Geometry Complete Unit 3 - High School Math Teachers
Complete Unit 3PackageHighSchoolMathTeachers.com 2020
Table of ContentsUnit 3 Pacing ometry Unit 3 Skills List --------------------------------------5Unit 3 Lesson y 31 --33Day 31 36Day 31 39Day 31 Exit y 32 --46Day 32 48Day 32 51Day 32 Exit y 33 --57Day 33 59Day 33 62Day 33 Exit y 34 --68Day 34 70Day 34 72Day 34 Exit ek 7 --78Day 36 --87Day 36 89Day 36 91Day 36 Exit ay 37 --111Day 37 113Day 37 116
Day 37 Exit ay 38 --129Day 38 132Day 38 134Day 38 Exit ay 39 --151Day 39 155Day 39 157Day 39 Exit eek 8 --173Day 41 --182Day 41 187Day 41 190Day 41 Exit ay 42 --213Day 42 215Day 42 217Day 42 Exit ay 43 --229Day 43 231Day 43 234Day 43 Exit ay 44 --257Day 44 261Day 44 263Day 44 Exit eek 9 --283Unit 3 ----------------------------------------------290
Unit 3 Pacing ChartUnitWeekUnit 3TrianglesUnit 3TrianglesUnit 3TrianglesUnit 3TrianglesWeek 7 – ProveTheoremsabout TrianglesWeek 7 – ProveTheoremsabout TrianglesWeek 7 – ProveTheoremsabout TrianglesWeek 7 – ProveTheoremsabout TrianglesDayCCSS StandardsObjectiveI Can Statements31CCSS.MATH.CONTENT.HSG.CO.C.10Prove theorems about triangles. Theorems include:measures of interior angles of a triangle sum to 180 ;base angles of isosceles triangles are congruent; thesegment joining midpoints of two sides of a triangle isparallel to the third side and half the length; themedians of a triangle meet at a point.Prove that measures ofinterior angles of a trianglesum to 180 I can prove that measures ofinterior angles of a triangle sumto 180 32CCSS.MATH.CONTENT.HSG.CO.C.10Prove theorems about triangles. Theorems include:measures of interior angles of a triangle sum to 180 ;base angles of isosceles triangles are congruent; thesegment joining midpoints of two sides of a triangle isparallel to the third side and half the length; themedians of a triangle meet at a point.Prove that base angles ofisosceles triangles arecongruentI can prove that base angles ofisosceles triangles are congruentProve that the medians of atriangle meet at a point.I can prove that the medians of atriangle meet at a point.Summarize the week'stopicsI can prove that measures ofinterior angles of a triangle sumto 180 I can prove that base angles ofisosceles triangles are congruentI can prove that the medians of atriangle meet at a point.3334CCSS.MATH.CONTENT.HSG.CO.C.10Prove theorems about triangles. Theorems include:measures of interior angles of a triangle sum to 180 ;base angles of isosceles triangles are congruent; thesegment joining midpoints of two sides of a triangle isparallel to the third side and half the length; themedians of a triangle meet at a point.CCSS.MATH.CONTENT.HSG.CO.C.10Prove theorems about triangles. Theorems include:measures of interior angles of a triangle sum to 180 ;base angles of isosceles triangles are congruent; thesegment joining midpoints of two sides of a triangle isparallel to the third side and half the length; themedians of a triangle meet at a point.HighSchoolMathTeachers.com 2020Page 1
Unit 3 Pacing ChartUnit 3TrianglesUnit 3TrianglesUnit 3TrianglesWeek 7 – ProveTheoremsabout TrianglesWeek 8 –GeometricConstructionsWeek 8 ONTENT.HSG.CO.D.12Make formal geometric constructions with a variety oftools and methods (compass and straightedge, string,reflective devices, paper folding, dynamic geometricsoftware, etc.). Copying a segment; copying an angle;bisecting a segment; bisecting an angle; constructingperpendicular lines, including the perpendicularbisector of a line segment; and constructing a lineparallel to a given line through a point not on the line.37CCSS.MATH.CONTENT.HSG.CO.D.12Make formal geometric constructions with a variety oftools and methods (compass and straightedge, string,reflective devices, paper folding, dynamic geometricsoftware, etc.). Copying a segment; copying an angle;bisecting a segment; bisecting an angle; constructingperpendicular lines, including the perpendicularbisector of a line segment; and constructing a lineparallel to a given line through a point not on the line.HighSchoolMathTeachers.com 2020AssessmentMake formal geometricconstructions