CURRICULUM GUIDE. Honors Geometry


 Ruth Wilkins
 9 months ago
 Views:
Transcription
1 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 usual topics and properties of triangles, polygons, congruency, and similarity are analyzed both geometrically and algebraically. Advanced topics include threedimensional figures and trigonometry. Prerequisites: C+ or better in Honors Algebra 1 and approval by current instructor. Saint Patrick High School Author: Dan Kohl
2 HONORS GEOMETRY CURRICULUM TIMELINE First Quarter Chapter 1 Introduction To Geometry Chapter 2 Basic Concepts And Proofs Chapter 3 Congruent Triangles Second Quarter Chapter 4 Lines In The Plane Chapter 5 Parallel Lines And Related Figures Chapter 6 Lines And Planes In Space Third Quarter Chapter 7 Polygons Chapter 8 Similar Polygons Chapter 9 The Pythagorean Theorem Fourth Quarter Chapter 10 Circles Chapter 11 Area Chapter 12 Surface Area And Volume Chapter 13 Coordinate Geometry Extended (time permitting) Required Materials Course Textbook: Geometry for Enjoyment and Challenge (On loan from St. Rhoad, Milauskas, and Whipple Patrick) ( McDougal Littell, 1991) Scientific calculator, straight edge, pencil, colored pens or pencils, three 70 page notebooks or loose leaf paper for homework and notes, thirty sheets of loose leaf paper for quizzes
3 COMMON CORE STATE STANDARDS Addressed 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 around a circular arc. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment s endpoints. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 ; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
4 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, 3) lies on the circle centered at the origin and containing the point (0, 2). Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). Find the point on a directed line segment between two given points that partitions the segment in a given ratio. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
5 Chapter 1 Introduction to Geometry Recognize points, lines, segments, rays, angles, and triangles Measure segments and angles Classify angles and name the parts of a degree Recognize congruent angles and segments Recognize collinear and non collinear points Recognize when a point is between two other points Apply the triangleinequality principle Correctly interpret geometric diagrams Write simple twocolumn proofs Identify bisectors and trisectors of lines segments and angles Write paragraph proofs Recognize that geometry is based on a deductive structure Identify undefined terms, postulates, and definitions Understand the characteristics and application of theorems Recognize conditional statements and the negation, the converse, the inverse, and the contrapositive of a statement Use the chain rule to draw conclusions Solve probability problems
6 Chapter 2 Basic Concepts and Proofs Recognize the need for clarity and concision in proofs Understand the concept of perpendicularity Recognize complementary and supplementary angles Follow a fivestep procedure to draw logical conclusions Prove angles congruent by means of four new theorems Apply the addition properties of segments and angles Apply the subtraction properties of segments and angles Apply the multiplication and division properties of segments and angles Apply the transitive properties of angles and segments Apply the Substitution Property Recognize opposite rays Recognize vertical angles
7 Chapter 3 Congruent Triangles Understand the concept of congruent figures Accurately identify the corresponding parts of congruent figures Identify included angles and included sides Apply the SSS postulate Apply the SAS postulate Apply the ASA postulate Apply the principle of CPCTC Recognize some basic properties of circles Apply the formulas for the area and the circumference of a circle Identify medians of a triangle Identify altitudes of a triangle Understand why auxiliary lines are used in some proofs Write proofs involving steps beyond CPCTC Use overlapping triangles in proofs Name various types of triangles and their parts Apply theorems relating the angle measures and side lengths of triangles Use the HL postulate to prove right triangles congruent
8 Chapter 4 Lines in the Plane Use detours in proofs Apply the midpoint formula Organize the information in, and draw diagrams for, problems presented in words Apply one way of proving that two angles are right angles Recognize the relationship between equidistance and perpendicular bisection Recognize planes Recognize transversals Identify the pairs of angles formed by a transversal Recognize parallel lines Understand the concept of slope Relate the slope of a line to its orientation in the coordinate plane Recognize the relationships between slopes of parallel and perpendicular lines
9 Chapter 5 Parallel Lines and Related Figures Write indirect proofs Apply the Exterior Angle Inequality Theorem Use various methods to prove lines parallel Apply the Parallel Postulate Identify the pairs of angles formed by a transversal cutting parallel lines Apply six theorems about parallel lines Solve crook problems Recognize polygons Understand how polygons are named Recognize convex polygons Recognize diagonals of polygons Identify special types of quadrilaterals Identify some properties of parallelograms, rectangles, kites, rhombuses, squares, and isosceles trapezoids Prove that a quadrilateral is a parallelogram Prove that a quadrilateral is a rectangle Prove that a quadrilateral is a kite Prove that a quadrilateral is a rhombus Prove that a quadrilateral is a square Prove that a quadrilateral is an isosceles trapezoid
