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Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 1 2017-2018
Unit 1 – Basics of Geometry G.GCO.1* Define angle, perpendicular line, line segment, ray, circle, and skew in terms of the undefined notions of point, line, and plane. Use geometric
figures to represent and describe real-world objects. G.GCO.11* Construct geometric figures using a variety of tools, including a compass, a straightedge, dynamic geometry software, and paper folding, and use
these constructions to make conjectures about geometric relationships. G.GGPE.6 Given two points, find the point on the line segment between the two points that divides the segment into a given ratio. G.GGPE.7* Use the distance and midpoint formulas to determine distance and midpoint in a coordinate plane, as well as areas of triangles and rectangles,
when given coordinates.
Unit 1 – Basics of Geometry
Concepts/Essential Knowledge Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GCO.1)
Terminology
Students should be able to define: ● point
● line ● plane
● intersection
● rays ● segments
● vertex, angle ● acute
● obtuse ● right
● postulate (if, then)
● theorem (if and only if) ● biconditional
● congruence ● parallel
● perpendicular
● Exploring Points and Planes
● Basic Terms Activities ● Points, Lines Planes Lesson Plan
1.2 1.3
1.4 2.2
2.3
0.5
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 2 2017-2018
Unit 1 – Basics of Geometry
Concepts/Essential Knowledge Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GCO.11)
Construct: ● Perpendicular bisector
● Angle bisector
● Congruent segments ● Congruent angles
● Basic Constructions
● Patty Paper Constructions ● Hands on Geometry Constructions
● Construction Worksheets
● http://jwilson.coe.uga.edu/EMAT6680Fa08/Kuzle/Instructional%20unit/Co
nstructions.html (history of construction & ideas) ● http://www.mathsisfun.com/geometry/constructions.html (step by step on
constructions)
1.6 0.5
(G.GGPE.6)
Midpoint formula Addition postulates
● midpoint formula ● segment bisector
● angle addition
● segment addition
● Midpoint of Segment
● Angle Additions
● Segment Addition ● Segment Addition String Activity
● Deriving Midpoint and Distance Formula ● Stuck in the Middle
● Whitebeard’s Treasure
● http://alex.state.al.us/lesson_view.php?id=26361 (midpoint of a segment)
1.7 1.0
(G.GGPE.7) Distance formula
● Deriving Midpoint and Distance Formula
● Lake Geometria Activity (Distance and Midpoint Formulas Activity)
● http://www.regentsprep.org/Regents/math/geometry/GCG3/Tdistance.htm
(Distance Formula Game) ● http://www.mathwarehouse.com/algebra/distance_formula/interactive-
distance-formula.php (Interactive Distance Formula)
1.7 1.0
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 3 2017-2018
Unit 2 Angles and Lines G.GCO.8* Prove and apply in mathematical and real-world contexts, theorems about lines and angles, including the following: G.GCO.8a vertical angles are congruents; G.GCO.8b when a transversal crosses parallel lines, alternate interior angles are interior angles are congruent, alternate exterior angles are congruent, and
consecutive interior angles are supplementary; G.GCO.8c any point on a perpendicular bisector of a line segment is equidistant from the endpoints of the segment; G.GCO.8d perpendicular lines form four right angles. G.GCO.11* Construct geometric figures using a variety of tools, including a compass, a straightedge, dynamic geometry software, and paper folding, and use
these constructions to make conjectures about geometric relationships. G.GGPE.5* Analyze slopes of lines to determine whether lines are parallel, perpendicular, or neither. Write the equation of a line passing through a given
point that is parallel or perpendicular to a given line. Solve geometric and real-world problems involving lines and slopes.
