Honors Geometry Chapter 6 Tentative Syllabus
|
|
- Derick Anthony
- 5 years ago
- Views:
Transcription
1 Honors Geometry hapter 6 Tentative Syllabus YOU R XPT TO HK YOUR NSWRS FOR OMING TO LSS. Red ay Red ate lue ay lue ate Topic Homework (due next class period) Fri Nov 20 Mon Nov Tangent Properties 6.2 hord Properties In-class: 6.2 Wkbk p.40, # Wkbk: p.39, #1 6 p.320, #1 13, Tue Nov 24 Mon Nov rcs and ngles 6.4 Other ngles In-class: 6.3 Wkbk p.41 ircle ngle hase #1 (Notes p.20) p.327, #1 16, 22 24, 26 ircle ngle hase #2 & #3 (Notes p.21 and 22) Tue ec 1 Wed ec ircumference & iameter 6.6 round the World In-lass: 6.5 Wkbk p.43 p.337, #1 13 p.342, #2, 4, 6 Review for Final xam #1 ( U on exam day) Thurs ec 3 Fri ec rc Length In-class: 6.7 Wkbk p.45 p , 17 ircle ngle hase #4 (Notes p.23) Mon ec 7 Tue ec Indirect Proof Notes Review: hp 6 Practice Test p , 25 28, 31, 32, 35, 38, 46, 47, 52, 53, 62, 63 Wed ec 9 Thurs ec 10 hapter 6 Test Indirect Proof Practice Final xam Review #2 (ue day of Final xam) Fri ec 11 Mon ec 14 Final xam Review Study for Final xam Tue ec 15 Wed ec 16 njoy Winter reak! reated by W.L. ass and used with permission, p.1
2 Section Indiana Standard Learning Target Gl1 efine, identify, and use relationships among the following: radius, diameter, arc, measure of an arc, chord, secant, tangent, and congruent concentric circles. Gl3 Identify and describe relationships among inscribed angles, radii, and chords, including the following: the relationship exists between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; and the radius of a circle is perpendicular to a tangent where the radius intersects the circle. Gl6 onstruct a tangent line to a circle through a point on the circle, and construct a tangent line from a point outside a given circle to the circle; justify the process used for each construction. Review and use basic properties of a circle and circle vocabulary. iscover and use properties of tangents of circles. onstruct a tangent line (Investigation 2) iscover and use properties of chords in a circle. (p.322 #23) 6.3 Gl1 efine, identify, and use relationships among the following: radius, diameter, arc, measure of an arc, chord, secant, tangent, and congruent concentric circles. Gl4 Solve real-world and other mathematical problems that involve finding measures of circumference, areas of circles and sectors, and arc lengths and related angles (central, inscribed, and intersections of secants and tangents). 6.4 GLP4 evelop geometric proofs, including direct proofs, indirect proofs, proofs by contradiction and proofs involving coordinate geometry, using two-column, paragraphs, and flow charts formats. 6.5 Gl1 efine, identify, and use relationships among the following: radius, diameter, arc, measure of an arc, chord, secant, tangent, and congruent concentric circles. 6.6 Gl4 Solve real-world and other mathematical problems that involve finding measures of circumference, areas of circles and sectors, and arc lengths and related angles (central, inscribed, and intersections of secants and tangents). GQP5 educe formulas relating lengths and sides, perimeters, and areas of regular polygons. Understand how limiting cases of such formulas lead to expressions for the circumference and the area of a circle. 6.7 Gl4, Gl5 onstruct a circle that passes through three given points not on a line and justify the process used. iscover and use relationships between an inscribed angle of a circle and its intercepted arc. onstruct a cyclic quadrilateral. Know and use that the opposite angles of a cyclic quadrilateral are supplementary. (Investigation 4) Prove and use circle conjectures. alculate pi, the ratio of the circumference of a circle to its diameter. pply circle properties and the circumference of a circle to solve problems. (p.343 #9) iscover and use a formula for finding the length of an arc of a circle. (p.354 #24) reated by W.L. ass and used with permission, p.2
3 6.1 and 6.2 Notes Tangent and hord Properties ig ideas about TNGNTS! 1. tangent and a radius are perpendicular to each other at the point of tangency. Label the picture based on the property. 3. Recall: The measure of an arc is equal to the measure of its central angle. If m 115 then m = 4. Recall: ll the radii (plural of radius) are congruent to each other in a circle. Label the picture based on the property. 2. Tangent segments from the same point outside a circle are congruent. Label the picture based on the property. pply the tangent theorems ssume that lines that appear tangent are tangent x x 65 x x 106 x 83 x reated by W.L. ass and used with permission, p.3
