Using Geometry Common Core As A Resource For Engageny

Using Geometry Common Core as a Resource for engagenyUse the following engageny chart to find correlated Geometry Common Core lessons.engagenyModuleModule 1engageny LessonGeometry CommonCore LessonLesson 1 Construct an Equilateral Triangle5.1Lesson 2 Construct an Equilateral Triangle II5.1Lesson 3 Copy and Bisect an Angle1.1, 6.2Lesson 4 Construct a Perpendicular Bisector6.2Lesson 5 Points of Concurrencies6.3, 6.5Lesson 6 Solve for Unknown Angles—Angles and Lines at a Point3.4, 4.1, 4.2Lesson 7 Solve for Unknown Angles—Transversals4.1, 4.2, 4.3Lesson 8 Solve for Unknown Angles—Angles in a Triangle4.5Lesson 9 Unknown Angle Proofs—Writing Proofs3.3, 3.4Lesson 10 Unknown Angle Proofs—Proofs with Constructions4.3, 5.1, 6.2, 8.1, 9.6Lesson 11 Unknown Angle Proofs—Proofs of Known Facts3.3, 3.4, 4.1, 4.2, 4.3,4.5Lesson 12 Transformations—The Next Level1.3Lesson 13 Rotations1.3, 1.5, 1.6, 1.7Lesson 14 Reflections1.3, 1.6, 1.7Lesson 15 Rotations, Reflections, and Symmetry1.6, 1.7Lesson 16 Translations1.3, 1.4, 1.7Lesson 17 Characterize Points on a Perpendicular Bisector1.6Lesson 18 Looking More Carefully at Parallel Lines4.1, 4.2Lesson 19 Construct and Apply a Sequence of Rigid Motions1.7Lesson 20 Applications of Congruence in Terms of Rigid Motions1.7Lesson 21 Correspondence and Transformations1.7Lesson 22 Congruence Criteria for Triangles—SAS5.3Lesson 23 Base Angles of Isosceles Triangles5.1Lesson 24 Congruence Criteria for Triangles—ASA and SSS5.3, 5.4Lesson 25 Congruence Criteria for Triangles—SAAS and HL5.3, 5.4Lesson 26 Triangle Congruency Proofs—Part I5.2, 5.3, 5.4Lesson 27 Triangle Congruency Proofs—Part II5.2, 5.3, 5.4Lesson 28 Properties of Parallelograms9.1, 9.2, 9.3Lessons 29–30 Special Lines in Triangles6.1, 6.4Lesson 31 Construct a Square and a Nine-Point Circle8.1, 8.3, 9.6engageny Correlationxxix

engagenyModuleModule 1Module 2engageny LessonGeometry CommonCore LessonLesson 32 Construct a Nine-Point Circle8.1Lessons 33–34 Review of the Assumptions1.1,1.7,4.3,5.4,6.5,9.3,Lesson 1 Scale Drawings2.1Lesson 2 Making Scale Drawings Using the Ratio Method2.1, 2.2Lesson 3 Making Scale Drawings Using the Ratio Method2.1, 2.2, 4.3Lesson 4 Comparing the Ratio Method with the Parallel Method2.1, 2.2, 4.3, 7.1Lesson 5 Scale Factors2.1Lesson 6 Dilations as Transformations of the Plane2.1, 2.2, 2.4, 7.1Lesson 7 How Do Dilations Map Segments?2.2, 7.1Lesson 8 How Do Dilations Map Lines, Rays, and Circles?2.2, 2.3Lesson 9 How Do Dilations Map Angles?2.2, 7.1Lesson 10 Dividing the King‘s Foot into 12 Equal Pieces2.2, 7.1Lesson 11 Dilations From Different Centers2.2Lesson 12 What Are Similarity Transformaitons, and Why Do We NeedThem?2.1, 2.2, 2.3, 2.4Lesson 13 Properties of Similarity Transformations2.4Lesson 14 Similarity2.1, 2.2, 2.3, 3.4, 7.1,7.2Lesson 15 The Angle-Angle (AA) Criterion for Two Triangles to beSimilar7.1Lesson 16 Between-Figure and Within-Figure Rations7.1, 7.2Lesson 17 The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteriafor Two Triangles to be Similar7.1, 7.2Lesson 18 Similarity and the Angle Bisector Theorem2.1, 6.2Lesson 19 Families of Parallel Lines and the Circumference of the Earth4.1, 4.2Lesson 20 How Far Away is the Moon?8.1Lesson 21 Special Relationships Within Right Triangles—Dividing intoTwo Similar Sub-Triangles7.3, on 22 Multiplying and Dividing Expressions with RadicalsLesson 23 Adding and Subtracting Expressions with RadicalsLesson 24 Prove the Pythagorean Theorem Using Similarityxxxengageny Correlation7.3, 7.4, 7.51.5,4.1,5.2,6.3,9.1,1.6,4.2,5.3,6.4,9.2,