Unit 2 Angles and Lines
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
# of Blocks
(90 min)
(G.GCO.8, G.GCO.8a, G.GCO.8b, G.GCO.8c,
G.GCO.8d) Students should know properties of:
● Vertical angles ● Transversals
● Corresponding angles
● Angles Bisectors ● Alternate interior and exterior angles
● Perpendicular bisectors
● Parallel Lines Practice and Answers
● Vertical Angles ● Angle Bisectors
● Teaching Ideas for Angles ● Discovering Angles
● Discovery Lesson on Angles
● Angle and Perpendicular Bisector Discovery ● Worksheet on Angle Bisectors and Perpendicular Bisectors
● http://163.150.89.242/yhs/Faculty/AB/bagg/Geometry/images/Geometry
%20text%20PDFs/2.4.pdf (vertical angles Worksheet)
● http://www.superteacherideas.com/math5-geometry-angles.html (vertical angles with macaroni & popcorn)
● http://lessonplanspage.com/mathanglerelationshipsandparallellinespaperfoldingactivity810-htm/ (paper folding activity for angles)
● http://mathforum.org/sanders/exploringandwritinggeometry/proof.htm
1.5 3.1
3.2
3.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 4 2017-2018
Unit 2 Angles and Lines
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GGPE.5) ● Slopes of parallel and perpendicular lines
● Equations of parallel and perpendicular
lines
● Island Conquer Game
● Geoboard Area & Perimeter
● http://alex.state.al.us/lesson_view.php?id=24037 (Geometry City)
● https://sites.google.com/site/salamancamath/MathClasses/graphing/geometry-projects/garden-project (Creating a Garden Project)
3.3 3.4
3.7
3.8 2.0
(G.GGPE.5)
● Application problems of parallel and perpendicular lines
● City Project
● Common Core Activities for Parallel and Perpendicular ● Worksheet on Parallel and Perpendicular Equations
3.4
(G.GCO.11)
● Construct parallel and perpendicular lines using geometry tools
● Construct perpendicular bisectors and
circumcenters in triangles ● Construct angle bisectors and incenters in
triangles
● Concurrency with Patty paper ● Points of Concurrency worksheet
● Concurrency Word Search ● PowerPoint on Constructing Parallel and Perpendicular
● Worksheet on Constructing Parallels and Perpendiculars
● Paper Folding Activity for points of Concurrency ● Archeology and Points of Concurrency
● The Search for Pythagoras’ Treasure ● Points of Concurrency
3.6 5.2
0.5
Review and Unit Test 1.5
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 5 2017-2018
Unit 3 – Relationships in Triangles and Logic G.GCO.9* Prove, and apply in mathematical and real-world contexts, theorems about the relationship within and among triangles, including the following: G.GCO.9c the segment joining midpoints of two sides of a triangle is parallel to the third side of half the length; G.GCO.9d the medians of a triangle meet at a point. G.CO.10
G.GSRT.3* Prove that two triangles are similar suing the Angle-Angle criterion and apply the proportionality of corresponding sides to solve problems and
justify results. G.GSRT.4* Prove, and apply in mathematical and real-world contexts, theorems involving similarity about triangles, including the following: G.GSRT.4a A line drawn parallel to one side of a triangle divides the other two sides into parts of equal proportion. G.GSRT.4b If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
Unit 3 - Relationships in Triangles and Logic
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
# of Blocks
(90min)
(G.GCO.9) ● Two Column Proofs
● Law of Syllogism ● Paragraph Proof
● Different Methods of Proof
● http://www.mathsteacher.com.au/year7/ch09_polygons/02_anglesum/su
m.htm (Sum of Triangles) ● http://www.regentsprep.org/Regents/math/geometry/GP5/TRTri.htm
(Discover Triangle Sum) ● http://illuminations.nctm.org/ActivityDetail.aspx?ID=9 (Triangle Sums)
2.4
3.5 4.5
2.0
(G.GCO.9, G.GCO.9c, G.GCO.9d, G.GSRT.4, G.GSRT.4a, G.GSRT.4b)
● Side Splitter Theorem ● Geometric Mean
