Mr. Taylor’s Geometry Assignments
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BOOK: Can access book from ANYWHERE if you go to here (note: address changed!) and type in a classpass. MrTGeometry. Some other cool resources on this site as well.
|Check out protractor practice
TASKS: You are responsible for knowing acute, obtuse, and right. You should be able to estimate angles of measures 10, 30, 45, 60, 90, 120, 135, 150, and 180. Material also available in book on pages 129-136.
A NOTE ABOUT PROTRACTOR. The protractor is fairly easy to use with two potential problems. The first is that you do not line it up on the bottom but on the line (putting the vertex of the angle inside the tiny circle in the middle). The second is there are two sets of numbers. The outside numbers are to be used if you are measuring from the right and the inside numbers if you are measuring from the left. Just notice where zero is when you line things up and follow that track around to the other side of the angle.
Monday Oct 29
Showing why the three internal angle measures of a triangle sum to 180 degrees. Both inductive and deductive proofs.
Worksheet from book. p. 203 2 – 14 (can skip 10,11,12 – will do in class on Tuesday – Bring your compass)
For side with triangles, use real protractor or hold up to screen on this page.
Tuesday Oct 30
Review making congruent angles.
Finish worksheet #10, 11, 12. Ask questions about 8 & 9. Make sure you have done 2-7, 8-12, and 14.
See examples of 10, 11, 12 here. Also look at example at bottom of p. 202 for “Creating the Missing Angle”
Wednesday Oct 31
Internet Practice (10 problems): Find the missing Angle
For each of the problems, draw the picture, create an equation, show your work for finding x, then write the measure of each angle on the interior of the corresponding vertices of the triangle.
Vocabulary Assignment (due Friday) – need a copy, ask.
Thursday Nov. 1
This Link is related to the warm-up. It may or may not work on certain computers. It is not required for class.
After trying warm-up, try this part of the practice quiz . (SECOND LINK – Easy Version)
Another version (harder)
Continue working on problems from yesterday(Find the missing Angle). Remember to 1) Draw the picture with the expressions on the outside 2) Write the equation 3) Show your work solving the equation 4) Write the missing angles back inside the picture
When done try practice quiz again. IF THIS DOES NOT WORK ON YOUR COMPUTER IN CLASS, share with another student or ask for a paper copy.
Vocabulary Assignment (due Friday) – need a copy, ask.
Friday Nov 2
Go over HW. Collect Vocabulary Assignment.
Quiz. Take this Vocabulary Quiz first and this Chaser Quiz second . Show me score for both. As always with these types of quizzes you may re-take after school WITHIN the next two weeks. If you do not pass this quiz and do not take advantage of taking it after school, you are telling me a D or an F is acceptable.
IF YOU TALK DURING OR AFTER EITHER ONE OF THESE QUIZZES, YOU’RE GETTING A ZERO ON THE VOCABULARY QUIZ and will be required to come after school to re-take. You have work to do below, start on it silently!
Start on HW: p. 208 1-10, 13,14,18-20. Draw the picture for each problem. For 18-20, show your slope calculations. Book is here (note: address changed!) , Classpass is MrTGeometry
Monday Nov. 5
For warm-up (after copying note and drawing picture), click here and answer questions.
Go over homework
We will do an experiment to complete these two conjectures:
In a triangle, if one side is longer than another side, then the angle opposite the longer side is __________
Triangle Exterior Angle Conjecture:
The measure of an exterior angle of a triangle ___________.
Tuesday Nov. 6
Warm-up Review Questions:
- Which of the following sets of numbers can be lengths for sides of a triangle:
a) 1,1,1 b) 1,2,2 c) 3,4,2 d) 1,4,2
- A triangle ABC has side AB=10 and BC=15.
Which is bigger, angle A or angle C? Which is bigger, angle C or angle B?
- The exterior angle for a triangle is 120. One of the remote interior angles is 30. How big is the other?
- Go back and read the rest of the directions on the overhead.
Follow these directions to learn how to use sketchup.
Wed. Nov. 7
When done, continue to work on Sketch-up tutorials (OR see tomorrow’s work).
Thurs, Nov 8
See yesterday’s directions if you don’t know how to start Sketchup.
When done, you should have files Sk1 and Sk2 saved in your student folder, 2 sketches in notebook.
Finish Sk1 & 2 (Grade), 2 sketches in notebook
BELOW IS EXTRA CREDIT AFTER I HAVE SEEN YOUR SK1 and SK2
Create another file named ExtraCredit. Make a house, computer, chair, desk, or other object in Sketchup. The better it is, the more credit you will get.
