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Unit 1: Introduction to Geometry
Approximate Time: 11 days Month(s): August-Early September
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Review the basicterms/phrases thatare integral parts ofa geometry course
G.CO.1 Undefined Terms: point, line, plane;
collinear points, coplanar points,
line, (line) segment, endpoint, ray,
initial point, terminal point, opposite
rays, intersect, angle
1.2, Movie: The Dot and the Line
1 New Vocabulary G.CO.1 Postulate (Axiom), Theorem,
Corollary, 7 Basic Postulates
1.3
1 Measuring
Segments & Angles
G.GPE.4, length, distance, distance between
a point and a line, measure of an
angle, types of angles, congruent
segments, congruent angles,
segment addition postulate, angle
addition postulate
1.3,
1.4,1.5
include coordinate geometry problems
1 Distance formula G.GPE.4 Distance formula 1.5 Khan Academy Practice (5 in a row)https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formula
1 Segment and AngleBisectors
G.GPE.4, bisect, midpoint, segment bisector,
Midpoint formula, angle bisector
1.3,1.4,1.5
include coordinate geometry problems
Khan Academy Practice (midpoint formula)https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formula
Khan Academy Practice (Algebra and midpoints)https://www.khanacademy.org/math/cc-eighth-grade-
math/cc-8th-geometry/line-segment-
http://www.youtube.com/watch?v=4ZEuXA8Wr2ghttp://www.youtube.com/watch?v=4ZEuXA8Wr2ghttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segmenthttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segmenthttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segmenthttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segmenthttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/midpoint_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/distance_formulahttp://www.youtube.com/watch?v=4ZEuXA8Wr2g5/21/2018 Geometry Curriculum Map 2014-2015
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algebra/e/midpoint_of_a_segment
1 Constructions G.CO.12 Copy a segment, add segment
lengths, copy an angle, add angle
measures, construct the midpoint,
bisect an angle
Construction how-tos: Good for absentees or review athome (Math open Ref)http://www.mathopenref.com/tocs/constructionstoc.html
1 Equations of Paralleland PerpendicularLines
G.CO.12,G.GPE.4,G.GPE.5
parallel lines, perpendicular lines, 3.6,3.7
Parallel Perpendicular Songhttp://www.youtube.com/watch?v=HNw7KM-BYKM
Khan Academy Practice (Equations of Parallel andPerpendicular Lines)https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationships
1 Introduction toGeogebra
through-out
Construct segments, angles,parallel lines, perpendicular lines,
measure angles, measure
segments, construct midpoint,
angle bisector
8 Instructional Time
+3 Leeway/Quizzes/Test
Possible Tasks:MAP: Parallel & Perpendicular LInes (does refer to
rectangles)http://map.mathshell.org/materials/lessons.php?taskid=226
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segmenthttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segmenthttp://www.mathopenref.com/tocs/constructionstoc.htmlhttp://www.mathopenref.com/tocs/constructionstoc.htmlhttp://www.youtube.com/watch?v=HNw7KM-BYKMhttp://www.youtube.com/watch?v=HNw7KM-BYKMhttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttp://map.mathshell.org/materials/lessons.php?taskid=226http://map.mathshell.org/materials/lessons.php?taskid=226http://map.mathshell.org/materials/lessons.php?taskid=226http://map.mathshell.org/materials/lessons.php?taskid=226http://map.mathshell.org/materials/lessons.php?taskid=226https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttps://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/e/line_relationshipshttp://www.youtube.com/watch?v=HNw7KM-BYKMhttp://www.mathopenref.com/tocs/constructionstoc.htmlhttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segment5/21/2018 Geometry Curriculum Map 2014-2015
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Unit 2: Polygons
Approximate Time: 11 days Month(s): September
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Polygons Polygons (sides 3-12 named andsketched), vertices, sides,interior/exterior, convex/concave,equilateral/equiangular/regular,diagonals (maximum number ateach vertex, total number inpolygon), congruent polygons
6.1,11.1
1 Interior and ExteriorAngles of Polygons
Interior angle of a polygon, exteriorangle of a polygon, triangle sumtheorem, Polygon interior angle
sum, Exterior Angle Theorem
6.1,11.1
Extra credit opportunity? Octagon frisbee
1 Types of Triangles right triangle, acute triangle, obtuse
triangle, equilateral triangle,
isosceles triangle, scalene triangle
Khan Academy Practice (Recognizing Triangle Types)https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangles
Is this a rectangle?http://www.illustrativemathematics.org/illustrations/1302
Include coordinate geometry examples
1 PythagoreanTheorem & ItsConverses
G.CO.9,G.GPE.5,
Pythagorean Theorem,
Pythagorean triple, converse of the
Pythagorean theorems (9.5-9.7),
9.2,9.3,
Math Teacher Link (Good teacher resource. Check outthe Just Do It and Assignment links on each pagefor examples/problems for Pyth. Thm)http://mtl.math.uiuc.edu/node/29
I like the first two probs on this page (Pyth Thm)http://faculty.wiu.edu/JR-Olsen/wiu/ps/topics/pythag/prob1.htmPyth Thm and its Converse activityhttp://campuses.fortbendisd.com/campuses/documents
/Teacher/2013%5Cteacher_20130124_1719.pdf
http://almostunschoolers.blogspot.com/2012/05/paper-frisbee-geometry.htmlhttp://almostunschoolers.blogspot.com/2012/05/paper-frisbee-geometry.htmlhttps://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangleshttps://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangleshttps://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangleshttp://www.illustrativemathematics.org/illustrations/1302http://www.illustrativemathematics.org/illustrations/1302http://www.illustrativemathematics.org/illustrations/1302http://mtl.math.uiuc.edu/node/29http://mtl.math.uiuc.edu/node/29http://faculty.wiu.edu/JR-Olsen/wiu/ps/topics/pythag/prob1.htmhttp://faculty.wiu.edu/JR-Olsen/wiu/ps/topics/pythag/prob1.htmhttp://faculty.wiu.edu/JR-Olsen/wiu/ps/topics/pythag/prob1.htmhttp://campuses.fortbendisd.com/campuses/documents/Teacher/2013%5Cteacher_20130124_1719.pdfhttp://campuses.fortbendisd.com/campuses/documents/Teacher/2013%5Cteacher_20130124_1719.pdfhttp://campuses.fortbendisd.com/campuses/documents/Teacher/2013%5Cteacher_20130124_1719.pdfhttp://campuses.fortbendisd.com/campuses/documents/Teacher/2013%5Cteacher_20130124_1719.pdfhttp://campuses.fortbendisd.com/campuses/documents/Teacher/2013%5Cteacher_20130124_1719.pdfhttp://faculty.wiu.edu/JR-Olsen/wiu/ps/topics/pythag/prob1.htmhttp://faculty.wiu.edu/JR-Olsen/wiu/ps/topics/pythag/prob1.htmhttp://mtl.math.uiuc.edu/node/29http://www.illustrativemathematics.org/illustrations/1302http://www.illustrativemathematics.org/illustrations/1302https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangleshttps://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangleshttp://almostunschoolers.blogspot.com/2012/05/paper-frisbee-geometry.html5/21/2018 Geometry Curriculum Map 2014-2015
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Include coordinate geometry examples
1 Types ofQuadrilaterals
parallelogram, rectangle, rhombus,
square, trapezoid, isosceles
trapezoid, trapezium, kite
Khan Academy (Quadrilateral Types)https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_types
Include coordinate geometry examples
