completing the square example 1 2011
completing the square example 2 2011
completing the square ex 3 2011
Thursday, May 5, 2011
Sunday, May 1, 2011
Homework assignment sheet
OK, here we go...
I am not making an assignment sheet from here to the end of the year. Instead, I am going to give you a list of work in the order that we will do it as soon as the alegebra test is complete. Your homework until the test will be work sheets.
1) 2 days of end of the year portfolio work
2) Constructed drawing 1: Cube
3) Constructed drawing 2: interlocking triangles
4) Constructed drawing 3: Interlocking squares
5) Constructed drawing 4: Octoburst
6) Constructed drawing 5: 5-pointed star (hard)
7) Constructed drawing 6: You choose a new pattern to figure out from a pattern book
8) Constructed drawing 7: Final project
For the constructed drawings you will need a pencil (machanical will wokr best) and a ruler (all of mine are gone, so you must provide them). I have cheap compasses from yur supply packs, but if you have a nice one, you should bring it.
I am not making an assignment sheet from here to the end of the year. Instead, I am going to give you a list of work in the order that we will do it as soon as the alegebra test is complete. Your homework until the test will be work sheets.
1) 2 days of end of the year portfolio work
2) Constructed drawing 1: Cube
3) Constructed drawing 2: interlocking triangles
4) Constructed drawing 3: Interlocking squares
5) Constructed drawing 4: Octoburst
6) Constructed drawing 5: 5-pointed star (hard)
7) Constructed drawing 6: You choose a new pattern to figure out from a pattern book
8) Constructed drawing 7: Final project
For the constructed drawings you will need a pencil (machanical will wokr best) and a ruler (all of mine are gone, so you must provide them). I have cheap compasses from yur supply packs, but if you have a nice one, you should bring it.
Tuesday, April 26, 2011
Tuesday 4/26 class videos
Graphing a quadratic:
factoring axsq bx c warm up
Finding an equation from two points:
finding a linear equation from points
factoring axsq bx c warm up
Finding an equation from two points:
finding a linear equation from points
Algebra review videos
Here is your year of math in review. Feel free to reference this post once you are in high school as well.
alg review equation from a table
graphing a quad
graphing a quad plug and chug
graphing quad flight
wu part 1 graphing a quadratic
wuq graphing quad 2
alg review quad graph linear
alg review solving systems
alg review solving systems
completing the square 1
completing the square 2
completing the square 3
completing the square 4
factoring 1
factor 2
factoring 3
factoring 4
factoring by grouping
linear equation from a graph
name the relationship part 1
name the relationship part 2 plus box plots
pyth theorem
quadratic formula
rad again 2 pyth
radicals again
radicals still
rules of exp 1
rules of exp 1a
rules of exp 2
solving a quadratic
systems what is
alg review equation from a table
graphing a quad
graphing a quad plug and chug
graphing quad flight
wu part 1 graphing a quadratic
wuq graphing quad 2
alg review quad graph linear
alg review solving systems
alg review solving systems
completing the square 1
completing the square 2
completing the square 3
completing the square 4
factoring 1
factor 2
factoring 3
factoring 4
factoring by grouping
linear equation from a graph
name the relationship part 1
name the relationship part 2 plus box plots
pyth theorem
quadratic formula
rad again 2 pyth
radicals again
radicals still
rules of exp 1
rules of exp 1a
rules of exp 2
solving a quadratic
systems what is
Sunday, April 24, 2011
Shapes of algebra unit review answers
TEST IS ON WEDNESDAY! WE WILL HAVE AN OBSERVER TOMORROW SO WE WILL CONTINUE ON WITH OUR ALGEBRA REVIEW.
Sorry about the issue with the previous post. I have created a video that scrolls through the 27 pages of answers. Feel free to scroll through and pause the video as needed.
shapes of algebra review sheet answers
Level 1: solving inequalities
Level 2: converting linear standard form equations into slope-intercept form equations and vice versa
Level 3: Graphing inequalities
Level 4 and 5: application of systems of equations + solving by graphing
Level 6: solving systems of equations without graphing
Sorry about the issue with the previous post. I have created a video that scrolls through the 27 pages of answers. Feel free to scroll through and pause the video as needed.
shapes of algebra review sheet answers
Level 1: solving inequalities
Level 2: converting linear standard form equations into slope-intercept form equations and vice versa
Level 3: Graphing inequalities
Level 4 and 5: application of systems of equations + solving by graphing
Level 6: solving systems of equations without graphing
Thursday, April 21, 2011
Friday sub plans
Mrs. Costello,
The schedule for the day is on the 'dumb' white board.
1) Please have a volunteer from the first class take out the recycling bin.
2) Have both classes turn in their algebra sheets (to be graded by the student assistance last class)
3) Have the the student assistance (1st: Max, 2nd: Liam return last weeks algebra sheet)
4) Click on the warm-up below and display it for the students to do.
