Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 1 - Preparing for Geometry S.MD.6 Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
S.MD.7 Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).
Unit 1 - Preparing for Geometry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(S.MD.6, S.MD.7) order of operations
experiment
trial
outcome
event
probability
theoretical probability
experimental probability
Order of Operations
Probability Activities
Rock Paper Scissors and Fairness
Real Life Probabilities
http://www.math.wichita.edu/history/activities/prob-act.html#rock
http://classroom.jc-schools.net/basic/math-prob.html
http://www.education.com/activity/probability-statistics/
http://www.scholastic.com/probabilitychallenge/
http://www.mathgoodies.com/worksheets/probability_wks.html (worksheets)
http://illuminations.nctm.org/LessonDetail.aspx?id=L248 (Game)
http://www.transum.org/software/sw/starter_of_the_day/Similar.asp?ID_Topic
=30 (starters) http://www.teachersdomain.org/resource/vtl07.math.data.pro.lpprobgame/
(Probability & Fairness)
http://illuminations.nctm.org/LessonDetail.aspx?id=L290 (Explorations in
chance) http://www.teachforever.com/2009/08/three-fun-probability-games-and.html
(Games)
0.3 0.4
1
0.5
0.6
2
ordered pair
x-coordinate
y-coordinate
quadrant
origin
Textbook – Quest
Sink It Captain
Virtual Girl Coordinate Grid Activities
http://www.math-
play.com/Coordinate%20Plane%20Game/Coordinate%20Plane%20Game.html (Name pt)
http://fcit.usf.edu/fcat8m/resource/activity/planet.htm (Human Coordinate
Plane)
0.7 3
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 2 – Tools of Geometry G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance
along a line, and distance around a circular arc.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.★
G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★
Unit 2 – Tools of Geometry
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
Day of Semester
(G.CO.1, G.CO.12, G.MG.1) undefined term
point, line
plane
collinear
coplanar
intersection
definition
defined term
space
line segment
betweenness of points
between
congruent segments
construction
Textbook – 1.1 Lab
Exploring Points and Planes
Planes and Space Activity
Index Cards Plane Intersection
Basic Constructions
Basic Terms Activities
Points, Lines, Planes Lesson Plan
Hands-on Geometry Constructions
Construction Worksheets
The Search for Pythagoras’ Treasure
http://jwilson.coe.uga.edu/EMAT6680Fa08/Kuzle/Instructional%20unit/Constru
ctions.html (history of construction & ideas) http://www.mathsisfun.com/geometry/constructions.html (step by step on
constructions)
1.1 1.2
4
(G.CO.1, G.CO.12, G.GPE.6) distance
irrational number
midpoint
segment bisector
Midpoint of Segment
Angle Additions
Segment Additions
Segment Addition String Activity
Deriving Midpoint and Distance Formula
Stuck in the Middle
http://alex.state.al.us/lesson_view.php?id=26361 (midpoint of a segment)
1.3
5
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 2 – Tools of Geometry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.1, G.CO.12, G.SRT.7) ray
opposite ray
side
angle
vertex
interior
exterior
degree
right angle
acute angle
obtuse angle
angle bisector
adjacent angle
linear pair
vertical angle
complementary angle
supplementary angle
perpendicular
Angle Bisectors
Vertical Angles
Teaching Ideas for Angles
Discovering Angles
Discovery Lesson on Angles
http://163.150.89.242/yhs/Faculty/AB/bagg/Geometry/images/Geometry%20te
xt%20PDFs/2.4.pdf (vertical angles Worksheet) http://www.superteacherideas.com/math5-geometry-angles.html (vertical
angles with macaroni & popcorn)
1.4 1.5
6
(G.GPE.7)
polygon
vertex of a polygon
concave
convex
n-gon
equilateral polygon
equiangular polygon
regular polygon
perimeter
circumference
area
Perimeter, Circumference and Area Practice
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)
1.6 7
Construction Review 8
Unit Test 9
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 3 – Reasoning and Proof G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior
angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic
geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 3 – Reasoning and Proof
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.9) algebraic proof
two column proof
formal proof
Textbook – Chapter 2 – Introduction to Proofs activity
Create a Proof Project
Proof Practice
Proof Activity
Practice LOD and LOS
2.6 10
(G.CO.9, G.CO.12) 2.7 11
(G.CO.9) 2.8 12
(G.MG.3) postulate
axiom
proof
theorem
deductive argument
paragraph proof
informal proof
2.5 13-14
Textbook – Chapter 2 - Proof Project 15
Unit Test 16
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 4 – Parallel Lines and Transversals G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance
along a line, and distance around a circular arc.
