Jump to this week
BOOK: 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.
Tues. Jan 17 - Welcome to a new Semester!
As a reminder, you should already know this Vocabulary - We may eventually have a quiz on these words. If you don't know them, ASK!! Knowing them is critical to you success in this class. IF YOU DID NOT GET 20/20 on this last quarter, you can come in at lunch or after school (IN THE NEXT TWO WEEKS) and get extra credit IF you get a 20/20!
We did this two weeks ago but it is also critically important that you know the relationships of angles. Do this link in class and submit it. Do again at home if you don't get 20/20. You should know that linear pairs sum to 180, vertical angles are congruent, triangles interior angles sum to 180, and alternate interior and corresponding angles for parallel lines are congruent. These are all the rules you need to know to be successful on this quiz. [Oh, you also need to know that a supplementary angle is one that when added to the original angle sums to 180 AND that a reflex angle is the "long way" around - if an angle is 100, the reflex angle is 260]
Wed Jan. 18
Reminder of extra credit. Re-take quiz on Vocabulary based on these words at lunch or after school (these people are NOT eligible-already got a perfect score last quarter).
Rubik's Cube Guide can be found at: http://www.youcandothecube.com/secret-unlocked/solution-stage-one.aspx
Before leaving class, ask if you are not sure of one of the following vocabulary words:
face, edge, vertex (vertices), prism, base, lateral face, lateral edge, cube
HW: Worksheet discussing prism vocabulary, length, area, and volume of a right prism with a triangular base, a "super-cube" that is 4x4, and the regular cube.Note that questions 11-20 refer to a cube that is 4x4 - NOT the regular cube.
Thurs. Jan 19
THIS IS AN EASY ASSIGNMENT!! Please make sure you do it. Start the quarter with an A not an F!
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. Don't forget your worksheet on cubes for tomorrow.
QUIZ Tuesday like this link.
P.S. I notice A LOT of people in 7th period have not done Tuesday's work. This score is entered into Powerschool if you are not sure.
Fri. Jan 20
After school rubics cube for extra credit?
HW: Rotations worksheet.
Mon. Jan. 23
More on Rotations . Use graph paper if necessary - if you can figure out the numeric pattern, GREAT!!
Tues. Jan. 24
QUIZ! Do this link in , show it to me, and submit it.
Did you get your extra credit for this vocabulary Quiz (at lunch or after school, for those who did not get 20/20 last quarter)
Review Circle vocabulary. Read p. 310 in book.
Try this practice Quiz? Do you know your circle vocabulary?
If done early, may also want to try these:
Exact Circumference and Area of a Circle
Approximate Circumference and Area of a Circle
Also may want to finish work from yesterday.
Wed Jan 25th
Warm-up - Try this practice Quiz? Do you know your circle vocabulary?
Today and tomorrow we will be using Sketchpad software to review some circle and angle vocabulary as well as explore the relationships betweens chords, radii (plural of radius), and tangents. There are many of these relationships - some we will figure out on our own, others we will simply accept as true and apply them to figure out missing angles and arcs.
Open sketchpad software by clicking on Roaming drive, then navigating to the courses (x:) drive. Find the sketchpad folder and start Sketchpad. Open each of the provided files in this same folder (C53,C54,C55_56, and C57_58). Follow the directions in each file. If you do this, you will have completed the items in bold below.
LONG HW (40 points): due Friday - do not try to do all at one sitting.
1) Conjectures Part I (today): Write down all conjectures in book (p. 310 - 328) filling in the blanks C-53, C-54, C-55, C-56, C-57, C-58[INCLUDE EXAMPLE PICTURES]
2) Problems Part I (today): p. 320 1-12. Draw pictures and fill in missing numbers. For instance, for #1, you may replace the x with the actual value. Your pictures do not have to be perfect but they should be NEAT.
3) Conjectures Part II (tomorrow) - continuing in book starting on p. 324 C-59, C-60, C-61, C-62, C-63, C-64. Copy each conjecture. Fill in answer. Include an example picture.
4) Problems Part II (Tomorrow) p. 327 1-17. Draw pictures and fill in missing numbers. For instance, for #1, you may replace the a with the actual value.
Thursday Jan 26th
Finish yesterday's work. I may have more sketchpad examples to help you along.