You may do the extra credit OVER THE BREAK (not after) and send me the files (email: firstname.lastname@example.org) You will need to download SKETCHUP to do this.
Fri Nov. 9
Investigation 3 p. 216-217
Preview part of next Friday’s Quiz here
HW: p. 218 1-16,19-20. Draw the picture for each problem and answer
Can access book from ANYWHERE if you go to here (note: address changed!) and type in a classpass. MrTGeom3. Some other cool resources on this site as well.
Alternate assignment to SK1 is here.
Monday Nov. 12
No School – Veteran’s Day. Say Thank You to someone in the Armed Services.
Tuesday Nov. 13
Warm-up Here. After completing, write down a general rule that helps in answering the two types of questions.
Go over homework and review marking and stating congruence. 10 point Worksheet
FIX BENCHMARK TEST SCORE SHEETS – need to re-bubble, they gave us wrong ones.
Wed. Nov. 14
Shortcuts to congruence, SSS, SAS, SSA?- Investigations 1, 2, and 3. p. 222-223
Finish worksheet from class. BE SURE TO FOLLOW DIRECTIONS!
Thur Nov. 15
Other two shortcuts, ASA, AAS (SAA), AAA? Read pages 227-228 for more info. (The previous shortcuts SSS and SAS are on 221-223)
Internet Practice for Determining if Two Triangles are congruent.
DIRECTIONS: Copy triangles, mark congruent parts, and write down the rule. ALSO write down the correspondence, For instance Triangle ABC is congruent to Triangle DEF (do this in symbols like it was shown on the board).
If you did not get at least 10 done in class Today, you will need to do some more tonight. Submit whatever you do BUT ALSO MAKE SURE YOU HAVE THE WRITTEN WORK. You can work in pairs but make sure both of you have the written work.
Here is another place where you can practice (may not work on all computers – requires Java)
Friday. Nov. 16th
Continue yesterday’s assignment for warm-up if you have not finished. Then start on HW.
CPCTC and writing paragraph proofs.
HW/CW: p. 233 1-8,14,15, 18. Be sure to READ and follow directions. For 1-8, each “proof” should have:
- the picture
- marked as given
- several sentences explaining why you know the answer.
See the examples on page 232-233 if you are not sure AND READ THE DIRECTIONS IN THE BOOK. See example of what an answer should look like here.
You may need to READ PAGE 232 and CHECK THE HINTS IN THE BACK OF THE BOOK (p. 755). Many of these require you to draw an auxiliary line (line #5 we did in class) or seperate the triangles like the example on p. 232.
MORE ON THE PROCESS FOR HOMEWORK:
- Start by drawing picture and marking parts – EVERYONE should have this for each problem – no excuses!
- Think about what two triangles you want to try to prove congruence – re-draw triangles separately if necessary (sometimes triangles overlap)
- See if there are any common sides or angles that also should be marked and do so
- Read hints in the back of the book
- Prove the triangles congruent by a rule and then state why the “missing parts” are congruent by CPCTC
BOOK: Can access book from ANYWHERE if you go to here (note: address changed!) and type in a classpass. MrTGeometry. Some other cool resources on this site as well.
Monday. Nov. 19
HW: Exercises 1-5 p. 239 (COPY IT ALL AS INSTRUCTED – This means the picture, the given, the Show, all the boxes, and filling in all the blanks – EVERYTHING except the instructions)
Book is here (note: address changed! , Classpass is MrTGeom3
Tues. Nov. 20
Go over proofs from Yesterday.
HW: p252 7-19, 25,26,35. Be sure to write the question and the picture for each one. For #35, Copy Given, Show, Boxes, picture, and fill in the blanks (just like last night). This is review and is due Monday – we will be having a test over everything the week we return. Book is here (note: address changed! , Classpass is MrTGeom3
|Extra Credit over break. On a seperate sheet of paper, create examples of PAIRS of triangles that follow the four congruence rules (SSS,SAS,ASA,AAS). The triangles (angles and sides) should LOOK congruent – don’t get sloppy! Each example should say “Triangle ABC is congruent to Triangle XYZ by SSS” (whatever it happens to be, symbols better than writing the words).You should also do an example as to why AAA and SSA does not always work (AAA is easy, For SSA make the corresponding angle marked in both an acute angle. The in-between side should be longer than the far side. To make the two triangles different make the angle in between the two sides acute in one and obtuse in the other. See #2 from worksheet last Wednesday as an example!).|
Wed. Nov 21
Warm-up: Do this first, Will replace quiz from Monday if better. Those who already got a perfect score on Monday can get extra credit. When done, be sure to copy down the rest of the warm-up: See below:
Vertex Angle Bisector Conjecture: “In an isosceles triangle, the bisector of the vertex angle is also a median and an altitude“ (Draw a picture of this)
Equilateral/Equiangular Triangle conjecture: “Every equilateral triangle is equiangular, and, conversely, every equiangular triangle is equilateral“ – How many degrees for each interior angle in an equilateral triangle?
