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Carl Sandburg

Middle School

We Build Futures

Chapter - Points, Lines, Planes and Angles
Points Lines and Planes
Undefined Terms
http://www.youtube.com/watch?v=GK3h7LzqsUg

Segments, Rays and Distance
Line Segments
http://www.youtube.com/watch?v=Pjhn1EAwTok

Midpoints and Congruent Segments
http://www.youtube.com/watch?v=I7LZg_oTRfo

Segment Addition Postulate
http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/v/segment-addition
http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/segment_addition

Rays
http://www.youtube.com/watch?v=HkdicQdB060

Angles

Types of Angles
http://www.youtube.com/watch?v=rsNlNmcFQy4#t=98
http://www.youtube.com/watch?v=m7ZQc8CWdCw#t=15

Angle Bisector
http://www.youtube.com/watch?v=n5L6pesFoUg

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

Angle Addition Postulate
https://www.youtube.com/watch?v=k8wSxkxUgck

Angle Addition Postulate Practice
https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/e/angle_addition_postulate

Chapter - Deductive Reasoning
If-Then Statements and Converses
Converse:
http://www.youtube.com/watch?v=l-ej-DazebI#t=12

Properties from Algebra
Transitive, Reflexive and Symmetric Properties of Equality
http://www.onlinemathlearning.com/transitive-reflexive-property.html

Special Types of Angles
Complementary and Supplementary Angles
http://www.youtube.com/watch?v=h9zUbWPqVpc
Vertical Angles
http://www.youtube.com/watch?v=fvYE8ZCBTtA
Perpendicular Lines

Definition
http://www.youtube.com/watch?v=VVvErpLG2EQ

Chapter - Parallel Lines and Planes

Definitions
Skew Lines
http://www.youtube.com/watch?v=UN0nOrs_4EY

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

Properties of Parallel Lines

Corresponding Angles
http://www.youtube.com/watch?v=hFIjoDPxPdk#t=11
Alternate Interior Angles
http://www.youtube.com/watch?v=3ACJa4pYG8g
Same-side Interior Angles
http://www.youtube.com/watch?v=BkW9JXazdAA

Proving Lines Parallel
http://www.youtube.com/watch?v=92gT6vHtEXc

Angles of a Triangle

Triangle classifications:
http://www.youtube.com/watch?v=I2Lt-jU3IJc

Triangle Sum Theorem
http://www.youtube.com/watch?v=k0MLhzZK-SM

Measure of exterior remote angles of a triangle
http://www.youtube.com/watch?v=YS2K2SpvVIA

Angles of a Polygon

Convex and concave polygons
http://www.youtube.com/watch?v=W8Zq_A1MPqs

interior angles
http://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-interior-angles-of-a-polygon

exterior angles
http://www.youtube.com/watch?v=MFhwb3UXNRI

Chapter - Congruent Triangles

Congruent Figures
http://www.youtube.com/watch?v=CUKDzC5f6B4
Congruent Triangles - ASA, AAS, SSS, SAS
http://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/finding-congruent-triangles

Triangle Congruence (ASA and AAS)
http://www.youtube.com/watch?v=jKFqAHfWw50
Review and practice
http://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1
http://www.youtube.com/watch?v=fNpELtXuCjc
http://www.youtube.com/watch?v=T23BbKHTH3o
Using Congruent Triangles
CPCTC (Proofs)
http://www.youtube.com/watch?v=lyB4J9FC1ck
The Isosceles Triangle Theorem
http://www.youtube.com/watch?v=ThG7JfmZ70M

AAS Theorem and HL Theorem
http://www.youtube.com/watch?v=5ZNAQ5Enx8I

Medians, Altitudes and Perpendicular Bisectors
http://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review/v/review-of-triangle-properties

Parallelograms
Properties of Parallelograms
http://www.youtube.com/watch?v=-Weia4Pe-9k
Proving Quadrilaterals are Parallelograms
http://www.youtube.com/watch?v=e96q4vpMrOY
Theorems Involving Parallel Lines
http://www.youtube.com/watch?v=LeMemQsI57U
Special Parallelograms
http://www.youtube.com/watch?v=mAg3X0VQ-yA
Proving Thm 5-15 (The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices).
https://www.youtube.com/watch?v=VejCw2NlE60