10 Chapter 6 Lines and Planes in Space Understand the basic concept relating to planes Identify four methods of determining a plane Apply two postulates concerning lines and planes Recognize when a line is perpendicular to a plane Apply the basic theorem concerning the perpendicularity of a line and a plane Recognize line parallel to planes, parallel planes, and skew lines Use properties relating parallel lines and planes
11 Chapter 7 Polygons Apply theorems about the interior angles, the exterior angles, and midlines of a triangle Apply the NoChoice Theorem and the AAS theorem Use some important formulas that apply to polygons Recognize regular polygons Use a formula to find the measure of an exterior angle of an equiangular triangle
12 Chapter 8 Similar Polygons Recognize and work with ratios Recognize and work with proportions Apply the product and ratio theorems Calculate geometric means Identify the characteristics of similar figures Use several methods to prove that triangles are similar Use the concept of similarity to establish the congruence of angles and the proportionality of segments Solve shadow problems Apply three theorems frequently used to establish proportionality
13 Chapter 9 The Pythagorean Theorem Simplify radical expressions and solve quadratic equations Begin problems involving circles Identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse Use the Pythagorean Theorem and its converse Use the distance formula to compute lengths of segments in the coordinate plane Recognize groups of whole numbers known as Pythagorean triples Apply the principle of Reduced Triangles Identify the ratio of the side lengths in a triangle Identify the ratio of the side lengths in a triangle Apply the Pythagorean Theorem to solid figures Understand three basic trigonometric relationships Use trigonometric ratios to solve right triangles
14 Chapter 10 Circles Identify the characteristics of circles, chords, and diameters Recognize special relationships between radii and chords Apply the relationship between congruent chords of a circle Identify different types of arcs, determine the measure of an arc, and recognize congruent arcs Relate congruent arcs, chords, and central angles Identify secant and tangent lines and segments Distinguish between two types of tangent circles Recognize common internal and common external tangents Determine the measures of central, inscribed, tangentchord, chordchord, secantsecant, secanttangent, and tangenttangent angles Recognize congruent inscribed and tangent chord angles Determine the measure of an angle inscribed in a semicircle Apply the relationship between the measures of a tangenttangent angle and its minor arc Recognize inscribed and circumscribed polygons Apply the relationship between opposite angles of an inscribed quadrilateral Identify the characteristics of an inscribed parallelogram Apply the three power theorems Determine circle circumference and arc length
15 Chapter 11 Area Understand the concept of area Find the areas of rectangles and squares Use the basic properties of area Find the areas of parallelograms Find the areas of triangles Find the areas of trapezoids Use the measure of a trapezoid s median to find its area Find the areas of kites Find the areas of equilateral triangles Find the areas of other regular polygons Find the areas of circles Find the areas of sectors Find the areas of segments Find the ratios of areas by calculating and comparing areas Find the ratios of areas by applying properties of similar figures Find the areas of figures using Hero s formula and Brahmagupta s formula
16 Chapter 12 Find the surface areas of prisms Find the surface areas of pyramids Find the surface areas of circular solids Surface Area and Volume Find the volumes of right triangular prisms Find the volumes of other prisms Find the volumes of cylinders Use the area of a prism s or cylinder s cross section to find the solid s volume Find the volumes of pyramids Find the volumes of cones Solve problems involving cross sections of pyramids and cones Find the volumes of spheres
17
Carnegie 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 informationAssignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines
Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 438 even, 4458 even 27 1.2 Use Segments and Congruence 12 #436 even, 3745 all 26 1.3 Use Midpoint
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 informationGEOMETRY CURRICULUM MAP
20172018 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 informationDoverSherborn High School Mathematics Curriculum Geometry Level 1/CP
Mathematics Curriculum A. DESCRIPTION This is the traditional geometry course with emphasis on the student s understanding of the characteristics and properties of two and threedimensional geometry.
