Welcome to Geometry! Ms. Matthews

What is an easy way to remember my name? Matth ews You are in math and you use it!

TAKE CARE OF YOURSELF: If you find that you are having difficulty at ANY time, please talk to your teacher. Course Expectations:

TAKE CARE OF EACH OTHER: Allow everyone to learn and work in this classroom. Respect others and help when asked. Course Expectations:

TAKE CARE OF THIS PLACE: There is to be NO FOOD OR DRINK IN THE CLASSROOM FOR ANY REASON. No music devices, headphones, or cell phones are permitted in the classroom. The item(s) will be sent to the office and a parent will need to pick them up.

REQUIRED MATERIALS: Each student is to come prepared for class and bring the following materials EVERY DAY: A 3- ring binder Several pencils and erasers Ruler and compass TI-30X IIS scientific calculator

Ruler and compass

TI-30X IIS scientific calculator

GRADES: Your grade will be based on the following: Grade breakdown:Grade scale: CW/HW/Group Work20% 98% & up A % B- Warm-ups 5% 93-97% A 78-79% C+ Tests 55% 90-92% A % C Cumulative Exams20%88-89% B % C % B % D 59-0% F

ATTENDANCE: Geometry covers a considerable amount of material. Please note the following: Attendance is very important. If you are absent on a day of a new lesson, you are responsible for making up the notes and homework before the chapter test. If you are absent on a review day, you are expected to do the review on your own and take the test on test day. If you are absent on a test day you must make it up BEFORE the day of the next test on your own time (during after school tutorial or during a free block). This is your responsibility to schedule a time to make up a missed test with your teacher.

DAILY HOMEWORK: Homework will be collected daily. It is graded for completeness and accuracy. It must be complete AND every problem correct to receive full credit. Late work will not be accepted. Absent work is due the day of the test. No work will be accepted after the chapter test.

WARM-UPS: After a lesson, students will complete a warm-up with their group. If you are absent or late you cannot make up the quiz or warm-up. At the end of the quarter, the 3 lowest warm-up scores will be dropped. Only one will be selected from the group to be graded. Each student will receive the score of the one that is graded.

TESTS: Tests cover new material and review material. It is important to make sure you are staying on top of the material.

It is very important to prepare for the test by studying: Re work homework problems Read through your notes Review Warm-ups Go to TESTS:

VIEWING GRADES ONLINE: Grades may be viewed online. They will be updated after each chapter test. To view grades online, please refer to the following instructions. Go to Under Staff, select Directory. Select your teacher’s name Select Visit Website, and navigate to Grades. Enter your student’s ID number.

Things about me: I have a bachelors in Math and a masters in Education

Things about me: I work a lot, and expect you to as well I love music (and will torture you with it!) I love teaching math

Things about the Classroom: Grade sheets will be sent home after each test There will be CW and HW daily This is NOT Algebra No Test Retakes First time with material

Homework questions are to be written on the board before class, with the problem written out Things about the Classroom: You will be expected to “play well” with others in groups You better respect the supplies given to you! Homework will be given when the GROUP is done

Why group work? 5% 10% 20% 30% 50% 75% 90%

Things NOT to do: Your phone is not a calculator Ipods should not be used!

Things NOT to do: Say “I will do this homework later”

Things NOT to do: Get help on homework by copying down what someone else did

Things NOT to do: Not come prepared to class

Things NOT to do: Say “I don’t want to sit here”

What I like to see: Positive Attitude Helping others by explaining! Not having to personally invite you to work Take pride in your education

Syllabus Please take home and read it with your parents Due Tuesday

Put note cards and student info sheet in a pile

New Seats!

Who is the resource manager? Please get a copy of the chapter 1 packet on the back counter for every person in your group

Welcome to Geometry! Geo means Earth (geography is mapping the Earth, for example) and metry means measurement. Geometry applies the arithmetic, algebra and reasoning skills you have learned to the objects you see all around you. During this course, you will ask and answer questions such as “How can I describe this shape?”, “How can I measure this shape?”, “Is this shape symmetrical?”, and “How can I convince others that what I think about this shape is true?”

This chapter begins with some activities that will introduce you to the big ideas of the course. Then you will apply motions to triangles and learn how to specify a particular motion. Finally, you will explore attributes of shapes that can be used to categorize and name them and find the probabilities of selecting shapes with certain properties from a “shape bucket.”