Friday Jan. 27th
Warm-up: here. For warm-up, draw the picture for the first 3 . Be sure to submit when you are told.
YOU EVENTUALLY NEED TO GET ALL TEN but for the warm-up you can POSSIBLY get extra credit by submitting however many you got done when I tell you to.
HOMEWORK: If you did not get 10/10 on the warm-up, do again. If you need a paper copy, ask me for one.
Review Homework and Conjectures. Extra credit for working on board. Loss of credit for doing other stuff while we are going over the questions.
Monday Jan 30
Similar to Friday's work but more rules: here
WANT EXTRA CREDIT? Make sure you have 10/10 on both Friday's and Today's. THEN ALSO DO TOMORROW'S work (20/20). Sign up to be a "Teacher Aide For the Day" tomorrow and you can get extra credit. You must have all your work done.
Tuesday Jan 31
For today, no pictures necessary just submit when done: here
Submit whatever you get. Do more at home if you don't get 20/20.
Bring something to read or something else to work on for end of class tomorrow. Computers stay off. Bring a calculator if you think you will need one.
Wednesday Feb 1
Computers stay off.
Benchmark Test - MAY count as quiz grade. Much of what we have been doing with arcs and angles is on it.
Student/Faculty Basketball Game!
Are you caught up? Check what you've done so far HERE: Submit old work multiple times!
Thurs Feb 2
IF YOU DO NOT HAVE THE FORMULA FOR AREA AND CIRCUMFERENCE MEMORIZED, YOU NEED TO GO HOME AND WRITE IT DOWN 20 to 30 times. This should be automatic!!
Arc Lengths and Sectors: It's all about figuring out the circumference or the area and then the fraction (GASP!) of the circle that the arc or sector represents. See short example here and the warm-up where it is explained here
THE THREE QUESTIONS TO ASK YOURSELF •Are you trying to find Circumference (arc length) or Area (sector area)? •What fraction of the circle is the arc or sector (something/360)? •Do you need to reduce the fraction because answer needs to include pi or can you put everything in the calculator along with 3.14? |
Number 5 for the above worksheet is a little different: Here's an example of #5
Example of warm-up and second example in PDF here. Same examples, slightly different here.
Friday Feb. 3
Try this first. Submit for a grade. The concept is the same as yesterday's work : Reducing fractions (when necessary) and multiplying the fractional part times the whole to find the new actual part.
If you did not get 10/10 yesterday. Try that again in class or at home (it WILL be on the next quiz. If you can find Circumference and Area, you should be able to find PART of a circumference or area as a fraction or as a decimal number).
Monday Feb 6
Pythagorean Review. This link uses decimals (approximate). Do 20 of these and submit. If you don't finish in class you can do additional ones at home. FOR THIS ONE, I will add together the two scores - just make sure you've done twenty and understand each of the 6 types (1-6). Draw a picture if necessary!!
Later we will learn how to do this with the EXACT number (usually involves a square root).
Tuesday Feb 7
THOSE TAKING THE CAHSEE!! - If you don't do this, I won't count it against you but it will be on the next test. If you do it (and get a good score), I will count it towards your grade. I suggest TRYING it. It's the same as yesterday except the problems are disguised inside of a circle.
Try here. TODAY, you don't have to write down anything unless you have a question. HOWEVER, you may want to draw the picture and fill in the numbers until you get the hang of it.
Confused? See the video from today's class lesson here.
HW: Do classwork again if needed.
GETTING CREDIT: If you do at least 8 problems - I will give you credit for 8 of them. To get credit for 9 or 10 (or 11?!?) problems, you must get 9 or 10 as a single score. That is, you must do the worksheet all the way through in one sitting.
Example: Scores: 2, 2, 2, 2, 2 , gets an 8 (for this if you only do the same 2 each time, you'll know these two really well but not much else)
Scores: 3, 2, 3, 2 : gets an 8
Scores: 2, 5, 9: gets a 9
Scores: 7, 10: gets a 10
(now since I double these scores, the person above is really getting a 16, 18 or 20).
Wednesday Feb 8
THOSE TAKING CAHSEE - Same situation as yesterday - Try these if you can. You'll see them again next week but it's better if you figure them out sooner rather than later.