1 Review ofarea/perimeter ofparallelograms,rectangles, squares,trapezoids,triangles, circles
G.GPE.7 Area, Perimeter, Circumference, 1.7 Areas of squareshttp://fawnnguyen.com/2012/03/25/investigating-area-with-paper-folding.aspxDan Meyer 3 Act Obscure Geometryhttps://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0
A set of all points (Area of a Triangle)
http://www.illustrativemathematics.org/illustrations/1348Five Triangles #22 (Rect Perim), 72 (Para Area), 55(Rect Area), 23 (composite), 65, (trapezoid), Site hasLOTS of Triangle Area ProblemsMathaliciousViewmongus
2 ConstructingPolygons UsingGeogebra
G.CO.12G.CO.13
Construct: equilateral triangle,
isosceles triangle, right triangle,
parallelogram, rectangle, rhombus,
square, trapezoid, isosceles
trapezoid, kite, find area/perimeter
8 Instructional Time
+3 Leeway/Quizzes/Tests
Possible Task/Project: Recreate an image usingconstruction tools. Have students write-up theirconstruction steps. Trade directions (but not images)and have partner recreate your image based on yourinstructions. Compare results.http://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Co
nstruction%20Project.pdf
https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_typeshttps://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_typeshttps://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_typeshttp://fawnnguyen.com/2012/03/25/investigating-area-with-paper-folding.aspxhttp://fawnnguyen.com/2012/03/25/investigating-area-with-paper-folding.aspxhttp://fawnnguyen.com/2012/03/25/investigating-area-with-paper-folding.aspxhttps://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0http://www.illustrativemathematics.org/illustrations/1348http://www.illustrativemathematics.org/illustrations/1348http://www.illustrativemathematics.org/illustrations/1348http://www.mathalicious.com/lesson/viewmongus/http://www.mathalicious.com/lesson/viewmongus/http://www.mathalicious.com/lesson/viewmongus/http://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Miscellaneous/Construction%20Project.pdfhttp://www.mathalicious.com/lesson/viewmongus/http://www.illustrativemathematics.org/illustrations/1348http://www.illustrativemathematics.org/illustrations/1348https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0http://fawnnguyen.com/2012/03/25/investigating-area-with-paper-folding.aspxhttp://fawnnguyen.com/2012/03/25/investigating-area-with-paper-folding.aspxhttps://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_typeshttps://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_types5/21/2018 Geometry Curriculum Map 2014-2015
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Finding the Quadrilateral with largest possible areagiven one side http://fawnnguyen.com/don-stewards-complete-quadrilateral/
Perplexing Parallelograms by NCTMhttp://illuminations.nctm.org/uploadedFiles/Content/Les
sons/Resources/9-12/Para-AS-PerPara.pdf
http://fawnnguyen.com/don-stewards-complete-quadrilateral/http://fawnnguyen.com/don-stewards-complete-quadrilateral/http://fawnnguyen.com/don-stewards-complete-quadrilateral/http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/9-12/Para-AS-PerPara.pdfhttp://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/9-12/Para-AS-PerPara.pdfhttp://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/9-12/Para-AS-PerPara.pdfhttp://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/9-12/Para-AS-PerPara.pdfhttp://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/9-12/Para-AS-PerPara.pdfhttp://fawnnguyen.com/don-stewards-complete-quadrilateral/http://fawnnguyen.com/don-stewards-complete-quadrilateral/5/21/2018 Geometry Curriculum Map 2014-2015
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Unit 3: Rigid Transformations
Approximate Time: 14 days Month(s): September/October
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Introduction toTransformationsUsing Geogebra
preimage, image, Reflect polygonover various lines, Translatepolygon using various vectors,Rotate polygons about varyingpoints, and Dilate polygons tovarious points Have studentscompare preimage and image.(Congruent vs Similar),
7.1 Challenge students to create a line that will reflect apreimage onto itself. What must be true of the polygonfor this to work? What do we call this line of reflection?(Line of symmetry)
Challenge students to find a point of rotation that willrotate a figure onto itself. Is this possible for allpolygons? If not, what must be true of the polygon for itto work? Describe where the point of rotation lies.(Intersection of the diagonals - Center of the polygon)
2 Reflection G.CO.2,G.CO.3,G.CO.4,G.CO.5,G.CO.6
isometry, rigid transformation,reflection, line symmetry, function,line of reflection, coordinatenotation,
7.2 isos & equil tri,http://illuminations.nctm.org/LessonDetail.aspx?ID=U139---http://www.illustrativemathematics.org/illustrations/983 ---http://www.illustrativemathematics.org/illustrations/982 ---http://www.illustrativemathematics.org/illustrations/984 MathaliciousFace-Off
2 Translation G.CO.2,G.CO.4,G.CO.5,G.CO.6
translate (aka glide or slide),vector, magnitude, direction,component form, sum of 2 vectors,theorem 7.5
7.4 http://illuminations.nctm.org/LessonDetail.aspx?ID=L474
2 Rotation G.CO.2,G.CO.3,G.CO.4,G.CO.5,G.CO.6
rotation, rotational symmetry,order of rotation, theorem 7.3
7.3 http://illuminations.nctm.org/LessonDetail.aspx?ID=U138
2 Dilation G.CO.2, scale factor, dilate, similar 8.6 Recreate an image (by hand) using a given scale factor
http://illuminations.nctm.org/LessonDetail.aspx?ID=U139http://illuminations.nctm.org/LessonDetail.aspx?ID=U139http://illuminations.nctm.org/LessonDetail.aspx?ID=U139http://www.illustrativemathematics.org/illustrations/983http://www.illustrativemathematics.org/illustrations/983http://www.illustrativemathematics.org/illustrations/982http://www.illustrativemathematics.org/illustrations/982http://www.illustrativemathematics.org/illustrations/984http://www.illustrativemathematics.org/illustrations/984http://www.mathalicious.com/lesson/face-off/http://www.mathalicious.com/lesson/face-off/http://www.mathalicious.com/lesson/face-off/http://illuminations.nctm.org/LessonDetail.aspx?ID=L474http://illuminations.nctm.org/LessonDetail.aspx?ID=L474http://illuminations.nctm.org/LessonDetail.aspx?ID=L474http://illuminations.nctm.org/LessonDetail.aspx?ID=U138http://illuminations.nctm.org/LessonDetail.aspx?ID=U138http://illuminations.nctm.org/LessonDetail.aspx?ID=U138http://illuminations.nctm.org/LessonDetail.aspx?ID=U138http://illuminations.nctm.org/LessonDetail.aspx?ID=U138http://illuminations.nctm.org/LessonDetail.aspx?ID=L474http://illuminations.nctm.org/LessonDetail.aspx?ID=L474http://www.mathalicious.com/lesson/face-off/http://www.illustrativemathematics.org/illustrations/984http://www.illustrativemathematics.org/illustrations/982http://www.illustrativemathematics.org/illustrations/983http://illuminations.nctm.org/LessonDetail.aspx?ID=U139http://illuminations.nctm.org/LessonDetail.aspx?ID=U1395/21/2018 Geometry Curriculum Map 2014-2015
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G.SRT.1,G.SRT.2
polygons, reduction, enlargment
2 Compositions ofTransformations
G.CO.2,G.CO.5,G.CO.6
composition, glide reflection,double reflection across parallel orintersecting lines, theorem 7.6
7.5 http://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspx
11 Instructional Time
+3 Leeway/Quizzes/Test
Representing and Combining Transformations Taskhttp://map.mathshell.org/materials/lessons.php?taskid=490
Transforming 2D figureshttp://map.mathshell.org/materials/download.php?fileid=1538