G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic
geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or
perpendicular to a given line that passes through a given point). G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 4 – Parallel Lines and Transversals
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
Day of Semester
(G.CO.1, G.CO.12)
parallel lines
skew lines
parallel planes
transversal
interior angle
exterior angle
consecutive interior angle
alternative interior angle
alternative exterior angle
corresponding angle
Textbook – Chapter 3 – Writing on desk activity
Discovering Parallel Lines
Parallel Lines Practice
Common Core Activities for Parallel and Perpendicular
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)
3.1 17
(G.CO.1, G.CO.9) 3.2 18
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 4 – Parallel Lines and Transversals
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.GPE.5) slope
rate of change
slope-intercept form
point-slope form
Worksheet on Parallel and Perpendicular Equations
What’s Slope Got to Do With It
Slope Intercept String Art Project
http://www.wyzant.com/help/math/geometry/lines_and_angles/parallel_and_pe
rpendicular (teach it) http://www.math-play.com/Slope-Intercept/Slope_Intercept.html (Write the
equation)
http://illuminations.nctm.org/LessonDetail.aspx?id=L782 (equations)
3.3 3.4
19
(G.CO.9, G.CO.12, G.MG.3)
equidistant
City Project
Write on Desk
Teaching Ideas for Angles
Worksheet on Angle Bisectors and Perpendicular Bisectors
Worksheet on Medians and Altitudes
Common Core Activities for Parallel and Perpendicular
Worksheet on Parallel and Perpendicular Equations
http://mathforum.org/sanders/exploringandwritinggeometry/proof.htm
http://jwilson.coe.uga.edu/EMAT6680Fa08/Kuzle/Instructional%20unit/Constru
ctions.html (history of construction & ideas)
http://www.mathsisfun.com/geometry/constructions.html (step by step on
constructions) http://163.150.89.242/yhs/Faculty/AB/bagg/Geometry/images/Geometry%20te
xt%20PDFs/2.4.pdf (vertical angles Worksheet)
http://www.superteacherideas.com/math5-geometry-angles.html (vertical
angles with macaroni & popcorn) http://lessonplanspage.com/mathanglerelationshipsandparallellinespaperfolding
activity810-htm/ (paper folding activity for angles)
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)
3.5
3.6
20
(G.CO.12, C.MG.3) distance formula
3.6 21
Unit Test 22
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 5 – Congruent Triangles G.CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures,
use the definition of congruence in terms of rigid motions to decide if they are congruent.
G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are
congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic
geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
G.GPE.4 Use coordinates to prove simple geometric theorems algebraically.
