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GADSDENCITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKApply geometric methodsto solvedesign problems (designing an object orTEXT: GLENCOE GEOMETRYstructure to satisfy physical constraintsor minimize cost, working withtypographic grid systems based onG.SRT.27.2Similar Polygons1/2ratios)* [G.MG.3] Given two figures,use the definition of similarity in termsof similarity transformations to decideG.SRT.4,if they are similar; explain usingG.SRT.5,7.3Similar Triangles1 daysimilarity transformations the meaningG.GPE.5of similarity for triangles as the equalityof all corresponding angles and theproportionality of all correspondingG.SRT.4,Parallel Lines andpairs of sides. [G.SRT.2] Prove the7.41/2G.SRT.5ProportionalPartstheorems about triangles. Theoremsinclude a line parallel to one side of atriangle divides the other twoproportionally, and conversely; and theG.SRT.4,Parts of SimilarPythagorean Theorem proved using7.51/2G.SRT.5Trianglestriangle similarity. [G.SRT.4] Usecongruence and similarity criteria fortriangles to solve problems and toprove relationships in geometricfigures. [G.SRT.5] Prove the slopecriteria for parallel and perpendicularlines, and use them to solve geometricproblems (find the equation of a linepareallel or perpendicular to a givenline that passes through a given point).Scale Drawings[G.GPE.5]G.MG.37.71 day6 Daysand ModelsReview Ch. 7Test Ch. 7DateTaughtObjectiveStandard11TextSectionSection Name0.9Simplfying squareroots & radicalsAdditionalResourcesSuggested TimeFrame (Block)1/2 dayCh. TimeFrame

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRYProve the theorems about triangles. Theoremsinclude a line parallel to one side of a triangledivides the other two proportionally, andconversely; and the Pythagorean Theoremproved using triangle similarity. [G.SRT.4] Usecongruence and similarity criteria for triangles tosolve problems and to prove relationships ingeometric figures. [G.SRT.5] Prove theoremsabout triangles. Theorems include measures ofinterior angles of a triangle sum is 180, baseangles of isosceles triangles are congruent, thesegment joining midpoints of two sides of atriangle is parallel to the third side and half thelength, and the medians of a triangle meet at apoint. [G.CO.10] Use trigonometric ratios and thePythagorean Theorem to solve right triangles inapplied problems.* [G.SRT.8] Apply geometricmethods to solve design problems (designing anobject or structure to satisfy physical constraintsor minimize cost, working with typographic gridsystems based on ratios)* [G.MG.3] Understandthat by similarity, side ratios in right triangles areproperties of the angles in the triangle leading todefinitions of trigonometric ratios for acuteangles. [G.SRT.6] Explain and use the relationshipbetweeen the sine and cosine of complementaryangles. [G.SRT.7] Derive the formula A 1/2 absin(C) for the area of a triangle by drawing anauxiliary line from a vertex perpendicular to theopposite side. [G.SRT.9] Prove the Law of Sinesand the Law of Cosines and use them to solveproblems. [G.SRT.10] Understand and apply theLaw of Sines and the Law of Cosines to findunknown measurements in right and non-righttriangles (surveying problems, resultant forces).[G.SRT.11] Find the point on a directed linesegment between two given points thatpartitions the segment in a given ratio. [G.GPE.6]G.SRT.4,G.SRT.5,G.CO.108.1Geometric Mean1 dayG.SRT.8,G.MG.38.2The PythagoreanTheorem and ItsConverse1/2 dayG.SRT.68.3Special RightTriangles2 daysG.SRT.6,G.SRT.78.4Trigonometry3 daysG.SRT.88.5Angles ofElevation andDepression1 dayG.SRT.9,G.SRT.10,G.SRT.118.6The Law of Sinesand Law ofCosines2 daysG.GPE.68.7Vectors1 day12 DaysReview Ch. 8Test Ch. 8DateTaughtObjectiveStandardTextSection11Section NameAdditionalResourcesSuggested TimeFrame (Block)Ch. TimeFrame