http://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspxhttp://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspxhttp://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspxhttp://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspxhttp://map.mathshell.org/materials/lessons.php?taskid=490http://map.mathshell.org/materials/lessons.php?taskid=490http://map.mathshell.org/materials/lessons.php?taskid=490http://map.mathshell.org/materials/download.php?fileid=1538http://map.mathshell.org/materials/download.php?fileid=1538http://map.mathshell.org/materials/download.php?fileid=1538http://map.mathshell.org/materials/download.php?fileid=1538http://map.mathshell.org/materials/download.php?fileid=1538http://map.mathshell.org/materials/lessons.php?taskid=490http://map.mathshell.org/materials/lessons.php?taskid=490http://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspxhttp://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspxhttp://180days2012-13.fawnnguyen.com/2013/05/13/day-152---geometric-transformations.aspx5/21/2018 Geometry Curriculum Map 2014-2015
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Unit 4: Angles & Lines
Approximate Time: 9 days Month(s): October
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
2 Angle Pairs G.CO.9 complementary/supplementaryangles, complement, supplement,adjacent angles, vertical angles,linear pair, vertical anglestheorem, linear pair postulate,theorems 3.1, 3.2, 3.3
1.6 Khan Academy (Equations with Vertical Angles)https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2
1 Transversals ofLines
transversal, corresponding angles,consecutive interior angles,alternate interior angles, alternateexterior angles
2 Transversals ofParallel Lines
G.CO.9 Corresponding angles postulate,consecutive interior anglestheorem, alternate interior anglestheorem, alternate exterior anglestheorem, perpendicular transversaltheorem
Geogebra Investigation Angle Pairs and Transversals(Made by me)
Parking Lot Mathematics
Khan Academy (Equations with Congruent Angles)https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2
2 Proving Lines areParallel
G.CO.9 Corresponding angles converse,consecutive interior anglesconverse, alternate interior anglesconverse, alternate exterior anglesconverse, if two lines are parallelto the same line..., if two lines areperpendicular to the same line...
Jen Silvermath Variation tothis
7 Instructional Time
2 Quiz/Test Check summer school stuff (Placing restaurant, post
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2https://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edithttps://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edithttp://www.indiana.edu/~iucme/perspectives/44rigsby.pdfhttp://www.indiana.edu/~iucme/perspectives/44rigsby.pdfhttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2http://www.jensilvermath.com/2013/07/17/a-new-way-to-build-a-geometric-system/http://www.jensilvermath.com/2013/07/17/a-new-way-to-build-a-geometric-system/http://www.jensilvermath.com/2013/07/17/a-new-way-to-build-a-geometric-system/http://www.jensilvermath.com/2013/07/17/a-new-way-to-build-a-geometric-system/https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_2http://www.indiana.edu/~iucme/perspectives/44rigsby.pdfhttps://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edithttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/vertical_angles_25/21/2018 Geometry Curriculum Map 2014-2015
9/25
office, etc)
5/21/2018 Geometry Curriculum Map 2014-2015
10/25
Unit 5: Triangle Congruence
Approximate Time: 11 Month(s): October/November
ApproximateTime
ncepts/Skills CCSS Vocabulary Text Resources
1 Triangles & theirangles
G.CO.10 triangle sum theorem, exteriorangle theorem, corollary to thetriangle sum theorem,
Five Triangles has LOTS of Triangle Sum ProblemsRevisit theGeogebra Investigation#2,4.Paper Folding Triangle Activity
1 Inequalities inTriangles
Unnamed theorems (the smallestside is opp. the smallest angle &vice versa) exterior angleinequality, triangle inequality,hinge theorem and its converse
NCTM Triangle Inequalities Investigationhttp://illuminations.nctm.org/Lesson.aspx?id=2339
Khan Academy Triangle Inequality Practicehttps://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequa
lity_theorem
1 Congruence andTriangles
G.CO.6,G.CO.7
congruent polygons, third anglestheorem
Are the triangles congruent?http://www.illustrativemathematics.org/illustrations/33
2 Proving trianglesare congruent
G.CO.8,G.CO.10,G.GPE.4
SAS, SSS, ASA, AAS, HL Khan Academy Congruent Triangles 1https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1
Khan Academy Congruent Triangles 2https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2
2 Using congruenttriangles
G.CO.10,G.GPE.4
CPCTC
1 Right, isosceles,and equilateraltriangles
G.CO.10,G.GPE.4
Base angles theorem and itsconverse, corollary to the baseangles theorem,
8 Instructional
https://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edithttps://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edithttps://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edithttps://docs.google.com/document/d/1djSnDy1R2xR2J9YVwoQAssjBGfKl4nKv4R3F3m8H6zk/edithttps://docs.google.com/document/d/1djSnDy1R2xR2J9YVwoQAssjBGfKl4nKv4R3F3m8H6zk/edithttp://illuminations.nctm.org/Lesson.aspx?id=2339http://illuminations.nctm.org/Lesson.aspx?id=2339https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttps://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttps://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttps://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttp://www.illustrativemathematics.org/illustrations/33http://www.illustrativemathematics.org/illustrations/33https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1http://www.illustrativemathematics.org/illustrations/33https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttps://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttps://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theoremhttp://illuminations.nctm.org/Lesson.aspx?id=2339https://docs.google.com/document/d/1djSnDy1R2xR2J9YVwoQAssjBGfKl4nKv4R3F3m8H6zk/edithttps://docs.google.com/document/d/1DYQemfwlEHIsP9tSH3-RLd3UZ_kwHjfLYHZCJfYxQb0/edit5/21/2018 Geometry Curriculum Map 2014-2015
11/25
Time
+3 Leeway/Quizzes/Tests
Congruent Triangles Task MAPhttp://map.mathshell.org/materials/download.php?fileid=1302
http://map.mathshell.org/materials/download.php?fileid=1302http://map.mathshell.org/materials/download.php?fileid=1302http://map.mathshell.org/materials/download.php?fileid=1302http://map.mathshell.org/materials/download.php?fileid=1302http://map.mathshell.org/materials/download.php?fileid=13025/21/2018 Geometry Curriculum Map 2014-2015
12/25
Unit 6: Triangle Centers
Approximate Time: 9 Month(s): November/December
ApproximateTime
Concepts/Skills CCSS Vocabulary Text-book
Resources
1 Perpendicular &angle bisectors
G.CO.10 equidistant, perpendicular bisectortheorem, angle bisector theorem
http://www.illustrativemathematics.org/illustrations/508 ---http://www.illustrativemathematics.org/illustrations/967 Five Triangles #41
1 InvestigatingPoints ofConcurrency usingGeogebra
through-out
2 Bisectors of aTriangle
G.CO.10,G.CO.12,G.CO.13,G.C.3,G.GPE.4
concurrent lines, point ofconcurrency, perpendicularbisectors of a triangle, anglebisectors of a triangle,circumcenter, circumscribed circle,incenter, inscribed circle,concurrency of perpendicularbisectors of a triangle theorem,concurrency of angle bisectors ofa triangle theorem
Construct these by hand, as well as with patty paper.
