometry Pacing Guide,
Madison County Schools Suggested Geometry Pacing Guide, 2016 2017 Domain Abbreviation Congruence G-CO Similarity, Right Triangles, and Trigonometry G-SRT Modeling with Geometry *G-MG Geometric Measurement
More informationGeometry Geometry Grade Grade Grade
Grade Grade Grade 6.G.1 Find the area of right triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the
More informationHonors Geometry Pacing Guide Honors Geometry Pacing First Nine Weeks
Unit Topic To recognize points, lines and planes. To be able to recognize and measure segments and angles. To classify angles and name the parts of a degree To recognize collinearity and betweenness of
More informationAcknowledgement: Scott, Foresman. Geometry. SIMILAR TRIANGLES. 1. Definition: A ratio represents the comparison of two quantities.
1 cknowledgement: Scott, Foresman. Geometry. SIMILR TRINGLS 1. efinition: ratio represents the comparison of two quantities. In figure, ratio of blue squares to white squares is 3 : 5 2. efinition: proportion
More informationIndex COPYRIGHTED MATERIAL. Symbols & Numerics
Symbols & Numerics. (dot) character, point representation, 37 symbol, perpendicular lines, 54 // (double forward slash) symbol, parallel lines, 54, 60 : (colon) character, ratio of quantity representation
More informationGeometry. Geometry. Domain Cluster Standard. Congruence (G CO)
Domain Cluster Standard 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More informationNorthern York County School District Curriculum
Course Name Keystone Geometry (1.03 / 1.06 / 1.10) Grade Level Grade 10 Northern York County School District Curriculum Module Instructional Procedures Module 1: Geometric Properties and Reasoning Course
More informationCORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)
CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications
More informationPrime Time (Factors and Multiples)
CONFIDENCE LEVEL: Prime Time Knowledge Map for 6 th Grade Math Prime Time (Factors and Multiples). A factor is a whole numbers that is multiplied by another whole number to get a product. (Ex: x 5 = ;
More informationAchievement Level Descriptors Geometry
Achievement Level Descriptors Geometry ALD Stard Level 2 Level 3 Level 4 Level 5 Policy MAFS Students at this level demonstrate a below satisfactory level of success with the challenging Students at this
More informationStandards to Topics. Common Core State Standards 2010 Geometry
Standards to Topics G-CO.01 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More informationPearson Mathematics Geometry Common Core 2015
A Correlation of Pearson Mathematics Geometry Common Core 2015 to the Common Core State Standards for Bid Category 13-040-10 A Correlation of Pearson, Common Core Pearson Geometry Congruence G-CO Experiment
More informationHigh School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics
High School Geometry Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics Standard 5 : Graphical Representations = ALEKS course topic that addresses
More informationGeometry Mathematics. Grade(s) 10th - 12th, Duration 1 Year, 1 Credit Required Course
Scope And Sequence Timeframe Unit Instructional Topics 9 Week(s) 9 Week(s) 9 Week(s) Geometric Structure Measurement Similarity Course Overview GENERAL DESCRIPTION: In this course the student will become
More informationDefinition / Postulates / Theorems Checklist
3 undefined terms: point, line, plane Definition / Postulates / Theorems Checklist Section Definition Postulate Theorem 1.2 Space Collinear Non-collinear Coplanar Non-coplanar Intersection 1.3 Segment
More informationGeometry Definitions and Theorems. Chapter 9. Definitions and Important Terms & Facts
Geometry Definitions and Theorems Chapter 9 Definitions and Important Terms & Facts A circle is the set of points in a plane at a given distance from a given point in that plane. The given point is the
More informationGeometry. Cluster: Experiment with transformations in the plane. G.CO.1 G.CO.2. Common Core Institute
Geometry Cluster: Experiment with transformations in the plane. G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of
More informationCommon Core Specifications for Geometry
1 Common Core Specifications for Geometry Examples of how to read the red references: Congruence (G-Co) 2-03 indicates this spec is implemented in Unit 3, Lesson 2. IDT_C indicates that this spec is implemented
More informationa) 1/3 area of triangle ABC b) 3.6 c) 3 d) e) Euclid s fifth postulate is equivalent to: Given a line and a point not on that line
1. Given is a right triangle with AD a perpendicular from the right angle to the hypotenuse, find the length of AD given AB = 6, BC = 10 and AC = 8. B D A C a) 7.5 b) 6.5 c) 4.8 d) e) 2. Using the figure
More informationElementary Planar Geometry