Unit 5 – Congruent Triangles
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
Day of Semester
(G.CO.10, G.CO.12, G.SRT.8) acute triangle
equiangular triangle
obtuse triangle
right triangle
equilateral triangle
isosceles triangle
scalene triangle
auxiliary line
exterior angles
remote interior angles
flow proof, corollary
Textbook – 4.2 Lab
Triangle Sum Activity
Triangle Sum with Algebra
Triangle Sum Theorem
Pythagorean Theorem with Algebra
Pythagorean Theorem and Converse
Pythagorean Spiral Project
Pythagorean Theorem Activities
Pythagorean Theorem Game
http://www.mathsteacher.com.au/year7/ch09_polygons/02_anglesum/sum.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)
http://www.nbclearn.com/nfl/cuecard/51220 (Geometry & the NFL)
http://www.math-play.com/Pythagorean-Theorem-Jeopardy/Pythagorean-
Theorem-Jeopardy.html (Jeopardy)
4.1 4.2
23
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 5 – Congruent Triangles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.7, G.CO.8, G.CO.10) congruent
congruent polygons
corresponding parts
included angle
Building Congruent Triangles
Congruent Triangle Patty
Congruent Triangle Project
Triangle Congruency Practice
Lesson on Congruent Triangles
Discovering Congruent Triangles
Discovering Congruent Triangles Lab
Worksheet on Congruent Triangles
Lesson on Discovering Triangle Congruence
http://mste.illinois.edu/courses/ci303fa01/students/kethoms1/unitplan/day4.ht
ml (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)
http://illuminations.nctm.org/ActivityDetail.aspx?ID=4 (Activities for CPCTC)
4.3
24
(G.SRT.5) included side
4.5 25
(G.CO.10, G.GPE.4)
coordinate proof
Triangle Congruency Proofs
Triangle Congruency Proofs Quiz
Fill in the Blank Triangle Proofs 1
Fill in the Blank Triangle Proofs 2
Triangle Congruency Quiz (1 and 2)
http://www.regentsprep.org/Regents/math/geometry/GCG4/Coordinateresource
.htm (coordinate challenge)
http://www.regentsprep.org/Regents/math/geometry/GCG4/CoordinatepRACTI
CE.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)
4.8 26
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 5 – Congruent Triangles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.6, G.CO.7, G.CO.10, G.CO.12) legs of an isosceles triangle
vertex angle
base angles
4.6 &
Review
27
Unit Test 28
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 6 – Relationships in Triangles G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are
congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic
geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 6 – Relationships in Triangles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.10, G.CO.12, G.MG.3) perpendicular bisector
concurrent lines
point of concurrency
circumcenter
incenter
median
centroid
altitude
orthocenter
Textbook - 5.1 Lab
Relationships in Triangles Graphic Organizer
Construction of Concurrency Points
Concurrency Word Search
Points of Concurrency Worksheet
Stained Glass Project (Review all Triangle Topics)
Triangle Inequalities Exploring Activity
Triangle Angle and Side Ordering Activity
Constructions including Bisectors
http://www.ck12.org/geometry/Inscribed-Quadrilaterals-in-Circles/ (videos and
other things)
5.1 5.2
29
(G.CO.10, G.MG.3)
5.3
5.5 5.6
30
(G.CO.10)
indirect reasoning
indirect proof
proof by contradiction
http://www.regentsprep.org/Regents/math/geometry/GP3b/indirectteacher.ht
m (indirect proof)
http://www.regentsprep.org/Regents/math/geometry/GP3b/indirectpractice.ht
m (Practice)
5.4 31
Unit Test 32
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 7 - Quadrilaterals G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a
parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★
Unit 7 - Quadrilaterals
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.MG.1)
diagonal
Introduction to Polygons
Notes on making 3D shapes from rotations
Rotate to form solids
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)
6.1 33
(G.CO.11, G.GPE.4)
parallelogram
Textbook – Chapter 6 – Foldable Chart
Parallelogram Jigsaw Activity
Parallelogram Worksheet
Properties of quadrilaterals
http://www.nsa.gov/academia/_files/collected_learning/high_school/geometry/
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)
6.2
6.3
34
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 7 - Quadrilaterals
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.11, G.GPE.4) rectangle
rhombus
square
Quadrilateral Activity
http://www.fayar.net/east/teacher.web/math/standards/document/eexamples/
chap5/5.3/index.htm (Interactive exploration of rectangles) http://www.teachmathematics.net/activities/quadrilateral-properties.htm
(Quadrilateral Properties)
6.4 6.5
35
(G.CO.11, G.GPE.4) trapezoid
bases
legs of trapezoid
base angles
isosceles trapezoid
Midsegment of trapezoid
kite