4 7. One more application a.) Write an equation for the tangent line. Find slope of the radius Find slope of the tangent line (Hint: the radius and tangent are perpendicular) Use the point-slope formula to write the equation for the tangent line. y y m x x 1 1 Rewrite the equation in slope-intercept form b.) YOU TRY Write an equation for the tangent line. little more vocabulary Internally and xternally Tangent ircles are considered internally or externally tangent when they are to the same at the same. reated by W.L. ass and used with permission, p.4
5 ig ideas about HORS 1. VOULRY entral angle v. Inscribed ngle. entral ngle n angle that has its vertex on the of the circle Inscribed ngle n angle that has its vertex the circle N the sides of the angle are of the circle. Use the definitions above and the diagram at the below name the following K O N H U M H O R T entral ngles: Inscribed ngles: 2. If two chords in a circle are congruent, then their central angles are congruent. Use your compass to show GH raw in radii F, F, FG, FH F GFH by Therefore, F GFH by 3. If two chords in a circle are congruent, then their arcs are congruent. From the proof above in ig Idea #2, we saw that F GFH Recall: The measure of an arc is to the measure of its central angle. Therefore, if the central angles are congruent, then GH Label the picture based on the ig Ideas 2 & 3. F G H reated by W.L. ass and used with permission, p.5
6 4. The perpendicular from the center of a circle to a chord bisects the chord. onstruct a perpendicular from F to and label the intersection M. Use your compass to show M M onstruct a perpendicular from F to GH and label the intersection P Use your compass to show GP PH 5. If two chords in a circle are congruent, then they are equidistant from the center. Recall: istance from a point to line/segment must be measured on a line. Since we ve already constructed the perpendicular in ig Idea #4 Use your compass to show FM FP. Label the picture based on ig Ideas 4 & 5. F G H 6. The perpendicular bisector of a chord is also the diameter of the circle. onstruct the perpendicular bisector of NO Name the bisector m. onstruct the perpendicular bisector of PQ Name the bisector p. Label the intersection of m and p point F. Summary: oth and contain diameters of the circle. N Point is the of the circle! O P Q reated by W.L. ass and used with permission, p.6
7 6.3 Notes rcs and ngles Review/Warm-up Write the equation for the tangent line shown below. 6.3 IG IS! 1. VOULRY entral angle v. Inscribed ngle. entral ngle n angle that has its vertex on the of the circle Inscribed ngle n angle that has its vertex the circle N the sides of the angle are of the circle. 2. The measure of an inscribed angle is one-half the measure of its intercepted arc. Use a piece of patty paper to trace 2m N raw central angle OIP 2 m N to m I ompare Recall: The measure of an arc is to the measure of its central angle. Summary: mi 1 2 mi 2 mn Measure of Inscribed ngle = Measure of Intercepted rc = O N I P reated by W.L. ass and used with permission, p.7
8 3. Inscribed angles that intercept the same arc (or congruent arcs) are congruent. The intercepted arc for O is The intercepted arc for P is Use a piece of patty paper to show O P What about N and R? N R 4. Parallel lines (segments) intercept congruent arcs. If ST // WU, then SW Why? raw transversal SU. TSU WUS because Look again at ig Idea #3... ongruent rcs ongruent angles I S T O P W U 5. ngles inscribed in a semicircle are right angles. raw inscribed YWZ What s the measure of its intercepted arc? Therefore mw raw inscribed ZXY What s the measure of its intercepted arc? Therefore mz Y W Z What kind of triangles are YWZ and ZXY?. re they congruent to each other?. re they isosceles?. X reated by W.L. ass and used with permission, p.8
9 6. The opposite angles in a cyclic quadrilateral are supplementary. efinition: yclic quadrilateral N xamine mn m R What do you notice? Therefore I P N and are supplementary Use a piece of patty paper to trace mo m P O What do you notice? Therefore O and are supplementary R pply what you have learned Solve for the variable in each diagram. 1. x x 28 x x x y 8. y x x x Hint: Write the formula first (2x + 11) x (5x + 4) 208 (4x - 3) reated by W.L. ass and used with permission, p.9
10 h 6 xploration Other ngle Measures Match the conjecture to the appropriate diagram below then write an equation to find in marked angle. 1. Intersecting Secants onjecture: The measure of an angle formed by 2 secants that intersect the circle is 2. Intersecting hords onjecture: The measure of angle formed by 2 intersecting (or 2 secants intersecting inside) is 3. Tangent-Secant onjecture: The measure of an angle formed by an intersecting tangent and a secant to a circle is 4. Intersecting Tangents onjecture: The measure of angle formed by 2 intersecting to a circle is 5. Tangent hord onjecture: The measure of an angle formed by the intersection of a tangent and a chord at the point of tangency is. Z. T. 1 1 P S 1 T T reated by W.L. ass and used with permission, p.10