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 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 informationCORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 912)
CORRELATION TO GEORGIA (GRADES 912) 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 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 informationRef: GIS Math G 9 C.D
Ref: GIS Math G 9 C.D. 20152016 20112012 SUBJECT : Math TITLE OF COURSE : Geometry GRADE LEVEL : 9 DURATION : ONE YEAR NUMBER OF CREDITS : 1.25 Goals: Congruence GCO Experiment with transformations
More informationUnit Activity Correlations to Common Core State Standards. Geometry. Table of Contents. Geometry 1 Statistics and Probability 8
Unit Activity Correlations to Common Core State Standards Geometry Table of Contents Geometry 1 Statistics and Probability 8 Geometry Experiment with transformations in the plane 1. Know precise definitions
More information3 Identify shapes as twodimensional (lying in a plane, flat ) or threedimensional ( 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 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 informationCurriculum Catalog
20172018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents GEOMETRY COURSE OVERVIEW...1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 1 UNIT 3: ANGLES AND PARALLELS... 2 UNIT 4: CONGRUENT TRIANGLES
More informationThis image cannot currently be displayed. Course Catalog. Geometry Glynlyon, Inc.
This image cannot currently be displayed. Course Catalog Geometry 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 1 UNIT 3: ANGLES AND PARALLELS...
More informationGeometry Curriculum Guide Dunmore School District Dunmore, PA
Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content
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 information2003/2010 ACOS MATHEMATICS CONTENT CORRELATION GEOMETRY 2003 ACOS 2010 ACOS
CURRENT ALABAMA CONTENT PLACEMENT G.1 Determine the equation of a line parallel or perpendicular to a second line through a given point. G.2 Justify theorems related to pairs of angles, including angles
More informationGeometry GEOMETRY. Congruence
Geometry Geometry builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometrybased applications, many of which are observable in aspects of everyday life.
More informationHoughton Mifflin Harcourt Geometry 2015 correlated to the New York Common Core Learning Standards for Mathematics Geometry
Houghton Mifflin Harcourt Geometry 2015 correlated to the New York Common Core Learning Standards for Mathematics Geometry Standards for Mathematical Practice SMP.1 Make sense of problems and persevere
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 GCO.01 (Know precise definitions of angle, circle, perpendicular
More informationDefinition / Postulates / Theorems Checklist
3 undefined terms: point, line, plane Definition / Postulates / Theorems Checklist Section Definition Postulate Theorem 1.2 Space Collinear Noncollinear Coplanar Noncoplanar Intersection 1.3 Segment
More informationJOHN F. KENNEDY HIGH SCHOOL GEOMETRY COURSE SYLLABUS DEPARTMENT OF MATHEMATICS
JOHN F. KENNEDY HIGH SCHOOL GEOMETRY COURSE SYLLABUS DEPARTMENT OF MATHEMATICS 1. COURSE NUMBER, TITLE, UNITS AND PRINCIPAL/DEPARTMENT APPROVED DESCRIPTION MGS25214 GEOMETRY PL/S 10.0 UNITS According
More informationPearson Geometry Common Core 2015
A Correlation of Geometry Common Core to the Common Core State Standards for Mathematics High School , Introduction This document demonstrates how meets the Mathematics High School, PARRC Model Content
More informationFLORIDA GEOMETRY EOC TOOLKIT
FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry EndofCourse Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 9780740695650 MA.912.D.6.2 Find the converse,
More informationMathematics High School Geometry
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 informationThomas Jefferson High School for Science and Technology Program of Studies TJ Math 1
Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 111 Through any two points there is exactly one line. Post. 112 Through any three noncollinear points there is exactly one plane containing them. Post. 113 If two points lie in a
More informationMATHia Unit MATHia Workspace Overview TEKS
1 Tools of Geometry Lines, Rays, Segments, and Angles Distances on the Coordinate Plane Parallel and Perpendicular Lines Angle Properties Naming Lines, Rays, Segments, and Angles Working with Measures
More informationPre AP Geometry. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry
Pre AP Geometry Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry 1 The content of the mathematics standards is intended to support the following five goals for students: becoming
More informationGeometry. Geometry. No Louisiana Connectors written for this standard.
