Geometry

toc =Math Enrichment C - Geometry= =Spring 2011= =Mr. Bujak=

In an effort to be totally transparent and to support students 24/7/365.25, this volunteer-maintained and optional area is meant to be a collection of useful links for the Spring 2011 semester "Math Enrichment C (Geometry)" 0.5 credit elective course at Hope Charter High School.

Math Enrichment C - Geometry Syllabus Spring 2011 Semester

• Hints for Saxon Geometry:

 * These videos and personally scanned textbook lesson pages are on my "personal cloud" using my Pogoplug(TM) hardware and my 2TB Seagate Free Agent GoFlex drive.
 * ** Link to personally scanned and posted textbook lesson pages ** - including Warn Up, New Concepts, Lesson Practice, Practice - nice to have this displayed while the corresponding video is played - file nomenclature PPP.LLL.description.pdf where PPP is 3-digit page number and LLL is the 3-digit lesson number.
 * **Link to all the current posted videos** - videos to the posted lessons' New Concepts, Examples, Lesson Practice (usually Independent Practice), and Practice (usually 6 Practice problems are selected as homework problems)
 * Links to videos for individual textbook lessons below.
 * all lesson instructions (file nomenclature: ge_LLL_les.swf where LLL is the 3-digit lesson number)
 * all solutions to "Lesson Practice" problems (with the lower-case letters, independent practice class work, file nomenclature: ge_LLL_prac.swf where LLL is the 3-digit lesson number),
 * all solutions to "Practice" problems (all 30 numbered problems, selected ones for homework, file nomenclature: ge_LLL_PP.swf where LLL is the 3-digit lesson number and PP is the 2-digit problem number [1..30]), and
 * "Labs" (file nomenclature: ge_lLL.swf where LL is the 2-digit lab number)
 * "Investigations" (file nomenclature: ge_iLL_les.swf and ge_iLL_prac.swf where LL is the 2-digit lesson number)
 * Playing SWF files: On the SWF file that you would like to play, click on the downward pointing arrow to download and play. If your computer/browser you are sitting behind does not have an SWF player, then use "__O__pen with" and select "Internet Explorer" from the list.
 * 1) Lesson 1 Points, Lines, and Planes
 * 2) Lesson 2 Segments
 * 3) Lesson 3 Angles
 * 4) Lab 1 Construction: Congruent Segments and Angles
 * 5) Lesson 4 Postulates and Theorems About Points, Lines, Planes
 * 6) Lesson 5 More Theorems About Lines and Planes
 * 7) Lab 2 Construction: Perpendicular Line Through a Point on a Line
 * 8) Lesson 6 Identifying Pairs of Angles
 * 9) Lab 3 Construction: Perpendicular Bisectors and Angle Bisectors
 * 10) Lesson 7 Using Inductive Reasoning
 * 11) Lesson 8 Using Formulas in Geometry
 * 12) Lesson 9 Finding Length: Distance Formula
 * 13) Lesson 10 Using Conditional Statements
 * 14) Investigation 1 Transversals and Angle Measurements
 * 15) Lesson 11 Finding Midpoints
 * 16) Lesson 12 Proving Lines Parallel
 * 17) Lab 4 Construction: Parallel Lines Through a Point
 * 18) Lesson 13 Introduction to Triangles
 * 19) Lesson 14 Disproving Conjectures and Counterexamples
 * 20) Lesson 15 Introduction to Polygons
 * 21) Lesson 16 Finding Slopes and Equations of Lines
 * 22) Lesson 17 More Conditional Statements
 * 23) Lesson 18 Triangle Theorem
 * 24) Lesson 19 Introduction to Quadrilaterals
 * 25) Lesson 20 Interpreting Truth Tables - skip
 * 26) Investigation 2 Proving the Pythagorean Theorem
 * 27) Lesson 21 Law of Detachment and Syllogism - skip
 * 28) Lesson 22 Finding Areas of Quadrilaterals
 * 29) Lesson 23 Introduction to Circles
 * 30) Lesson 24 Algebraic Proofs - skip
 * 31) Lesson 25 Triangle Congruence: SSS
 * 32) Lesson 26 Central Angles and Arc Measure
 * 33) Lesson 27 Two-Column Proofs - skip
 * 34) Lesson 28 Triangle Congruence: SASVisit
 * 35) Lab 5 Construction: Congruent Triangles
 * 36) Lesson 29 Using the Pythagorean Theorem
 * 37) Lesson 30 Triangle Congruence: ASA and AAS
 * 38) Investigation 3 Exploring Angles of Polygons
 * 39) Lesson 31 Flowchart and Paragraph Proofs - skip
 * 40) Lesson 32 Altitudes and Medians of Triangles
 * 41) Lesson 33 Converse of the Pythagorean Theorem
 * 42) Lesson 34 Properties of Parallelograms
 * 43) Lesson 35 Finding Arc Lengths and Areas of Sectors
 * 44) Lesson 36 Right Triangle Convergence Theorems
 * 45) Lesson 37 Writing Equations of Parallel and Perpendicular Lines
 * 46) Lesson 38 Perpendicular and Angle Bisectors of Triangles
 * 47) Lab 6 Construction - Circle through Three Noncollinear Points
 * 48) Lesson 39 Inequalities in a Triangle
 * 49) Lesson 40 Inequalities in Two Triangles
 * 50) Investigation 4 Inequalities in Two Triangles
 * 51) Lesson 41 Ratios, Proportions and Similarity
 * 52) Lesson 42 Finding Distance from a Point to a Line
 * 53) Lab 7 Construction - Perpendicular Line Through a Point Not on a Line
 * 54) Lesson 43 Chords, Secants, and Tangents
 * 55) Lesson 44 Applying Similarity
 * 56) Lesson 45 Introduction to Coordinate Proofs
 * 57) Lesson 46 Triangle Similarity - AA, SSS, SAS
 * 58) Lesson 47 Circles and Inscribed Angles
 * 59) Lesson 48 Indirect Proofs
 * 60) Lesson 49 Introduction to Solids
 * 61) Lesson 50 Geometric Mean
 * 62) Investigation 5 Nets
 * 63) Lesson 51 Properties of Isosceles and Equilateral Triangles
 * 64) Lesson 52 Properties of Rectangles, Rhombuses, and Squares
 * 65) Lesson 53 45-45-90 Right Triangles
 * 66) Lesson 54 Representing Solids
 * 67) Lesson 55 Triangle Midsegment Theorem
 * 68) Lesson 56 30-60-90 Right Triangles
 * 69) Lesson 57 Finding Perimeter and Area with Coordinates
 * 70) Lesson 58 Tangents and Circles, Part 1
 * 71) Lab 8 Construction - Tangent to a Circle
 * 72) Lesson 59 Finding Surface Areas and Volumes of Prisms
 * 73) Lesson 60 Proportionaility Theorems
 * 74) Investigation 6 Geometric Probability