11 pply what you know 1. Finding ngle and rc Measures a.) Given: m = 54, mark this in the picture. b.) m = c.) Find the intercepted arc for and m = d.) Find the intercepted arc for and m = e.) What do you notice about and? 2. Finding the Measure of an ngle Formed by Two hords a.) Solve for x. b.) Solve for x. 24 x x is not the center! is not the center! reated by W.L. ass and used with permission, p.11
12 3. Finding angles and arcs when intersection is OUTSI the circle. a..) Solve for x. Mark the intercepted arcs x b.) Solve for x. Mark the intercepted arcs 50 x 114 c.) Solve for x. Mark the intercepted arcs m =, x 56 d.) Solve for x. Mark the intercepted arcs m =, 36 x e.) Solve for x. Mark the intercepted arcs m =, x 125 f.) Solve for x. Mark the intercepted arcs m =, 6.5 and 6.6 Notes 52 x reated by W.L. ass and used with permission, p.12
13 ircumference/iameter, round the World 6.5 ircumference onjecture If is the circumference and d is the diameter of a circle, then there is a number such that If r is the radius then. d and 1. If 7 m, find the radius. 3. If 36 m, find the radius. 2. If d 8.5 m, find the circumference (no decimals). 4. If d 6.25 m, find the circumference (no decimals) 6.6 Practice 5. satellite in a nearly circular orbit is 2000 km above the arth s surface. The radius of the arth is approximately 6400 km. If the satellite completes its orbit in 12 hours, calculate the speed of the satellite in km per hour. 6. The diameter of a car tire is approximately 60 cm (0.6 m). The warranty is good for 70,000 km. about how many revolutions will the tire make before the warranty is up? More than a million? More than a billion? (1 km = 1000m) 7. Goldi s Pizza Palace is known throughout the city. The small aby ear pizza has a 6-inch radius and sells for $9.75. The savory medium Mama ear pizza sells for $12.00 and has an 8 inch radius. The large Papa ear pizza is a hefty 20 inches in diameter and sells for $ The edge is stuffed with cheese and it s the best part of the pizza. What size has the most pizza edge per dollar? What is the circumference of this pizza? 6.7 Notes rc Length reated by W.L. ass and used with permission, p.13
14 efinition 6.7 Finding rc Length v. rc Measure The of an arc is equal to Proportion Find the indicated measures. 1. U 50 9 H mgh = mhug = length of HUG = G reated by W.L. ass and used with permission, p.14
15 2. U myp = myup = length of YP = Y P 3. WORKING KWRS Given: P = 16π R 70 P mt = mrt = iameter = T reated by W.L. ass and used with permission, p.15
16 13.5 Notes Indirect Proof General steps for an indirect proof.. 1. Given: 1 is not to 2 Prove: p is not // n p n 2 1 Statement a.) b.) c.) d.) Reason a.) b.) c.) d.) 2. Given: m1 67 X Prove: X is not to 1 Statement a.) b.) c.) d.) e.) Reason a.) b.) c.) d.) e.) reated by W.L. ass and used with permission, p.16
17 3. Given: 1 is not to 2 Prove: is not isosceles with vertex angle Statement Reason 1 2 a.) b.) c.) d.) a.) b.) c.) d.) 4. Given: OJ OK Prove: J is not to K O does not bisect JOK O 1 2 J K Statement Reason a.) b.) c.) d.) a.) b.) c.) d.) e.) OJ e.) f.) g.) h.) f.) g.) h.) reated by W.L. ass and used with permission, p.17
18 ircle ngle hase # Given: is a diameter For each problem, determine the measure of the arc or angle. e careful to look where your vertex is. One mistake can lead to many! Write your answers on the blanks. Write your answers on the blanks provided. 1. m 2. m 3. m 4. m 6. m 7. m 8. m 9. m 5. m reated by W.L. ass and used with permission, p.18
19 ircle ngle hase #2 #9 #1 #2 #5 #8 #6 # #4 #7 # 10 # 11 # 12 # 13 #3 Given: is a diameter For each problem, determine the measure of the arc or angle. e careful to look where your vertex is. One mistake can lead to many! Write your answers on the blanks provided reated by W.L. ass and used with permission, p.19
20 ircle ngle hase #3 #4 #8 #1 #7 #3 #2 #9 # 15 # # 11 # 10 # 13 # #6 #5 Given: // For each problem, determine the measure of the arc or angle. e careful to look where your vertex is. One mistake can lead to many! Write your answers on the blanks provided reated by W.L. ass and used with permission, p.20
21 ircle ngle hase #4 #1 #11 #8 #5 #9 #12 #2 44 #3 #13 #14 #10 18 #4 42 #6 #7 For each problem, determine the measure of the arc or angle. e careful to look where your vertex is. One mistake can lead to many! Write your answers on the blanks provided reated by W.L. ass and used with permission, p.21