● Midsegements
● Midsegments Worksheet
● Geometric Mean Activity ● Constructing Midsegments Worksheet
● http://handsonmathinhighschool.blogspot.com/2012/07/made4math-
geometry-proofs.html (fill in proofs)
● http://www.thinkfun.com/smartplayblog/?p=186 (Chocolate Lab for Proofs)
● http://www.regentsprep.org/Regents/math/geometry/GP10/MidLineR.htm (Discovering Midsegments)
2.5 2.6
5.1 7.4
7.5
2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 6 2017-2018
Unit 3 - Relationships in Triangles and Logic
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90min)
(G.GSRT.3)
● AA
● How Tall is the Wall Activity
● Worksheet on Proving Triangles Similar ● Similar Triangles Project
7.3 1.0
Test Day and Review 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 7 2017-2018
Unit 4 – Triangle Congruency G.GCO.7* Prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg congruence
conditions. G.GCO.9a measures of interior angles or a triangle sum to 180°; G.GCO.9b base angles of isosceles triangles are congruent; G.GSRT.5* Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Unit 4 – Triangle Congruency
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
# of Blocks
(90 min)
(G.GCO.7, G.GCO.9a, G.GCO.9b)
● ASA, SAS, SSS
● Sum of angles in a triangle is 180° ● Base angles of Isosceles triangles are
congruent
● Congruent Triangle Patty ● Congruent Triangle Project
● Triangle Congruency Practice
● Triangle Congruency Quiz 1 and Quiz 2 ● Lesson on Congruent Triangles
● Discovering Congruent Triangles Lab ● Worksheet on Congruent Triangles
● Why not SSA
● http://www.youtube.com/watch?v=TPL12Tk7L6U (video on lesson to
teach triangle congruence) ● http://mste.illinois.edu/courses/ci303fa01/students/kethoms1/unitplan/day
4.html (Fetticini and Congruent Triangles) ● http://www.k12.hi.us/~mathappl/im12tri.htm (idea for teaching congruent
triangles)
● https://sites.google.com/site/salamancamath/MathClasses/graphing/geometry-projects/ch4-tri-tri-again-project (Build a Bridge)
2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 8 2017-2018
Unit 4 – Triangle Congruency
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.SRT.2)
● CPCTC ● AA
● Building Congruent Triangles ● Discovering Congruent Triangles
● Lesson on Discovering Triangle Congruence ● Similar Triangles and Heights
● Investigating Similar Triangles
● Investigating Similar Right Triangles
● http://illuminations.nctm.org/ActivityDetail.aspx?ID=4 (Activities for CPCTC)
● https://sites.google.com/site/salamancamath/ch8-measure-for-measure
(Star Gazing)
2.0
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 9 2017-2018
Unit 5 – Right Triangles G.GSRT.4c The square of the hypotenuse of a right triangle is equal to the sum of squares of the other two sides. G.GSRT.6* Understand how the properties of similar right triangles allow the trigonometric ratios to be defined and determine the sine, cosine, and tangent
of an acute angle in a right triangle. G.GSRT.7 Explain and use the relationship between the sine and cosine of complementary angles. G.GSRT.8* Solve right triangles in applied problems using trigonometric ratios and the Pythagorean Theorem.
Unit 5 – Right Triangles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
# of Blocks
(90 min)
(G.GSRT.4c)
● Pythagorean Theorem and its converse
● Pythagorean Theorem ● Pythagorean Theorem and Converse
● Pythagorean Theorem with Algebra
● Pythagorean Spiral Project and Rubric ● Developing the Pythagorean Theorem
● Pythagorean Theorem Activities ● Pythagorean Theorem Game
● http://www.nbclearn.com/nfl/cuecard/51220 (Geometry & the NFL)
● http://www.math-play.com/Pythagorean-Theorem-Jeopardy/Pythagorean-Theorem-Jeopardy.html (Jeopardy)
8.1 8.2
8.3 8.4
1.5
(G.GSRT.6, G.GSRT.7, G.GSRT.8)
● Sine, Cosine, Tangent ● Special Right Triangles
● Is the Handicap Ramp Legal?
