geometry

Textbook: Charles RI, Hall B, Kennedy D, Bass LE, Johnson A, Murphy SJ, Wiggins G 2011. Geometry, Chandler, AZ: Pearson Education, Inc, 963pp.

chapter 1

1.1 nets and drawings for visualizing geometry (pg 4-10)

Solids and Nets
Fusedworks Doncaster College
https://www.youtube.com/watch?v=YHaC1HD2PZ8
Note: There is no sound with this video. Be sure to follow along with text cues and questions at the bottom!

Isometric Drawing
Maths POWER Tutorial Lessons
https://www.youtube.com/watch?v=8BFjHJTs4q0

Orthographic Drawing
YouTube Channel pgstech
https://www.youtube.com/watch?v=CACQU-Oe3rQ
Note: This last video is far more professional than what the geometry students are expected to perform, but you should get the gist. Furthermore, this video should demonstrate how this skill has applications in design and drafting.

1.2 points, lines, and planes (pg 11-19)

Points, Lines, and Planes
Youtube Channel math antics
https://www.youtube.com/watch?v=k5etrWdIY6o

More Points, Lines, and Planes
Jeffrey Bannish
https://www.youtube.com/watch?v=rcdS6TjncoY

1.3 measuring segments (pg 20-26)

Measuring Segments
Kinnick Geometry
https://www.youtube.com/watch?v=BcEUEkej0pI

1.4 measuring angles (pg 27-33)

Introduction to Angles
mathantics.com
https://www.youtube.com/watch?v=DGKwdHMiqCg

Measuring Angles
mathantics.com
https://www.youtube.com/watch?v=_n3KZR1DSEo

Congruent Angles
MathHelp.com
https://www.youtube.com/watch?v=hYnG2y6_luU

1.5 exploring angle pairs (pg 34-40)

Pairs of Angles
Math is FUNdamental
https://www.youtube.com/watch?v=YrDMgNfBCQI

ALGEBRA REVIEW – SOLVING EQUATIONS – USE AS NEEDED

Properties of Equality and Solving Equations
Brian Olmanson

More Solving Equations
khanacademy.org
https://www.youtube.com/watch?v=p5e5mf_G3FI

More Solving Equations 2
khanacademy.org
https://www.youtube.com/watch?v=1c5HY3z4k8M

1.6 basic constructions (pg 43-48)

Constructing Congruent Segments
YouTube Channel KleknerMath
https://www.youtube.com/watch?v=l4Am9v-4r7g

Constructing Congruent Angles
YouTube Channel KleknerMath
https://www.youtube.com/watch?v=5DacnHvZeQ0

Constructing a Perpendicular Bisector
YouTube Channel MyTangentialThoughts
https://www.youtube.com/watch?v=-L7UC8iFvL8

Constructing an Angle Bisector
YouTube Channel MyTangentialThoughts
https://www.youtube.com/watch?v=2lP1NKYLKQw

1.7 midpoint and distance in the coordinate plane (pg 50-56)

Finding the Midpoint of a Horizontal or Vertical Line Segment
YouTube Channel wongybon
https://www.youtube.com/watch?v=Sgaju14nfz8

Finding the Midpoint of Any Line Segment
YouTube Channel ExamSolutions
https://www.youtube.com/watch?v=WVFTQEVhs_E

Finding an Endpoint of a Line Segment (Given the Midpoint and the Other Endpoint)
YouTube Channel MathIsPower4u
https://www.youtube.com/watch?v=cl60uSlILWo

The Distance Formula
khanacademy.org
https://www.youtube.com/watch?v=nyZuite17Pc

1.8 perimeter, circumference, and area (pg 59-67)

Perimeter of Squares, Rectangles, and Irregular Shapes
mathantics.com
https://www.youtube.com/watch?v=AAY1bsazcgM

Area of Squares, Rectangles, and Triangles
mathantics.com
https://www.youtube.com/watch?v=xCdxURXMdFY

Introduction to Circles and Pi
mathantics.com
https://www.youtube.com/watch?v=cC0fZ_lkFpQ

Circumference and Area of Circles
mathantics.com
https://www.youtube.com/watch?v=O-cawByg2aA

chapter 2

2.1 patterns and inductive reasoning (pg 82-88)

Patterns and Inductive Reasoning
Ben Lewis
https://www.youtube.com/watch?v=VLjl39OSWbs

2.2 conditional statements (pg 89-95)

Conditional Statements
Christine Brzuchalski
https://www.youtube.com/watch?v=zTHnMTzPEoE

Conditional Statements: More Examples
John Cuozzo
https://www.youtube.com/watch?v=on8iq-N-zd8

Optional: Evaluating the Truth of Conditional Statements
YouTube Channel GVSUMath
https://www.youtube.com/watch?v=9rz_iC2t0iE
Note: This and the next few videos cover an optional section of the student’s textbook. The instructor may or may not be covering this information.