2 Medians andAltitudes of aTriangle
G.CO.10,G.CO.12,G.GPE.4
median of a triangle, centroid,concurrency of the medians of atriangle, altitude of a triangle,orthocenter, concurrency of thealtitudes of a triangle
Construct these by hand, as well as with patty paper.
6 InstructionalTime
+3 Leeway/Quizzes/Tests
Possible Tasks:Circumcenter Task
http://www.utdanacenter.org/k12mathbenchmarks/tasks
http://www.illustrativemathematics.org/illustrations/508http://www.illustrativemathematics.org/illustrations/508http://www.illustrativemathematics.org/illustrations/967http://www.illustrativemathematics.org/illustrations/967http://www.utdanacenter.org/k12mathbenchmarks/tasks/4_chineserestaurant.phphttp://www.utdanacenter.org/k12mathbenchmarks/tasks/4_chineserestaurant.phphttp://www.illustrativemathematics.org/illustrations/967http://www.illustrativemathematics.org/illustrations/5085/21/2018 Geometry Curriculum Map 2014-2015
13/25
/4_chineserestaurant.php
Could this be modified?http://www.nsa.gov/academia/_files/collected_learning/high_school/algebra/geometer_jones.pdf
THIS SHOULD BE THE END OF FIRST SEMESTER. (I think.)
http://www.utdanacenter.org/k12mathbenchmarks/tasks/4_chineserestaurant.phphttp://www.utdanacenter.org/k12mathbenchmarks/tasks/4_chineserestaurant.phphttp://www.nsa.gov/academia/_files/collected_learning/high_school/algebra/geometer_jones.pdfhttp://www.nsa.gov/academia/_files/collected_learning/high_school/algebra/geometer_jones.pdfhttp://www.nsa.gov/academia/_files/collected_learning/high_school/algebra/geometer_jones.pdfhttp://www.nsa.gov/academia/_files/collected_learning/high_school/algebra/geometer_jones.pdfhttp://www.nsa.gov/academia/_files/collected_learning/high_school/algebra/geometer_jones.pdfhttp://www.utdanacenter.org/k12mathbenchmarks/tasks/4_chineserestaurant.php5/21/2018 Geometry Curriculum Map 2014-2015
14/25
Unit 7: Quadrilaterals
Approximate Time: 13 Month(s): January
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Review of
polygons
Interior angles sum, exterior
angles sum, definitions ofquadrilaterals
Five Triangles #11 (Students may need to use patty
paper to make a physical model.)
2 Properties ofParallelograms
G.CO.11,G.GPE.4
If a quadrilateral is aparallelogram, then: both pairs ofopposite sides are congruent, bothpairs of opposite angles arecongruent, an interior angle issupplementary to both of itsconsecutive interior angles, thediagonals bisect each other
Five Triangles #43http://fivetriangles.blogspot.com/2013/01/43-parallelograms.html
FIve Triangles #121http://fivetriangles.blogspot.com/2013/12/121-parallelogram-exercise.html
2 Proving aquadrilateral is aparallelogram
G.CO.11,G.GPE.4
A quadrilateral is a parallelogramif: (converse of the 4 theoremslisted in cell above), one pair ofopposite sides are congruent andparallel, both pairs of oppositesides are parallel
2 Rhombuses,Rectangles andSquares
G.CO.11,G.CO.13,G.GPE.4
A parallelogram is a rhombus ifand only if its diags are perp, apara is a rhom iff each diag bisects
a pair of opp angles, a para is arect iff its diags are congruent
Five Triangles #55http://fivetriangles.blogspot.com/2013/04/55-squares.html
Five Triangles #92 September Squareshttp://fivetriangles.blogspot.com/2013/09/92-september-squares.html
Five Triangles #22 Perimeter and Areahttp://fivetriangles.blogspot.com/2012/04/21-perimeter-and-area.html
2 Trapezoids andKites
G.CO.11,G.CO.12.
If a trap is isosceles, then eachpair of base angles are congruent.