● A Day at the Park ● Measuring Height with Trigonometry
● Water Balloon Launch Project
● Trigonometry Word Problems ● Investigating Trigonometry Ratios
● Trigonometry Activities ● Building Bridges Task
● Building Bridges Lesson ● Trigonometry Project
● http://blogs.warwick.ac.uk/emmacooke/entry/discovering_the_trig/ (discovering trig ratios)
3.5
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 10 2017-2018
Unit 5 – Right Triangles
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
CONTINUED FROM PREVIOUS PAGE
● http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/years7_10/teaching/trig.htm (Same shape lesson to explore trig ratios)
● http://illuminations.nctm.org/LessonDetail.aspx?id=L785 (Discover relationships of trig functions)
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L383 (trig ratios)
● http://www.teachengineering.org/view_activity.php?url=http://www.teachengineering.org/collection/cub_/activities/cub_navigation/cub_navigation_l
esson03_activity2.xml (Trig River Activity)
CONTINUED FROM PREVIOUS
PAGE
● Law of Sines and Cosines (Extension: This is not a standard, but if time allows,
please cover.)
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L703 (Develop law of sines)
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L704 (Develop law of
cosines) ● http://www.regentsprep.org/Regents/math/algtrig/ATT12/derivelawofsines
.htm (develop both) ● http://www.algebralab.org/lessons/lesson.aspx?file=Trigonometry_TrigLa
wSines.xml (Sines)
● https://www.teachingchannel.org/videos/laws-of-sines-cosines-lesson (applying laws of sine and cosine)
● http://hilbertshotel.wordpress.com/2013/01/27/a-better-law-of-sinescosines-project/ (Project)
● http://www.regentsprep.org/Regents/math/algtrig/ATT12/rescuelab.htm (Rescue Team Project)
● http://www.foresthills.edu/userfiles/161/Classes/5071/6.1-
6.2%20Applications%20Worksheet.pdf (Wksht) ● http://www.emathinstruction.com/sitebuildercontent/sitebuilderfiles/U9L5T
rigonometricApplications.pdf (Worksheet with applications)
8.5 8.6
1.0
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 11 2017-2018
BEGIN UNIT 6 BEFORE MIDTERM
MIDTERM EXAM
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 12 2017-2018
Unit 6 - Quadrilaterals G.GCO.10* Prove, and apply in mathematical and real-world contexts, theorems about parallelograms, including the following: G.GCO.10a opposite sides of a parallelogram are congruent; G.GCO.10b opposite angles of a parallelogram are congruent; G.GCO.10c diagonals of a parallelogram bisect each other; G.GCO.10d rectangles are parallelograms with congruent diagonals; G.GCO.10e a parallelogram is a rhombus if and only if the diagonals are perpendicular. G.GGPE.4* Use coordinates to prove simple geometric theorems algebraically.
Unit 6 - Quadrilaterals
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GCO.10, G.GCO.10a, G.GCO.10b, G.GCO.10c, G.GCO.10d, G.GCO.10e)
● Understand and prove properties of
parallelograms
● Introduction to Polygons
● Property Check List ● Fill in Properties of Quadrilaterals
● Parallelogram Worksheet ● Parallelogram Jigsaw Activity
● Shape Tree Diagram ● Trapezoid and Kite Worksheet
● Sidewalk Chalk Shapes
● http://www.nsa.gov/academia/_files/collected_learning/high_school/geom
etry/quadrilaterals1.pdf (Lessons on parallelograms with discovery) ● http://illuminations.nctm.org/LessonDetail.aspx?id=L350 (discover
properties)
● http://havefunteaching.com/songs/shape-songs/parallelogram-song/ (parallelogram song)
● http://www.learner.org/channel/schedule/printmat.phtml?printmat_id=97 (teaching activities)
● http://www.successlink.org/gti/lesson_unit-viewer.asp?lid=3385
(Investigating parallelograms) ● http://alex.state.al.us/lesson_view.php?id=3009 (parallelogram mystery)
● http://hiregloriagranum.weebly.com/uploads/8/0/1/0/8010192/mathematics_module_assignment_8.pdf (lesson on parallelograms)
● https://sites.google.com/site/salamancamath/MathClasses/graphing/geometry-projects/chapter-5-go-fly-a-kite (Making a Kite)
6.1
6.2 6.3
6.4
6.5 6.6
3.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 13 2017-2018
Unit 6 - Quadrilaterals
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GGPE.4)