Optional: Truth Tables
YouTube Channel GVSUMath
https://www.youtube.com/watch?v=iT1FgtoeFx4

Optional: Truth Tables Extended
YouTube Channel GVSUMath
https://www.youtube.com/watch?v=2npo-L0DJRQ

Optional: Truth Tables Applied to Compound Statements
YouTube Channel GVSUMath
https://www.youtube.com/watch?v=_5Z_0824RHw

2.3 biconditionals and definitions (pg 98-104)

Biconditional Statements and Definitions
YouTube Channel lratliff1
https://www.youtube.com/watch?v=8bN77xSh60g

2.4 deductive reasoning (pg 106-112)

Deductive Reasoning
YouTube Channel Mathispower4u
https://www.youtube.com/watch?v=yMzNaqdxiZY

Optional: Can Deductive Reasoning Get You Into Trouble?
Sherlock Holmes Scene
https://www.youtube.com/watch?v=388-rOzD9SM

2.5 reasoning in algebra and geometry (pg 113-119)

Addition, Multiplication, Reflexive, Symmetric, and Transitive Properties of Equality
Brian Olmanson

The Subtraction Property of Equality
StatisticsLectures.com
https://www.youtube.com/watch?v=JOylspbWdVI

The Division Property of Equality
StatisticsLectures.com
https://www.youtube.com/watch?v=DHXUxKJlIIc

The Reflexive and Symmetric Properties of Equality
MathHelp.com
https://www.youtube.com/watch?v=Z3TnbxYWlno

The Substitution Property of Equality
MathHelp.com
https://www.youtube.com/watch?v=IgD0b2VK37s

The Distributive Property
khanacademy.org
https://www.youtube.com/watch?v=gl_-E6iVAg4

The Distributive Property 2
khanacademy.org
https://www.youtube.com/watch?v=Badvask-UDU

Properties of Congruence
YouTube Channel MathMeij
https://www.youtube.com/watch?v=djD1TzcbTHs

Introduction to Proofs Using Properties of Congruence
YouTube Channel Mathispower4u
https://www.youtube.com/watch?v=M6cbpQ_TUAQ

2.6 proving angles congruent (pg 120-127)

Proving Angles Congruent
Ben Lewis
https://www.youtube.com/watch?v=MTxYrkCWcdI

More Proofs with Angles
YouTube Channel yaymath
https://www.youtube.com/watch?v=2BkYSZ5fTaI

chapter 3

3.1 lines and angles (pg 140-146)

Parallel, Intersecting, and Skew Lines
Luke Simon
https://www.youtube.com/watch?v=j1y-jPxXfpo

Parallel Lines and Planes
brightstorm.com
https://www.youtube.com/watch?v=NaaroGmZC3g

Parallel Lines and Angle Pairs
Pete Anderson
https://www.youtube.com/watch?v=vmFH5ajoxKk

3.2 properties of parallel lines (pg 148-155)

Properties of Parallel Lines
Ben Lewis
https://www.youtube.com/watch?v=qu24RqguviU

3.3 proving lines parallel (pg 156-163)

Proving Lines Parallel
YouTube Channel MATHIsFundamental
https://www.youtube.com/watch?v=rUnlsSFj5rU

Optional, More Practice: Proving Lines Parallel
BJ Etzold
https://www.youtube.com/watch?v=0ALODW5bZHQ

3.4 parallel and perpendicular lines (pg 164-169)

Lines Parallel to the Same Line are Parallel
YouTube Channel Mathispower4u
https://www.youtube.com/watch?v=oBzifIeqYHM

Perpendicular Transversals of Parallel Lines
YouTube Channel Mathispower4u
https://www.youtube.com/watch?v=s2A3ZNbMP88

Using Perpendicular Transversals of Parallel Lines
YouTube Channel Mathispower4u
https://www.youtube.com/watch?v=ahyDd0PE9aI

Using Perpendicular Transversals of Parallel Lines 2
YouTube Channel Mathispower4u
https://www.youtube.com/watch?v=Cz6MQr5qAQ4

Determining Parallel Lines from Complicated Diagrams
American Public University

3.5 parallel lines and triangles (pg 171-178)

Parallel Lines and Triangles
Ben Lewis
https://www.youtube.com/watch?v=xV66g5nMmho

Alternative Explanation: Parallel Lines and Triangles
ProfRobBob
https://www.youtube.com/watch?v=aPuboIemBgY

Optional: Spherical Geometry
YouTube Channel cgreene103
https://www.youtube.com/watch?v=XZlublrPb8c

3.6 constructing parallel and perpendicular lines (pg 182-188)

Constructing a Line Parallel to a Given Line and Through a Given Point
Howard Community College
https://www.youtube.com/watch?v=im81vHIhZS8

Constructing a Quadrilateral with a Pair of Parallel Sides (A Trapezoid)
Howard Community College
https://www.youtube.com/watch?v=a5hKfVZB0IM

Constructing a Line Perpendicular to a Line through a Point on the Line
YouTube Channel MrArnoldsMaths
https://www.youtube.com/watch?v=z-qdyuQ-JSw

Constructing a Line Perpendicular to a Line through a Point Not on the Line
YouTube Channel MyTangentialThoughts
https://www.youtube.com/watch?v=I4dh2R6b1N0