22 1. HPTR 6 IRL SUMMRY Other things to remember ongruent chords ongruent arcs How to find the center of a circle with only 3 points How to write the equation of a tangent line. ircumference Formula rc Length reated by W.L. ass and used with permission, p.22
Unit 9 Syllabus: Circles
ate Period Unit 9 Syllabus: ircles ay Topic 1 Tangent Lines 2 hords and rcs and Inscribed ngles 3 Review/Graded lasswork 4 Review from before reak 5 Finding ngle Measures 6 Finding Segment Lengths 7 Review
More informationExamples: The name of the circle is: The radii of the circle are: The chords of the circle are: The diameter of the circle is:
Geometry P Lesson 10-1: ircles and ircumference Page 1 of 1 Objectives: To identify and use parts of circles To solve problems involving the circumference of a circle Geometry Standard: 8 Examples: The
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 informationMATH 30 GEOMETRY UNIT OUTLINE AND DEFINITIONS Prepared by: Mr. F.
1 MTH 30 GEMETRY UNIT UTLINE ND DEFINITINS Prepared by: Mr. F. Some f The Typical Geometric Properties We Will Investigate: The converse holds in many cases too! The Measure f The entral ngle Tangent To
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 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 information6.1 Circles and Related Segments and Angles
Chapter 6 Circles 6.1 Circles and Related Segments and Angles Definitions 32. A circle is the set of all points in a plane that are a fixed distance from a given point known as the center of the circle.
More informationName Date. Inscribed Angles and Polygons For use with Exploration arcs? How are the angles of an inscribed quadrilateral related to each other?
Name ate 10.4 Inscribed ngles and Polygons For use with Exploration 10.4 Essential Question How are inscribed angles related to their intercepted arcs? How are the angles of an inscribed quadrilateral
More informationNOTES: Tangents to Circles
Unit# ssign # TS: Tangents to ircles GL Identify segments and lines related to circles and use properties of a tangent to a circle VULRY circle is the set of all points in a plane that are equidistant
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 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 information10-1 Circles & Circumference
10-1 Circles & Circumference Radius- Circle- Formula- Chord- Diameter- Circumference- Formula- Formula- Two circles are congruent if and only if they have congruent radii All circles are similar Concentric
More informationTable of Contents. Unit 3: Circles and Volume. Answer Key...AK-1. Introduction... v
These materials may not be reproduced for any purpose. The reproduction of any part for an entire school or school system is strictly prohibited. No part of this publication may be transmitted, stored,
More informationCommon Core State Standards High School Geometry Constructions
ommon ore State Standards High School Geometry onstructions HSG.O..12 onstruction: opying a line segment HSG.O..12 onstruction: opying an angle HSG.O..12 onstruction: isecting a line segment HSG.O..12
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
More informationGeometry A Year-at-a-Glance Year-at-a-Glance
Year-at-a-Glance 2018-2019 Year-at-a-Glance FIRST SEMESTER SECOND SEMESTER Unit 1 Foundations of Geometry Unit 2 Circles Unit 3 Equations of Lines and Angle-Pairs Unit 4 Congruence Unit 5 Triangles 1st
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 informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
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 informationTopic 7: Properties of Circles
This Packet Belongs to (Student Name) Topic 7: Properties of Circles Unit 6 Properties of Circles Module 15: Angles and Segments in Circles 15.1 Central Angles and Inscribed Angles 15.2 Angles in Inscribed
More information2 nd Semester Final Exam Review
2 nd Semester Final xam Review I. Vocabulary hapter 7 cross products proportion scale factor dilation ratio similar extremes scale similar polygons indirect measurements scale drawing similarity ratio
More informationGeometry Foundations Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
More informationChapter 6. Sir Migo Mendoza
Circles Chapter 6 Sir Migo Mendoza Central Angles Lesson 6.1 Sir Migo Mendoza Central Angles Definition 5.1 Arc An arc is a part of a circle. Types of Arc Minor Arc Major Arc Semicircle Definition 5.2
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 informationb. find the lateral area of the cylinder c. If the radius is doubled, what happens to the volume?