with a varietyof tools and methods(compass and straightedge,string, reflective devices,paper folding, dynamicgeometric software, etc.).Copying a segment;copying an angle; bisectinga segment; bisecting anangle;Make formal geometricconstructions with a varietyof tools and methods(compass and straightedge,string, reflective devices,paper folding, dynamicgeometric software,etc.).constructingperpendicular lines,including the perpendicularbisector of a line segmentAssessmentI can copy a segment; an angle;bisecting a segment and bisectingan angle using variety of toolsand methods (compass andstraightedge, string, reflectivedevices, paper folding, dynamicgeometric software, etc.)I can construct perpendicularlines, including the perpendicularbisector of a line segment usingvariety of tools and methods(compass and straightedge,string, reflective devices, paperfolding, dynamic geometricsoftware, etc.)Page 2
Unit 3 Pacing ChartUnit 3TrianglesWeek 8 O.D.12Make formal geometric constructions with a variety oftools and methods (compass and straightedge, string,reflective devices, paper folding, dynamic geometricsoftware, etc.). Copying a segment; copying an angle;bisecting a segment; bisecting an angle; constructingperpendicular lines, including the perpendicularbisector of a line segment; and constructing a lineparallel to a given line through a point not on the line.Unit 3TrianglesWeek 8 O.D.12Make formal geometric constructions with a variety oftools and methods (compass and straightedge, string,reflective devices, paper folding, dynamic geometricsoftware, etc.). Copying a segment; copying an angle;bisecting a segment; bisecting an angle; constructingperpendicular lines, including the perpendicularbisector of a line segment; and constructing a lineparallel to a given line through a point not on the line.Unit 3TrianglesWeek 8 hTeachers.com 2020Make formal geometricconstructions with a varietyof tools and methods(compass and straightedge,string, reflective devices,paper folding, dynamicgeometric software, etc.).constructing a line parallelto a given line through apoint not on the line.Summarize- Copying asegment; copying an angle;bisecting a segment;bisecting an angle;constructing perpendicularlines, including theperpendicular bisector of aline segment; andconstructing a line parallelto a given line through apoint not on the line.AssessmentI can construct a line parallel to agiven line through a point not onthe line uisng variety of tools andmethods (compass andstraightedge, string, reflectivedevices, paper folding, dynamicgeometric software, etc.)I can copy a line segment; anangle; bisect a segment and anangleI can constructing perpendicularlines, including the perpendicularbisector of a line segmentI can constructing a line parallelto a given line through a pointnot on the line.AssessmentPage 3
Unit 3 Pacing ChartUnit 3TrianglesWeek 9 –Inscribed andCircumscribedCircles of aTriangle41CCSS.MATH.CONTENT.HSG.CO.D.13Construct an equilateral triangle, a square, and aregular hexagon inscribed in a circle.Construct an equilateraltriangle inscribed in acircle.I can construct an equilateraltriangle inscribed in a circle.Unit 3TrianglesWeek 9 –Inscribed andCircumscribedCircles of aTriangle42CCSS.MATH.CONTENT.HSG.CO.D.13Construct an equilateral triangle, a square, and aregular hexagon inscribed in a circle.Construct an squareinscribed in a circle.I can construct an squareinscribed in a circle.Unit 3TrianglesWeek 9 –Inscribed andCircumscribedCircles of aTriangle43CCSS.MATH.CONTENT.HSG.CO.D.13Construct an equilateral triangle, a square, and aregular hexagon inscribed in a circle.Construct a regularhexagon inscribed in acircle.I can construct a regular hexagoninscribed in a circle.Unit 3TrianglesWeek 9 –Inscribed andCircumscribedCircles of aTriangle44CCSS.MATH.CONTENT.HSG.CO.D.13Construct an equilateral triangle, a square, and aregular hexagon inscribed in a circle.Sammarize - Constructionof a equilateral triangle, asquare, and a regularhexagon inscribed in acircleI can construct an equilateraltriangle inscribed in a circle.I can construct an squareinscribed in a circle.I can construct a regular hexagoninscribed in a circle.Unit 3TrianglesWeek 9 –Inscribed andCircumscribedCircles of lMathTeachers.com 2020Page 4