Five Triangles #86 (Hint: unfold the paper)http://fivetriangles.blogspot.com/2013/07/86-
http://fivetriangles.blogspot.com/2013/01/43-parallelograms.htmlhttp://fivetriangles.blogspot.com/2013/01/43-parallelograms.htmlhttp://fivetriangles.blogspot.com/2013/01/43-parallelograms.htmlhttp://fivetriangles.blogspot.com/2013/12/121-parallelogram-exercise.htmlhttp://fivetriangles.blogspot.com/2013/12/121-parallelogram-exercise.htmlhttp://fivetriangles.blogspot.com/2013/12/121-parallelogram-exercise.htmlhttp://fivetriangles.blogspot.com/2013/04/55-squares.htmlhttp://fivetriangles.blogspot.com/2013/04/55-squares.htmlhttp://fivetriangles.blogspot.com/2013/04/55-squares.htmlhttp://fivetriangles.blogspot.com/2013/09/92-september-squares.htmlhttp://fivetriangles.blogspot.com/2013/09/92-september-squares.htmlhttp://fivetriangles.blogspot.com/2013/09/92-september-squares.htmlhttp://fivetriangles.blogspot.com/2012/04/21-perimeter-and-area.htmlhttp://fivetriangles.blogspot.com/2012/04/21-perimeter-and-area.htmlhttp://fivetriangles.blogspot.com/2012/04/21-perimeter-and-area.htmlhttp://fivetriangles.blogspot.com/2013/07/86-boomerang.htmlhttp://fivetriangles.blogspot.com/2013/07/86-boomerang.htmlhttp://fivetriangles.blogspot.com/2012/04/21-perimeter-and-area.htmlhttp://fivetriangles.blogspot.com/2012/04/21-perimeter-and-area.htmlhttp://fivetriangles.blogspot.com/2013/09/92-september-squares.htmlhttp://fivetriangles.blogspot.com/2013/09/92-september-squares.htmlhttp://fivetriangles.blogspot.com/2013/04/55-squares.htmlhttp://fivetriangles.blogspot.com/2013/04/55-squares.htmlhttp://fivetriangles.blogspot.com/2013/12/121-parallelogram-exercise.htmlhttp://fivetriangles.blogspot.com/2013/12/121-parallelogram-exercise.htmlhttp://fivetriangles.blogspot.com/2013/01/43-parallelograms.htmlhttp://fivetriangles.blogspot.com/2013/01/43-parallelograms.html5/21/2018 Geometry Curriculum Map 2014-2015
15/25
G.GPE.4 If a trap has a pair of congruentbase angles, then it is isosceles.
A trapezoid is isos iff its diags arecongruent. midsegment of atrapezoid, The midsegment of atrapezoid is parallel to both basesand its length is the average of the
lengths of the two bases. If aquad is a kite, then its diags areperp. If a quad is a kite, thenexactly one pair of opp angles arecongruent.
boomerang.html
Five Triangles #144 (Modify to accommodate for thelack of knowledge about points of tangency and radii.)http://fivetriangles.blogspot.com/2014/02/144-semicircle-inscribed-in.html
1 Quadrilaterals andCoordinateGeometry
G.GPE.4 6.6
10 InstructionalTime
+ 3 Leeway/Quizzes/Tests
Some of the days allotted abovecould be used with Geogebra.
Possible Tasks:
Dividing a Parallelogram into 2 congruent partshttp://www.utdanacenter.org/k12mathbenchmarks/tasks/8_congruence.php
Five Triangles #72: Areas in Parallelogramshttp://fivetriangles.blogspot.com/2013/05/72-parallelogram.html(See Fawns post regarding thisproblem and a solution/extension)
Five Triangles #23: Changing Areahttp://fivetriangles.blogspot.com/2012/04/23-changing-area.html
http://fivetriangles.blogspot.com/2013/07/86-boomerang.htmlhttp://fivetriangles.blogspot.com/2013/07/86-boomerang.htmlhttp://fivetriangles.blogspot.com/2014/02/144-semicircle-inscribed-in.htmlhttp://fivetriangles.blogspot.com/2014/02/144-semicircle-inscribed-in.htmlhttp://fivetriangles.blogspot.com/2014/02/144-semicircle-inscribed-in.htmlhttp://www.utdanacenter.org/k12mathbenchmarks/tasks/8_congruence.phphttp://www.utdanacenter.org/k12mathbenchmarks/tasks/8_congruence.phphttp://www.utdanacenter.org/k12mathbenchmarks/tasks/8_congruence.phphttp://fivetriangles.blogspot.com/2013/05/72-parallelogram.htmlhttp://fivetriangles.blogspot.com/2013/05/72-parallelogram.htmlhttp://fivetriangles.blogspot.com/2013/05/72-parallelogram.htmlhttp://fivetriangles.blogspot.com/2012/04/23-changing-area.htmlhttp://fivetriangles.blogspot.com/2012/04/23-changing-area.htmlhttp://fivetriangles.blogspot.com/2012/04/23-changing-area.htmlhttp://fivetriangles.blogspot.com/2012/04/23-changing-area.htmlhttp://fivetriangles.blogspot.com/2012/04/23-changing-area.htmlhttp://fivetriangles.blogspot.com/2013/05/72-parallelogram.htmlhttp://fivetriangles.blogspot.com/2013/05/72-parallelogram.htmlhttp://www.utdanacenter.org/k12mathbenchmarks/tasks/8_congruence.phphttp://www.utdanacenter.org/k12mathbenchmarks/tasks/8_congruence.phphttp://fivetriangles.blogspot.com/2014/02/144-semicircle-inscribed-in.htmlhttp://fivetriangles.blogspot.com/2014/02/144-semicircle-inscribed-in.htmlhttp://fivetriangles.blogspot.com/2013/07/86-boomerang.html5/21/2018 Geometry Curriculum Map 2014-2015
16/25
Unit 8: Similarity
Approximate Time: 11 Month(s): January/February
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Review ofDilations
G.SRT.1a,G.SRT.1b,G.CO.12
dilation, scale factor, reduction,enlargement, similar polygons
Illustrative Mathematics Similar Quadrilateralshttps://www.illustrativemathematics.org/illustrations/1858
Class Project Idea (Dont show them the finished image.Give each student one square to enlarge)http://www.pinterest.com/pin/273664114829950796/
2 Similar Triangles G.SRT.2,G.SRT.3,
G.SRT.4,G.SRT.5,G.GPE.4,G.GPE.6,G.CO.10,
similar triangles, AA~, SAS~,SSS~,
Five Triangles #83http://fivetriangles.blogspot.com/2013/07/83-
construction-of-equal-angles.html
Five Triangles #56http://fivetriangles.blogspot.com/2013/04/56-obtuse-triangle-area.html
Illustrative Mathematics Similar Triangles (omit part c)https://www.illustrativemathematics.org/illustrations/1901
1 Proportions &Similar Triangles
G.SRT.4,G.SRT.5,
Midsegment Theorem ofTriangles, Triangle ProportionalityTheorem, Converse of theTriangle Proportionality Theorem
1 Proportions &similar triangles
G.SRT.4,G.SRT.5,G.GPE.4,G.GPE.6,G.CO.10
thms 8.6 and 8.7 in the textbook, Five Triangles #16 (Shadows)http://fivetriangles.blogspot.com/2012/04/16-shadows.html
https://www.illustrativemathematics.org/illustrations/1858https://www.illustrativemathematics.org/illustrations/1858https://www.illustrativemathematics.org/illustrations/1858http://www.pinterest.com/pin/273664114829950796/http://www.pinterest.com/pin/273664114829950796/http://fivetriangles.blogspot.com/2013/07/83-construction-of-equal-angles.htmlhttp://fivetriangles.blogspot.com/2013/07/83-construction-of-equal-angles.htmlhttp://fivetriangles.blogspot.com/2013/07/83-construction-of-equal-angles.htmlhttp://fivetriangles.blogspot.com/2013/04/56-obtuse-triangle-area.htmlhttp://fivetriangles.blogspot.com/2013/04/56-obtuse-triangle-area.htmlhttp://fivetriangles.blogspot.com/2013/04/56-obtuse-triangle-area.htmlhttps://www.illustrativemathematics.org/illustrations/1901https://www.illustrativemathematics.org/illustrations/1901https://www.illustrativemathematics.org/illustrations/1901http://fivetriangles.blogspot.com/2012/04/16-shadows.htmlhttp://fivetriangles.blogspot.com/2012/04/16-shadows.htmlhttp://fivetriangles.blogspot.com/2012/04/16-shadows.htmlhttp://fivetriangles.blogspot.com/2012/04/16-shadows.htmlhttp://fivetriangles.blogspot.com/2012/04/16-shadows.htmlhttps://www.illustrativemathematics.org/illustrations/1901https://www.illustrativemathematics.org/illustrations/1901http://fivetriangles.blogspot.com/2013/04/56-obtuse-triangle-area.htmlhttp://fivetriangles.blogspot.com/2013/04/56-obtuse-triangle-area.htmlhttp://fivetriangles.blogspot.com/2013/07/83-construction-of-equal-angles.htmlhttp://fivetriangles.blogspot.com/2013/07/83-construction-of-equal-angles.htmlhttp://www.pinterest.com/pin/273664114829950796/https://www.illustrativemathematics.org/illustrations/1858https://www.illustrativemathematics.org/illustrations/18585/21/2018 Geometry Curriculum Map 2014-2015