GGN to review for next week’s test.
Mon. Nov. 26
Review for Test. Go over HW from last week. Collect Extra Credit.
HW/CW: p. 245 1-6, 12. Make sure you follow directions and copy the pictures.
Tues. Nov 27
Practice Test on Chapter 4
If you finish early, work on sketch-up. See instructions on November 12.
Homework: Do SOMETHING to study for test. You decide what works best for YOU! Suggestions: Read through warm-ups, Read through Chapter 4, Look at old quizzes on the internet, Have an online chat with someone about Triangle Properties, Make flash cards, SOMETHING!! 10-20 minutes of extra study will result in 3 or 4 correct questions (a letter grade!) that you might have otherwise missed. THE TEST IS ONE TIME ONLY – NO RE-TAKES. Come prepared.
Wed. Nov. 28
Test on Chapter 4
If you finish early, work on sketch-up. See instructions on November 8 and 9.
Also might want to play GGN home game!
Thur Nov 30
Worksheet on the number of degrees in a triangle, quadrilateral, pentagon, and hexagon.
For warm-up, use real protractor or hold up paper to screen on this page.
The back of the worksheet is p. 259 1-15 (Copy pictures for each IF YOU DO NOT HAVE THE WORKSHEET – that is, you are absent) – FOR #12, you must know that a Quadrilateral’s interior angles sum to 360. If you need more explanation, read the pages leading up to these exercises here (note: address changed! , Classpass is MrTGeom3
NOTE: In #2 they are NOT asking you to do chart 1 over again. They are asking for the measure of a SINGLE interior angle in an EQUIANGULAR polygon of n sides. So for a five sided polygon, the total degrees is (5-2)180 or 540 and a SINGLE angle would be 540/5 or 108 degrees.
Make sure you get the correct answer to #1 and #2 from our guest teacher before you leave.
P.S. Teacher MAY request that YOU turn in YOUR PAPER by the end of class if you are not working.
Friday Nov. 31
For both the practice quiz and the work in the book, it MIGHT be helpful to know that the EXTERIOR angles of any polygon sum to 360. This means a single EXTERIOR angle for a regular polygon is 360 divided by the number of sides (angles). For instance a regular decagon has exterior angles of 36 degrees each (360/10). IN ADDITION, you can use that information to figure out the INSIDE ANGLES. For a decagon, the inside angle is 144 (180-36) and the TOTAL degrees inside is 10 times 144 or 1440.
Practice Quiz over interior and exterior angles of a polygon. For a class grade. Write down the questions and the answers.
HW/CW: p. 263 1-11 (Copy all pictures and proof). – When you are done you will have 21 problems done – 10 from the practice quiz above and 11 from the book.
For number 4 in the book, remember the sum of the interior angles is (n-2)180 so 7380=(n-2)180. From this you can figure out the number of sides.
Monday Dec. 3
Properties of Kites and Trapezoids worksheet. See link
Practice Quiz AGAIN. Show me all when done. If you did all on Friday, do it again before you begin working on worksheet.
Tues Dec. 4
After doing first part of warm-up, you may want to look at this link to recreate a parallelogram, rhombus, square, and rectangle to make conjectures about the properties of the diagonals.
Worksheet, guessing the properties of quadrilaterals.
EXPECTATION: You should already know what a parallelogram, rectangle, square, rhombus, isosceles trapezoid, and kite is. If you do not, look them up!!!
OUR GOAL: Know what makes each quadrilateral unique and use those properties to find missing measurements of angles, diagonals, and edges.
Wed Dec. 5
Practice Quiz. MAY look like this. For EACH one, draw a picture AS YOU DO IT. You will not get full credit if you do the pictures AFTER you get the answers. By end of class tomorrow, should have twenty pictures AND KNOW THAT YOU HAVE THE CORRECT ANSWERS. Be prepared to ask about any of them you are having trouble with.
If you have twenty done when you arrive to class tomorrow, you can do a second time for extra credit.
Thurs Dec. 6
Collect last two homework sheets.
