CHAPTER 1 PACKET DATE(S) LESSON Class Introduction ESSENTIAL QUESTION I WILL…. Review the policies and procedures that make What are the DHS policies DHS a safe place to and procedures? learn. 1) indicate the location of 1) What is my schedule and my classes on the map where are my classes? provided. 2) be able to name two of 2) What are the expectations the expectations of DHS of DHS students? students. 3) explain lunch 3) What are the lunch procedures and name an procedures at DHS? academic activity I can accomplish during Power 4) What is the bell schedule at Hour. DHS? 4) explain the difference between regular days, 5) What are the guidelines block days, and early when using school computers? release days. 5) identify an appropriate 6) What do I need to do to be educational use of the able to drive myself to school? internet. 6) explain the procedure to obtain a student parking pass. Assignments BW: Entry Level Assessment page xxxix-xl #1-2 CW/HW: 1. Review Policies and Procedures 2. Introduce I AM Project: DUE __________ 3. Algebra I Review WS EXIT: 1. Answer I will using 2 complete sentences. BW: Entry Level Assessment page xxxix-xl #3 Get Ready page 1 (on notebook paper) CW/HW: Lesson 1.2: Points, Lines, and Planes What are the accepted facts and basic terms and definitions of geometry? Pages 11-19 Lesson 1.3: Measuring Segments Pages 20-26 Use the textbook to define, name, and draw the accepted facts and basic terms of geometry. 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 BW: How can you use number operations to find and compare lengths of segments? Use number operations to find and compare lengths of segments. Entry Level Assessment page xxxix-xl #4-5 CW/HW: 1. Lesson 1.3 Notes 2. WB page 11 #s __________ 3. WB page 13 #s __________ EXIT: 1. Page 23 #1-4 BW: Lesson 1.4: Measuring Angles Pages 27-33 Lesson 1.5: Exploring Angle Pairs 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 special angle pairs to find angle measures. Pages 34-40 Lesson 1.1: Nets and Drawings for Visualizing Geometry How can you represent a three-dimensional object with a two-dimensional drawing? WB page 14 CW/HW: 1. Lesson 1.4/1.5 Notes 2. WB pages: Use number operations to 15-17 #’s _________, find and compare the 19-21 #’s _________ measure of angles. 3. Pick one vocab word Represent threedimensional objects by drawing nets and isometric and orthographic drawings. and make a notecard (define in your own words and draw a picture) EXIT: 1. Page 31 # 1-3 2. Page 37 #1-6 CW/HW: copy vocabulary, discuss, and draw Pages 4-10 Lesson 1.7: Midpoint and Distance in the Coordinate Plane BW: Pick one vocab word How can you find the midpoint and length of any segment in a coordinate plane? Pages 50-56 and make a notecard (define in your own words and draw a picture) Use the midpoint and distance formulas to find the length of segments in CW/HW: the coordinate plane. 1. Lesson 1.7 Notes 2. Page 54 #7-35 odd EXIT: 1. Page 53 #1-5 BW: Lesson 1.8: Perimeter, Circumferenc e, and Area How do you find the perimeter and area of geometric figures? Use the formulas for perimeter and area measure geometric figures. Pages 59-67 1.4-1.5 review questions on board CW/HW: 1. Lesson 1.8 Notes 2. 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 Notes 2. Chapter 2 Are you ready! EXIT: 1. Page 46 #1-4 2. Exit Slip #3: p. 56 #62-62 (1.7), p. 67 #61 (1.8) BELL WORK BELL WORK EXITS EXITS “I AM” PROJECT What: 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 AM I 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: Postulate Name Postulate 1-1 Postulate 1-2 Postulate 1-3 Description Through any two points there is exactly one __________. If two distinct lines intersect, then they intersect in exactly one _______. If two distinct planes ____________, then they ______________ in exactly one line. Diagram 1.2 Points, Lines, and Planes Vocabulary Term Description A _______________ indicates a location and has no size. How to Name It Diagram You can represent a point by a _________ and name it with a _________________ ___________________. A ________ is represented by a straight You can name a line by any _______ path that extends in two ____________ _____________ on the line, or by a single directions without end and has no ____________ ______ letter. ____________. A line contains infinitely many ___________. A ___________ is represented by a ________ surface that extends without You can name a plane by a _______ and has