17/25
2 Similarity in RightTriangles
theorems 9.1-9.3
1 Areas of SimilarPolygons
Bubble Wrap Area and Popping Rate problemhttp://www.pinterest.com/pin/273664114829905483/
8 InstructionalTime
+3 Leeway/Quizzes/Tests
Mathematics Assessment Project (relates toproportional thinking not triangles specifically)http://map.mathshell.org/materials/download.php?fileid=816
Pigs in a Blanket (Geoff Krall)http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/
Floodlights (MAP)http://map.mathshell.org/materials/download.php?fileid=1257
Im not sure how to incorporate this...Fawn Nyugens posthttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspx...Use this and have Ss find the
ratio of the radii of the three circles. Then have students construct using Geogebra - use similar, concentric circles, perpendicular lines and angle
bisectors to create points. Connect points to make graph...possibility
http://www.pinterest.com/pin/273664114829905483/http://www.pinterest.com/pin/273664114829905483/http://map.mathshell.org/materials/download.php?fileid=816http://map.mathshell.org/materials/download.php?fileid=816http://map.mathshell.org/materials/download.php?fileid=816http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://map.mathshell.org/materials/download.php?fileid=1257http://map.mathshell.org/materials/download.php?fileid=1257http://map.mathshell.org/materials/download.php?fileid=1257http://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://map.mathshell.org/materials/download.php?fileid=1257http://map.mathshell.org/materials/download.php?fileid=1257http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://emergentmath.com/2012/11/08/more-math-food-blogging-i-may-need-some-help-from-my-southern-friends/http://map.mathshell.org/materials/download.php?fileid=816http://map.mathshell.org/materials/download.php?fileid=816http://www.pinterest.com/pin/273664114829905483/5/21/2018 Geometry Curriculum Map 2014-2015
18/25
Unit 9: Right Triangles and Trigonometry
Approximate Time: 11 Month(s): February
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Similarity andTrigonometricRatios
G.SRT.6,G.SRT.7
trigonometry, sine, cosine,tangent, secant, cosecant,cotangent
2 Special righttriangles
45-45-90, 30-60-90 triangles, Illustrative Mathematics (Trig Ratios in Special RightTriangles)https://www.illustrativemathematics.org/illustrations/1902
1 Using trig ratios to
find missing sides(right triangles)
G.SRT.8 solve a triangle @stephreilly Hallway neon string triangles (Find locker
height. Favorited on twitter 8/4/14)
Mathalicious51-Foot Ladder
1 Using trig ratios tofind missingangles (Righttriangles)
G.SRT.8 inverse, inverse sine, inversecosine, inverse tangent
Five Triangles #155 Three missing angleshttp://fivetriangles.blogspot.com/2014/04/155-three-angle-sum.html
1 Solve non-righttriangles (law of
sines)
G.SRT.10,G.SRT.11
law of sines DERIVE it!
1 Solve non-righttriangles (law ofcosines)
G.SRT.10,G.SRT.11
law of cosines DERIVE it!
1 Areas of non-righttriangles
G.SRT.9 auxiliary line, MAP Circles and Triangles (Ratios)http://map.mathshell.org/materials/download.php?fileid=696
8 Instructional
Time
https://www.illustrativemathematics.org/illustrations/1902https://www.illustrativemathematics.org/illustrations/1902https://www.illustrativemathematics.org/illustrations/1902http://www.mathalicious.com/lesson/51-foot-ladder/http://www.mathalicious.com/lesson/51-foot-ladder/http://www.mathalicious.com/lesson/51-foot-ladder/http://fivetriangles.blogspot.com/2014/04/155-three-angle-sum.htmlhttp://fivetriangles.blogspot.com/2014/04/155-three-angle-sum.htmlhttp://fivetriangles.blogspot.com/2014/04/155-three-angle-sum.htmlhttp://map.mathshell.org/materials/download.php?fileid=696http://map.mathshell.org/materials/download.php?fileid=696http://map.mathshell.org/materials/download.php?fileid=696http://map.mathshell.org/materials/download.php?fileid=696http://map.mathshell.org/materials/download.php?fileid=696http://fivetriangles.blogspot.com/2014/04/155-three-angle-sum.htmlhttp://fivetriangles.blogspot.com/2014/04/155-three-angle-sum.htmlhttp://www.mathalicious.com/lesson/51-foot-ladder/https://www.illustrativemathematics.org/illustrations/1902https://www.illustrativemathematics.org/illustrations/19025/21/2018 Geometry Curriculum Map 2014-2015
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+3 Leeway/Quizzes/Tests
Illustrative Mathematics (angles in triangles)https://www.illustrativemathematics.org/illustrations/1905
IMP(Sine and Cosine of Complementary Angles)https://www.illustrativemathematics.org/illustrations/1443
Incorporate authentic modeling problems throughout this unit.
https://www.illustrativemathematics.org/illustrations/1905https://www.illustrativemathematics.org/illustrations/1905https://www.illustrativemathematics.org/illustrations/1905https://www.illustrativemathematics.org/illustrations/1443https://www.illustrativemathematics.org/illustrations/1443https://www.illustrativemathematics.org/illustrations/1443https://www.illustrativemathematics.org/illustrations/1443https://www.illustrativemathematics.org/illustrations/1443https://www.illustrativemathematics.org/illustrations/1905https://www.illustrativemathematics.org/illustrations/19055/21/2018 Geometry Curriculum Map 2014-2015
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Unit 10: Circles
Approximate Time: 18 Month(s): February/March
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Circles G.C.1,G.GPE.1,G.GPE.4
circle, congruent circles, similarcircles, equation of a circlecentered at the origin, equation ofa circle not centered at the origin
10.6 Khan Academy Practice identifying center and radius ofa circle given factored form.https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_1
Khan Academy Graphing Circles with equations givenin factored formhttps://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circles
Be sure to explain how the equation of a circle relates to
the Pythagorean Theorem.