GM: GCO.A.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 around a
More informationInfinite Geometry supports the teaching of the Common Core State Standards listed below.
Infinite Geometry Kuta Software LLC Common Core Alignment Software version 2.05 Last revised July 2015 Infinite Geometry supports the teaching of the Common Core State Standards listed below. High School
More informationCommon Core Standards Curriculum Map  Geometry Quarter One. Unit One  Geometric Foundations, Constructions and Relationships (24 days/12 blocks)
Common Core Standards Curriculum Map  Geometry Quarter One Unit One  Geometric Foundations, Constructions and Relationships (24 days/12 blocks) Experiment with transformations in the plane. G.CO.1. Know
More informationCOURSE OBJECTIVES LIST: GEOMETRY
COURSE OBJECTIVES LIST: GEOMETRY Geometry Honors is offered. PREREQUISITES: All skills from Algebra I are assumed. A prerequisites test is given during the first week of class to assess knowledge of these
More informationHigh School Geometry
High School Geometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the
More informationNAEP Released Items Aligned to the Iowa Core: Geometry
NAEP Released Items Aligned to the Iowa Core: Geometry Congruence GCO Experiment with transformations in the plane 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and
More informationGeometry Skills. Topic Outline. Course Description and Philosophy
Geometry Skills Topic Outline Course Description and Philosophy Geometry Skills is the second course in the 3year skills sequence, following Algebra Skills, and preceding Algebra II Skills. This course
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 informationAmarillo ISD Math Curriculum
Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board
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 informationAgile Mind CCSS Geometry Scope & Sequence
Geometric structure 1: Using inductive reasoning and conjectures 8 blocks GCO.01 (Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined
More informationA VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY. Texas Education Agency
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Texas Education Agency The materials are copyrighted (c) and trademarked (tm) as the property of the Texas Education Agency (TEA) and may not be
More informationMaryland Geometry UNIT 1: FOUNDATIONS OF GEOMETRY. Core
Core Geometry builds upon students' command of geometric relationships and formulating mathematical arguments. Students learn through discovery and application, developing the skills they need to break
More informationTEACHER CERTIFICATION STUDY GUIDE KNOWLEDGE OF MATHEMATICS THROUGH SOLVING...1
TABLE OF CONTENTS COMPETENCY/SKILLS PG # COMPETENCY 1 KNOWLEDGE OF MATHEMATICS THROUGH PROBLEM SOLVING...1 Skill 1.1 Skill 1.2 Skill 1.3 Skill 1.4 Identify appropriate mathematical problems from realworld
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 20162017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
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 informationLast Edit Page 1
G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the oneand twodimensional coordinate systems to
More informationVerona Public School District Curriculum Overview Geometry
Verona Public School District Curriculum Overview Curriculum Committee Members: Jennifer Errico Danielle Pico Supervisor: Glen Stevenson Curriculum Developed: 2015 16 Board Approval Date: Verona Public
More informationGeometry Cheat Sheet
Geometry Cheat Sheet Chapter 1 Postulate 16 Segment Addition Postulate  If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC. Postulate 17 Angle Addition Postulate 
More informationGEOMETRY STANDARDS. August 2009 Geometry 1
STANDARDS The DoDEA high school mathematics program centers around six courses which are grounded by rigorous standards. Two of the courses, AP Calculus and AP Statistics, are defined by a course syllabus
More informationGeometry ~ Unit 4
Title Quadrilaterals and Coordinate Proof CISD Safety Net Standards: G.5A Big Ideas/Enduring Understandings Module 9 Properties of quadrilaterals can be used to solve realworld problems. Suggested Time
More informationSection Congruence Through Constructions
Section 10.1  Congruence Through Constructions Definitions: Similar ( ) objects have the same shape but not necessarily the same size. Congruent ( =) objects have the same size as well as the same shape.