Property Check List
Fill in Properties of Quadrilaterals (with Answers)
Shape Tree Diagram
Trapezoid and Kite Worksheet
Sidewalk Chalk Shapes
https://sites.google.com/site/jonnasutherland100/home/cooperative-learning-
lesson-plan (Cooperative Lesson on Trapezoids and Kites)
http://ebookbrowse.com/m-geo-4th-6wks-rsc-discover-properties-kites-
trapezoids-worksheet-pdf-d170860873 (Worksheet on Trapezoids and Kites)
6.6 36
Activity 37
Review 38
Unit Test 39
Review and Midterm Exam 40
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 8 – Proportions and Similarity G.SRT.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity
transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding
pairs of sides. G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 8 – Proportions and Similarity
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.MG.3)
ratio
proportion
cross product
scale model
scale drawing
scale
House Project
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)
7.1
7.7
41
(G.SRT.2, G.SRT.3, G.SRT.4, G.SRT.5) similar polygons
similar ratio
scale factor
Similarity Comic Strip Project
Investigating Ratios 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)
7.2 7.3
42
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 First Half of Semester
Unit 8 – Proportions and Similarity
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.SRT.2,) midsegment of a triangle
How Tall is the Wall Activity
Worksheet on Proving Triangles Similar
7.4 43
(G.SRT.4, G.SRT.5)
Similar Triangles Project
Similar Triangles and Heights
Investigating Similar Triangles
Investigating Similar Right Triangles
7.5 44
Unit Test 45
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 9 – Right Triangles and Trigonometry G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the
Pythagorean Theorem proved using triangle similarity. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for
acute angles.
G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★
G.SRT.9 Derive the formula A = ½ ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
G.SRT.10 Prove the Laws of Sines and Cosines and use them to solve problems.
G.SRT.11 Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 9 – Right Triangles and Trigonometry
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
Day of Semester
(G.SRT.4, G.SRT.5, G.SRT.8, G.MG.3)
geometric mean
Pythagorean triple
Special Right Triangles 1
Special Right Triangles 2
Investigating Similar Right Triangles
Investigating Special Right Triangles
Pythagorean Theorem and Converse
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
(optional) 8.2
46
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 9 – Right Triangles and Trigonometry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.SRT.6) trigonometry
trigonometric ratio
sine
cosine
tangent
inverse sine
inverse cosine
inverse tangent
Is the Handicap Ramp Legal?
A Day at the Park
Measuring Height with Trigonometry
Water Balloon Launch
Trigonometry Word Problems
Trigonometry Practice
Investigating Trigonometry Ratios
Trigonometry Activities
Building Bridges Task
Building Bridges Lesson
http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/
years7_10/teaching/trig.htm (Same shape lesson to explore trig ratios)
http://blogs.warwick.ac.uk/emmacooke/entry/discovering_the_trig/
(discovering trig ratios)
8.4 47-50
Mid-Unit Test 51
(G.SRT.6, G.SRT.8)
angle of elevation
angle of depression
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.teachengi
neering.org/collection/cub_/activities/cub_navigation/cub_navigation_lesson03_activity2.xml (Trig River Activity)
8.3
8.5
52
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 9 – Right Triangles and Trigonometry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.SRT.9, G.SRT.10, G.SRT.11) law of sines
law of cosines
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.ht
m (develop both) http://www.algebralab.org/lessons/lesson.aspx?file=Trigonometry_TrigLawSin
es.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 (Worksheet) http://www.emathinstruction.com/sitebuildercontent/sitebuilderfiles/U9L5Trigo
nometricApplications.pdf (Worksheet with applications)
8.6 53
(G.GPE.6) vector
magnitude
direction
standard position
component form
resultant
Vector Treasure Hunt
http://www.teachmathematics.net/activities/dancing-vectors.htm (Dancing
Vectors)
http://www.teachengineering.org/view_activity.php?url=collection/cub_/activiti
es/cub_navigation/cub_navigation_lesson02_activity1.xml (Vector Voyage) http://illuminations.nctm.org/LessonDetail.aspx?ID=L484 (Properties of
vectors)
8.7 54
Unit Test 55
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 10 - Circles G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance
along a line, and distance around a circular arc.