In this chapter, you will: become familiar with basic geometric shapes and learn how to describe each one using its attributes, such as line or rotation symmetry. investigate three basic rigid transformations: reflection (flip), rotation (turn), and translation (slide).

1.1 – How Can You Use Algebra?______________ Using Algebra to learn Geometry Geometry requires a certain amount of Algebra knowledge. Today you will be reviewing things you know about algebra. Some ideas are combined with geometry. Work with your team to complete the following tasks.

1.1 – SOLVING VARIABLES When solving an equation, start with distribution. Then combine like terms on each side of the equal sign. Afterwards, get the variable on one side of the equal sign, undo any addition, subtraction. Then undo any multiplication or division.

a. 3x – 2 = 9x – 14 –3x –2 = 6x – = 6x __ = x

b. 7x + 7 – 3x – 9 = 50 4x – 2 = x = 52 __ 4 4 x = 13

c. 5(x – 3) + 9x = 3x x5x – x = 3x x – 15 = 3x + 29 –3x 11x – 15 = x = 44 __ 11 x = 4

1.2 – SEGMENT ADDITION Sometimes it is helpful to write an equation to solve for a missing variable. The segments below either add to a value. Think about the relationship between what you know and what you are solving for. Are they equal, or do they add to something? Write an equation for each situation, and then solve for the missing variable.

x x + 45 = 56 –45 –45 x = 11

x + 2x = 18 3x = 18 x = 6

2x x – 1 = 27 5x + 2 = 27 –2 –2 5x = 25 __ 5 5 x = 5

7x – 8 + 3x + 5 = 8x x – 3 = 8x + 9 –8x 2x – 3 = x = 12 __ 2 2 x = 6

1.3 – MIDPOINT The segments below are split in half by the midpoint. Think about the relationship between what you know and what you are solving for. Are they equal, or do they add to something? Write an equation for each situation, and then solve for the missing variable. In each picture, M is the midpoint

4x – 9 = 2x + 5 –2x 2x – 9 = x = 14 __ 2 2 x = 7

10x + 3 = 14x – 13 –10x 3 = 4x – = 4x __ = x

7x – 6 = 5x –5x 2x – 6 = x = 6 __ 2 2 x = 3

1.4 – USING FORMULAS Substitute the given values to the formula and simplify.

12

4

1.5 – GRAPHING POINTS To graph a point, remember that the ordered pair is written (x, y). The first number tells you to go left or right. The second number determines if you go up or down. Plot the following points. Then name the coordinates of the points in the second graph.

A(2, 4) B(–3, 6) C(0, –3) D(–4, –5) A B C D

C________ D________ E________ F________ (3, 1) (–1, –2) (0, 2) (–3, 0)

1.6 – SLOPE Slope measures the steepness of a line. It is measured by rise/run. Find the slope fraction of the given lines. rise run

–2 rise run +5 = –2 5

rise run = 3636 = 1212

rise run –4 +5 = –4 5

1.7 – GRAPHING A LINE It is important to graph a line at times throughout the course. To graph a line you must put it in slope-intercept form and graph: y = mx + b. The y-intercept is the "b" value that you begin with. The slope is the "m" value you count from.

a. y = 3x – 2 b = (0, –2) m = 3 y = mx + b

a. y = 3x – 2 b = (0, –2) m = 3 y = mx + b

b. y = –2x + 1 b = (0, 1) m = –2 y = mx + b –2 +1 –2 +1 –2 +1

b. y = –2x + 1 b = (0, 1) m = –2 y = mx + b

b = (0, –3) m = 2/

y = mx + b b = (0, –3) m = 2/3

–6x 2y = –6x + 4 __ __ __ y = –3x + 2

b = (0, 2) m = –3 y = mx + b –3 +1 –3 +1 y = –3x + 2

b = (0, 2) m = –3 y = mx + b y = –3x + 2

1.8 – SIMPLIFYING SQUARE ROOTS A square root is when you find what number, squared, equals that result. For example However, sometimes the number isn't a "perfect" square. This is when you use a factor tree to simplify the square root. To do this find what numbers multiply to get the answer. Then circle the pairs. All "pairs" get out of the square root and all the "loners" must stay inside. Try to simplify these square roots below.

1.9 – SUMMARY What parts of this section were difficult for you to remember? What parts were easy? Write a few sentences on how you are going to get help on the parts that were more challenging below.

Homework PLEASE MAKE SURE YOUR AREA IS CLEANED UP!