web viewpick one vocab word and make a notecard (define in your own words and draw a picture) cw/hw:...
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CHAPTER 1 PACKETDATE(S) LESSON ESSENTIAL QUESTION I WILL…. Assignments
Class Introduction
What are the DHS policies and procedures?
1) What is my schedule and where are my classes?
2) What are the expectations of DHS students?
3) What are the lunch procedures at DHS?
4) What is the bell schedule at DHS?
5) What are the guidelines when using school computers?
6) What do I need to do to be able to drive myself to school?
Review the policies and procedures that make DHS a safe place to learn.1) indicate the location of my classes on the map provided.2) be able to name two of the expectations of DHS students.3) explain lunch procedures and name an academic activity I can accomplish during Power Hour.4) explain the difference between regular days, block days, and early release days.5) identify an appropriate educational use of the internet.6) explain the procedure to obtain a student parking pass.
BW: Entry Level Assessment page xxxix-xl #1-2
CW/HW:1. Review Policies and
Procedures2. Introduce I AM
Project: DUE __________
3. Algebra I Review WS
EXIT: 1. Answer I will using 2
complete sentences.
Lesson 1.2: Points, Lines, and Planes
Pages 11-19
What are the accepted facts and basic terms and definitions of geometry?
Use the textbook to define, name, and draw the accepted facts and basic terms of geometry.
BW: Entry Level Assessment
page xxxix-xl #3 Get Ready page 1 (on
notebook paper)CW/HW:
1. Vocabulary Graphic Organizer
2. WB pages 7-9 #s __________
3. Pick one vocab word and make a notecard (define in your own words and draw a picture)
EXIT:1. Page 16 #1-7
Lesson 1.3: Measuring Segments
Pages 20-26
How can you use number operations to find and compare lengths of segments?
Use number operations to find and compare lengths of segments.
BW: Entry Level Assessment page
xxxix-xl #4-5CW/HW:
1. Lesson 1.3 Notes2. WB page 11 #s __________3. WB page 13 #s __________
EXIT:1. Page 23 #1-4
Lesson 1.4: Measuring Angles
Pages 27-33
Lesson 1.5: Exploring Angle Pairs
Pages 34-40
How can you use number operations to find and compare the measure of angles?
How can special angle pairs help you identify geometric relationships?
Use number operations to find and compare the measure of angles.
Use special angle pairs to find angle measures.
BW: WB page 14
CW/HW:1. Lesson 1.4/1.5 Notes2. WB pages:
15-17 #’s _________, 19-21 #’s _________
3. Pick one vocab word and make a notecard (define in your own words and draw a picture)
EXIT:1. Page 31 # 1-32. Page 37 #1-6
Lesson 1.1: Nets and Drawings for Visualizing Geometry
Pages 4-10
How can you represent a three-dimensional object with a two-dimensional drawing?
Represent three-dimensional objects by drawing nets and isometric and orthographic drawings.
CW/HW: copy vocabulary, discuss, and draw
Lesson 1.7: Midpoint and Distance in the Coordinate Plane
Pages 50-56
How can you find the midpoint and length of any segment in a coordinate plane?
Use the midpoint and distance formulas to find the length of segments in the coordinate plane.
BW: Pick one vocab word
and make a notecard (define in your own words and draw a picture)
CW/HW:1. Lesson 1.7 Notes2. Page 54 #7-35 odd
EXIT: 1. Page 53 #1-5
Lesson 1.8: Perimeter, Circumference, and Area
Pages 59-67
How do you find the perimeter and area of geometric figures?
Use the formulas for perimeter and area measure geometric figures.
BW: 1.4-1.5 review questions
on boardCW/HW:
1. Lesson 1.8 Notes2. Page 64-65 #7-37 odd
EXIT: 1. Page 64 #1-4
Lesson 1.6: Basic Constructions
Pages 43-48
What special geometric tools can you use to construct congruent figures without measuring?
Use geometric tools to construct more accurate congruent figures.
BW: Page 54 #6, 10, 16, 22 RLC Review Questions Page 79 #12-17
CW/HW:1. Lesson 1.6 Notes2. Chapter 2 Are you ready!
EXIT: 1. Page 46 #1-42. Exit Slip #3: p. 56 #62-62
(1.7), p. 67 #61 (1.8)
BELL WORK
BELL WORK
EXITS
EXITS
“I AM” PROJECTWhat: A unique project that allows you to express yourself through words, numbers and pictures.Why: So your peers and teacher can get to know you better.When: Due Friday, August 22nd (presenting in front of the class is extra credit).
