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Bell RingerGet out your notebook and prepare to take notes on Chapter 9

In your notes, name 5 shapes you see in the classroom

Chapter 9Spatial Thinking

9.1 Introduction to Geometry: Points, Lines, and Planes (Page 462)Essential Question:

What is the difference between a point, line, and plane?

9.1 cont.

9.1 cont.Example 1:

Name 4 different pointsName 4 different segmentsName 4 different linesName 5 different rays9.1 contParallel Lines:Lie in the same planeDo not intersect

9.1 cont.Skew Lines:Lines that do not lie in the same planeAre not parallelDo not intersect

9.1 cont.Example 2:

9.1 - ClosureWhat is the difference between a point, line, and plane?

Point:A location in space

Line:A Series of Points that extends in two directions without end

Plane:A flat surface that extends without end

9.1 - HomeworkPage 465-466, 2-38 even

Bell RingerGet out your 9.1 homework assignment

Get out your notebook and prepare to take notes on Section 9.2

What is the measure (in degrees) of a right angle? A straight line?

9.2 Angle Relationships and Parallel Lines (Page 469)Essential Questions:

What is a transversal?

What congruent angles are formed when a transversal intersects two parallel lines?

9.2 cont.Vertical anglesFormed by two intersecting linesAngles opposite one another are CONGRUENTCongruent - have the same measure

Adjacent anglesCommon vertex and common side9.2 cont.Example 1:Name a pair of adjacent angles and a pair of vertical angles in the figure below:

What is the measure of angle HGK?1459.2 cont.Supplementary anglesAngles that add to 180 degrees

Complementary anglesAngles that add to 90 degrees9.2 cont.Example 2:In the following figure, if the measure of angle DKH is 73, find the measures of the angles GKJ and JKF:

7317739.2 cont.TransversalA line that intersects two or more lines at different points

9.2 cont.Corresponding AnglesLie on same side of the transversalHave corresponding positions at each intersectionAre congruentAlternate Interior AnglesLie within a pair of linesOn opposite sides of the transversalAre congruent

AEBFEHGFCDGH9.2 cont.Example 3:Identify each pair of corresponding angles and each pair of alternate interior angles in the following figure:

9.2 cont.Example 4:If p is parallel to q in the following figure, and the measure of angle 3 is 56, find the measure of angle 6.

= 56Mimio SoftwareMatch the angle pair with the proper name

9.2 - ClosureWhat is a transversal?A line that intersects two or more lines at different pointsWhat congruent angles are formed when a transversal intersects two parallel lines?Corresponding anglesAlternate interior anglesVertical anglesComplementary/Supplementary angles

9.2 - HomeworkPage 472-473, 2-26 even

Bell RingerGet out your 9.2 homework assignment

Get out your notebook and prepare to take notes on Section 9.3

In your notes, list 5 polygons you see in the classroom

9.3 Classifying Polygons (Page 474)Essential Question:

How do we classify polygons?

9.3 cont.Polygon:Many-sided figureHas at least 3 sides

9.3 cont.Triangle:A polygon with 3 sidesCan be classified by angle measures or side lengthsTick marks are used to indicate congruent sides

9.3 cont.Example 1:Classify LMN by its sides and angles:

2 congruent sides3 acute anglesisosceles acute triangle9.3 cont.Quadrilateral:A polygon with 4 sidesCan be classified by angle measures or side lengthsName quadrilaterals by listing vertices in consecutive order

9.3 cont.Example 2:How would you classify the following figure?

Opposite sides are parallelAdjacent sides are not equalParallelogram9.3 cont.Regular Polygons:All sides and angles congruent

9.3 cont.Example 3:Find the perimeter of a regular hexagon with a side length of 7.

9.3 - ClosureHow do we classify polygons?

By its sides and angles!!

9.3 - HomeworkPage 477-478, 2-24 evenPage 517-518, 9-22 QUIZ TOMORROW!!

Bell RingerPrepare to ask questions about the 9.1-9.3 quiz

In your notes, write a short description of area and be prepared to share it with the class

9.6/10.1-10.3 AreaEssential Question:

How do we find the area of a parallelogram, triangle, trapezoid, and circle?

9.6/10.1-10.3 - AreaApplication:Construction Farming Architecture Engineering

Area:Number of square units a figure encloses

9.6/10.1-10.3 cont.Period 3 GroupsCirclesSara BSavannah RDustin GEmma HGarrett BTrapezoidsAlexis IJordan KRamiro SChris CJoseph RTrianglesCallie MKiersten YAntoinette MBrandon DParallelogramsBritt HRyan HSarah TWyatt T9.6/10.1-10.3 cont.Period 4 GroupsCirclesRobert LAlexis HAlexis KDaphneTrapezoidsBen STayla DAustin BTrianglesCole SJosh CTyler SParallelogramsAlexis PJohanna KAustin PChris M9.6/10.1-10.3 cont.Period 5 GroupsCirclesRachael MFavian GMorgan ZJustin BEmma M

TrapezoidsErin BZach LAlexis WDillon GHannah HTrianglesKyle SChristian SAndrew RHunter SMcKenzie GParallelogramsAndrew BJacqueline WKimberly RTanesha FBrianna I9.6/10.1-10.3 cont.Period 8 GroupsCirclesAaron BHailey SSamantha GKayleen LColby WBrenden CTrapezoidsCameron SAlayna KEthan TCamryn MTyler MTrianglesPaetyn KCiara HLuke BJack GDakota SParallelogramsTesa HIan WLindsey AKaelley KJohnny LHOMEWORK:Page 493; 2-8 evenPage 528; 2-8 evenPage 536; 2-10 evenPage 541; 2-10 evenBell RingerGet out your 8.5 homework assignment

Get out your notebook and prepare to take notes on Section 9.6

Pick your favorite type of pizza and put a tally mark in the appropriate box in the following table:PepperoniPlainMeat LoversTacoBuffalo Chicken9.6 Circle GraphsEssential Question:

How does a circle graph represent data?

9.6 cont.Circle Graph:Shows how parts of a data set relate to the wholeEntire circle = the wholeEach sector represents part of the wholeTotal must equal 100%

9.6 cont.Interactive Circle Graph

9.6 cont.Example 1:21.3 million people in the US use food pantries each year. How many people who use food pantries is 17 or younger?

How many people who use food pantries are 50 or older?9.6 cont.Example 2:Make a circle graph for the following data:

9.6 cont.Example 2:Make a circle graph for the following data:

9.6 - Closure

How does a circle graph represent data?

Represents a whole

Each sector is part of the whole9.6 - HomeworkWORKSHEETPage 687-688; 9-14Page 455; 28-31