5) Once everyone is done, make sure the speaker is plugged in and the volume is turned up.
Warm-up
6) once students have had 10 minutes to work, play these videos that go over the problems
review of systems warm up 1
review systems of equation warm up 2
7) Pass out both work sheets (I think I left them on the chairs on the from table).
8) Play this video
Launch
review of systems of equations launch
Students should work in pairs, no more, on the sheets. There will be 2 competitions for reward squares today between the classes so please make a note in your sub notes which class 1) had the most completed worksheets and 2) which class was the most curtious.
Students should keep their work and place it in the back cover of their portfolio folder.
The schedule for the day is on the 'dumb' white board.
1) Please have a volunteer from the first class take out the recycling bin.
2) Have both classes turn in their algebra sheets (to be graded by the student assistance last class)
3) Have the the student assistance (1st: Max, 2nd: Liam return last weeks algebra sheet)
4) Click on the warm-up below and display it for the students to do.
5) Once everyone is done, make sure the speaker is plugged in and the volume is turned up.
Warm-up
6) once students have had 10 minutes to work, play these videos that go over the problems
review of systems warm up 1
review systems of equation warm up 2
7) Pass out both work sheets (I think I left them on the chairs on the from table).
8) Play this video
Launch
review of systems of equations launch
Students should work in pairs, no more, on the sheets. There will be 2 competitions for reward squares today between the classes so please make a note in your sub notes which class 1) had the most completed worksheets and 2) which class was the most curtious.
Students should keep their work and place it in the back cover of their portfolio folder.
Wednesday, April 20, 2011
Sunday, April 17, 2011
Last Homework Assignment Sheet Ever?
Fill in your charts and this is the last assignment sheet you will ever get from me.
Homework due Tuesday (I posted the wrong sheet this morning): 9-12, 16-20 last ace section
Homework due Tuesday (I posted the wrong sheet this morning): 9-12, 16-20 last ace section
Thursday, April 14, 2011
Wednesday, April 13, 2011
Sub plans for 4/14 (Shapes of Algebra inv 5.2)
Warm-up (display
shapes of algebrs warmup inv 5.2
Warm up explained
shapes of algebra inv 5 2 warmup explained
Investigation launch:
shapes of algebra inv 52 launch
Investigation summary (a bit short):
shapes of algebra inv 52 summary
shapes of algebrs warmup inv 5.2
Warm up explained
shapes of algebra inv 5 2 warmup explained
Investigation launch:
shapes of algebra inv 52 launch
Investigation summary (a bit short):
shapes of algebra inv 52 summary
Monday, April 11, 2011
Shapes of Algebra ace help inv 4
soa inv 4 prob 51-55
soa inv 4 prob 59
soa inv 4 65 and 66
For # 20, all you do is to substitude y in for x so you get
7y - 2y = 5
5y = 5
y = 1
Since x = y, then x also = 1
the lines cross at (1,1)
soa inv 4 prob 59
soa inv 4 65 and 66
For # 20, all you do is to substitude y in for x so you get
7y - 2y = 5
5y = 5
y = 1
Since x = y, then x also = 1
the lines cross at (1,1)
Monday, April 4, 2011
Wednesday, March 23, 2011
Monday, March 21, 2011
Shapes of Algebra inv 3.2 summary and algebra help
shapes inv 32 summary
Ace help
sa inv 3 ace 28 to 32 evens
Algebra help:
alg 9 5 prob 17 and 23
There is an error in the above video, the answer to the last problem should be negative!
alg 9 5 mr 7 and 9
Ace help
sa inv 3 ace 28 to 32 evens
Algebra help:
alg 9 5 prob 17 and 23
There is an error in the above video, the answer to the last problem should be negative!
alg 9 5 mr 7 and 9
Thursday, March 17, 2011
Wednesday, March 16, 2011
Tuesday, March 15, 2011
Friday, March 11, 2011
Littleton placement exam videos (and happy birthday Lilly)
Friday, March 4, 2011
Videos on your homework due Monday
csap drinving problem part 1
csap driving problem part 2
csap model car problem
Other released items to see:
csap review pie graph blood type
finding the left over area of a circle in a square
csap review pythagorean theorem
csap ball height
csap candle burning part 1
csap candle burning part 2
csap drinving problem part 1
csap driving problem part 2
csap model car problem
Other released items to see:
csap review pie graph blood type
finding the left over area of a circle in a square
csap review pythagorean theorem
csap ball height
csap candle burning part 1
csap candle burning part 2
Thursday, March 3, 2011
Pi day Pi baking Contest Rules and Rubirc
Just a reminder, if you want to eat pie on Pi day (3/14) then we need pies brought in on Pi day. Donated pies can be store bought. Pi baking contest pies must be homemade.