● Prove most precise quadrilateral using coordinates using distance formula and
slope
● Determine the most precise quadrilateral formed by equations of lines
● http://www.regentsprep.org/Regents/math/geometry/GCG4/Coordinateres
ource.htm (coordinate challenge) ● http://www.regentsprep.org/Regents/math/geometry/GCG4/CoordinatepR
ACTICE.htm (practice proofs)
● http://www.atlanta.k12.ga.us/cms/lib/GA01000924/Centricity/Domain/262/Math_1_APS_Teacher_Edition_Unit_6.v5.pdf (several activities)
6.7
6.8 6.9
2.0
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 14 2017-2018
Unit 7 - Transformations G.GCO.2* Represent translations, reflections, rotations, and dilations of objects in the plane by using paper folding, sketches, coordinates, function notation,
and dynamic geometry software, and use various representations to help understand the effects of simple transformations and their compositions. G.GCO.3* Describe rotations and reflections that carry a regular polygon onto itself and identify types of symmetry of polygons, including line, point,
rotational, and self-congruence, and use symmetry to analyze mathematical situations. G.GCO.4* Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.GCO.5* Predict and describe the results of transformations on a given figure using geometric terminology from the definitions of the transformations, and
describe a sequence of transformations that maps a figure onto its image. G.GCO.6* Demonstrate that triangles and quadrilaterals are congruent by identifying a combination of translations, rotations, and reflections in various
representations that move one figure onto the other. G.GSRT.1 Understand a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center
unchanged. Verify experimentally the properties of dilations given by a center and a scale factor. Understand the dilation of a line segment is
longer or shorter in the ratio given by the scale factor. G.GSRT.2* Use the definition of similarity to decide if figures are similar and justify decision. Demonstrate that two figures are similar by identifying a
combination of translations, rotations, reflections, and dilations in various representations that move one figure onto the other.
Unit 7 - Transformations
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GCO.2, G.GCO.4)
● Preserving distance and angle measures when performing transformations.
● Transformations in terms of functions.
● Making a Tessellation with Patty Paper
● Penrose Tiles with Answers ● Wind Chime Project
● Exploring Geometric Transformations ● Transformation and Translation Lesson
● Flips and Turns
● Activities on Symmetry and Transformations
● http://www.mathsisfun.com/geometry/transformations.html (shows translations and transformations)
● http://www.regentsprep.org/Regents/math/geometry/GT2/indexGT2.htm (Translations)
● http://www.projectmaths.ie/students/cd-
strand1and2/docs4/spongebob.html (Symmetry of Sponge Bob) ● http://www.kidsmathgamesonline.com/geometry.html (Transformation
Games) ● http://staff.argyll.epsb.ca/jreed/math9/strand3/transformations.htm
(interactive on computer)
9.1
9.2 9.3
9.4
2.5
(G.GCO.2)
● Perform and determine transformations applied to rectangles, parallelograms,
trapezoids, and regular polygons.
(G.GCO.4)
● General properties of transformations such as equal distance from between
points in both preimage and post image.
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 15 2017-2018
Unit 7 - Transformations
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GCO.2)
● Construction of transformations (rotations).
9.1 9.2
9.3
9.4
0.5
(G.GCO.3, G.GCO.5, G.GCO.6)
● Determine if two shapes are congruent, then determine the composition of
transformations used.
● Geometry Rotation and Dilation
● http://www.superteacherworksheets.com/geometry/translation-rotation-
reflection-1_TZQTQ.pdf (Worksheet)
● http://www.superteacherworksheets.com/geometry/translation-rotation-reflection-2_TZQTM.pdf (Worksheet)
● http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-
Topic/Geometry/Transformational_Geometry/G.G.60.IdentifyingTransformations.pdf (identify transformations)
9.5 1.0
(G.GSRT.1, G.GSRT.2) ● Use scale factors to perform dilations on
lines, triangles, and polygons.