• Resources

 * For GeoGebra - go to Mathematics page.
 * Mathematica Player - for Wolfram Research 's Demonstrations project and allow playing of //Mathematica// Notebook files interactively. (I am biased to CAS; especially // Mathematica // and Derive [used in TI CAS graphing calculators, including TI-Nspire family])
 * Miscellaneous GeoGebra links - great resource
 * Mathematica Player - for Wolfram Research 's Demonstrations project and allow playing of //Mathematica// Notebook files interactively. (I am biased to CAS; especially // Mathematica // and Derive [used in TI CAS graphing calculators, including TI-Nspire family])
 * Geometry Problem of the Week (PoW) - from The Math Forum @ Drexel University
 * Euclid's Elements - includes Geometry Applet (dynamic geometry!)
 * dy/dan geometry - set of PowerPoint slides, and worksheets for a year, week-by-week
 * Teaching Geometry with Google Sketchup
 * Centroid - Geogebra interactive manipulative
 * Incenter - Geogebra interactive manipulative
 * Orthocenter - Geogebra interactive manipulative

• Videos
> Lines, curves, polygons and planes--gemstones and jewelry are rich in geometry. A jewelry appraiser, a jewelry historian and a Brazilian gem cutter give your students an inside look at the many facets of this dazzling subject. > **Watch the movie:** [|**www.thefutureschannel.com/dockets/realworld/gems_and_jewelry/**]
 * Geometry - collection of videos from The Futures Channel
 * Problem Solving - collection of videos from The Futures Channel
 * **GEOMETRY THAT SPARKLES | //Gems & Jewelry//**