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRYDevelop definitions of rotations, refections, andtranslations in terms of angles, circles,perpendicular lines, parallel lines, and linesegments. [G.CO.4] Given a geometric figure anda rotation, reflection, or translation, draw thetransformed figure using graph paper, tracingpaper, or geometry software. Specify a sequenceof transformations that will carry a given figureonto another. [G.CO.5] Representtransformations in the plane using transparenciesand geometry software; describe transformationsas functions that take points in the plane asinputs and give other points as outputs. Comparetransformations that preserve distance and angleto those that do not (translation versus horizontalstretch) Identify the shapes of two-dimensionalcross-sections of three dimensional objects, andidentify three-dimensional objects generated byrotations of two-dimensional objects. [G.GMD.4]Given a rectangle, parallelogram, trapezoid, orregular polygon, describe the rotations andreflections that carry it onto itself. [G.CO.3] Makeformal geometric constructions with a variety oftools and methods such as compass andstraightedge, string, reflective devices, paperfolding, and dynamic geometric software.Constructions include copying a segment; copyingan angle; bisecting a segment; bisecting an angle;constructing perpendicular lines, including theperpendicular bisector of a line segment; andconstructing a line parallel to a given line througha point not on the line. [G.CO.12] Verifyexperimentally the properties of dilations givenby a center and a scale factor. [G.SRT.1] Explainhow the criteria for triangle congruence, angleside-angle (ASA), side-angle-side (SAS), and sideside-side (SSS), follow from the definition ofcongruence in terms of rigid motions. [G.CO.8]Use the properties of similarity transformationsto establish the angle-angle (AA) criterion for twotringles to be similar. [G.SRT.3]4.7Congruencetransformation1/2 ions1/2G.CO.2,G.CO.59.4Compositions SRT.1,G.CO.2,G.CO.8,G.SRT.39.6Dilations1/2Review Ch. 91 day6 Days

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRYTest Ch. 9DateTaughtObjectiveKnow precise definitions of angle, circle,perpendicular line, parallel line, and line segmentbased on the undefined notions of point, line,distance along a line, and distance around a circulararc. [G.CO.1] Prove that all circles are similar. [G.C.1]Identify and describe relationships among inscribedangles, radii, and chords. Include the relationshipbetween central, inscribed, and circumscribedangles; inscribed angles on a diameter are rightangles; the radius of a circle is perpendicular to thetangent where the radius intersects the circle.[G.C.2] Derive, using similarity, the fact that thelength of the arc intercepted by an angle isproportional to the radius, and define the radianmeasure of the angle as the constant ofproportionality; derive the formula for the area of asector. [G.C.5] Apply geometric methods to solvedesign problems (designing an object or structure tosatisfy physical constraints or minimize cost, workingwith typographic grid systems based on ratios)*[G.MG.3] Construct the inscribed and circumscribedcircles of a triangle, and prove properties of anglesfor a quadrilateral inscribed in a circle. [G.C.3] Makeformal geometric constructions with a variety oftools and methods such as compass andstraightedge, string, reflective devices, paper folding,and dynamic geometric software. Constructionsinclude 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 theline. [G.CO.12] Construct a tangent line from a pointoutside a given circle to the circle. [C.C.4] Constructan equilateral triangle, a square, and a regularhexagon inscribed in a circle. [G.CO.13] Derive theequation of a circle of given center and radius usingthe Pythagorean Theorem; complete the square tofind the center and radius of a circle given by anequation. [G.GPE.1] Find the point on a directed line1StandardTextSectionSection NameAdditionalResourcesSuggested TimeFrame (Block)G.CO.1, G.C.110.1Circles andCircumference1/2G.C.2, G.C.510.2Measuring Anglesand Arcs1/2G.C.2, G.MG.310.3Arcs and Chords1/2G.C.2, G.C.310.4Inscribed Angles1/2Ch. TimeFrame6 DaysG.CO.12,G.C.4,G.CO.13, G.C.310.5Tangents1/2