More informationPOTENTIAL REASONS: Definition of Congruence:
Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point
More informationGeometry. Geometry is one of the most important topics of Quantitative Aptitude section.
Geometry Geometry is one of the most important topics of Quantitative Aptitude section. Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles are always equal. If any
More informationGEOMETRY (COMMON CORE) FACTS YOU MUST KNOW COLD FOR THE REGENTS EXAM
GEOMETRY (COMMON CORE) FACTS YOU MUST KNOW COLD FOR THE REGENTS EXAM NYS Mathematics Regents Preparation Created by: Trevor Clark Geometry [Common Core] Regents Exam Study Guide Facts You Must Know Cold
More informationMath Handbook of Formulas, Processes and Tricks. Geometry
Math Handbook of Formulas, Processes and Tricks (www.mathguy.us) Prepared by: Earl L. Whitney, FSA, MAAA Version 3.1 October 3, 2017 Copyright 2010 2017, Earl Whitney, Reno NV. All Rights Reserved Handbook
More informationUNIT 1: FOUNDATIONS OF GEOMETRY
Prescriptive Geometry builds upon students' command of geometric relationships and formulating mathematical arguments. Students learn through discovery and application, developing the skills they need
More informationHomeSchoolMathOnline.com Geometry Course Checklist
HomeSchoolMathOnline.com Geometry Course Checklist Name Date Started Course Date Completed Course How To Upgrade Your Course Experience: With a TabletClass full course membership you will be able to work
More informationSOUTHERN REGIONAL SCHOOL DISTRICT MATHEMATICS CURRICULUM
SOUTHERN REGIONAL SCHOOL DISTRICT MATHEMATICS CURRICULUM Content Area: Mathematics Course Title: Geometry Grade Level: 10 Unit Plan 1 Introduction to Geometry, Angle Relationships, Constructions Pacing
More informationcoordinate Find the coordinates of the midpoint of a segment having the given endpoints. Big Ideas Geometry from one end of a line
G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one and twodimensional coordinate systems to
More informationGeometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #2732 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #114 All (5) Page
More informationGrade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
More informationChapter 1 Section 1 Points and Lines as Locations Synthetic Geometry
Chapter 1 Section 1 Points and Lines as Locations Synthetic Geometry A geometry studied without the use of coordinates. Coordinate The number or numbers associated with the location of a point on a line,
More informationUnit 3: Triangles and Polygons
Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following
More informationGeometry. PK Page 140 Pages Pages K Page 143 Page Page 145 Page Page 146 Page Page 147 Page 147
Geometry Standards Entry Points Access Skills PK Page 140 Pages 141 142 Pages 141 142 K Page 143 Page 144 1 Page 145 Page 145 2 Page 146 Page 146 3 Page 147 Page 147 4 Page 148 Page 148 5 Page 149 Page
More informationSegment Addition Postulate: If B is BETWEEN A and C, then AB + BC = AC. If AB + BC = AC, then B is BETWEEN A and C.
