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Bell Ringer Get out your notebook and prepare to take notes on Chapter 9 In your notes, name 5 shapes you see in the classroom

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Spatial Thinking

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9.1 Introduction to Geometry: Points, Lines, and Planes (Page 462) Essential Question: What is the difference between a point, line, and plane?

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9.1 cont.

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Example 1: Name 4 different points Name 4 different segments Name 4 different lines Name 5 different rays

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9.1 cont Parallel Lines: Lie in the same plane Do not intersect

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9.1 cont. Skew Lines: Lines that do not lie in the same plane Are not parallel Do not intersect

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9.1 cont. Example 2: Name 4 different points Name 4 different segments

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9.1 - Closure What 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

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9.1 - Homework Page 465-466, 2-38 even

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Bell Ringer Get 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?

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9.2 Angle Relationships and Parallel Lines (Page 469) Essential Questions: 1. What is a transversal? 2. What congruent angles are formed when a transversal intersects two parallel lines?

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9.2 cont. Vertical angles Formed by two intersecting lines Angles opposite one another are CONGRUENT Congruent - have the same measure Adjacent angles Common vertex and common side

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9.2 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? 145

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9.2 cont. Supplementary angles Angles that add to 180 degrees Complementary angles Angles that add to 90 degrees

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9.2 cont. Example 2: In the following figure, if the measure of angle DKH is 73, find the measures of the angles GKJ and JKF: 73 17 73

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9.2 cont. Transversal A line that intersects two or more lines at different points

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9.2 cont. Corresponding Angles Lie on same side of the transversal Have corresponding positions at each intersection Are congruent Alternate Interior Angles Lie within a pair of lines On opposite sides of the transversal Are congruent A E B F E HG F CD GH

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

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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. = 56

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Mimio Software Match the angle pair with the proper name

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9.2 - Closure 1. What is a transversal? A line that intersects two or more lines at different points 2. What congruent angles are formed when a transversal intersects two parallel lines? Corresponding angles Alternate interior angles Vertical angles Complementary/Supplementary angles

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9.2 - Homework Page 472-473, 2-26 even

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Bell Ringer Get 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

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9.3 Classifying Polygons (Page 474) Essential Question: How do we classify polygons?

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

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

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9.3 cont. Example 1: Classify LMN by its sides and angles: 2 congruent sides 3 acute angles isosceles acute triangle

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9.3 cont. Quadrilateral: A polygon with 4 sides Can be classified by angle measures or side lengths Name quadrilaterals by listing vertices in consecutive order

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9.3 cont. Example 2: How would you classify the following figure? Opposite sides are parallel Adjacent sides are not equal Parallelogram

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9.3 cont. Regular Polygons: All sides and angles congruent

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

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9.3 - Closure How do we classify polygons? By its sides and angles!!

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9.3 - Homework Page 477-478, 2-24 even Page 517-518, 9-22 QUIZ TOMORROW!!

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Bell Ringer Prepare 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

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9.6/10.1-10.3 Area Essential Question: How do we find the area of a parallelogram, triangle, trapezoid, and circle?

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9.6/10.1-10.3 - Area Application: Construction Farming Architecture Engineering Area: Number of square units a figure encloses

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9.6/10.1-10.3 cont. Period 3 Groups Circles Sara B Savannah R Dustin G Emma H Garrett B Trapezoids Alexis I Jordan K Ramiro S Chris C Joseph R Triangles Callie M Kiersten Y Antoinette M Brandon D Parallelograms Britt H Ryan H Sarah T Wyatt T

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9.6/10.1-10.3 cont. Period 4 Groups Circles Robert L Alexis H Alexis K Daphne Trapezoids Ben S Tayla D Austin B Triangles Cole S Josh C Tyler S Parallelograms Alexis P Johanna K Austin P Chris M

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9.6/10.1-10.3 cont. Period 5 Groups Circles Rachael M Favian G Morgan Z Justin B Emma M Trapezoids Erin B Zach L Alexis W Dillon G Hannah H Triangles Kyle S Christian S Andrew R Hunter S McKenzie G Parallelograms Andrew B Jacqueline W Kimberly R Tanesha F Brianna I

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9.6/10.1-10.3 cont. Period 8 Groups Circles Aaron B Hailey S Samantha G Kayleen L Colby W Brenden C Trapezoids Cameron S Alayna K Ethan T Camryn M Tyler M Triangles Paetyn K Ciara H Luke B Jack G Dakota S Parallelograms Tesa H Ian W Lindsey A Kaelley K Johnny L

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HOMEWORK: Page 493; 2-8 even Page 528; 2-8 even Page 536; 2-10 even Page 541; 2-10 even

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Bell Ringer 1. Get out your 8.5 homework assignment 2. Get out your notebook and prepare to take notes on Section 9.6 3. Pick your favorite type of pizza and put a tally mark in the appropriate box in the following table: Pepperoni Plain Meat Lovers Taco Buffalo Chicken

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9.6 Circle Graphs Essential Question: How does a circle graph represent data?

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9.6 cont. Circle Graph: Shows how parts of a data set relate to the whole Entire circle = the whole Each sector represents part of the whole Total must equal 100%

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9.6 cont. Interactive Circle Graph

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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?

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

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

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9.6 - Closure How does a circle graph represent data? Represents a whole Each sector is part of the whole

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9.6 - Homework WORKSHEET Page 687-688; 9-14 Page 455; 28-31