● Define/discover characteristics of dilations (picture on pg. 587)
● Dilation and Scale Factor Worksheet ● Scale Models
● Dilation Project ● Almagamation Art (Uses dilations, transformations, and translations)
● http://www.lemars.k12.ia.us/webfiles/mboyd/Pre-Algebra%20Textbook%20(e-edition)/Source/J9D13GAD.pdf (Dilations)
● http://tellier.edublogs.org/2011/10/24/super-size-me-project-3/ (supersize me project)
9.6
1.0
(G.GSRT.2)
● Determine if two shapes are similar, then determine the composition of
transformations used.
9.7
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 16 2017-2018
Unit 8 - Area G.GGPE.7* Use the distance and midpoint formulas to determine distance and midpoint in a coordinate plane, as well as areas of triangles and rectangles,
when given coordinates. G.GM.1* Use geometric shapes, their measures, and their properties to describe real-world objects.
Unit 8 - Area
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
# of Blocks
(90 min)
(G.GM.1)
● Application of areas of geometric shapes
Most of
Chapter 10
Throughout
Unit
(G.GGPE.7. G.GM.1)
● Find the area of: o Parallelograms
o Triangles
o Trapezoids o Rhombi
o Kites ● Use distance formula for computing area
and perimeter of shapes.
● Island Conquer Game
● Geoboard Area & Perimeter
● http://alex.state.al.us/lesson_view.php?id=24037 (Geometry City) ● https://sites.google.com/site/salamancamath/MathClasses/graphing/geom
etry-projects/garden-project (Creating a Garden Project)
10.1
10.2 2.0
(G.GGPE.7, G.GM.1) ● Determine area of regular polygons using:
o Properties of Special Right Triangles
o Trigonometry
● Circle Folding Activity
● http://nrich.maths.org/public/leg.php?code=97 (Various Activities)
● http://www.mathopenref.com/constinhexagon.html (Video to inscribe a hexagon)
● http://alex.state.al.us/lesson_view.php?id=32262 (Constructions using GeoGebra)
10.3
10.4 2.0
(G.GGPE.7)
● Use A = ½ ab sin(C) to find area of irregular triangles given SAS
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L577 (deriving area)
● http://www.regentsprep.org/Regents/math/algtrig/ATT13/areatriglesson.htm (How to derive)
10.5 0.5
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 17 2017-2018
Unit 9 – 3-Dimensional Figures G.GGMD.1* Explain the derivations of the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone. Apply
these formulas to solve mathematical and real-world problems. G.GGMD.2 Explain the derivation of the formulas for the volume of a sphere and other solid figures using Cavalieri’s principle. G.GGMD.3* Apply surface area and volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems and justify results. Include
problems that involve algebraic expressions, composite figures, geometric probability, and real-world applications. G.GGMD.4* Describe the shapes of two-dimensional cross-sections of three-dimensional objects and use those cross-sections to solve mathematical and real-
world problems. G.GM.1* Use geometric shapes, their measures, and their properties to describe real-world objects. G.GM.2 Use geometry concepts and methods to model real-world situations and solve problems using a model.
Unit 9 – 3-Dimensional Figures
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GGMD.4) ● Identify cross sections of 3D figures
● Identify that a cone is a rotation of a triangle, a sphere is a rotation of a circle,
and a cylinder is a rotation of a rectangle.
● Making Nets of 3 Dimensional Figures ● 3D Review (1st 2 Stages) and Key
● Review Surface Area
● Review Surface Area and Volume ● Household Item Project
● Exploring 3D Geometry ● Notes on Making 3D Shapes from Rotations
● Rotate to Form Solids
● Geometric Shape Project ● Geometry Treats
● http://www.ehow.com/info_7891957_ideas-teaching-cross-sections.html
(lots of ideas for presenting) ● http://ispeakmath.org/2012/05/28/volume-of-3d-shapes-with-play-doh
(play doh ideas)
11.1
3.0
(G.GMD.1, G.GMD.3, G.GM.1, G.GM2)
● Applications of geometric shapes such as objects in the classroom or a tree trunk.