G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation
versus horizontal stretch). G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic
geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G.CO.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
G.C.1 Prove that all circles are similar. G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed
angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. G.C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
G.C.4(+) Construct a tangent line from a point outside a given circle to the circle.
G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
G.GPE.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 10 - Circles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.1, G.CO.2, G.C.1, G.C.5)
center
circle
chord
diameter
radius
concentric circles
circumference
pi
inscribed
circumscribed
Properties of Chords Worksheet
Intersecting Chords Worksheet
Circle Intro/Printable Circle Intro/Circle Intro Answer
Goat Farmer
Pizza Problem
Worksheet on Circles and Similarity
Circles
Similarities in Circles and Arcs
http://middleschoolatsage.weebly.com/uploads/5/2/5/8/5258770/g.c.1_g.c.5_
copy.pdf (Activities)
10.1
10.2
56
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 10 - Circles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
central angle
arc
minor arc
major arc
semicircle
congruent arcs
adjacent arcs
arc length
http://www.geom.uiuc.edu/~dwiggins/conj44.html (Arcs)
http://alex.state.al.us/lesson_view.php?id=26412 (Sector Area)
(G.CO.2, G.CO.12, G.CO.13, G.C.4(+), G.MG.3)
tangent
point of tangency
common tangent
Tangents and Circles
Tangent and Chord Properties
10.3 10.5
57
(G.C.2, G.C.3, G.GPE.1, G.GPE.6) inscribed angle
intercepted arc
compound locus
Properties of Intercepted Arcs Worksheet
Exploring Inscribed Angles
Circle Review
Circle Review 2
Broken Pottery Activity
Circle Worksheet
Discovering the Properties of an Inscribed Quadrilateral
Points of Concurrency
Constructions including Bisectors
Circle Conjectures
http://freemotionquilting.blogspot.com/2010/01/day-123-angles-and-
circles.html (Quilt Project)
http://www.ck12.org/geometry/Inscribed-Quadrilaterals-in-Circles/ (videos and
other things)
10.4 10.8
58
Review 59
Unit Test 60
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 11 – Area of Polygons and Circles G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the
angle as the constant of proportionality; derive the formula for the area of a sector.
G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.★
G.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★
G.MG.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).★
G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 11 – Area of Polygons and Circles
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
Day of Semester
(G.GPE.7, G.MG.2, G.MG.3) base of a parallelogram
height of a parallelogram
base of a triangle
height of a triangle
height of a trapezoid
population density
Textbook – 11.2 Extended Lab
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)
11.1 11.2
61
(G.C.5, G.GMD.1)
sector of a circle
Worksheet on Circles and Similarity
Sectors of Pizza
Circles
Similarities in Circles and Arcs
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)
11.3 62
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 11 – Area of Polygons and Circles
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.MG.3) center of a regular polygon
radius of a regular polygon
apothem
central angle of a regular polygon
composite figure
Areas of Regular Polygons
Area of Polygon Worksheet
Class Quilt
Deriving the Formula of a Regular Polygon
Right Triangles and Area of Regular Polygons
http://education.ti.com/en/us/activity/detail?id=B6948F1A47744A4DA05AF1FC
B12EB045 (Area Activity)
11.4 63-64
(G.MG.1) 11.5 65
Review 66
Unit Test 67
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 12 – Extending Surface Area and Volume G.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection
arguments, Cavalieri’s principle, and informal limit arguments. G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★
G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★
G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
Unit 12 – Extending Surface Area and Volume
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.GMD.4, G.MG.1, G.MG.3) isometric view
cross section
Making Nets of 3 Dimensional Figures
Crush and Run
3D Review (1st 2 pages)/3D Review Key
12.1 12.4
68
(G.GMD.1, G.GMD.3) lateral face
lateral edge
base edge
altitude
height
lateral area
axis
composite solid
regular pyramid
slant height
right cone
oblique cone
Review Surface Area
Review Volume
Review Surface Area and Volume
Student Formula Sheet
Household Item Project
Investigating Surface Area
12.2 12.3
69
(G.GMD.1, G.GMD.3)
great circle
pole
hemisphere
12.5
12.6
70
Unit Test 71
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 13 – Transformation and Symmetry G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in
the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation
versus horizontal stretch). G.CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry
software. Specify a sequence of transformations that will carry a given figure onto another. G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor.