Elementary Planar Geometry What is a geometric solid? It is the part of space occupied by a physical object. A geometric solid is separated from the surrounding space by a surface. A part of the surface
More informationAppendix. Correlation to the High School Geometry Standards of the Common Core State Standards for Mathematics
Appendix Correlation to the High School Geometry Standards of the Common Core State Standards for Mathematics The correlation shows how the activities in Exploring Geometry with The Geometer s Sketchpad
More information2 Formula (given): Volume of a Pyramid V = 1/3 BH What does B represent? Formula: Area of a Trapezoid. 3 Centroid. 4 Midsegment of a triangle
1 Formula: Area of a Trapezoid 2 Formula (given): Volume of a Pyramid V = 1/3 BH What does B represent? 3 Centroid 4 Midsegment of a triangle 5 Slope formula 6 Point Slope Form of Linear Equation *can
More informationGeometry Curriculum Guide Lunenburg County Public Schools June 2014
Marking Period: 1 Days: 4 Reporting Category/Strand: Reasoning, Lines, and Transformations SOL G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises
More informationTexas High School Geometry
Texas High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More informationGeometry/Pre AP Geometry Common Core Standards
1st Nine Weeks Transformations Transformations *Rotations *Dilation (of figures and lines) *Translation *Flip G.CO.1 Experiment with transformations in the plane. Know precise definitions of angle, circle,
More informationSouth Carolina College- and Career-Ready (SCCCR) Geometry Overview
South Carolina College- and Career-Ready (SCCCR) Geometry Overview In South Carolina College- and Career-Ready (SCCCR) Geometry, students build on the conceptual knowledge and skills they mastered in previous
More informationCorrelation of Discovering Geometry 5th Edition to Florida State Standards
Correlation of 5th Edition to Florida State s MAFS content is listed under three headings: Introduced (I), Developed (D), and Applied (A). Developed standards are the focus of the lesson, and are being
More informationChapter 1. acute angle (A), (G) An angle whose measure is greater than 0 and less than 90.
hapter 1 acute angle (), (G) n angle whose measure is greater than 0 and less than 90. adjacent angles (), (G), (2T) Two coplanar angles that share a common vertex and a common side but have no common
More informationCourse: Geometry PAP Prosper ISD Course Map Grade Level: Estimated Time Frame 6-7 Block Days. Unit Title
Unit Title Unit 1: Geometric Structure Estimated Time Frame 6-7 Block 1 st 9 weeks Description of What Students will Focus on on the terms and statements that are the basis for geometry. able to use terms
More informationShortcuts, Formulas & Tips
& present Shortcuts, Formulas & Tips For MBA, Banking, Civil Services & Other Entrance Examinations Vol. 3: Geometry Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles
More informationMathematics Standards for High School Geometry
Mathematics Standards for High School Geometry Geometry is a course required for graduation and course is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout
More informationRussell County Pacing Guide
August Experiment with transformations in the plane. 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance
More informationAgile Mind Geometry Scope and Sequence, Common Core State Standards for Mathematics
Students began their study of geometric concepts in middle school mathematics. They studied area, surface area, and volume and informally investigated lines, angles, and triangles. Students in middle school
More informationGeometry Foundations Planning Document
Geometry Foundations Planning Document Unit 1: Chromatic Numbers Unit Overview A variety of topics allows students to begin the year successfully, review basic fundamentals, develop cooperative learning
More informationGEOMETRY CURRICULUM MAP
2017-2018 MATHEMATICS GEOMETRY CURRICULUM MAP Department of Curriculum and Instruction RCCSD Congruence Understand congruence in terms of rigid motions Prove geometric theorems Common Core Major Emphasis
More informationUnit 1: Tools of Geometry
Unit 1: Tools of Geometry Geometry CP Pacing Guide First Nine Weeks Tennessee State Math Standards Know precise definitions of angle, circle, perpendicular line, parallel G.CO.A.1 line, and line segment,
More informationUNIT 5 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 5
UNIT 5 GEOMETRY TEMPLATE CREATED BY REGION 1 ESA UNIT 5 Geometry Unit 5 Overview: Circles With and Without Coordinates In this unit, students prove basic theorems about circles, with particular attention
More information, y 2. ), then PQ = - y 1 ) 2. x 1 + x 2