There are certain things you SHOULD already know related to circles. They are contained in the conjectures from the previous HW assignment and the following facts:
THE TEN COMMANDMENTS OF CIRCLES:
(* from #3) Part of the reason for this is that: The distance from the center to a chord is a segment that is a perpendicular bisector of the chord. |
Do last week's TUESDAY'S work(see link below) A SECOND TIME. I will be looking for two sets of scores from you. Last week's and this week's. Didn't do it last week? Do it TWICE this week!
All the rules related to arcs and angles :here
Did you get 10/10 on yesterday's? If not, you may want to try it again.
Classwork (to be completed in class!)
Review old chaser and new "Circle Chaser" is here.
Extra CREDIT: Try Tougher Chaser
Friday Feb. 10
Practice for Quiz - except for using "chaser" all of this is review from before break
Part 1: Chords, Radius, and distance. Need all 10. Tomorrow only two checks!
Part 2: Circle Arcs and Angles, you only need 10 right on this page (Which means 18 as 8 are given to you already). Tomorrow only one check!
Part 1: Chords, Radius, and distance. Need all 10 but you get a second check!
Part 2: Circle Arcs and Angles, you only need 10 right on this page (Which means 18 as 8 are given to you already)
READING ASSIGNMENT: When done (or for homework!!), review prime numbers and how to create prime factorization. This is an basic but important skills in working with square roots and fractions.
If done with reading, can try extra credit from yesterday.
Just for fun: See Eratostenes Sieve for how to find prime numbers.
Tue. Feb 14
Practice Test in class. When done, try links from this week and possibly the ones below:
Exact Circumference and Area of a Circle
Approximate Circumference and Area of a Circle
HW: If possible, review a few problems from each of the links from this week.
Extra Credit (due on Monday of return BUT this would be a great way to review for the test tomorrow!!!) - start on in class after finishing test:
On a seperate sheet of paper to be turned in, write down the "10 Commandments" from Feb 8.
For each one draw a picture or create a problem to illustrate the rule. If it is a problem, be sure to provide the answer. More elaborate, thoughtful, and neater work will always get more credit than half-hearted, un-creative, sloppy work.
Wed Feb. 15
Test - come ready. No retakes.
Thursday Feb. 17
Review Benchmark. Mini-CAHSEE
Friday Feb. 18
GGN with YOUR questions.
Make up work you are missing!!! Can't remember what you've done? Check what you've done so far HERE:
HAVE A GREAT WEEK OFF!!
Monday Feb 27
Did you do the short online reading assigned on Monday Feb. 13? If not and you are confused, you should go back and read it!
Prime Factorization: Writing Factor Trees, Factored form, Perfect Square Roots, and approximate square roots.
See worksheet. Use this page to help as well as to generate problems.
HOW DO YOU KNOW IF A BIG NUMBER IS PRIME? Trying all the primes in order, you will eventually get a quotient (a result) that is bigger than the prime you are trying. At that point, you know you have a large prime number:
Example:
On the back of the worksheet, for c, the first three digits of my student number might have been 571. Here are all the divisions I tried for that number.
571 |
divided by | 2 |
285.5 |
571 |
divided by | 3 |
190.3 |
571 |
divided by | 5 |
114.2 |
571 |
divided by | 7 |
81.6 |
571 |
divided by | 11 |
51.9 |
571 |
divided by | 13 |
43.9 |
571 |
divided by | 17 |
33.6 |
571 |
divided by | 19 |
30.1 |
571 |
divided by | 23 |
24.8 |
571 |
divided by | 29 |
19.7 |
In the above example, once the divisor (29) becomes bigger than the quotient (19.7), you know you have a prime number (assuming you didn't accidently skip any primes). Continuing to try bigger primes is a wasted effort.
Homework: Finish worksheet and review the distance formula. (a variation of the Pythagorean theorem!)
Examples from class here
Tues Feb 28
Graphing points - then using distance formula and prime factorization to express the answer as an exact number.
See graphing worksheet. Be sure to follow all the instructions. (Notice the answer list on the back!!)
Here are examples 2 and 3 from class.
Wed Feb 29
Another graphing worksheet - this time using pythagorean.
You may want to use this to help you check your work. (but probably not!)
Thur Mar 1
Practice Quiz over factoring, square roots, distance formula, and Pythagorean theorem.
Fri Mar 2
Quiz over factoring, square roots, distance formula, and Pythagorean theorem.
