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
Slide 2
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
Slide 22
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
Slide 23
9.2 - Homework Page 472-473, 2-26 even
Slide 24
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!!
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
Slide 42
HOMEWORK: Page 493; 2-8 even Page 528; 2-8 even Page 536; 2-10
even Page 541; 2-10 even
Slide 43
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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Slide 47
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:
Slide 51
Slide 52
9.6 - Closure How does a circle graph represent data?
Represents a whole Each sector is part of the whole