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Find your name tent and try to solve these two puzzlesPuzzle 1Six wolves catch six lambs in six minutes.

How many wolves will be needed to catch sixty lambs in sixty minutes?Puzzle 2"What day do you go back to school, Horace?" asked his grandmother one day.

"Well," Horace replied, "Nine days ago, the day before yesterday was three weeks before the second day of the term.

If Horace had this conversation on a Sunday, what day of the week did he start school?Answers to the PuzzlesIt will only take SIX wolvesThe reason is because the rate of the six wolves together is catching one sheep per minute. So if they have sixty minutes, those six wolves should catch sixty sheep. If the wolves had 24 minutes they should catch 24 sheep.

The answer is TUESDAYThe reasoning runs as follows:Today is Sunday.So seven days ago was Sunday too. That means that NINE days ago was Friday.On Friday, the day before yesterday was Wednesday.Three weeks later is Wednesday again.That is the second day of term.So the term began on Tuesday.Lets make sure everyone is herePinnacle Quick AttendanceA little bit about Mr. JamesFirst name = MattGuess my age26

A little bit about Mr. JamesGuess how long I have been at SouthwestThis is my fourth yearGuess what activities I sponsor at SouthwestCross CountryTrack and FieldFellowship of Christian Athletes (FCA)Strategy Gaming Club

A little bit about Mr. JamesGuess where I went to collegeUniversity of Nebraska in Lincoln

A little bit about Mr. JamesGuess where I went to high schoolSoutheast Nebraska ConsolidatedIt was a class D2 high school between Falls City and Auburn that actually does not exist anymore as it became too small!

A little bit about Mr. JamesGuess how many people were in my graduating class in high school18

A little bit about Mr. JamesGuess how many siblings I haveOne older sister who lives in Texas and is a hospice chaplainGuess what my parents do for a livingDad = dairy farmerMom = office manager of a feedlot

A little bit about Mr. JamesGuess what sports I played in high schoolRunning (xc and track)BasketballI also like to play tennis, ping pong, golf, and baseball/softballI enjoy watching most sportsGuess my other hobbiesRead, do puzzles, play board games, listen to music and danceTravel guess where this picture was takenChina

A little bit about Mr. JamesRandom questions you want to ask me about myself?

General Information about GeometryMr. James WebsiteHandouts: Course Overview, Homework sheet, and Book/Calculator sheetGeneral Grades and Geometry Grades

Class Builder: Four CornersInstructions:Mr. James is going to list options for each of the corners in the room. Pick your favorite and go to that corner when instructed to go.When you get to the corner, find another person (that you havent met yet if possible) and partner upTell each other your name and an interesting fact about yourself (such as what you did over break, what sport/activity you are in, an unusual talent, etc.)Wait until Mr. James gives new instructions to move to another cornerWhat am I going to learn and why should I care about Geometry?In the Geometry content you will learn about two main things:Mathematical relationships between shapesThis is useful for constructing stuff and having a sense of how the physical world worksYou will learn how to think spacially (thinking about how things in 3-D space interact) and how to represent and communicate spacial relationsReasoning and proofAny time you have to think logically and answer why questions you are using reasoning and proofWhat am I going to learn and why should I care about Geometry?Besides the content here are some reasons why you should learn mathYou will need to know it for the ACT, SAT, NeSA-M, Plan, etc. testsThe vast majority of highly desirable jobs require a solid math backgroundThe U.S. is sort of falling behind other countries in math (have you seen those Exxon-Mobil commercials?)Math challenges the mind to think logically and thus makes you smarter. Doesnt everyone want to be smarter?How to be successful in GeometryDo your homeworkThe same way that people never get better at sports if they dont practice, you will not get better at math and thinking if you do not practiceThe majority of the long-term learning actually takes place when you do the math on your own!I do not expect everyone to get every single problem correct, but I do expect EVERYONE to TRY EVERY problemHow to be successful in GeometryTake notesIf you want to be as successful as possible, you should basically write down the notes that I go over in classIn math classes it is also a great idea on a page separate from your notes to keep a list of these important things:Definitions, Formulas, Postulates, Theorems, etc. (you will learn what those words mean later)How to be successful in GeometryParticipate in class and ask questionsGet extra help if needed (best time is before school)Stay caught up if you get behind it only becomes harderOther ideas? Any questions?Chapter 1 Essentials of GeometryGet ready to take some notesAs a guide, I recommend that you only actually write down the stuff in yellow along with drawing some of the picturesSection 1.1 Identify Points, Lines, and PlanesDivide the top half of your paper into three vertical columns. The titles for the columns should be Points, Lines, and PlanesTry to write a definition of each of these terms in your columnsThis is a difficult task as these are actually known as undefined terms in Geometry!

Section 1.1 Identify Points, Lines, and PlanesWhat do we use to represent a point?A point is represented by a dotHow many dimensions does a point exist in?It has no dimensions (this will make more sense soon)What is the best way to communicate to someone which point we are talking about in the diagram?We label each point with a Capital letter

Section 1.1 Identify Points, Lines, and PlanesWhat do we use to represent a point?A point is represented by a dotHow many dimensions does a point exist in?It has no dimensions (this will make more sense soon)What is the best way to communicate to someone which point we are talking about in the diagram?We label each point with a Capital letterExample: Point B

Section 1.1 Identify Points, Lines, and PlanesHow do we represent a line?An infinite number of dots (points) put together in a straight row with arrows on the endsWhy the arrows?A line extends forever in both directionsHow many dimensions does a line exist in?One dimension (left-right is one dimension, up-down is another, and forward-backward is another)

Section 1.1 Identify Points, Lines, and Planes

Section 1.1 Identify Points, Lines, and PlanesHow do we represent a plane?Something that looks like a floor or wall (but really extends forever)How many dimensions?A plane exists in two dimensionsWhat is it called if it goes forever in three dimensions?Space (the same space that you and I exist in)Sometimes to emphasize the three dimensions we call it 3-space

Section 1.1 Identify Points, Lines, and PlanesHow do we name a plane?Option one: a single letter (that is not referencing a point)Example: plane ROption two: three points that are NOT in a straight line, but are on the planeExample: plane EFG

Section 1.1 Identify Points, Lines, and PlanesMore definitions:CollinearPoints that are all on a line togetherNoncollinear = NOT on the same lineCoplanarPoints, lines, etc. that are all on a plane togetherNoncoplane = NOT on the same planeSection 1.1 Identify Points, Lines, and Planes

Section 1.1 Identify Points, Lines, and Planes

Section 1.1 Identify Points, Lines, and Planes

Section 1.1 Identify Points, Lines, and PlanesWhat do you think it would take for two rays to be opposite rays?They have to have the same endpoint and go in completely opposite directionsThus opposite rays are collinear

Section 1.1 Identify Points, Lines, and Planes

Section 1.1 Identify Points, Lines, and PlanesWhat is formed when two different lines intersect?A point, like point P

Section 1.1 Identify Points, Lines, and Planes

Section 1.1 Identify Points, Lines, and PlanesExamples:Sketch a plane and a line that is in the planeSketch a plane and a line that does not intersect the planeSketch a plane and line that intersects the plane at one point

ClosureOn a half sheet of paper (to turn in when you are finished) write down:3 vocabulary words from todays lessonA drawing of 2 planes intersecting1 question that you haveHomework: your assignment is to have your parents sign and return the form, cover your book, and do the section 1.1 homework from the assignment sheetCheck out books Gradebook Grid