HOMEWORK: p. 486 1-19, Do not need to copy the problems but DO NEED to show your work. READ THE NOTES BELOW!!!
For a problems like: Does a triangle with sides measuring 4, 5, and 6 make a right triangle? The work looks like this:
42 + 52 =? 62
15 + 25 =? 36
40 is not equal 36 - not a right triangle. Can use ≠ as a symbol to indicate "is not equals"
Remember, just like if you have two legs you can figure out the hypotenuse
Example: 3
2 + 4 2 = c 2
You can also find a missing leg by using some algebra
Example: One side of a rectangle is 5 and the diagonal is 13. Find the missing side.
a 2 + 52 = 13 2
a2 + 25 = 169
a
2 = 144 (after subtracting 25 from both sides)
a=12 (after taking square root of both sides)
BOOK: 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.
Monday March 5
Special Right Triangles. Click here. YOU MUST draw the picture, label the vertices, and write the measure for ALL of the sides. I will be checking the ten pictures and the answers written on your paper. MAKE SURE YOU PUT THE LETTER FOR THE RIGHT ANGLE ON THE CORRECT VERTEX- otherwise your answers will definitely be wrong.
NOTES FROM CLASS: 7th Period MUST watch this as I will be out.
HW: Finish as home if needed. You can easily draw all the pictures in class and do at home if you run out of time (which you shouldn't). The only problem with doing it at home is you won't know if your answer is correct.
Tue March 6
More on Special Right Triangles. Click here. YOU MUST draw the picture, label the vertices, and write the measure for ALL of the sides.
Click here if you'd like to review the Powerpoint that explains the shortcuts from today and yesterday. Information related to this can also be found in the book starting on p. 491.
Wed 3/7
Practice Quiz. Notes allowed. 20 Checks. Show me CHECKS when done. MAKE SURE YOU HAVE THESE SHORTCUTS MEMORIZED FOR HOMEWORK.
Start Word Problem Set 1. Make a picture for each problem. Number them. Let me know if you need a written version of this worksheet. (Won't be able to check yourself with the written version). FINISH FOR HOMEWORK.
3/8 Thursday
Quiz - No Notes.
Finish Problem Set 1 - show me written work when done. (YOU MUST FINISH THIS - IT WAS AN ASSIGNMENT)
Problem Set 2 - in class only - extra credit. Show me checks.
3/9 Friday
Intro to Trigonometry - Trig Table and using sine
See sign-in worksheet here. Need to show work and submit when done. Be sure to look at example links at top of worksheet if needed.
There are lots of explanations on the web. Here's a fairly good one of what sine is but not how you use it in a problem. You can also find an explanation in the book. p. 640-644.
3/12 Monday
Trig Practice - adding cosine and tangent Do 10 of these. Draw a picture of what is being described and Write down steps (exactly what is on screen). Check yourself as you go. You cannot submit these. I am checking the written work. You should have a picture and the proper calculations for each problem.
More examples of today's work can be found here.
Finish Friday's work if necessary.
Still confused? Try reading the book. p. 640-644
3/13 Tuesday
Warm-up: Look at one of these and write down at least one example:
Tangent example and find the angle example
Today's assignment: More Trig Practice (finish at home if necessary - can do in parts, 12 in class, 8 at home for example)
How to teach a friend how to do these [The questions that Mr. Taylor ALWAYS asks] 1) Have them draw the picture LABELED CORRECTLY. ASK: Is right angle labeled correctly? Is given side (number given) and unknown side (number you want to find - put an x there) labeled in the correct place? Is the given angle in the correct place? If picture is incorrect then there is little chance of getting the right answer. 2) For the given angle, is the unknown side the opposite, adjacent, or hypotenuse? Is the given side the opposite, adjacent, or hypotenuse from this angle? Once you know this combination, which trig function will you use in the problem: Sin, Cos, or Tan [SOH - CAH - TOA] 3) BEFORE solving, come up with a guess for the answer - bigger or smaller than the given number? 4) Solve by algebra (cross-multiplication?) and verify that your answer is close to your guess. If it's not, your picture is probably wrong or your equation is probably wrong. Start over from 1. |
Want some extra credit, help someone else learn this. On a seperate sheet of paper to be turned in (or in an e-mail sent to mtaylor@wccusd.net), write a paragraph (at least 5 sentences) explaining how you helped them (Tell me who it was). [Ideas: What steps did you do? How many problems did you do? Did you see them do any own their own? Did they do one of each type? Do they know SOH-CAH-TOA? Do they know the difference between opposite and adjacent?]