straightedge, string, reflective devices, paper folding,and dynamic geometric software. Constructionsinclude copying a segment; copying an angle;CITY CURRICULUMbisecting a segment; bisecting GADSDENan angle; constructingperpendicular lines, including the perpendicularbisector of a line segment; and constructing a lineparallel to a given line through a point not on theline. [G.CO.12] Construct a tangent line from a pointoutside a given circle to the circle. [C.C.4] Constructan equilateral triangle, a square, and a regularhexagon inscribed in a circle. [G.CO.13] Derive theequation of a circle of given center and radius usingthe Pythagorean Theorem; complete the square tofind the center and radius of a circle given by anequation. [G.GPE.1] Find the point on a directed linesegment between two given points that partitionsthe segment in a given ratio. [G.GPE.6]G.GPE.1,G.GPE.6,G.GPE.2GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY10.6Secants, tangents,& angle measures1/210.7Special segmentsin a circle1/210.8Equations ofCircles1/2Review Ch. 10Test Ch. 10DateTaughtObjectiveUse coordinates to compute perimeters ofpolygons and areas of triangles andrectangles, using the distance formula.*[G.GPE.7] Apply geometric methods to solvedesign problems (designing an object orstructure to satisfy physical constraints orminimize cost, working with typographicgrid systems based on ratios)* [G.MG.3]Apply concepts of density based on areaand volume in modeling situations (personsper square mile, British Thermal Units percubic foot)* [G.MG.2] Derive, usingsimilarity, the fact that the length of the arcintercepted by an angle is proportional tothe radius, and define the radian measureof the angle as the constant ofproportionality; derive the formula for thearea of a sector. [G.C.5] Give an nSection NameAdditionalResourcesSuggested TimeFrame (Block)1.62-D figures1/211.1Areas ofParallelogramsand Triangles1/211.2Areas ofTrapezoids,Rhombi, and Kites1/2Ch. TimeFrame5 Days

per square mile, British Thermal Units percubic foot)* [G.MG.2] Derive, usingsimilarity, the fact that thelength of thearc CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKGADSDENCITYintercepted by an angle is proportional toTEXT: GLENCOE GEOMETRYthe radius, and define the radian measureof the angle as the constant ofproportionality; derive the formula for theG.C.5,Areas of Circlesarea of a sector. [G.C.5] Give an informal11.31/2aguement for the formulas for theG.GMD.1and Sectorscircumference of a circle; area of a circle;and volume of a cylinder, pyramid, andcone. Use dissection agruements,Cavalieri's principle, and informal limitarguments. [G.GMD.1] Use geometricAreas of Regularshapes, their measures, and their propertiesG.MG.311.4Polygons and1to describe objects (modeling a tree trunkor a human torso as a cylinder)* [G.MG.1]Composite FiguresDetermine areas and perimeters of regularpolygons, including inscribed orcircumscribed polygons, given thecoordinates of verticees or othercharacteristics. [AL]G.MG.111.5Areas of SimilarFigures1/2Review Ch. 11Test Ch. 11DateTaughtObjectiveIdentify the shapes of twodimensional cross-sections of threedimensional objects, and identifythree-dimensional objectsgenerated by rotations of twodimensional objects. [G.GMD.4]Apply geometric methods to solvedesign problems (designing anobject or structure to satisfyphysical constraints or minimizecost, working with typographic gridsystems based on ratios)* [G.MG.3]Use geometric shapes, theirmeasures, and their properties todescribe objects (modeling a treetrunk or a human torso as a5 Days1/21StandardTextSectionSection NameAdditionalResourcesSuggested TimeFrame (Block)G.GMD.41.73-D figures1/3G.MG.312.2Surface Areas ofPrisms andCylinders1/3Ch. TimeFrame