im: How do we find the volume and surface area of pyramids? o Now: If the radius and the height of a cylinder is 4 a. find the volume of the cylinder b. find the lateral area of the cylinder c. If the
More informationReteaching Inequalities in Two Triangles
Name ate lass Inequalities in Two Triangles INV You have worked with segments and angles in triangles. Now ou will eplore inequalities with triangles. Hinge Theorem If two sides of one triangle are congruent
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 informationInstructional Unit CPM Geometry Unit Content Objective Performance Indicator Performance Task State Standards Code:
306 Instructional Unit Area 1. Areas of Squares and The students will be -Find the amount of carpet 2.4.11 E Rectangles able to determine the needed to cover various plane 2. Areas of Parallelograms and
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 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 informationGeometry: A Complete Course
Geometry: omplete ourse with Trigonometry) Module Progress Tests Written by: Larry. ollins Geometry: omplete ourse with Trigonometry) Module - Progress Tests opyright 2014 by VideotextInteractive Send
More informationHonors Geometry Chapter 5 Tentative Syllabus (Updated 11/4/2015)
Honors Geometry Chapter 5 Tentative Syllabus (Updated 11/4/2015) ll text book answers are posted on Mrs. Moreman s website YOU RE EXPECTED TO CHECK YOUR NSWERS BEFORE COMING TO CLSS. Red Day Red Date Blue
More informationCCSD Proficiency Scale - Language of Geometry
CCSD Scale - Language of Geometry Content Area: HS Math Grade : Geometry Standard Code: G-CO.1 application G-CO.1 Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line
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. Instructional Activities:
GEOMETRY Instructional Activities: Geometry Assessment: A. Direct Instruction A. Quizzes B. Cooperative Learning B. Skill Reviews C. Technology Integration C. Test Prep Questions D. Study Guides D. Chapter
More informationGeometry: Traditional Pathway
GEOMETRY: CONGRUENCE G.CO Prove geometric theorems. Focus on validity of underlying reasoning while using variety of ways of writing proofs. G.CO.11 Prove theorems about parallelograms. Theorems include:
More informationGeometry: A Complete Course
Geometry: omplete ourse with Trigonometry) Module Instructor's Guide with etailed Solutions for Progress Tests Written by: Larry. ollins RRT /010 Unit V, Part, Lessons 1, uiz Form ontinued. Match each
More informationName Class Date. Lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x?