MAP Equations of Circles 1http://map.mathshell.org/materials/download.php?fileid=1202Equations of Circles 2http://map.mathshell.org/materials/download.php?fileid=1247
1 Completing the
Square
trinomial, perfect square trinomial This is just meant to be a day to practice completing the
square for trinomials.
Khan Academy Practice with completing the squarehttps://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressions
1 Using Completingthe Square withEquations of
Circles
G..1,G.GPE.1,G.GPE.4
Khan Academy Identifying center and radius forequations not given in factored form.https://www.khanacademy.org/math/algebra2/conics_pr
ecalc/circles-tutorial-precalc/e/equation_of_a_circle_2
https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circleshttps://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circleshttps://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circleshttp://map.mathshell.org/materials/download.php?fileid=1202http://map.mathshell.org/materials/download.php?fileid=1202http://map.mathshell.org/materials/download.php?fileid=1202http://map.mathshell.org/materials/download.php?fileid=1247http://map.mathshell.org/materials/download.php?fileid=1247http://map.mathshell.org/materials/download.php?fileid=1247https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttps://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttps://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttps://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttps://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttps://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttps://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressionshttp://map.mathshell.org/materials/download.php?fileid=1247http://map.mathshell.org/materials/download.php?fileid=1247http://map.mathshell.org/materials/download.php?fileid=1202http://map.mathshell.org/materials/download.php?fileid=1202https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circleshttps://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circles5/21/2018 Geometry Curriculum Map 2014-2015
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Khan Academy Graphing circles whose equations arenot given in factoredform.https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/graphing_circles_2
2 G.C.2 chord, secant, tangent, point oftangency, secant segment,tangent segment, tangent circles,concentric circles, commontangents (internal and external),tangent is perpendicular to aradius drawn to the point oftangency (thm), 2 tangents drawnfrom same exterior point to thesame circle are congruent (thm)
10.1 Geogebra could be used here to discover thesetheorems.
Check the Circles book in closet for vocab practice.
2 Chords and Arcs G.C.2,G.C.3,G.C.5,
arc, minor arc, major arc,semicircle, congruent arcs,measure of an arc, congruentarcs, theorems 10.4-10.7 in thetextbook
10.2 Dan Meyers 3 Act Lucky Cowhttp://threeacts.mrmeyer.com/luckycow/
Mr. Stadels Elmo in a Microwavehttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.html
IMP Mutually Tangent Circleshttps://www.illustrativemathematics.org/illustrations/1006
2 Angles and Arcs G.C.2, central angle, inscribed angle,intercepted arc, theorems 10.8and 10.9
10.3
2 Polygons inCircles
G.C.2,G.C.3,G.GPE.4
Theorems 10.10 and 10.11 in thebook,
10.3 DIscuss what it means for a quadrilateral to be cyclic.Use Geogebra for this?
2 Tangents, Secantsand Chords of
circles
G.C.2, theorems 10.12-10.17 in thetextbook
10.4,10.5
http://threeacts.mrmeyer.com/luckycow/http://threeacts.mrmeyer.com/luckycow/http://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttps://www.illustrativemathematics.org/illustrations/1006https://www.illustrativemathematics.org/illustrations/1006https://www.illustrativemathematics.org/illustrations/1006https://www.illustrativemathematics.org/illustrations/1006https://www.illustrativemathematics.org/illustrations/1006http://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://mr-stadel.blogspot.com/2012/07/elmos-microwave-travel.htmlhttp://threeacts.mrmeyer.com/luckycow/5/21/2018 Geometry Curriculum Map 2014-2015
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2 Circumference andArea of Sectors
length of an arc, sector, area of asector, arc length corollary,
11.4 Areas of circleshttp://map.mathshell.org/materials/download.php?fileid=758
Area of Circle 3 Act Car Caravanhttp://threeacts.mrmeyer.com/carcaravan/ http://www.illustrativemathematics.org/illustrations/918
Five Triangles #40, 18, 12, 45 (Circle Areas) 59 & 48(Circumference)
15 InstructionalTime
+3 Leeway/Quizzes/Tests
Im not sure how to incorporate this...Fawn Nyugens posthttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspx...Use this and have Ss find the
ratio of the radii of the three circles. Then have students construct using Geogebra - use similar, concentric circles, perpendicular lines and angle
bisectors to create points. Connect points to make graph...possibility
http://map.mathshell.org/materials/download.php?fileid=758http://map.mathshell.org/materials/download.php?fileid=758http://map.mathshell.org/materials/download.php?fileid=758http://threeacts.mrmeyer.com/carcaravan/http://threeacts.mrmeyer.com/carcaravan/http://www.illustrativemathematics.org/illustrations/918http://www.illustrativemathematics.org/illustrations/918http://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://fawnnguyen.com/2012/05/25/roman-mosaic.aspxhttp://www.illustrativemathematics.org/illustrations/918http://threeacts.mrmeyer.com/carcaravan/http://map.mathshell.org/materials/download.php?fileid=758http://map.mathshell.org/materials/download.php?fileid=7585/21/2018 Geometry Curriculum Map 2014-2015
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Unit 11: Extending to Three Dimensions
Approximate Time: Month(s): April
ApproxTime
Concepts/Skills CCSS Vocabulary Text Resources
1 Review ofPolygons
Polygon Interior Angles Theorem,Polygon Exterior Angles Theorem
11.1
2 Areas of RegularPolygons
apothem, center of a polygon,central angle of a polygon, radiusof a polygon, circumscribed circle(inscribed polygon),
11.2
2 Polyhedra names of polyhedron, edge, face,vertex, Eulers theorem, lateralfaces, base, height, slant height,
hemisphere, oblique prism, net,Platonic solids, rightcone/prism/cylinder,
12.1 Preview of volume - I am a donuthttp://fawnnguyen.com/2012/04/16/i-am-a-donut.aspxVolume of a box (PreCalc type problem) - cut squares
from corner of paper and fold to make a box w/ no lid---Five Triangles #8 (visualizing exercise), 37
1 Representing 3Dobjects in 2D
cylinder, sphere, cone, prism,pyramid, cross-section
MAP 2D Representations of 3D objectshttp://map.mathshell.org/materials/lessons.php?taskid=439&subpage=concept
IMP Tennis Ballshttps://www.illustrativemathematics.org/illustrations/512
This would also be a good time to use the pictures ofstacked blocks from various views and kids recreatethem.