Apply geometric methods to solvedesign problems (designing anobject or structureto satisfyCITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKGADSDENphysical constraints or minimizeTEXT: GLENCOE GEOMETRYcost, working with typographic gridsystems based on ratios)* [G.MG.3]Surface Areas ofUse geometric shapes, theirG.MG.112.3Pyramids and1/3measures, and their properties toConesdescribe objects (modeling a treetrunk or a human torso as acyliner)* [G.MG.1] Give an informalargument for the formulas for theG.GMD.1,Volumes of Prisms12.41/2circumference of a circle; area of aG.GMD.3and Cylinderscircle; and volume of a cylinder,pyramid, and cone. Use dissectionarguments, Cavalieri's principle,and informal limit arguments.Volumes ofG.GMD.1,[G.GMD.1] Use volume formulas12.5Pyramids and1/2G.GMD.3for cylinders, pyramids, cones, andConesspheres to solve problems.*[G.GMD.3] Determine theSurface Areas andrelationship between surface areasG.GMD.1,12.6Volumes of1/2of similar figures and volumes ofG.GMD.3Spheressimilar figures. [AL]12.8DateTaughtObjectiveUse permutations and combinations to compute probabilities ofcompound events and solve problems. [S.CP.9] Analyze decisionsand strategies using probability concepts (product testing, medicaltesting, pulling a hockey goalie at the end of a game). [S.MD.7]Apply geometric methods to solve design problems (designing anobject or structure to satisfy physical constraints or minimize cost,working with typographic grid systems based on ratios)* [G.MG.3]Use probabilities to make fair decisions (drawing by lots, using arandom number generator). [S.MD.6] Understand that two eventsA and B are independent if the probability of A and B occurringtogether is the product of their probabilities, and use thischaracterization to determine if they are independent. [S.CP.2]Understand the conditional probability of A given B as P(A andB)/P(B), and interpret independence of A and B as saying that theCongruent &similar solids1/2Review Ch. 121Test Ch. 121StandardTextSectionSection NameS.CP.90.3Simple Probability5 DaysAdditionalResourcesSuggested TimeFrame (Block)1/2Ch. TimeFrame

compound events and solve problems. [S.CP.9] Analyze decisionsand strategies using probability concepts (product testing, medicaltesting, pulling a hockey goalie at the end of a game). [S.MD.7]Apply geometric methods to solve design problems (designing anobject or structure to satisfy physical constraints or minimize cost,working with typographic grid systems based on ratios)* [G.MG.3]Use probabilities to make fair decisions (drawing by lots, using arandom number generator). [S.MD.6] Understand that two eventsA and B are independent if the probability of A and B occurringtogether is the product of their probabilities, and use thischaracterization to determine if they are independent. [S.CP.2]Understand the conditional probability of A given B as P(A andB)/P(B), and interpret independence of A and B as saying that theconditional probability of A given B is the same as the probabilityof A, and the conditional probability of B given A is the same as theprobability of B. [S.CP.3] Construct and interpret two-wayfrequency tables of data when two categories are associated witheach object being classified. Use the two-way table as a samplespace to decide if events are independent and to approximateconditional probabilities. Collect data from a random sample ofstudents in your school on their favorite subject amongmathematics, science, and English. Estimate the probability that arandomly selected student from your school will favor sciencegiven that the student is in tenth grade. Do the same for othersubjects and compare the results. [S.CP.4] Find the conditionalprobability of A given B as the fraction of B's outcomes that alsobelong to A, and interpret the answer in terms of the model.[S.CP.6] Describe events as subsets of a sample space (the set ofoutcomes), using characteristics (or categories) of the outcomes,or as unions, intersections, or complements of other events ("or","and", or "not") [S.CP.1] Apply the Addition Rule, P(A orB) P(A) P(B)-P(A and B), and interpret the anser in terms of themodel. [S.CP.7] Recognize and explain the concepts of conditionalprobability and independence in everyday language and everydaysituations. Compare the chance of having lung cancer if you are asmoker with the chance of being a smoker if you have long cancer.[S.CP.5] Apply ther general Multiplication Rule in a uniformprobability model,P(A andB) P(A)P(B/A) P(B)P(A/B), and interpret the answer in terms ofthe model. [S.CP.8] Use permutations and combinations tocompute probabilites of compound events and solve problems.[S.CP.9] Analyze decisions and strategies using probabilityconcepts (product testing, medical testing, pulling a hockey goalieat the end of a game) [S.MD.7]GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE MD.613.4Simulations1/23 DaysReview Ch. 13Test Ch. 13Review Semester ExamTest Semester Exam1/21213 Days

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS GEOMETRY BLOCKTEXT: GLENCOE GEOMETRY

GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKIL

TEXT: GLENCOE GEOMETRY G.CO.10, G.SRT.5 4.5 Proving Triangles Congruent-ASA, AAS 1/2 G.CO.10, G.CO.12 4.6 Isosceles and Equilateral Triangles 1/2 G.CO.10, G.GPE.4 4.8 Triangles and Coordinate Proof 1 day 1 day 1 Date Taught Objective Standard Text Section Section Name Additio