Practice Quiz. MAY look like this. Continue with directions from yesterday.
If you have twenty done when you arrive to class, you can do a second time for extra credit.
HOMEWORK: Do more problems if necessary. The 20 we did in class was the minimum!! YOU may need to do more in order to remember these.
FRIDAY DEC 7 – Winter Rally
Quiz over quadrilaterals. If done, begin handout (essentially p. 304 1-16,27 – due Wed).
Monday Dec. 10
Go over some of proofs on CW/HW: p. 301 1-7 – copy entire proof for each one.
Questions about p. 304 (also due Wed)
For 6 & 7, you must use the property that “opposite sides of a parallelogram are congruent.” The problem assumes you have proven this property already.
If you need more explanation, read the pages leading up to these exercises here (note: address changed! , Classpass is MrTGeom3
Tues Dec. 11
HW Questions. Review. GGN?
Wed Dec. 12
Extra Credit. Look through chapter 5 in the book and make 5 multiple choice questions that INCLUDE pictures related to the chapter. DUE TOMORROW!!! Do on a seperate sheet of paper. For each one, write down which page in the book inspired the problem. Also include a key at the end showing the correct answers.
Practice Test. Study for test. This may be the best thing to study.
Thur Dec. 13
Test over Chapter 5.
If done with test, try this SILENTLY. No help.
Logic Puzzles Worksheet – Save for tomorrow.
Fri Dec. 14
Dec. 14 Happy Birthday to me!! (I’m the biggest prime less than 50!).
More Logic Puzzles – Using the back of the worksheet from yesterday (or on a separate sheet of paper), look at several of the puzzles on the link below. You should do this in groups of 2 to 4. For each puzzle you look at, write down what time you start, what time you figured it out (or gave up and looked at the answer), a brief description of the problem, and a brief description of an answer someone came up with. NO ONE IS AUTOMATICALLY GOOD AT MATH OR PUZZLES – we get better because we stick with them, try different things, and practice. The ability to sit and think about a problem that does not initially make sense is the sign of a mature, independent thinker.
TURN IN THE WORK ABOVE TO THE GUEST TEACHER.
On a seperate sheet of paper, create a test with 10 ORIGINAL problems where two of each of the problems came from each chapter in the book (2 from chapter 1, 2 from chapter 2,…2 from chapter 5). For each problem, write down the page number that inspired the problem. They do NOT have to be multiple choice. At the end of the test, create a key with the correct answers.
IMPROVING YOUR GRADE: Make sure you read and do this before the end of the break!
|“What can I do to improve my grade?”* First of all, it’s a little late to be asking this question. But it’s not the last week of the semester which is entirely too late.
But for now here are a few things you can do:
* Are you certain your grade is “safe”. What if your grade drops between 2 to 5 points from now and the end of the semester. Are you still okay? If not, go back and read the information above – don’t wait until your grade needs fixing. Do some preventative maintenance now!
LATE-BREAKING EXTRA CREDIT: This is something brand new you might like. The Khan Academy is a tutorial service that allows you to watch videos and then practice what you watch. This might be especially good for some of you who need to review your algebra skills. Register here then follow these instructions to add me as a coach. The more you try, the more extra credit it will be worth. If you have questions, e-mail me at email@example.com.
Wed Jan 2. See this movie about the area of rectangles/parallelograms/triangles. There is one small mistake in this movie. Can you find it?
Area review. Worksheet.
Thur Jan. 3.
The next quiz will look something like this. For today, DRAW a picture of each one. Label it with the given information, then write the answers with labels. Check them as you go.
CHALLENGE EXTRA CREDIT: On a separate sheet of paper, show how you can combine the parts of the triangles and rectangle that form to make a trapezoid to get the formula for a trapezoids area (similar to example I did on the board with the kite)
Fri Jan. 4
Finish yesterday’s assignment. Once you have all of the pictures done you may do it a second time IN CLASS for up to 10 extra credit points. For the second attempt, pictures are not required (but often useful!).
HW: (Assuming you don’t get it done in class) read pages. 449-450 in book. Remind yourself of Circumference and Area formulas for a circle. (You do not have to do the investigation on p. 449 but please read it). Book is here (note: address changed!, Classpass is MrTGeom3
Make sure you can answer questions 1-8 on p. 451. These will show up on the test. Answers are (in RANDOM ORDER – pi represents the pi symbol) – 9pi in2 , 0.8 m2, 1.7 in, 36pi in, 49pi cm2, 3 cm, 0.5 m, 7847 m2. (You may also want to look at tomorrow’s warm-up).