Tools of Geometry Chapter 1 Undefined Terms (p. 5) A point is a location. It has neither shape nor size. A line is made up of points and has no thickness or width. A plane is a flat surface made up of
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Geometry Honors is a full year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The course focuses on the skills and
More informationYEAR AT A GLANCE Student Learning Outcomes by Marking Period
2014-2015 Term 1 Overarching/general themes: Tools to Build and Analyze Points, Lines and Angles Dates Textual References To Demonstrate Proficiency by the End of the Term Students Will : Marking Period
More informationTriangles. Leg = s. Hypotenuse = s 2
Honors Geometry Second Semester Final Review This review is designed to give the student a BASIC outline of what needs to be reviewed for the second semester final exam in Honors Geometry. It is up to
More informationK-12 Geometry Standards
Geometry K.G Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1. Describe objects in the environment using names of shapes, and describe
More informationHS Geometry Mathematics CC
Course Description This course involves the integration of logical reasoning and spatial visualization skills. It includes a study of deductive proofs and applications from Algebra, an intense study of
More informationOhio s Learning Standards-Extended. Mathematics. Congruence Standards Complexity a Complexity b Complexity c
Ohio s Learning Standards-Extended Mathematics Congruence Standards Complexity a Complexity b Complexity c Most Complex Least Complex Experiment with transformations in the plane G.CO.1 Know precise definitions
More information, Geometry, Quarter 1
2017.18, Geometry, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency 1.
More informationTheorems & Postulates Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 30-60 -90 Triangle In a 30-60 -90 triangle, the length of the hypotenuse is two times the length of the shorter leg, and the length of the longer leg is the length
More informationAccelerated Geometry: Course Level: 10th or 11th grade (students who have not had Geomtery I) Course Code: MA?? Course Length: ( Pre-requisite
Accelerated Geometry: Course Level: 10 th or 11 th grade (students who have not had Geomtery I) Course Code: MA?? Course Length: (1 semester) Pre-requisite: Algebra I (MA113/123) Description: This accelerated
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationGeometry GEOMETRY. Congruence
Geometry Geometry builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometry-based applications, many of which are observable in aspects of everyday life.
More informationGeometry Vocabulary. Name Class
Geometry Vocabulary Name Class Definition/Description Symbol/Sketch 1 point An exact location in space. In two dimensions, an ordered pair specifies a point in a coordinate plane: (x,y) 2 line 3a line
More informationTest #1: Chapters 1, 2, 3 Test #2: Chapters 4, 7, 9 Test #3: Chapters 5, 6, 8 Test #4: Chapters 10, 11, 12
Progress Assessments When the standards in each grouping are taught completely the students should take the assessment. Each assessment should be given within 3 days of completing the assigned chapters.
More informationMathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of
More informationCommon Core Cluster. Experiment with transformations in the plane. Unpacking What does this standard mean that a student will know and be able to do?
Congruence G.CO Experiment with transformations in the plane. G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,
More informationWest Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12
West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12 Unit 1: Basics of Geometry Content Area: Mathematics Course & Grade Level: Basic Geometry, 9 12 Summary and Rationale This unit
More informationThe School District of Palm Beach County GEOMETRY HONORS Unit A: Essentials of Geometry
MAFS.912.G-CO.1.1 MAFS.912.G-CO.4.12 MAFS.912.G-GPE.2.7 MAFS.912.G-MG.1.1 Unit A: Essentials of Mathematics Florida Know precise definitions of angle, circle, perpendicular line, parallel line, and line
More informationUnit 10 Circles 10-1 Properties of Circles Circle - the set of all points equidistant from the center of a circle. Chord - A line segment with
Unit 10 Circles 10-1 Properties of Circles Circle - the set of all points equidistant from the center of a circle. Chord - A line segment with endpoints on the circle. Diameter - A chord which passes through
More informationMCPS Geometry Pacing Guide Jennifer Mcghee
Units to be covered 1 st Semester: Units to be covered 2 nd Semester: Tools of Geometry; Logic; Constructions; Parallel and Perpendicular Lines; Relationships within Triangles; Similarity of Triangles
More informationThe radius for a regular polygon is the same as the radius of the circumscribed circle.
Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.
More informationGeometry Syllabus Holt McDougal Geometry (Aligned with SCCCR Standards) Ridgeland Hardeeville High School
Geometry Syllabus 2016-2017 Holt McDougal Geometry (Aligned with SCCCR Standards) Ridgeland Hardeeville High School TOPIC SCCCR STANDARD DAYS REQUIRED BASICS OF GEOMETRY: About points, lines, planes angles
More informationDefinition / Postulates / Theorems Checklist
3 undefined terms: point, line, plane Definition / Postulates / Theorems Checklist Section Definition Postulate Theorem 1.2 Space Collinear Non-collinear Coplanar Non-coplanar Intersection 1.3 Segment
More informationGEOMETRY Curriculum Overview
GEOMETRY Curriculum Overview Semester 1 Semester 2 Unit 1 ( 5 1/2 Weeks) Unit 2 Unit 3 (2 Weeks) Unit 4 (1 1/2 Weeks) Unit 5 (Semester Break Divides Unit) Unit 6 ( 2 Weeks) Unit 7 (7 Weeks) Lines and Angles,
More informationGeometry Common Core State Standard (CCSS) Math
= ntroduced R=Reinforced/Reviewed HGH SCHOOL GEOMETRY MATH STANDARDS 1 2 3 4 Congruence Experiment with transformations in the plane G.CO.1 Know precise definitions of angle, circle, perpendicular line,
More informationGanado Unified School District Geometry
Ganado Unified School District Geometry PACING Guide SY 2016-2017 Timeline & Resources 1st Quarter Unit 1 AZ & ELA Standards Essential Question Learning Goal Vocabulary CC.9-12.G.CO. Transformations and
More informationBMGM-2 BMGM-3 BMGM-1 BMGM-7 BMGM-6 BMGM-5 BMGM-8 BMGM-9 BMGM-10 BMGM-11 DXGM-7 DXGM-23 BMGM-12 BMGM-13 BMGM-14 BMGM-15 BMGM-16 DXGM-9
Objective Code Advance BMGM-2 BMGM-3 BMGM-1 BMGM-7 BMGM-6 BMGM-5 BMGM-8 BMGM-9 BMGM-10 BMGM-11 DXGM-7 DXGM-8 BMGM-12 BMGM-13 BMGM-14 BMGM-15 BMGM-16 DXGM-9 DXGM-10 DXGM-11 DXGM-15 DXGM-17 DXGM-16 DXGM-18
More informationPASS. 5.2.b Use transformations (reflection, rotation, translation) on geometric figures to solve problems within coordinate geometry.
Geometry Name Oklahoma cademic tandards for Oklahoma P PRCC odel Content Frameworks Current ajor Curriculum Topics G.CO.01 Experiment with transformations in the plane. Know precise definitions of angle,
More informationAgile Mind CCSS Geometry Scope & Sequence
Geometric structure 1: Using inductive reasoning and conjectures 2: Rigid transformations 3: Transformations and coordinate geometry 8 blocks G-CO.01 (Know precise definitions of angle, circle, perpendicular
More informationCURRICULUM GUIDE. Honors Geometry
CURRICULUM GUIDE Honors Geometry This level of Geometry is approached at an accelerated pace. Topics of postulates, theorems and proofs are discussed both traditionally and with a discovery approach. The
More informationBeal City High School Geometry Curriculum and Alignment
Beal City High School Geometry Curriculum and Alignment UNIT 1 Geometry Basics (Chapter 1) 1. Points, lines and planes (1-1, 1-2) 2. Axioms (postulates), theorems, definitions (Ch 1) 3. Angles (1-3) 4.
More informationThe School District of Palm Beach County GEOMETRY HONORS Unit A: Essentials of Geometry
Unit A: Essentials of G CO Congruence G GPE Expressing Geometric Properties with Equations G MG Modeling G GMD Measurement & Dimension MAFS.912.G CO.1.1 MAFS.912.G CO.4.12 MAFS.912.G GPE.2.7 MAFS.912.G
More informationIf two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence
Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those
More information