1 Surface Area &Volume of Prismsand Cylinders
G.GMD.3 surface area, lateral area, volume 12.2,12.3
3 Act You Pour I Choosehttp://mrmeyer.com/threeacts/youpourichoose/ Worlds Largest Coffee Cuphttp://mrmeyer.com/threeacts/hotcoffee/ Stadels 3 Act File Cabinet Stickieshttp://vimeo.com/album/1921928Maximizing Volume (MARS)
http://map.mathshell.org/materials/download.php?fileid=
http://fawnnguyen.com/2012/04/16/i-am-a-donut.aspxhttp://fawnnguyen.com/2012/04/16/i-am-a-donut.aspxhttp://map.mathshell.org/materials/lessons.php?taskid=439&subpage=concepthttp://map.mathshell.org/materials/lessons.php?taskid=439&subpage=concepthttp://map.mathshell.org/materials/lessons.php?taskid=439&subpage=concepthttps://www.illustrativemathematics.org/illustrations/512https://www.illustrativemathematics.org/illustrations/512http://mrmeyer.com/threeacts/youpourichoose/http://mrmeyer.com/threeacts/youpourichoose/http://mrmeyer.com/threeacts/hotcoffee/http://mrmeyer.com/threeacts/hotcoffee/http://vimeo.com/album/1921928http://vimeo.com/album/1921928http://map.mathshell.org/materials/download.php?fileid=806http://map.mathshell.org/materials/download.php?fileid=806http://vimeo.com/album/1921928http://mrmeyer.com/threeacts/hotcoffee/http://mrmeyer.com/threeacts/youpourichoose/https://www.illustrativemathematics.org/illustrations/512http://map.mathshell.org/materials/lessons.php?taskid=439&subpage=concepthttp://map.mathshell.org/materials/lessons.php?taskid=439&subpage=concepthttp://fawnnguyen.com/2012/04/16/i-am-a-donut.aspx5/21/2018 Geometry Curriculum Map 2014-2015
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806Five Triangles #63, 30, 51, 31, 14, 66MathaliciousCanalysis
1 Surface Area &volume ofPyramids andCones
G.GMD.3 12.2,12.3
1 Surface Area &Volume ofSpheres
G.GMD.3 Five Triangles #78MathaliciousThe Cheese that Goes Crunch
1 Solids of Rotation G.GMD.4 Five Triangles #68
1 Similar Solids Area, surface area and volume ofsimilar solids
3 Act Pencil Cuphttp://vimeo.com/album/2014533
11 Instructional
Time
+3 Leeway/Quizzes/Tests
MAP Volumes Lessonhttp://map.mathshell.org/materials/download.php?fileid=1280
Ice Cream Cone Task (Love this!)https://www.illustrativemathematics.org/illustrations/414
Indiana Jones and The Golden Statuehttps://www.illustrativemathematics.org/illustrations/143
9
Formulas will be provided as they appear on the PARCC High School Assessment Reference Sheet
http://map.mathshell.org/materials/download.php?fileid=806http://map.mathshell.org/materials/download.php?fileid=806http://www.mathalicious.com/lesson/canalysis/http://www.mathalicious.com/lesson/canalysis/http://www.mathalicious.com/lesson/canalysis/http://www.mathalicious.com/lesson/the-cheese-that-goes-crunch/http://www.mathalicious.com/lesson/the-cheese-that-goes-crunch/http://www.mathalicious.com/lesson/the-cheese-that-goes-crunch/http://vimeo.com/album/2014533http://vimeo.com/album/2014533http://vimeo.com/album/2014533http://map.mathshell.org/materials/download.php?fileid=1280http://map.mathshell.org/materials/download.php?fileid=1280http://map.mathshell.org/materials/download.php?fileid=1280https://www.illustrativemathematics.org/illustrations/414https://www.illustrativemathematics.org/illustrations/414https://www.illustrativemathematics.org/illustrations/1439https://www.illustrativemathematics.org/illustrations/1439https://www.illustrativemathematics.org/illustrations/1439https://www.illustrativemathematics.org/illustrations/1439https://www.illustrativemathematics.org/illustrations/1439https://www.illustrativemathematics.org/illustrations/414http://map.mathshell.org/materials/download.php?fileid=1280http://map.mathshell.org/materials/download.php?fileid=1280http://vimeo.com/album/2014533http://www.mathalicious.com/lesson/the-cheese-that-goes-crunch/http://www.mathalicious.com/lesson/canalysis/http://map.mathshell.org/materials/download.php?fileid=8065/21/2018 Geometry Curriculum Map 2014-2015
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1 day Conditional &BiconditionalStatements
conditional statement, hypothesis,
conclusion, converse, biconditional
statement
2.1,2.2
Card sort - Put em in order - as an intro.HW: Conditional and Biconditional Statements WS
1 Inductive &DeductiveReasoning
Inductive reasoning, deductive
reasoning, conjecture,
counterexample
1.1,2.3
Sherlock introhttps://www.youtube.com/watch?v=im4TYITM0VE
http://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1_2.pdf---http://www.pbs.org/wgbh/nova/education/activities/3011
_redbaron.html
1+ Angles and theirmeasures
G.CO.9,G.CO.12,
Right angle congruence theorem, 1.4,1.5
Midpts in a quadhttp://www.illustrativemathematics.org/illustrations/605
Five Triangles #80 (Angle Bisector of a Triangle - Extend AD and BC until they meet at F. Bisect angle F. Point of intersection of bisector and DCis P.)
https://www.youtube.com/watch?v=im4TYITM0VEhttps://www.youtube.com/watch?v=im4TYITM0VEhttp://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1_2.pdfhttp://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1_2.pdfhttp://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1_2.pdfhttp://www.pbs.org/wgbh/nova/education/activities/3011_redbaron.htmlhttp://www.pbs.org/wgbh/nova/education/activities/3011_redbaron.htmlhttp://www.pbs.org/wgbh/nova/education/activities/3011_redbaron.htmlhttp://www.illustrativemathematics.org/illustrations/605http://www.illustrativemathematics.org/illustrations/605http://www.illustrativemathematics.org/illustrations/605http://www.illustrativemathematics.org/illustrations/605http://www.pbs.org/wgbh/nova/education/activities/3011_redbaron.htmlhttp://www.pbs.org/wgbh/nova/education/activities/3011_redbaron.htmlhttp://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1_2.pdfhttp://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1_2.pdfhttps://www.youtube.com/watch?v=im4TYITM0VE