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?