For those receiving help, I will give you extra credit if you:
1) On a seperate sheet of paper to be turned in (or in an e-mail sent to mtaylor@wccusd.net), write a paragraph (at least 5 sentences) explaining how the person (Tell me who it was) helped you learn the material AND
2) Get a passing grade on the next quiz - NO EXTRA CREDIT WITHOUT HAVING LEARNED IT.
You can do the above any time between now and the quiz next Tuesday. If you would prefer to type this up, you can send me an e-mail mtaylor@wccusd.net .
3/14 Wed
1) If done with yesterday, do this Practice Quiz (can submit multiple times but I will ONLY use best score)
2) If done with Practice Quiz, do Trig Word Problems,
[I am out Thur/Fri - quiz on this when I return. LAST QUIZ OF QUARTER. Be ready!]
3/15 Thursday
Finish Trig Word Problems from yesterday
TODAY'S WORK: Proportions and similarity - submittable worksheet - make sure you do it!! Filling in adjective and noun at beginning makes the problems more fun! (Like Mad Libs)
Listen to instructor and/or read directions at bottom of worksheet. See examples from yesterday.
ALSO, extra credit (LAST ONE FOR QUARTER). If you haven't made up work, doing the work would be better - but if you have, the extra credit may help your grade.
ALSO, ALSO: Notebooks due on Monday
CHECK WHAT YOU HAVE DONE SO FAR HERE:
3/16 Friday
Make sure you've done the work from yesterday and Wednesday ( Word Problems, Practice Quiz, and Easy Proportion work sheets)
Do these Similarity/Proportion word problems. Be sure to look at the examples!! Second to last class assignment of quarter.
Any you have questions about, write them down and draw a picture - show me on Monday.
CHECK WHAT YOU HAVE DONE SO FAR HERE.
FINAL WEEK OF QUARTER
3/19 Monday
NOTEBOOKS DUE!!! (See note from Thursday on how to prepare)
Similar Triangles, Rules and Proportions. See example here. LAST ASSIGNMENT FOR QUARTER
Click here for the work.
Finish Trig Word Problems or any other work from last week, if you have not!!
3/20 Tuesday
Quiz (Timed: 30 minutes, open note)
•Once Done, Start practice Test in Exam View Player
Depending on how much time you spend on the quiz, you may not have enough time to see the entire practice test.
Test could be over anything from the quarter but will largely concentrate on Right Triangles, Pythagorean Theorem, Trigonometry, and Similarity (everything we've done over the last month).
3/21 Wednesday
More Practice Test for Warm-up, Questions?, GGN for Review
3/22 Thursday
Test - Exam View Multiple Choice - No Do-overs - come ready to show your stuff - leave it all on the court.
When done work on any missing work or practice for Trig re-quiz tomorrow (See tomorrow for conditions). Practice Quiz
TONIGHT is the last night to make up any missing work!! What have you been waiting for?
3/23 Friday.
Quiz (Untimed: Closed Notes - You should only have page, calculator, and trig table if needed - CANNOT watch my videos explaining how to do this.) Make sure you show me when done.
Whichever is higher of the last two will be used as a quiz grade. The other one will be used as a class grade. They both count - one is just worth more than the other.
Anything you do in class today can still be counted. Try to make up at least one more assignment - every point counts!! You should find something SILENT to do (in most cases, make-up work - not sure, ASK). Talking will result in a zero for today's classwork - everyone deserves a quiet environment in which to concentrate.
NEXT QUARTER
3/26 Monday - Minimum Day
Radii and centers of circles on a graph. First grade of new quarter
3/27 Tuesday
Review of SSS, SAS, AAS, ASA - Special rules for right triangles - HL, HA, LA, LL (LAST new thing before test).
Old Stuff - Do 6 of them (use link to get new problem)
New Stuff - Do 4 of them (hit refresh to get new problem)
3/28 Wednesday
New Stuff - Do 10 of them [So 14 between today and yesterday]
Extra Time: Try this.