G.SRT.1a 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.
G.SRT.1b The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Unit 13 – Transformation and Symmetry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.4, G.CO.5) line of reflection
translation vector
center of rotation
angle of rotation
Making a Tessellation with Patty Paper
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
72
(G.CO.2, G.CO.5) Textbook 9.3 – Explore Lab
9.3 73
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 13 – Transformation and Symmetry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.2, G.CO.5, G.STR.2, G.SRT.5)) transformation
pre-image
image
congruence transformation
isometric
reflection
translation
rotation
composition of transformations
glide reflections
Geometry Rotation and Dilation
Dilation and Scale Factor Worksheet
Scale Models
Penrose Tiles with Answers
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)
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)
4.7 9.4
74
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 13 – Transformation and Symmetry
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.CO.3, G.SRT.1, G.SRT.1a, G.SRT.1b) symmetry
line symmetry
line of symmetry
rotational symmetry
center of symmetry
order of symmetry
Wind Chime Project
Geometry Rotation and Dilation
Dilation and Scale Factor Worksheet
Scale Models
Dilation Project
Almagamation Art (Uses dilations, transformations, and translations)
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.IdentifyingTransformation
s.pdf (identify transformations)
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)
9.5 9.6
75
7.6 76
Test 77
Tesselation Project 78
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 14 – Conic Sections G.GPE.2 Derive the equation of a parabola given a focus and directrix.
G.GPE.3 Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
Unit 14 – Conic Sections
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.GPE.2) parabola
focus
directrix
Parabola Race Game
Vertex Form of Parabola
Parabola and Circle Worksheet
Angry Bird Parabola Project
Conics
http://www.regentsprep.org/Regents/math/algtrig/ATE12/completesqlesson.ht
m (How to complete the square)
http://www.youtube.com/watch?v=uA-PcAyIQ7g (video lesson)
http://www.classzone.com/eservices/home/pdf/student/LA210BAD.pdf (lesson
on parabola)
http://www.intmath.com/plane-analytic-geometry/4-parabola.php (parabola
interactive) http://www.youtube.com/watch?v=goYnB61nrjg (super math bros parabola
project)
http://www.stlprioryschool.org/index.php?option=com_content&view=article&i
d=1259:math-students-learn-through-parabola-project&catid=13&Itemid=278 (Parabola Project)
http://theparabolaproject.blogspot.com/ (Constructivist Lesson on Parabolas)
79
(G.GPE.3) ellipse
foci
major axis
minor axis
Ellipse Worksheet
PowerPoint on Conics
My Favorite Conic Section Project
80
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 14 – Conic Sections
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(G.GPE.3) hyperbolas
foci
Hyperbola Worksheet
Conics Art Project
Review – Circle, Hyperbola, Ellipse
Review Parts of Conics
Review for Test
http://www.classzone.com/eservices/home/pdf/student/LA210EAD.pdf (Lesson
on Hyperbolas)
http://www.classzone.com/eservices/home/pdf/student/LA210FBD.pdf (Graph
& Classify Conics) http://illuminations.nctm.org/LessonDetail.aspx?id=L792 (Cutting Conics)
81
Unit Test 82
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 15 – Probability and Measurement G-MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working
with typographic grid systems based on ratios).★
S-CP.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections,
or complements of other events (“or,” “and,” “not”). S-CP.2 Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this
characterization to determine if they are independent. S-CP.3 Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional
probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
S-CP.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.