engagenyModuleModule 2Module 3Module 4Geometry CommonCore Lessonengageny LessonLesson 25 I ncredibly Useful Ratios7.6Lesson 26 T he Definition of Sine, Cosine, and Tangent7.6Lesson 27 S ine and Cosine of Complementary Angles and SpecialAngles7.6Lesson 28 S olving Problems Using Sine and Cosine7.6Lesson 29 Applying Tangents7.6Lesson 30 T rigonometry and the Pythagorean Theorem7.6, 9.8Lesson 31 U sing Trigonometry to Determine Area7.8Lesson 32 U sing Trigonometry to Find Side Lengths of an Acute Triangle7.8Lesson 33 A pplying Laws of Sines and Cosines7.8Lesson 34 Unknown Angles7.6, 7.7Lesson 1 What is Area?9.6, 9.7Lesson 2 Properties of Area9.6, 9.7Lesson 3 The Scaling Principle for Area2.1, 2.2, 2.3, 9.6, 9.7Lesson 4 Providing the Area of a Disk8.1, 8.3Lesson 5 Three-Dimensional Space1.1, 1.2Lesson 6 General Prisms and Cylinders and Their Cross-Sections10.1Lesson 7 General Pyramids and Cones and Their Cross-Sections10.1Lesson 8 Definition and Properties of Volume10.3Lesson 9 Scaling Principle for Volumes10.3, 10.5Lesson 10 The Volume of Prisms and Cylinders and Cavalieri’s Principle10.1, 10.3, 10.4Lesson 11 The Volume Formula of a Pyramid and Cone10.3Lesson 12 The Volume Formula of a Sphere10.2, 10.3, 10.4Lesson 13 How Do 3D Printers Work?10.1, 10.4Lesson 1 Searching a Region in the Plane1.1, 1.2, 7.3Lesson 2 Finding Systems of Inequalities That Describe Triangular andRectangular Regions5.4, 6.6Lesson 3 Lines That Pass Through Regions1.1, 1.2, 4.4Lesson 4 Designing a Search Robot to Find a Beacon1.5, 4.3, 4.4Lesson 5 Criterion for Perpendicularity4.3, 4.4, 7.3, 7.4Lesson 6 Segments That Meet at Right Angles4.3, 4.4, 9.5Lesson 7 Equations for Lines Using Normal Segments4.4engageny Correlationxxxi