Trapezoids
http://www.youtube.com/watch?v=GoFcsArnc-A

https://www.youtube.com/watch?v=O2bf1mZQWXI

Chapter - Similar Polygons

Ratio & Proportion
http://www.youtube.com/watch?v=idFf12esZ3E

Properties of Proportions
http://www.youtube.com/watch?v=OvydgQ8tSQI

Similar Polygons
http://www.youtube.com/watch?v=6gLW8LBaw6g

AA Similarity Postulate
http://www.youtube.com/watch?v=wlMuiKCYoWs

SAS Similarity Theorem / SSS Similarity Theorem
SAS Similarity Theorem
http://www.youtube.com/watch?v=_7KoqxucL-4
SSS SimilarityTheorem
http://www.youtube.com/watch?v=SNG-pcPRuBk
Comparing Triangle Similarity Postulate and Theorems
http://www.youtube.com/watch?v=0b0VxwthbJU

Proportional Lengths
Triangle Proportionality Theorem
http://www.youtube.com/watch?v=F_0rA_9WkVE
Triangle Angle-Bisector Theorem
http://www.youtube.com/watch?v=6WZRypy7ry0

Chapter - Right Triangles

Simplifying Radicals
http://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radicals

Adding and Subtracting Radicals
http://www.youtube.com/watch?v=QsHJStWF-MM

Multiplying and Dividing Radicals
http://www.youtube.com/watch?v=PMam2c_eXj4

Pythagorean Theorem
http://www.youtube.com/watch?v=-vXr5gwBxVg

Converse of Pythagorean Theorem and Pythagorean Triples
http://www.youtube.com/watch?v=bWRIL0IMAWk
http://www.youtube.com/watch?v=_zzz8xBAnnI
http://www.youtube.com/watch?v=XZmwHdRi5YU

Special Right Triangles
45-45-90 Theorem
http://www.youtube.com/watch?v=KqOjsIZTUj4
30-60-90 Theorem
http://www.youtube.com/watch?v=3vVWP7ASpi4

The Tangent, Sine & Cosine Ratio
Finding the missing side given angle
http://www.youtube.com/watch?v=ZWIyWssa7aY
Finding the missing angle given sides
http://www.youtube.com/watch?v=7rJfKGmp6fw

Applications of Right Triangle Trigonometry – Angle of Elevation & Depression
http://www.youtube.com/watch?v=0PjWNrLWIrQ

Chapter - Circles
Basic Terms
http://www.youtube.com/watch?v=dZqSZ-QdoKU&list=PL1C537F4A57B3F09B
https://www.youtube.com/watch?v=sg-7bRPt_fQ
https://www.youtube.com/watch?v=Ut_rKPch-JE

Tangents
http://www.youtube.com/watch?v=E2uoEMwuyak
http://www.youtube.com/watch?v=it6yi7suSIQ
Common tangents to 2 circles
http://www.youtube.com/watch?v=mPBO61d9v3Q
Tangent circles
“touching internally” means circles are internally tangent
“touching externally” means circles are externally tangent
http://www.youtube.com/watch?v=CioF3HF-jWg

Arcs and Central Angles
Definitions of minor arc, major arc and semicircle
http://www.youtube.com/watch?v=L4l05-ydHBs
Definition of central angle
http://www.youtube.com/watch?v=4Y9D0v0x4H8
Definition of congruent arcs
http://www.youtube.com/watch?v=05pdbCf61sk
Arc Addition Postulate
http://www.youtube.com/watch?v=NUwgYauUR7s
Arcs and Chords
http://www.youtube.com/watch?v=KZsz2zAD0H4
http://www.youtube.com/watch?v=ma0qXCyxiQo
http://www.youtube.com/watch?v=UJbv2ETvsC4

TRIANGLES
Triangle Side Inequalities
http://www.youtube.com/watch?v=eNNaT9JmqJY
Triangle Inequality Theorem
http://www.youtube.com/watch?v=OoLb_NnnKSQ#t=41
Remote Interior Angles
http://www.youtube.com/watch?v=3roTCMW4_u4

COORDINATE GEOMETRY
Midpoint Formula
http://www.youtube.com/watch?v=CY8_ygkj9VM

Perimeter
http://www.youtube.com/watch?v=ZM0dReGZSi8

Parts of a Circle
http://www.youtube.com/watch?v=dZqSZ-QdoKU

Transformations/Dilations
http://www.youtube.com/watch?v=tkH8R7Eo8QQ
Teacher Websites
http://www.kutasoftware.com/freeige.html
http://www.homeschoolmath.net/worksheets/classify_triangles.php

**Practice and Review various geometry topics
http://www.ixl.com/math/geometry

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