12-1 Practice Tangent Lines Lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x? 1. To start, identify the type of geometric figure formed by the tangent
More informationCircles - Probability
Section 10-1: Circles and Circumference SOL: G.10 The student will investigate and solve practical problems involving circles, using properties of angles, arcs, chords, tangents, and secants. Problems
More informationHigh School Mathematics Geometry Vocabulary Word Wall Cards
High School Mathematics Geometry Vocabulary Word Wall Cards Table of Contents Reasoning, Lines, and Transformations Basics of Geometry 1 Basics of Geometry 2 Geometry Notation Logic Notation Set Notation
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 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 informationPrentice Hall Mathematics Geometry, Foundations Series 2011
Prentice Hall Mathematics Geometry, Foundations Series 2011 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one-
More informationPrentice Hall CME Project Geometry 2009
Prentice Hall CME Project Geometry 2009 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one- or two-dimensional
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 informationGeometry CP Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
More informationcorrelated to the Utah 2007 Secondary Math Core Curriculum Geometry
correlated to the Utah 2007 Secondary Math Core Curriculum Geometry McDougal Littell Geometry: Concepts and Skills 2005 correlated to the Utah 2007 Secondary Math Core Curriculum Geometry The main goal
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 informationFinal Review ANSWERS PERIOD:
Geometry Semester 2 Final Review NSWERS NME:KRUZY S KEY TE: PERIO: You will need to show your work on another piece of paper as there is simply not enough room on this worksheet. This is due in completion
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 informationMaintaining Mathematical Proficiency
Name ate hapter 7 Maintaining Mathematical Proficiency Solve the equation by interpreting the expression in parentheses as a single quantity. 1. 5( 10 x) = 100 2. 6( x + 8) 12 = 48 3. ( x) ( x) 32 + 42
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 informationSequence of Geometry Modules Aligned with the Standards
Sequence of Geometry Modules Aligned with the Standards Module 1: Congruence, Proof, and Constructions Module 2: Similarity, Proof, and Trigonometry Module 3: Extending to Three Dimensions Module 4: Connecting
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 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 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 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 informationThe Research- Driven Solution to Raise the Quality of High School Core Courses. Geometry. Course Outline
The Research- Driven Solution to Raise the Quality of High School Core Courses Course Outline Course Outline Page 2 of 5 0 1 2 3 4 5 ACT Course Standards A. Prerequisites 1. Skills Acquired by Students
More informationUse throughout the course: for example, Parallel and Perpendicular Lines Proving Lines Parallel. Polygons and Parallelograms Parallelograms
Geometry Correlated to the Texas Essential Knowledge and Skills TEKS Units Lessons G.1 Mathematical Process Standards The student uses mathematical processes to acquire and demonstrate mathematical understanding.
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 informationterms, postulates, and notation segment and angle measurement basic constructions
SEPTEMBER 2008 OCTOBER 2008 geometry terms, postulates, and notation understand how to calculate segment and angle measurements understand how to do basic constructions with a compass and straight edge
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 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 informationTEACHER: Nelson/Ryalls/Ragan COURSE _Geometry I & II Curriculum Map
SEPTEMBER understand how to apply geometry terms, postulates, and notation understand how to calculate segment and angle measurements understand how to do basic constructions with a compass and straight
More informationA Solution: The area of a trapezoid is height (base 1 + base 2) = ( 6) (8 + 18) = ( 6) ( 26) = 78
10.0 ompute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. (cont) Eample 2 Find the area of Trapezoid 8 Solution: The area of
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 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 informationMathematics Scope & Sequence Geometry
Mathematics Scope & Sequence 2016-17 Geometry Revised: June 21, 2016 First Grading Period (24 ) Readiness Standard(s) G.5A investigate patterns to make conjectures about geometric relationships, including
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 information1 Reasoning with Shapes
1 Reasoning with Shapes Topic 1: Using a Rectangular Coordinate System Lines, Rays, Segments, and Angles Naming Lines, Rays, Segments, and Angles Working with Measures of Segments and Angles Students practice
More informationGeometry. (F) analyze mathematical relationships to connect and communicate mathematical ideas; and
(1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is (A) apply mathematics to problems arising in everyday life,
More informationGeometry Learning Targets
Geometry Learning Targets 2015 2016 G0. Algebra Prior Knowledge G0a. Simplify algebraic expressions. G0b. Solve a multi-step equation. G0c. Graph a linear equation or find the equation of a line. G0d.
More informationa. If an insect is a butterfly, then it has four wings b. Four angles are formed if two lines intersect
Geometry Unit 1 Part 1 Test Review Name: ate: Period: Part I efinitions, Postulates, Formulas, and Theorems Point Inductive Reasoning onditional Statement Postulate Line onjecture hypothesis Segment ddition
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 informationb) A ray starts at one point on a line and goes on forever. c) The intersection of 2 planes is one line d) Any four points are collinear.