engagenyModuleModule 4Module 5Algebra 2xxxiiengageny LessonGeometry CommonCore LessonLesson 8 Parallel and Perpendicular Lines4.4Lesson 9 Perimeter and Area of Triangles in the Cartesian Plane9.6Lesson 10 Perimeter and Area of Polygonal Regions in the CartesianPlane9.6Lesson 11 Perimeters and Areas of Polygonal Regions Defined bySystems of Inequalities9.6Lesson 12 Dividing Segments Proportionately1.2Lesson 13 Analytic Proofs of Theorems Previously Proved by SyntheticMeans6.1, 6.4Lesson 14 Motion Along a Line—Search Robots Again (Optional)1.2, 4.3, 4.4Lesson 15 The Distance from a Point to a Line4.3, 4.4Lesson 1 Thale‘s Theorem8.1, 8.2, 8.3Lesson 2 Circles, Chords, Diameters, and Their Relationships8.2Lesson 3 Rectangles Inscribed in Circles8.3Lesson 4 Experiments with Inscribed Angles8.2, 8.3Lesson 5 Inscribed Angle Theorem and Its Application8.3Lesson 6 Unknown Angle Problems with Inscribed Angles in Circles8.3Lesson 7 The Angle Measure of an Arc8.2, 8.3Lesson 8 Arcs and Chords8.2Lesson 9 Arc Lengths and Areas of Sectors8.5Lesson 10 Unknown Length and Area Problems8.1, 8.2, 8.5Lesson 11 Properties of Tangents8.2, 8.3, 8.4Lesson 12 Tangent Segments8.1, 8.4Lesson 13 The Inscribed Angle Alternate a Tangent Angle8.3, 8.4Lesson 14 Secant Lines; Secant Lines that Meet Inside a Circle8.1, 8.3, 8.4Lesson 15 Secant Angle Theorem, Exterior Case8.3, 8.4Lesson 16 Similar Triangles in a Circle-Secant (or Circle-Secant-Tangent)Diagrams8.3, 8.4Lesson 17 Writing the Equation for a Circle11.1, 11.3Lesson 18 Recognizing Equations of Circles11.3Lesson 19 Equations for Tangent Lines to Circles8.1, 8.4, 11.3Lesson 20 Cyclic Quadrilaterals8.3Lesson 21 Ptolemy‘s Theorem8.3Module 111.2Module 412.1, 12.2, 12.3, 12.4,12.5engageny Correlation

ChapterRAlgebra ReviewLESSON PLANNINGStudentEditionLessonR.1 Solving Equationspp. 5–9R.2 Solving Inequalities pp. 9–11R.3 The Slope-InterceptForm of a LineStandardsengageny LessonsDigital LessonA-CED.4; A-REI.3Lesson R.1Algebra 1 M1 Lessons 5,10–13, 18,19A-REI.3Lesson R.2Algebra 1 M1 Lessons 11,14–16Lesson R.3Grade 8 M4 Lessons17–21pp. 11–16R.4 Solving a System of pp. 16–19EquationsA-REI.5; A-REI.6Lesson R.4Algebra 1 M1 Lessons 5,15, 22–24R.5 MultiplyingPolynomialspp. 19–21A-APR.1Lesson R.5Algebra 1 M1 Lesson 9R.6 FactoringPolynomialspp. 21–23Lesson R.6Algebra 1 M4 Lessons 1–2Algebra 1 M1 Lesson 17R.7 Simplifying SquareRootsp. 23Lesson R.7Algebra 1 M4 Lessons 1–4Grade 8 M7 Lessons 2–5R.8 Completing theSquarepp. 24–25R.9 Graphing Parabolas pp. 26–30A-SSE.2A-REI.4aLesson R.8Algebra 1 M4 Lessons11–13A-APR.3; A-REI.10;F-BF.3Lesson R.9Algebra 1 M1 Lesson 2R.10 Area andPerimeterFundamentalspp. 30–33Lesson R.10Algebra 1 M4 Lessons8–10, 16–17Grade 4 M3 Lesson 1R.11 PythagoreanTheorempp. 33–35Lesson R.11Grade 8 M7 Lesson 1Key to the icons:indicates Digital Activities that can be found at www.amscomath.com.The computer iconThe globe iconindicates where Real-World Model Problems are found in the text.The black diamond icon2Chapter R(next to the answers in this Teacher Manual) indicates challenge problems.