Geometry Unit 3 Skills ListNameGeometry Unit 3 Skills ListNumberUnitCCSSSkill123HSG.CO.C.10Prove theorems about triangles133HSG.CO.D.12Make formal geometric constructions143HSG.CO.D.13Construct inscribed figuresHighSchoolMathTeachers.com 2020Page 5
Geometry Unit 3 Lesson PlanNameUnit: Unit 3TrianglesCourse: GeometryTopic: Week 7 – Prove Theorems about TrianglesDay: 31Common Core State Standard:Mathematical ACTICE.MP5Prove theorems about triangles. TheoremsUse appropriate toolsinclude: measures of interior angles of a triangle strategically.sum to 180 ; base angles of isosceles triangles arecongruent; the segment joining midpoints of twosides of a triangle is parallel to the third side andhalf the length; the medians of a triangle meet ata point.Objective:I can statement:Prove that measures of interior angles of atriangle sum to 180 I can prove that measures ofinterior angles of a trianglesum to 180 Procedures:Materials:1. Students will complete the bellringer.2. Students will work in groups of at least 4.Students will discover that when the interiorangles of a triangle are summed up, they add upto 180 .3. The presentation will be used to look formisconceptions and encourage discussion.4. Students will complete the exit slip beforeleaving for the day.Bellringer 31Day 31 ActivitiesDay 31 PracticeDay 31 PresentationDay 31 Exit SlipHighSchoolMathTeachers.com 2020Page 6
Geometry Unit 3 Lesson PlanNameAccommodations/Special al Resources:HighSchoolMathTeachers.com 2020Page 7
Geometry Unit 3 Lesson PlanNameUnit: Unit 3TrianglesCourse: GeometryTopic: Week 7 – Prove Theorems about TrianglesDay: 32Common Core State Standard:Mathematical ACTICE.MP5Prove theorems about triangles. TheoremsUse appropriate toolsinclude: measures of interior angles of a triangle strategically.sum to 180 ; base angles of isosceles triangles arecongruent; the segment joining midpoints of twosides of a triangle is parallel to the third side andhalf the length; the medians of a triangle meet ata point.Objective:I can statement:Prove that base angles of isosceles triangles arecongruentI can prove that base anglesof isosceles triangles arecongruentProcedures:Materials:1. Students will complete the bellringer.2. Students will work in groups of at least 4.Students will discover that an isosceles trianglehas at least two equal sides and consequently itsbase angles are congruent through simple paperfolding and cutting3. The presentation will be used to look formisconceptions and encourage discussion.4. Students will complete the exit slip beforeleaving for the day.Bellringer 32Day 32 ActivitiesDay 32 PracticeDay 32 PresentationDay 32 Exit SlipHighSchoolMathTeachers.com 2020Page 8
Geometry Unit 3 Lesson PlanNameAccommodations/Special al Resources:HighSchoolMathTeachers.com 2020Page 9
Geometry Unit 3 Lesson PlanNameUnit: Unit 3TrianglesCourse: GeometryTopic: Week 7 – Prove Theorems about TrianglesDay: 33Common Core State Standard:Mathematical ACTICE.MP5Prove theorems about triangles. TheoremsUse appropriate toolsinclude: measures of interior angles of a triangle strategically.sum to 180 ; base angles of isosceles triangles arecongruent; the segment joining midpoints of twosides of a triangle is parallel to the third side andhalf the length; the medians of a triangle meet ata point.Objective:I can statement:Prove that the medians of a triangle meet at apoint.I can prove that the mediansof a triangle meet at a point.Procedures:Materials:1. Students will complete the bellringer.2. Students will work in groups of at least 3.Students are required to draw an equilateraltriangle and its medians to study where and howthey meet.3. The presentation will be used to look formisconceptions and encourage discussion.4. Students will complete the exit slip beforeleaving for the day.Bellringer 33Day 33 ActivitiesDay 33 PracticeDay 33 PresentationDay 33 Exit SlipHighSchoolMathTeachers.com 2020Page 10
Geometry Unit 3 Lesson PlanNameAccommodations/Special al Resources:HighSchoolMathTeachers.com 2020Page 11