Name: Review for inal 2016 Period: eometry 22 Note to student: This packet should be used as practice for the eometry 22 final exam. This should not be the only tool that you use to prepare yourself for
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 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 Honors Semester 1
Geometry Honors Semester 1 Final Exam Review 2017-2018 Name: ate: Period: Formulas: efinitions: 1. Slope - 1. omplementary 2. Midpoint - 2. Supplementary 3. isect 3. istance - 4. Vertical ngles 4. Pythagorean
More informationName Honors Geometry Final Exam Review
2014-2015 Name Honors Geometry Final Eam Review Chapter 5 Use the picture at the right to answer the following questions. 1. AC= 2. m BFD = 3. m CAE = A 29 C B 71⁰ 19 D 16 F 65⁰ E 4. Find the equation
More informationHonors Geometry CHAPTER 7. Study Guide Final Exam: Ch Name: Hour: Try to fill in as many as possible without looking at your book or notes.
Honors Geometry Study Guide Final Exam: h 7 12 Name: Hour: Try to fill in as many as possible without looking at your book or notes HPTER 7 1 Pythagorean Theorem: Pythagorean Triple: 2 n cute Triangle
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 informationGeo 9 Ch 11 1 AREAS OF POLYGONS SQUARE EQUILATERAL TRIANGLE
Geo 9 h 11 1 RES OF POLYGONS SQURE RETNGLE PRLLELOGRM TRINGLE EQUILTERL TRINGLE RHOMUS TRPEZOI REGULR POLY IRLE R LENGTH SETOR SLIVER RTIO OF RES SME SE SME HEIGHT Geo 9 h 11 2 11.1 reas of Polygons Postulate
More informationFRANKLIN-SIMPSON HIGH SCHOOL
FRANKLIN-SIMPSON HIGH SCHOOL Course Name: Geometry Unit Name: Going in Circles Quality Core Objectives: B.1. C.1. D.1. Mathematical Processes Logic and Proof Points, Lines, Planes, and Space Unit 13 Going
More informationFONTANA UNIFIED SCHOOL DISTRICT Glencoe Geometry Quarter 1 Standards and Objectives Pacing Map
Glencoe Geometry Quarter 1 1 August 9-13 2 August 16-20 *1.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning.
More informationCHAPTER 7. Circles. Copyright Big Ideas Learning, LLC All rights reserved.
HPTER 7 ircles 7.1 Lines and Segments that Intersect ircles...45 7. Finding rc Measures...51 7.3 Using hords...57 7.4 Inscribed ngles and Polygons...63 7.5 ngle Relationships in ircles...69 7.6 Segment
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 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 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 information14.2 Angles in Inscribed Quadrilaterals
Name lass ate 14.2 ngles in Inscribed Quadrilaterals Essential Question: What can you conclude about the angles of a quadrilateral inscribed in a circle? Explore G.12. pply theorems about circles, including
More informationACTM Geometry Exam State 2010
TM Geometry xam State 2010 In each of the following select the answer and record the selection on the answer sheet provided. Note: Pictures are not necessarily drawn to scale. 1. The measure of in the
More informationGeometry. Pacing Guide. Kate Collins Middle School
Geometry Pacing Guide Kate Collins Middle School 2016-2017 Points, Lines, Planes, and Angles 8/24 9/4 Geometry Pacing Chart 2016 2017 First Nine Weeks 1.1 Points, Lines, and Planes 1.2 Linear Measure and
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 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 information104, 107, 108, 109, 114, 119, , 129, 139, 141, , , , , 180, , , 128 Ch Ch1-36
111.41. Geometry, Adopted 2012 (One Credit). (c) Knowledge and skills. Student Text Practice Book Teacher Resource: Activities and Projects (1) Mathematical process standards. The student uses mathematical
More informationBellwood-Antis School District Curriculum Revised on 10/7/2011
Bellwood-Antis School District Curriculum Revised on 10/7/2011 Course: Geometry Grade Level(s): 9-12 Month Duration PA Standards/Anchors Content Assessment Instructional Unit I: Lines and Angles Aug- I
More informationG12 Centers of Triangles
Summer 2006 I2T2 Geometry Page 45 6. Turn this page over and complete the activity with a different original shape. Scale actor 1 6 0.5 3 3.1 Perimeter of Original shape Measuring Perimeter Perimeter of
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 informationSOL Chapter Due Date
Name: Block: Date: Geometry SOL Review SOL Chapter Due Date G.1 2.2-2.4 G.2 3.1-3.5 G.3 1.3, 4.8, 6.7, 9 G.4 N/A G.5 5.5 G.6 4.1-4.7 G.7 6.1-6.6 G.8 7.1-7.7 G.9 8.2-8.6 G.10 1.6, 8.1 G.11 10.1-10.6, 11.5,
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 informationGeometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
More information