Chapter1Geometry FundamentalsLESSON PLANNINGLesson1.1 GeometryEssentialsStudentEditionpp. 37–43StandardsG-CO.1; G-CO.12Digital LessonLesson 1.1engageny LessonsM1 Lessons 3, 33–34M3 Lesson 5G-GPE.6Lesson 1.2M4 Lessons 1, 3M3 Lesson 51.2 MeasuringDistancespp. 43–501.3 Transformationsand CongruentFigurespp. 50–56G-CO.5; G-CO.6; G-CO.7Lesson 1.3M4 Lessons 1, 3, 12, 14M1 Lessons 12–14, 16,33–341.4 Translation in aCoordinate Planepp. 56–61G-CO.2; G-CO.5; G-CO.6Lesson 1.4M1 Lessons 16, 33–341.5 Rotationpp. 62–70G-CO.2; G-CO.3; G-CO.4; Lesson 1.5G-CO.5; G-CO.6M1 Lessons 13, 33–34M4 Lesson 41.6 Reflection,Rotation, andSymmetrypp. 70–79G-CO.2; G-CO.3; G-CO.4; Lesson 1.6G-CO.5; G-CO.6M1 Lessons 13–15, 17,33–341.7 Composition ofTransformationspp. 79–84G-CO.2; G-CO.4; G-CO.5; Lesson 1.7G-CO.6M1 Lessons 13–16,19–21, 33–34Chapter 111

Chapter2Similar Figures and DilationLESSON PLANNINGLesson2.1 Similar FiguresStudentEditionpp. 89–922.2 Dilation and Similar pp. 93–101FiguresStandardsG-SRT.5Digital LessonLesson 2.1G-CO.2; G-SRT.1a;G-SRT.1b; G-SRT.2;G-SRT.5Lesson 2.22.3 Similarity, Polygons, pp. 102–109and CirclesG-SRT.2; G-SRT.5Lesson 2.32.4 Similarity andTransformationsG-CO.2; G-CO.5pp. 109–112engageny LessonsM2 Lessons 1–6, 12, 14,18M3 Lesson 3M2 Lessons 2–4, 6–12,14M3 Lesson 3M2 Lessons 8, 12, 14M3 Lesson 3Lesson 2.4M2 Lessons 6, 12–13Chapter 243

Chapter3ReasoningLESSON PLANNINGLessonStudentEditionStandardsDigital Lessonengageny Lessons3.1 InductiveReasoning3.2 ConditionalStatements3.3 DeductiveReasoningpp. 119–124Lesson 3.1Optional lessonpp. 124–129Lesson 3.2Optional lessonpp. 130–134G-CO.9Lesson 3.3M1 Lessons 9, 11, 33–343.4 Reasoning inGeometrypp. 134–143G-CO.9Lesson 3.4M1 Lessons 6, 9, 11,33–34M2 Lesson 14Chapter 367

Chapter4Parallel andPerpendicular LinesLESSON PLANNINGLesson4.1 Parallel Lines andAnglesStudentEditionpp. 149–157StandardsG-CO.1; G-CO.9Digital LessonLesson 4.1engageny LessonsM1 Lessons 6–7, 11, 18,33–34M2 Lesson 194.2 More on ParallelLines and Anglespp. 158–166G-CO.9Lesson 4.2M1 Lessons 6–7, 11, 18,33–34M2 Lesson 194.3 Perpendicular Lines pp. 166–176G-CO.9; G-CO.12Lesson 4.3M1 Lessons 7, 10–11,33–34M2 Lessons 3–44.4 Parallel Lines,pp. 176–182Perpendicular Lines,and SlopeG-GPE.5Lesson 4.4M4 Lessons 4–6, 14–15M4 Lessons 3–8, 14–154.5 Parallel Lines andTrianglesG-CO.10Lesson 4.5M1 Lessons 8, 11, 33–34pp. 182–187Chapter 499

Chapter5Congruent TrianglesLESSON PLANNINGLessonStudentEditionStandardsDigital Lessonengageny Lessons5.1 Isosceles andEquilateralTrianglespp. 195–205G-CO.10; G-CO.12Lesson 5.1M1 Lessons 1–2, 10, 23,33–345.2 Congruent Figurespp. 205–209G-SRT.5Lesson 5.25.3 Proving Trianglespp. 209–217Congruent with SSSand SASG-CO.10; G-SRT.5Lesson 5.3M1 Lessons 26–27,33–34M1 Lessons 22, 24–27,33–345.4 Proving Trianglespp. 218–226Congruent with ASAand AASG-CO.7; G-CO.8;G-CO.10; G-SRT.5Lesson 5.4128Chapter 5M1 Lessons 24–27,33–34M4 Lesson 2