no _____________ letter or by any three ___________________. __________ in the plane. A plane contains infinitely many ____________. What are the names of three collinear Points that lie on the same _________ are points? called _______________ ____________. Points ____, _____, and ____ are collinear. Points and lines that lie in the What are the names of four coplanar _____________ plane are points? ________________. _____ the points of a Points _____, ____, _____, and ____ are _______ are coplanar. coplanar. _________ is the set of all ____________ in three dimensions. A ________________ is part of a line that You can name a segment by its ________ consists of two _____________ and all __________________. points _______________ them. A ______ is part of a line that consists of the endpoint. You can name a ray by its _____________ and another ___________ on the ray. The ____________ of the points indicates the ray’s _________________. ____________ __________ are ________ You can name opposite rays by their rays that share the ________ endpoint and __________ endpoint and _______ other form a _________. ____________ on each ray. one ________________ and all the ______________ of the line on one side of A __________________ OR _________________ is an accepted statement or fact. Postulates, like (Please see the table of Postulates 1-1, 1-2, 1-3, and 1-4 below.) ________________ terms, are basic building blocks of the __________________ system of geometry. You will use ________________ _____________________ to prove general concepts. When you have two or more geometric figures, their __________________ is the set of points the ______________ have in _______________. Postulate 1-4 Through any three noncollinear points there is exactly one _____________. 1.3 Measuring Segments The 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 Right angle Between _____ and ______ degrees Exactly _______ degrees Obtuse angle Straight angle Between ________ and _______ degrees Exactly _______ degrees Example 2: Measuring and Classifying Angles What are the measures of angles LKH, HKN, and MKH? 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 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 1. 5 and 4 are supplementary angles. 2. 6 and 5 are adjacent angles. Linear pair: 3. 1 and 2 are a linear pair. Linear Pair: Postulate 1-9 Linear Pair Postulate: If two angles for a linear pair, then they are ______________________. Example 2: Missing Angle Measures Angles KPL and JPL are a linear pair. What are their measures? Angle bisector: Example 3: Using an Angle Bisector to Find Angle Measures In the diagram, bisects WXZ. a. Solve for x and find mWXY. b. Find mYXZ. c. Find mWXZ. 1.7 Midpoint and Distance in the Coordinate Plane Formulas: Midpoint on a number line Midpoint on a graph Distance Example 1: Finding the Midpoint 1. Find the coordinate of the midpoint of the segment with the given endpoints: -8 and 12 2. Find the coordinates of the midpoint of CD. Example 2: Finding the Endpoint The coordinates of point S are (9, -3). The midpoint of RS 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 Triangle Square Side lengths a, b, and c Side length s s P= Base b, and height h P= h A= A= Rectangle Base b and c a Circle h Radius r and diameter d height h P= b C= b A= C= A= C 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 Rectangle You want to frame a picture that is 5 in. by 7 in. with a 1in.-wide frame. Example #2: Circumference a) What is the circumference of a circle with radius of 24 m in terms of π? C=2πr C=2π( C= ) a) What is the perimeter of the picture? P = 2b + 2h P=2( )+2( P= ) b) What is the perimeter of the outside edge of the frame? P = 2b + 2h P=2( )+2( P = b) What is the circumference of a circle with diameter 24 m to the nearest tenth? C=πd C=π( C= ) ) Example #3: Perimeter in the Coordinate Plane Example #4: Area of a Rectangle Graph quadrilateral JKLM with vertices J(-3, -3), K(1, -3), L(1, 4), and M(-3, 1). What is the perimeter of JKLM? You 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. P=J+K+L+M P= 1 yard = ____ feet, so 3 yd. = ______ feet A = bh A=( )( A= ) Example #5: Area of a Circle The diameter of a circle is 14 ft. a) What is the area of the circle in terms of π? d = 14 feet, so r = ________ feet A = π 𝑟2 A = π ( )2 A=π( ) A= b) What is the area of the circle using an approximation of π? Example #6: Area of an Irregular Shape What is the area of the figure below?