Come ready for Monday’s quiz.
Mon. Jan. 7
Quiz. You may check twice. Remember both answers must be right to get a check.
Tue Jan 8
Warm-up – Do as many as you can on this page.
Review of Circle and introduction of Areas of Regular Polygons. Worksheet.
Cheat Sheet assigned – due on day of practice exam (Tuesday)- this is an assignment but can also be used during the exam. Failure to do it shows that either you are a genius who already have 101% or that you totally don’t care what you get for a grade.
The Quiz from yesterday is the ONLY thing you may re-take after school this week. You’ve had many weeks to re-take the other ones. It’s now too late. If you want to re-take yesterday’s quiz, you must do so today or Thursday AFTER SCHOOL.
Wed Jan 9
NOTES ABOUT THE VIDEOS AND QUIZZES:
It is possible some of the check boxes or input boxes may appear in the wrong place on the screen. Do the best you can to figure out what matches to what. The quizzes between the videos are simply to help test your understanding. You should take a guess, check your answer. If it is incorrect you might try again – but don’t spend forever trying to get the right answer – it will be revealed on the next video.
If you don’t think you need to watch the explanation after the quiz you MIGHT choose to skip it but there is sometimes important information here (and jokes!).
For these, you can get extra credit IF on a separate sheet of paper:
1) Take Notes – this is somewhat open-ended but you should have at least one fact per “Setup” video. You MIGHT have notes for some of the explanations.
2) Provide answers to quizzes. Can include these within the notes.
3) Take this quiz provided at the end (bottom of the table of contents).
Even if you choose not to do the extra credit, you need to watch the videos if at all possible – especially the last 4. We will be doing a project in class related to this.
Thur Jan 10
In-Class Project – Proving the doubling effect.
NOTEBOOKS DUE TOMORROW. You need to go through and number your warm-ups. Each one should already have a date on it. Your first one for this quarter is likely dated 10/22. Simply Write a 1 by YOUR FIRST ONE, a 2 by YOUR SECOND ONE, and so on. If you have 22 warm-ups it should be number 1,2,3…22. If you have 30 warm-ups, it should be numbered 1,2,3…30. Beside the very last one (THURSDAY) Write TOTAL: and the number of warm-ups. 34 or more warm-ups is 100%. They are worth 3 points each. Every one over 34 is worth 1 point of extra credit. Have your notebook numbered and ready to go at the start of class tomorrow. If it is not ready at the start of class it is late (10 points off for late and 5 points off for following directions). If it is not ready by the start of class Monday, 50% off. ALSO – MAKE SURE YOUR NAME IS ON the first page and the last page!!
Friday Jan 11
Notebooks due. First warm-up was on 10/22. Make sure they are numbered and with your name on the cover and the last page.
20 minutes to finish yesterday’s classwork.
Classwork if you are done with work from yesterday. Possible homework if you are not. A different way of looking at Surface Area and Volume – try THIS. Basic idea: COUNT the cubes for volume. Count the squares ON THE SURFACE for surface area. You have to “count” the ones you cannot see as well.
If you do not get at least 17/20, try again at home. Submit every try. I will count the highest score.
Super Extra Credit if you are done with everything else
Monday Jan. 14
Review of Angles! Complete this link and SUBMIT when done. If you do not get all 20, attempt again and re-submit. I will take the higher of the two scores.
Tuesday January 15
Practice Exam – this will give you a sample of the types of questions but not as many as usual. Bring your completed cheat sheet for points.
Wed. Jan 16(3)
GGN to review for tomorrows’s exam.
Bring a book or something to do silently to do after the test (although most of you will need the entire time).
Remember to bring your cheat sheet.
Homework: Go through notes, warm-ups, book, internet, looking for at least 3 more things to add to your cheat sheet.
Thur. Jan 17(2)
Semester Final – Cheat sheet may be used (for those of you who forgot on Tuesday I will give half credit for those who bring them COMPLETED)
If You finish early, did you do the internet work from Friday and Monday? Did you try the extra credit from Friday? Find something SILENT to do. Everyone deserves a chance to finish their test with quiet.
Fri. Jan 18(1) – Last day of the semester!
Did you do the internet links from Friday and Monday? Did you do the extra credit link from Friday?
Monday January 21 is MLK day – No School
Tuesday is a teacher workday – No School
Wednesday – You may or may not have a new teacher on Wednesday. I have told the district I can work Wed and Thur if your new teacher has not completed their paperwork. (A new permanent teacher is coming – we will have picked them last week)