How: Using any available resources, you will create a project that represents you as a person. Your project could be made using a power point, poster board, computer paper, construction paper, etc. The point is to be creative and let us get to know you better.You must include the following:
5 pictures (graphic, photos, magazine pictures, hand drawn, etc.) 5 adjectives/words that describe you 2 numbers (represent you or are meaningful) 10-15 sentences (see below)
Using the example sentence starters given in class, pick at least 10 but no more than 15 to complete your sentences. The first and last sentence must begin with “I am________________ (your name). These do not count as part of the 10 required sentences.Feel free to use any sentence starters, but just be sure your sentence begins with the letter “I” first.
HAVE FUN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE: _______________
EXAMPLE of I AMI am______________________________________ (name).I am always___________________________________________________________________________.I am not_____________________________________________________________________________.I can never seem to____________________________________________________________________.I hate________________________________________________________________________________.I love________________________________________________________________________________.I can’t live without_____________________________________________________________________.I wish________________________________________________________________________________.I am afraid of_________________________________________________________________________.I can_________________________________________________________________________________.I like when___________________________________________________________________________.I may________________________________________________________________________________.I know_______________________________________________________________________________.I don’t know__________________________________________________________________________.I dream of one day being_______________________________________________________________.I usually_____________________________________________________________________________.I can always be found__________________________________________________________________.I can’t believe_________________________________________________________________________.I hope that one day____________________________________________________________________.I think_______________________________________________________________________________.I trust that___________________________________________________________________________.I will always__________________________________________________________________________.I am_________________ (name).
1.1 Nets and Drawings for Visualizing Geometry
Net:
Isometric drawing:
Orthographic drawing:
1.2 Points, Lines, and PlanesVocabulary Term Description How to Name It Diagram
A _______________ indicates a location
and has no size.
You can represent a point by a _________
and name it with a _________________
___________________.
A ________ is represented by a straight
path that extends in two ____________
directions without end and has no
____________. A line contains infinitely
many ___________.
You can name a line by any _______
_____________ on the line, or by a single
____________ ______ letter.
A ___________ is represented by a
________ surface that extends without
You can name a plane by a
_____________ letter or by any three
_______ and has no
___________________.
A plane contains infinitely many
____________.
__________ in the plane.
Points that lie on the same _________ are
called _______________ ____________.
What are the names of three collinear
points?
Points ____, _____, and ____ are
collinear.
Points and lines that lie in the
_____________ plane are
________________. _____ the points of a
_______ are coplanar.
What are the names of four coplanar
points?
Points _____, ____, _____, and ____ are
coplanar.
_________ is the set of all ____________
in three dimensions.
A ________________ is part of a line that
consists of two _____________ and all
points _______________ them.
You can name a segment by its ________
__________________.
A ______ is part of a line that consists of
one ________________ and all the
______________ of the line on one side of
the endpoint.
You can name a ray by its _____________ and another ___________ on the ray. The ____________ of the points indicates the ray’s _________________.
____________ __________ are ________
rays that share the ________ endpoint and
form a _________.
You can name opposite rays by their
__________ endpoint and _______ other
____________ on each ray.
A __________________ OR
_________________ is an accepted
statement or fact. Postulates, like
________________ terms, are basic
building blocks of the
__________________ system of
geometry. You will use
________________
_____________________ to prove general
concepts.
(Please see the table of Postulates
1-1, 1-2, 1-3, and 1-4 below.)
When you have two or more geometric
figures, their __________________ is the
set of points the ______________ have in
_______________.
Postulate Name Description Diagram
Postulate 1-1 Through any two points there is exactly one __________.
Postulate 1-2If two distinct lines intersect, then they intersect in exactly
one _______.
Postulate 1-3If two distinct planes ____________, then they
______________ in exactly one line.
Postulate 1-4Through any three noncollinear points there is exactly one
_____________.
1.3 Measuring SegmentsThe real number that _____________________ to a point is called the ____________________ of the point.
The _________________________ between points A and B is the ____________________
_________________ of the difference of their coordinates, or ______________.
Example 1: Measuring Segment Length
What are UV and SV on the number line above? UV= SV=
Postulate 1-6: Segment Addition Postulate
If three points A, B, and C are ___________________ and B is ___________________ A and C, then AB + BC = AC.
Example 2: Using the Segment Addition Postulate
Example 3: Comparing Segment Lengths
Use the diagram above. Is segment AB congruent to segment DE?