Geometry Unit 3 Lesson PlanNameUnit: Unit 3TrianglesCourse: GeometryTopic: Week 7 – Prove Theorems about TrianglesDay: 34Common Core State Standard:Mathematical Practice:CCSS.MATH.CONTENT.HSG.CO.C.10Prove theorems about triangles. Theoremsinclude: measures of interior angles of a trianglesum to 180 ; base angles of isosceles triangles arecongruent; the segment joining midpoints of twosides of a triangle is parallel to the third side andhalf the length; the medians of a triangle meet ata point.CCSS.MATH.PRACTICE.MP3Construct viable argumentsand critique the reasoning ofothers.Objective:I can statement:Summarize the week's topicsI can prove that measures ofinterior angles of a trianglesum to 180 I can prove that base anglesof isosceles triangles arecongruentI can prove that the mediansof a triangle meet at a point.Procedures:Materials:1. Students will complete the bellringer.2. Students will work in groups of at least 5.Students are required to draw an Isoscelestriangle then prove that the base angles are equalequal, the sum of interior angles is 180 and themedians intersect at a common point.Bellringer 34Day 34 ActivitiesDay 34 PracticeDay 34 PresentationDay 34 Exit SlipHighSchoolMathTeachers.com 2020Page 12
Geometry Unit 3 Lesson PlanName3. The presentation will be used to look formisconceptions and encourage discussion.4. Students will complete the exit slip beforeleaving for the day.Accommodations/Special al Resources:HighSchoolMathTeachers.com 2020Page 13
Geometry Unit 3 Lesson PlanNameUnit: Unit 3TrianglesCourse: GeometryTopic: Week 7 – Prove T
Geometry Unit 3 Lesson Plan Name _ HighSchoolMathTeachers.com 2020 Page 8 Unit: Unit 3 Triangles Course: Geometry Topic: Week 7 – Prove Theorems about Triangles Day: 32 Common Core State Standard: CCSS.MATH.CONTENT.HSG.CO.C.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle .
www.ck12.orgChapter 1. Basics of Geometry, Answer Key CHAPTER 1 Basics of Geometry, Answer Key Chapter Outline 1.1 GEOMETRY - SECOND EDITION, POINTS, LINES, AND PLANES, REVIEW AN- SWERS 1.2 GEOMETRY - SECOND EDITION, SEGMENTS AND DISTANCE, REVIEW ANSWERS 1.3 GEOMETRY - SECOND EDITION, ANGLES AND MEASUREMENT, REVIEW AN- SWERS 1.4 GEOMETRY - SECOND EDITION, MIDPOINTS AND BISECTORS, REVIEW AN-
Geometry Unit 10: Circles Name_ Geometry Unit 10: Circles Ms. Talhami 2 Helpful Vocabulary Word Definition/Explanation Examples/Helpful Tips Geometry Unit 10: Circles Ms. Talhami 3 Equation of a Circle Determine the center an
course. Instead, we will develop hyperbolic geometry in a way that emphasises the similar-ities and (more interestingly!) the many differences with Euclidean geometry (that is, the 'real-world' geometry that we are all familiar with). §1.2 Euclidean geometry Euclidean geometry is the study of geometry in the Euclidean plane R2, or more .
Accelerated CCGPS Analytic Geometry B/Advanced Algebra - At a Glance . Common Core Georgia Performance Standards: Curriculum Map 1. st Semester nd2 Semester Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Extending the Number System Quadratic Functions Modeling Geometry Applications of Probability Inferences and
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Albuquerque Public Schools – May 2013 Geometry Unit 1 Page 1 of 7 High School Units of Study Semester 1 Geometry Unit 1 Unit 1 Basics of Constructions and Proofs: Lines and Angles . These tools might include pencil and paper, concrete models, a ruler, a pro tract or , and/ or dynamic geometry software.
Analytic Geometry Geometry is all about shapes and their properties. If you like playing with objects, or like drawing, then geometry is for you! Geometry can be divided into: Plane Geometry is about flat shapes like lines, circles and triangles . shapes that can be drawn on a piece of paper S
geometry is for its applications to the geometry of Euclidean space, and a ne geometry is the fundamental link between projective and Euclidean geometry. Furthermore, a discus-sion of a ne geometry allows us to introduce the methods of linear algebra into geometry before projective space is