Ruler Postulate: The points on a line can be matched one to one with the REAL numbers. The REAL number that corresponds to a point is the COORDINATE of the point. The DISTANCE between points A and B, written
More informationUnderstand the concept of volume M.TE Build solids with unit cubes and state their volumes.
Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships  Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,
More informationEUCLID S GEOMETRY. Raymond Hoobler. January 27, 2008
EUCLID S GEOMETRY Raymond Hoobler January 27, 2008 Euclid rst codi ed the procedures and results of geometry, and he did such a good job that even today it is hard to improve on his presentation. He lived
More informationModeling with Geometry
Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs
More informationGeometry Practice. 1. Angles located next to one another sharing a common side are called angles.
Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.
More informationThe course is built to the National Council of Teachers of Mathematics (NCTM) standards and is aligned with state standards.
Literacy Advantage students acquire conceptual understanding of key geometric topics, work toward computational fluency, and expand their problemsolving skills. Course topics include reasoning, proof,
More informationINSIDE the circle. The angle is MADE BY. The angle EQUALS
ANGLES IN A CIRCLE The VERTEX is located At the CENTER of the circle. ON the circle. INSIDE the circle. OUTSIDE the circle. The angle is MADE BY Two Radii Two Chords, or A Chord and a Tangent, or A Chord
More informationFairfield Public Schools
Mathematics Fairfield Public Schools GEOMETRY 21 Geometry 21 BOE Approved 05/21/2013 1 GEOMETRY 21 Critical Areas of Focus The fundamental purpose of the course in Geometry is to formalize and extend students
More informationFocus of this Unit: Connections to Subsequent Learning: Approximate Time Frame: 46 weeks Connections to Previous Learning:
Approximate Time Frame: 46 weeks Connections to Previous Learning: In Grade 8, students are introduced to the concepts of congruence and similarity through the use of physical models and dynamic geometry
More information1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd
Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second
More informationGeometry Quarter 4 Test Study Guide
Geometry Quarter 4 Test Study Guide 1. Write the ifthen form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationLesson 9: Coordinate Proof  Quadrilaterals Learning Targets
Lesson 9: Coordinate Proof  Quadrilaterals Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is twothirds of the way along each median
More informationAn Approach to Geometry (stolen in part from Moise and Downs: Geometry)
An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply
More informationKey Vocabulary Index. Key Vocabulary Index
Key Vocabulary Index Mathematical terms are best understood when you see them used and defined in context. This index lists where you will find key vocabulary. A full glossary is available in your Record
More informationForm 4 Syllabus Scheme B
Topic A revision of number work A revision of number work Indices Expressions: Expanding and Factorisation Form 4 Syllabus Scheme B Content 1. Directed Numbers 2. Factors and Multiples 3. Expressing a
More information1 William is drawing pictures of cross sections of the right circular cone below.