● Surface Area
11.2 11.3
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 18 2017-2018
Unit 9 – 3-Dimensional Figures
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GMD.3, G.GM.1, G.GM2)
● Formulas: ➢ Circumference of a circle
➢ Area of a circle
➢ Volume of a cylinder, pyramid, and cone
● Student Formula Sheet
● Review Volume ● Inquiry Lesson on Circumference
● Parachutes and Circles ● Big Ideas Math – Circles and Circumference
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L573 (ratio of
circumference to diameter) ● http://alex.state.al.us/lesson_view.php?id=26202 (discovery lesson for
circumference) ● http://www.youtube.com/watch?v=YokKp3pwVFc (derive the formula for
Area) ● http://www.educationworld.com/a_tsl/archives/00-2/lesson0011.shtml
(derive area of circle)
● http://www.youtube.com/watch?v=SYJsrUby6Zg (target practice application)
● http://illuminations.nctm.org/ActivityDetail.aspx?ID=116 (investigation) ● http://www.cut-the-knot.org/Curriculum/Calculus/Cavalieri.shtml
(Cavalieri Principle)
● http://books.google.com/books?id=B4HPFu_-uaIC&pg=PA107&lpg=PA107&dq=activities+to+teach+cavalieri's+principl
e&source=bl&ots=YkhyrfJRcT&sig=1I_VPuV6EAv96Fb-Ui4Gvqc-KnU&hl=en&sa=X&ei=JV7sUbj2E6rj4APmhIDABg&ved=0CDkQ6AEwAg#v
=onepage&q=activities%20to%20teach%20cavalieri's%20principle&f=false (Activity for Cavalieri Prin)
11.4 3.0
(G.GGMD.2) ● Informal argument of Cavalieri’s principle
(G.GGMD.2, G.GMD.3, G.GM.1, G.GM2) ● Application of volume formulas
● Crush and Run ● http://www.learner.org/interactives/geometry/area_surface.html (surface
area and volume)
● http://www.scholastic.com/teachers/article/hands-ways-teach-area-and-volume (teaching ideas)
11.4
11.5
11.6
1.0
Review and Unit Test 2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 19 2017-2018
Unit 10 - Circles G.GCI.1 Prove that all circles are similar. G.GCI.2* Identify and describe relationships among inscribed angles, radii, and chords; among inscribed angles, central angles, and circumscribed angles;
and between radii and tangents to circles. Use those relationships to solve mathematical and real-world problems. G.GCI.3 Construct the inscribed and circumscribed circles of a triangle using a variety of tools, including a compass, a straightedge, and dynamic geometry
software, and prove properties of angles for a quadrilateral inscribed in a circle. G.GCI.4 Construct a tangent line to a circle through a point on the circle, and construct a tangent line from a point outside a given circle to the circle;
justify the process used for each construction. G.GCI.5* Derive the formulas for the length of an arc and the area of a sector in a circle and apply these formulas to solve mathematical and real-world
problems. G.GGPE.1* Understand that the standard equation of a circle is derived from the definition of a circle and the distance formula.
Unit 10 - Circles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference # of Blocks
(90 min)
(G.GCI.1) ● Prove circles are similar
● Ratios of circumference and area are similar
● Worksheet on Circles and Similarity
● Similarities in Circles and Arcs ● Sectors of Pizza
● Circles
● http://middleschoolatsage.weebly.com/uploads/5/2/5/8/5258770/g.c.1_g.