Example 4: Using the Midpoint
1.4 Measuring Angles
The ___________________ of an angle is the region containing
________________________________________________________________.
The ___________________ of an angle is the region containing
________________________________________________________________.
Example 1: Naming Angles
TYPES OF ANGLES:Acute angle
Between _____ and ______ degrees
Right angle
Exactly _______ degrees
Obtuse angle
Between ________ and _______ degrees
Straight angle
Exactly _______ degrees
Example 2: Measuring and Classifying Angles
What are the measures of angles LKH,
HKN, and MKH?
Classify each angle as acute, right, obtuse, or
Congruent Angles:
Postulate 1-8 Angle Addition Postulate: If point B is in the __________________________ of
____________________,
then __________________________________________________.
Example 3: Using the Angle Addition Postulate
1.5 Exploring Angle Pairs
What are the measures of angles LKH,
HKN, and MKH?
Classify each angle as acute, right, obtuse, or
Types of Angle Pairs
Adjacent angles are two coplanar angles
with a common ____________, a common
_____________, and ________ common
interior points.
Vertical angles are two angles whose sides
are _________________________
_________________.
Complementary angles are two angles
whose
____________________________________
___________
___________________________________.
Each angle is called the complement of the
other.
Supplementary angles are two angles whose
____________________________________
___________
___________________________________.
Each angle is called the supplement of the
other.
Example 1: Identifying Angle Pairs
Linear pair:Linear Pair:
1. 5 and 4 are supplementary angles.
2. 6 and 5 are adjacent angles.
3. 1 and 2 are a linear pair.
Postulate 1-9 Linear Pair Postulate: If two angles for a linear pair, then they are ______________________.
Example 2: Missing Angle Measures
Angle bisector:
Example 3: Using an Angle Bisector to Find Angle Measures
1.7 Midpoint and Distance in the Coordinate Plane
In the diagram, bisects WXZ.
a. Solve for x and find mWXY.
b. Find mYXZ.
c. Find mWXZ.
Angles KPL and JPL are a linear pair. What are their measures?
Formulas:
Midpoint on a number line Midpoint on a graph Distance
Example 1: Finding the Midpoint1. Find the coordinate of the midpoint of the segment with the given endpoints: -8 and 12
2. Find the coordinates of the midpoint of
Example 2: Finding the Endpoint
The coordinates of point S are (9, -3). The midpoint of is (6, 10). Find the coordinates of point R.
Example 3: Finding Distance
Find the distance between the pair of points. If necessary, round to the nearest tenth.
C(2, 6), D(10, 8)
1.8 Perimeter, Circumference, and Area
Perimeter, P: ________ of lengths of all __________
Circumference, C: Perimeter of a _______________
Area, A: number of __________ __________it encloses
SquareSide length s
P = A =
TriangleSide lengths a, b, and cBase b, and height h
P =
A =
RectangleBase b and height h
P =
A =
CircleRadius r and diameter d
C =C =
A =
You can name a circle with the symbol _________.
Pi = ______ = ________ = ________
Postulate 1-10: Area Addition Postulate: The area of a region is the ________ _____ _____ ________ of its
nonoverlapping parts
Example #1: Perimeter of a RectangleYou want to frame a picture that is 5 in. by 7 in. with a 1-in.-wide frame.
Example #2: Circumferencea) What is the circumference of a circle with radius of 24 m in terms of π?
s
a c
h
b
h
b
C
a) What is the perimeter of the picture?
P = 2b + 2hP = 2 ( ) + 2 ( )P =
b) What is the perimeter of the outside edge of the frame?P = 2b + 2hP = 2 ( ) + 2 ( )P =
C = 2 π rC = 2 π ( )C =
b) What is the circumference of a circle with diameter 24 m to the nearest tenth?
C = π dC = π ( )C =
Example #3: Perimeter in the Coordinate PlaneGraph quadrilateral JKLM with vertices J(-3, -3), K(1, -3), L(1, 4), and M(-3, 1). What is the perimeter of JKLM?
P = J + K + L + MP =
Example #4: Area of a RectangleYou are designing a poster that will be 3 yd. wide and 8 ft. high. How much paper do you need to make the poster? Give your answer in square feet.
1 yard = ____ feet, so 3 yd. = ______ feet
A = bhA = ( ) ( )A =
Example #5: Area of a CircleThe diameter of a circle is 14 ft.a) What is the area of the circle in terms of π?
Example #6: Area of an Irregular Shape
What is the area of the figure below?
d = 14 feet, so r = ________ feet
A = πr2
A = π()2
A = π ( )A =
b) What is the area of the circle using an approximation of π?