S-CP.5 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. S-CP.6 Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.
S-CP.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. S-MD.6 Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
S-MD.7 Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).
Unit 15 – Probability and Measurement
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
Day of Semester
(S-MD.7)
geometric probability
Probability Packet
Rock Paper Scissors and Fairness
Real Life Probabilities
Probability Activities
http://www.regentsprep.org/Regents/math/ALGEBRA/APR3/Tconditional.htm
(Conditional Probability)
http://www.shodor.org/interactivate/lessons/ConditionalProb/ (Interactive
Conditional Probability)
http://www.shodor.org/interactivate/lessons/IdeasLeadProbability/ (Intro to
Probability) http://www.math.wisc.edu/~skubak/132fall2012/Probability%20Games%20Art
icle.pdf (Probability Games)
http://www.proteacher.org/c/493_probability.html (Ideas to teach probability)
https://sites.google.com/site/salamancamath/MathClasses/graphing/geometry-
projects/geometry-probability (Geometric Probability Project)
13.3 83
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 15 – Probability and Measurement
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
http://www.teachersdomain.org/resource/vtl07.math.data.pro.lpprobgame/
(Probability & Fairness) http://illuminations.nctm.org/LessonDetail.aspx?id=L290 (Explorations in
chance)
http://www.teachforever.com/2009/08/three-fun-probability-games-and.html
(Games) http://www.math.wichita.edu/history/activities/prob-act.html#rock
http://classroom.jc-schools.net/basic/math-prob.html
http://www.education.com/activity/probability-statistics/
http://www.scholastic.com/probabilitychallenge/
http://www.mathgoodies.com/worksheets/probability_wks.html (worksheets)
http://illuminations.nctm.org/LessonDetail.aspx?id=L248 (Game)
http://www.transum.org/software/sw/starter_of_the_day/Similar.asp?ID_Topic
=30 (starters)
(G-MG.3, S-MD.6) probability model
simulation
random variable
expected value
law of large numbers
13.4 84
(S-CP.2, S-CP.3, S-CP.4, S-CP.5, S-CP.6)
compound event
independent events
dependent events
conditional probability
probability tree
Textbook – 13.5 Extended Lab
Sample Space Activity
Hands on Activities for Sample Space and Probability
Conditional Probability and Independence Worksheet
Relative Probability Worksheet
Conditional Probability Worksheet
http://www.regentsprep.org/Regents/math/ALGEBRA/APR4/PracSamp.htm
(Sample space problems) http://www.regentsprep.org/Regents/math/ALGEBRA/APR4/PracTre.htm (Tree
Diagrams)
http://www.shodor.org/interactivate1.9/lessons/pm4.html (Conditional
probability)
13.5 85
Geometry CP and Math Tech 3 – Curriculum Pacing Guide – 2014 – 2015 Second Half of Semester
Unit 15 – Probability and Measurement
Essential Tasks/Key Concepts Resources/Activities Textbook
Reference
Day of
Semester
(S-CP.1, S-CP.7) mutually exclusive events
complement
http://www.mathgoodies.com/lessons/vol6/addition_rules.html (Addition
Rules) http://www.youtube.com/watch?v=N6Neycnv93k (multiplication rule)
http://www.ehow.com/how_10017536_explain-sum-product-rules-
probability.html (Probability Rules)
13.6 86
Unit Test 87
End of Course Exam 88-90