c.5_copy.pdf (Activities) ● http://www.geom.uiuc.edu/~dwiggins/conj44.html (Arcs)
● http://alex.state.al.us/lesson_view.php?id=26412 (Sector Area)
10.6
1.0
(G.GCI.2, G.GCI.5) ● Central angles and arc length are
proportional
● Area of a sector
10.6
10.7
(G.GCI.2, G.GCI.4)
● Identify and determine the relationships in the following:
➢ Central angle
➢ Inscribed angles ➢ Circumscribed angles
➢ Diameters ➢ Radii
➢ Chords ➢ Tangents
● Circle Intro ; Printable Circle Intro ; Circle Intro Answer ● Goat Farmer
● Pizza Problem
● Broken Pottery Activity ● Circle Worksheet
● Circle Conjectures ● Geometry Construction Project
● Tangent and Chord Properties
● http://freemotionquilting.blogspot.com/2010/01/day-123-angles-and-
circles.html (Quilt Project)
12.1
12.2 12.4
3.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 20 2017-2018
Unit 10 - Circles
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.GCI.5, G.GCI.3) ● Arc Addition Postulate
● Properties of angles for quadrilateral inscribed in a circle
● Opposite angles of inscribed quadrilateral
are supplementary ● Inscribed, circumscribed, angle bisector,
perpendicular bisector
● Discovering the Properties of an Inscribed Quadrilateral
● Points of Concurrency ● Constructions including Bisectors
● http://www.ck12.org/geometry/Inscribed-Quadrilaterals-in-Circles/ (videos and other things)
12.3 2.0
(G.GCI.1. G.GGPE.1)
● Determine the equation of a circle using:
➢ Radius and point ➢ Two points
➢ Completing the square ➢ Inscribed in an equilateral triangle
● Equation of a Circle Lab ● Inscribed Right Triangles
● http://www.youtube.com/watch?v=pZVufpgozCw (video to derive from Pythagorean Theorem)
● http://www.regentsprep.org/Regents/math/algtrig/ATE12/completesqlesson.htm (How to complete the square)
● http://alex.state.al.us/lesson_view.php?id=6690 (Circles)
12.5 2.0
Review and Unit Test ● Circle Review ● Circle Review 2
2.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 21 2017-2018
Unit 11 – Statistics
G.SPID.1* Select and create an appropriate display, including dot plots, histograms, and box plots, for data that includes only real numbers. G.SPID.2* Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets that include all
real numbers. G.SPID.3* Summarize and represent data from a single data set. Interpret differences in shape, center, and spread in the context of the data set,
accounting for possible effects of extreme data points (outliers).
Unit 11 - Statistics
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
# of Blocks
(90 min)
(G.SPID.1) ● Make dot plots, histograms, and box and
whisker plots with appropriate sets of data
● Fruit Loops Activity for Boxplots Worksheet ● Frequency Tables & Histogram worksheet
● Histogram Lesson Worksheet
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L737 (NBA Data)
● http://www.scholastic.com/browse/lessonplan.jsp?id=459 (Lesson to use histogram about flood damage)
N/A 1.5
(G.SPID.2)
● Calculate measures of spread (variance, standard deviation, range, and quartiles)
● Deriving Standard Deviation Worksheet
● Hair Measuring Activity Worksheet N/A 1.5
(G.SPID.2, G.SPID.3)
● Compare multiple sets of data using the
same type of display (such as one box plot to another box plot)
● Compare center and spread between two or more data sets
● http://www.educationworld.com/a_lesson/03/lp293-02.shtml (Using candy
colors to find mean, median, mode)
● http://www.proteacher.org/c/336_Mean,_Median,_and_Mode.html (Has several ideas)
● http://pinterest.com/carolann1956/mean-median-mode-and-range/ (Many ideas from pinterest)
N/A 1.0
Geometry Honors – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 22 2017-2018
Unit 11 - Statistics
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
# of Blocks (90 min)
(G.SPID.3)
● Calculate outliers using the interquartile
range ● Determine if a data value is an outlier
based on the standard deviation
● Effects of outliers worksheet
● http://illuminations.nctm.org/LessonDetail.aspx?ID=L455 (effects)
N/A 1.0
Review and Test 2.0
END OF COURSE EXAM