1 William is drawing pictures of cross sections of the right circular cone below. Which drawing can not be a cross section of a cone? 1) 2) 3) 4) 2 An equation of a line perpendicular to the line represented
More informationU4 Polygon Notes January 11, 2017 Unit 4: Polygons
Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle  a segment that connects the midpoints of two sides
More informationRatios and Proportions
Ratios and Proportions ( 71/81) 1 Proportions & Similarity 1.1 Ratios A ratio is a comparison of two numbers by way of division. Given two numbers a and b, such that b 0, the ratio of a to b is written
More informationYEAR 11 GCSE MATHS REVISION CHECKLIST HIGHER TIER
YEAR 11 GCSE MATHS REVISION CHECKLIST HIGHER TIER TOPICS ARE CATEGORISED VIA MATHS STRANDS NUMBER TOPICS 1 Number Grade 3 to 9 J K L 1.1 Number problems and Work out the total number of ways of performing
More informationLevel 1 Geometry Review Topics
Level 1 Geometry Review Topics Logic Ifthen, inverse, converse, and contrapositive Complementary and Supplementary Angles Vertical Angles Congruent Triangles ASA, SAS, SSS, AAS, HL, CPCTC Altitudes, Medians,
More informationSolve 3D problems using Pythagoras theorem and trigonometric ratios (A*) Solve more complex 2D problems using Pythagoras theorem & trigonometry (A)
Moving from A to A* Solve 3D problems using Pythagoras theorem and trigonometric ratios (A*) A* Use the sine & cosine rules to solve more complex problems involving non rightangled triangles (A*) Find
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 informationPrentice Hall. Prentice Hall Geometry, Florida Edition (Title ID: 1477) 2011 (Charles et al.) Grades 912
Prentice Hall Prentice Hall Geometry, Florida Edition (Title D: 1477) 2011 (Charles et al.) Grades 912 C O R R E L A T E D T O Geometry (Course Number 1206310; ntended Grade Level 912) CORRELATON
More informationMatija Gubec International School Zagreb MYP 0. Mathematics
Matija Gubec International School Zagreb MYP 0 Mathematics 1 MYP0: Mathematics Unit 1: Natural numbers Through the activities students will do their own research on history of Natural numbers. Students
More informationMATH DICTIONARY. Number Sense. Number Families. Operations. Counting (Natural) Numbers The numbers we say when we count. Example: {0, 1, 2, 3, 4 }
Number Sense Number Families MATH DICTIONARY Counting (Natural) Numbers The numbers we say when we count Example: {1, 2, 3, 4 } Whole Numbers The counting numbers plus zero Example: {0, 1, 2, 3, 4 } Positive
More informationMath Content
20132014 Math Content PATHWAY TO ALGEBRA I Hundreds and Tens Tens and Ones Comparing Whole Numbers Adding and Subtracting 10 and 100 Ten More, Ten Less Adding with Tens and Ones Subtracting with Tens
More informationfall08ge Geometry Regents Exam Test Sampler fall08 4 The diagram below shows the construction of the perpendicular bisector of AB.
fall08ge 1 Isosceles trapezoid ABCD has diagonals AC and BD. If AC = 5x + 13 and BD = 11x 5, what is the value of x? 1) 8 4 The diagram below shows the construction of the perpendicular bisector of AB.
More information2. The pentagon shown is regular. Name Geometry Semester 1 Review Guide Hints: (transformation unit)
Name Geometry Semester 1 Review Guide 1 20142015 1. Jen and Beth are graphing triangles on this coordinate grid. Beth graphed her triangle as shown. Jen must now graph the reflection of Beth s triangle
More informationLesson Polygons
Lesson 4.1  Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon  A polygon with ten sides. Dodecagon
More informationGeometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the ifthen form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationIllinois Math Assessment Framework, Grade 7. correlated to
Illinois Math Assessment Framework, Grade 7 correlated to Grade 7 correlated to Chapter 1 Variables, Expressions, and Integers (pp. 1 61) Lesson 1.1 (pp. 5 9) Expressions and Variables Evaluate and write
More informationUnit Lesson Plan: Measuring Length and Area: Area of shapes
Unit Lesson Plan: Measuring Length and Area: Area of shapes Day 1: Area of Square, Rectangles, and Parallelograms Day 2: Area of Triangles Trapezoids, Rhombuses, and Kites Day 3: Quiz over Area of those
More informationGeometry (# ) VERSION DESCRIPTION. This document was generated on CPALMS 
Geometry (#1206310) This document was generated on CPALMS  www.cpalms.org VERSION DESCRIPTION The fundamental purpose of the course in Geometry is to formalize and extend students' geometric experiences
More informationACT SparkNotes Test Prep: Plane Geometry
ACT SparkNotes Test Prep: Plane Geometry Plane Geometry Plane geometry problems account for 14 questions on the ACT Math Test that s almost a quarter of the questions on the Subject Test If you ve taken
More information