3.7 equations of lines in the coordinate plane (pg 189-196)

Calculating the Slope of a Line
YouTube Channel MathPractice2Learn
https://www.youtube.com/watch?v=JUKxUtDYp0o

Slope-Intercept Form
Mr. Causey
https://www.youtube.com/watch?v=7LJPSo4U-SM

Graphing Equations in Slope-Intercept Form
Fort Bend Tutoring
https://www.youtube.com/watch?v=DVLOvBLaPlQ

Writing an Equation Given a Point and the Slope
WhyU.org
https://www.youtube.com/watch?v=aM3MhYrI1C8

Writing an Equation Given Just Two Points
WhyU.org
https://www.youtube.com/watch?v=Vvh3rgCisIc

3.8 slopes of parallel and perpendicular lines (pg 197-204)

Parallel Lines
WhyU.org
https://www.youtube.com/watch?v=Q6phH6FTw34
Note: This may be more advanced than the lesson your student is receiving.

Perpendicular Lines
WhyU.org
https://www.youtube.com/watch?v=guf2gp6XqY4
Note: Again, this may be more advanced than the lesson your student is receiving.

chapter 4

4.1 congruent figures (pg 218-224)

Congruent Figures
Ben Lewis
https://www.youtube.com/watch?v=ztzq_EC9LAk

4.2 triangle congruence by sss and sas (pg 226-233)

Triangle Congruence by SSS and SAS
MrHammysMathClass
https://www.youtube.com/watch?v=Q0ZUKd6AZys

4.3 triangle congruence by asa and aas (pg 234-241)

Triangle Congruence by ASA and AAS
MrHammysMathClass
https://www.youtube.com/watch?v=IEtunTIuJ5c

4.4 using corresponding parts of congruent triangles (pg 244-248)

4.5 isosceles and equilateral triangles (pg 250-256)

4.6 congruence in right triangles (pg 258-264)

4.7 congruence in overlapping triangles (pg 265-271)

chapter 5

5.1 midsegments of triangles (pg 285-291)

5.2 perpendicular and angle bisectors (pg 292-299)

5.3 bisectors in triangles (pg 301-307)

5.4 medians and altitudes (pg 309-315)

5.5 indirect proof (pg 317-322)

5.6 inequalities in one triangle (pg 324-331)

5.7 inequalities in two triangles (pg 332-339)

chapter 6

6.1 the polygon-angle sum theorems (pg 353-358)

6.2 properties of parallelograms (pg 359-366)

6.3 proving that a quadrilateral is a parallelogram (pg 367-374)

6.4 properties of rhombuses, rectangles, and squares (pg 375-382)

6.5 conditions of rhombuses, rectangles, and squares (pg 383-388)

6.6 trapezoids and kites (pg 389-397)

6.7 polygons in the coordinate plane (pg 400-405)

6.8 applying coordinate geometry (pg 406-412)

6.9 proofs using coordinate geometry (pg 414-418)

chapter 7

7.1 ratios and proportions (pg 432-438)

7.2 similar polygons (pg 440-447)

7.3 proving triangles similar (pg 450-458)

7.4 similarity in right triangles (pg 460-467)

7.5 proportions in triangles (pg 471-478)

chapter 8

8.1 the pythagorean theorem and its converse (pg 491-498)

8.2 special right triangles (pg 499-505)

8.3 trigonometry (pg 507-513)

8.4 angles of elevation and depression (pg 516-521)

8.5 vectors (pg 524-532)

chapter 9

9.1 translations (pg 544-551)

9.2 reflections (pg 553-558)

9.3 rotations (pg 559-565)

9.4 symmetry (pg 568-573)

9.5 dilations (pg 575-581)

9.6 compositions of reflections (pg 584-592)

9.7 tessellations (pg 595-601)

chapter 10

10.1 areas of parallelograms and triangles (pg 616-622)

10.2 areas of trapezoids, rhombuses, and kites (pg 623-628)

10.3 areas of regular polygons (pg 629-634)

10.4 perimeters and areas of similar figures (pg 635-641)

10.5 trigonometry and area (pg 643-648)

10.6 circles and arcs (pg 649-657)

10.7 areas of circles and sectors (pg 660-666)

10.8 geometric probability (pg 668-674)

chapter 11

11.1 space figures and cross sections (pg 688-695)

11.2 surface areas of prisms and cylinders (pg 699-707)

11.3 surface areas of pyramids and cones (pg 708-715)

11.4 volumes of prisms and cylinders (pg 717-724)

11.5 volumes of pyramids and cones (pg 726-732)

11.6 surface areas and volumes of spheres (pg 733-740)

11.7 areas and volumes of similar solids (pg 742-749)

chapter 12

12.1 tangent lines (pg 762-769)

12.2 chords and arcs (pg 771-779)

12.3 inscribed angles (pg 780-787)

12.4 angle measures and segment lengths (pg 790-797)

12.5 circles in the coordinate plane (pg 798-803)

12.6 locus: a set of points (pg 804-809)

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