Geometry Final Project The Book Of Amun-Ra: 10 Topics You Should Master For Your Future

1. Choose a partner. This partner will make or break your grade over the next four weeks so choose wisely. You will do all questions with this person and this person will also be apart of your cross-examination grade. 2. Now with this person decide what grade you are going to try for. If you are going to try for a 79%, then you must do questions 1-4 on all ten chapters. If you are trying for an 89%, then you must do questions 1-5 on all ten chapters. If you are trying for a 100%, you must do questions 1-6 on all ten chapters. Once you have decided this, please turn in you & your partner’s name, grade, id number, and what grade you are committing to. Pairs must be chosen by May 13, 2015 at lunchtime. Cross Examination dates will be randomly selected on May 15, 2015 in class. 3. Though you are working in pairs, each pair will turn in two books, one for each person in their own writing, typed up solutions will not be accepted. Each book will have the title as listed below, with a “written by: your own name” and then “with help from: your partner’s name” on the front cover. 4. Each chapter should have its own chapter title page, followed by the questions you have to answer in order. You must rewrite the question and solve it showing each and every step, including stating what equation, in its general form, you will be using. You do not have to put one question per page, but you should not have any question start on one page and then go to another, also no backsides of pages are allowed. Graphs should be done on graph paper; always scaled by ones. Solutions should be circled unless it is a graph. Do not just copy your partners work as it will backfire on the cross-examination. 5. As you complete a chapter you may check with me if your answers are correct. Getting chapters approved before your cross examination date will earn you extra credit on the class work part of the grade and may earn you bubble points to be used on the cross examination for small mistakes. 6. Once you have completed your entire book, your partner and you should practice quizzing each other on the material. 7. As we work on the project in class, if you are not working on the project, then you will receive a zero on the entire grade and will be given a paperback book to review for the final instead. There will be no warning; this paper is your warnings so do not waste my time, as this is a great opportunity to help you pass this class. 8. From June 1, 2015 thru June 8, 2015 there will be cross-examinations in class. If you are absent on your cross examination you will receive a zero for the assignment. Completing the book perfectly will earn you your 79%, 89%, or 100% at first. Then you and your partner will go through a 15 - 20 minute cross-examination on the assigned date. The questions asked would be like those you had to do in the book but not the exact ones. For every wrong answer you get your grade will be reduced by 2-10% and your partner’s grade 1-5%, depending on the severity of the mistake. If you miss a complete question, thus showing you have no idea how to do a topic asked, you would automatically lose 25% of your grade (12.5% will be deducted from your partner, too). You must complete a minimum of 5 questions each during the cross examination or those you do not get to will count as a complete lack of understanding and 25% per question not reached will be deducted from your grade (12.5% from your partner, too.). The more questions you answer correctly the less each mistake will cost you. 9. This project will be worth 500 class participation points, 500 homework points, and three test grades (1500 points). Also if your earn the grade you committed to after the cross examination, then your lowest test grade will be replaced by your project grade and you can choose not to take the final exam and receive your project grade on the final exam instead. Do not forget that on top of this project there will also be some in class assignments and smaller homework assignments on new material. You should also expect a few small quizzes throughout the month that are not attached to this grade but will go into the grade book. 10. Any cheating between partners or groups will earn all those involved a 0% on this project. 11. This is a pairs project because of the learning that occurs when two people must trust one another, in rare cases the teacher has the right to separate pairs or allow a person to work individually. However, it must be noted that mistakes by individuals will be grade much more harshly than mistakes by a person in a pair.

Chapter 1: Solving for x 1. Solve for x: 4𝑥 − 7 = 29 2. Solve for x: 2𝑥 − 11 = 5𝑥 + 7 3. Solve for x: 3 4𝑥 − 15 = 5 2𝑥 − 7 4. Solve for 𝑉: 𝐾𝐸 = !

!𝑚𝑉!

5. Solve for x: !!𝑥 + !

!= !

! 6. Solve for x: 𝑦 = !!

!!!!

Chapter 2: Linear Functions 1. Graph: 𝑦 = − !

!𝑥 + 2 2. Graph: 3𝑥 − 6𝑦 = 12 3. Graph: 𝑦 − 2 = !

!𝑥 + 4

4. Find the point-slope form of a line which goes through the points 2,−5  𝑎𝑛𝑑   −1, 2 5. Find the standard form of a line which goes through the points −4,−2  𝑎𝑛𝑑   5, 2 6. Find the slope-intercept form of a line which goes through the point 4,−3 and is perpendicular to 𝑦 = !

!𝑥 + 3

Chapter 3: Solving Systems of Equations Solve each system of equations/inequalities:

1. 𝑥 = 3𝑦 − 25𝑥 − 2𝑦 = 42 2.

3𝑥 − 2𝑦 = 227𝑥 + 2𝑦 = 38 3.

3𝑥 + 4𝑦 = 185𝑥 + 2𝑦 = 16

4. 3𝑥 + 7𝑦 = −15𝑥 − 3𝑦 = 13 5.

𝑦 < 3𝑥 − 22𝑥 + 5𝑦 ≥ 10 6.

2𝑥 − 3𝑦 < 6𝑦 ≤ −𝑥! + 4

Chapter 4: Techniques for Manipulating Quadratics Factor each of the following completely: 1. 𝑥! − 2𝑥 − 8 2. 𝑥! − 36 3. 3𝑥! − 4𝑥 − 4 4. 4𝑥! − 12𝑥 − 40 5. 3𝑥! − 12 6. 6𝑥! + 13𝑥 + 5 Chapter 5: Solving for x and y intercepts Find the x and y-intercepts of: 1. 𝑦 = !

!𝑥 − 4 2. 6𝑥 − 4𝑦 = 24 3. 𝑦 = 𝑥! − 5𝑥 + 6

4. 𝑦 = 𝑥! + 5𝑥 + 3 5. 𝑦 = −2 𝑥 − 3 ! + 8 6. 𝑦 = 𝑥! + 4𝑥 + 6 (must complete square)

Chapter 6: Triangle Tools Solve for all unknowns: 1. 2. 3. 4.

5. 6.

Chapter 7: Transformations Given the triangle below:

Chapter 8: Angle Relationships Solve for x: 1. 2. 3.

A

1. Reflect the triangle across the y-axis. 2. Rotate the triangle 90° clockwise about the origin. 3. Translate the triangle 7 right and down 5. 4. Reflect the triangle across the line y = -2 5. Reflect the triangle across the line y = -x 6. Dilate the triangle by a factor of 4 from the origin.

4. 5. 6.

Chapter 9: Measurement of Shapes 1. Find the area of the shaded region: 2. Find the A and P: 3. Find the V and SA:

4. Find the A and P: 5. Find the area and perimeter: 3. Find the V and SA:

Chapter 10: Proofs 1. Plot the points A(1,1), B(2,4), C(3,1) and D(2,-2) and prove which quadrilateral it is. 2. Assuming AC bisects angles A and C, 3. Given that segment AE || BD 4. Prove that prove or disprove the triangles are congruent. prove or disprove the triangles and are are similar. congruent angles.

5. Given the two statements: p: If a number is greater than two and prime then it is odd. q: If a number is odd, then one less than its square is even. Determine if each are true and justify why or why not. 6. Find a counterexample of why p would be false if the first part of the if was not mentioned.

2x

84˚2x

110˚

x

2x

30˚

65˚

83˚ 134˚

x

10

16

24

16

16

12

8

10

68 9

87'

93'

38˚

22

8

1012

5'

12'

A

B

CD

E

1 23 4

5 67 8