Here are the rules:
Here are the rules:
Pi Day Baking contest Rules and Procedures:
Rules:
1) Pies must be home-made (pre-made crusts are acceptable)
2) Students must participate in the making of the pies. No parent only made pies
3) Pies must be delivered to the students’ homeroom by 7:25 on Monday 3/14
4) If there is dairy in anything other than butter, please make a note of it on the top
5) If pies are diabetic friendly (no sugar) please note that on the top of the pie
Procedures:
1) Pies will be checked into homerooms by 7:25 with this form signed my both the student and the parent.
2) At that time, a numbered sticker will be stuck to the bottom of the pie and on this form. Students must keep this form with the number.
3) Student council representatives will taste pies from a homeroom and judge each pie (see below for pie tasting rubric) before school starts.
4) Student council judges will determine the top two entries from each homeroom and those eight pies will be taken to the middle school teachers for final judging.
5) The final judging will take place at 11:45 and will follow the same judging rubric.
6) The eight finalists and the over-all winner and runner-up will be announced at 11:45 during the Pi day awards presentation.
7) The winner will have the chance to throw a whipped-cream pie in Mr. Framke’s face, acknowledgement in the middle school news letter, and possible additional prizes.
Appearance: 10 points each
Pre-slice score (Includes consistency of crust or topping)
After slice score (based on degree of appropriate runniness, juiciness or firmness)
Crust: 10 points
(Flaky or mealy)
Filling: 10 points each
1) Impression of the first taste. Strength and balance of flavor appropriate for type of pie; balance of sweet and/or tartness.
2) Peripheral flavors should be balanced with main ingredient of pie),
3) Mouth Feel (appropriate consistency, i.e. thick, thin, smooth, creamy, chalky, mushy, runny, dry, sticky, etc.), Crust (flaky or mealy)
4) Aftertaste (pleasant or unpleasant).
Overall Impression: 10 points
Impressiveness, Creativity (based on originality).

Pie #
I ________________________ agree to the rules of this contest.
(Student name)
____________________________
(Student signature)
____________________________
(Parent signature
10 9 8 7 6 5 4 3 2 1
Pre-slice score | ||||||||||
Post-slice score | ||||||||||
Crust | ||||||||||
Impression of the first taste | ||||||||||
Peripheral flavors | ||||||||||
Mouth Feel | ||||||||||
Aftertaste | ||||||||||
Overall Impression | ||||||||||
Total Score: | ||||||||||
Digits of Pi
3.
1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 3809525720 1065485863 2788659361 5338182796 8230301952 0353018529 6899577362 2599413891 2497217752 8347913151 5574857242 4541506959 5082953311 6861727855 8890750983 8175463746 4939319255 0604009277 0167113900 9848824012 8583616035 6370766010 4710181942 9555961989 4676783744 9448255379 7747268471 0404753464 6208046684 2590694912 9331367702 8989152104 7521620569 6602405803 8150193511 2533824300 3558764024 7496473263 9141992726 0426992279 6782354781 6360093417 2164121992 4586315030 2861829745 5570674983 8505494588 5869269956 9092721079 7509302955 3211653449 8720275596 0236480665 4991198818 3479775356 6369807426 5425278625 5181841757 4672890977 7727938000 8164706001 6145249192 1732172147 7235014144 1973568548 1613611573 5255213347 5741849468 4385233239 0739414333 4547762416 8625189835 6948556209 9219222184 2725502542 5688767179 0494601653 4668049886 2723279178 6085784383 8279679766 8145410095 3883786360 9506800642 2512520511 7392984896 0841284886 2694560424 1965285022 2106611863 0674427862 2039194945 0471237137 8696095636 4371917287 4677646575 7396241389 0865832645 9958133904 7802759009 9465764078 9512694683 9835259570 9825822620 5224894077 2671947826 8482601476 9909026401 3639443745 5305068203 4962524517 4939965143 1429809190 6592509372 2169646151 5709858387 4105978859 5977297549 8930161753 9284681382 6868386894 2774155991 8559252459 5395943104 9972524680 8459872736 4469584865 3836736222 6260991246 0805124388 4390451244 1365497627 8079771569 1435997700 1296160894 4169486855 5848406353 4220722258 2848864815 8456028506 0168427394 5226746767 8895252138 5225499546 6672782398 6456596116 3548862305 7745649803 5593634568 1743241125 1507606947 9451096596 0940252288 7971089314 5669136867 2287489405 6010150330 8617928680 9208747609 1782493858 9009714909 6759852613 6554978189 3129784821 6829989487 2265880485 7564014270 4775551323 7964145152 3746234364 5428584447 9526586782 1051141354 7357395231 1342716610 2135969536 2314429524 8493718711 0145765403 5902799344 0374200731 0578539062 1983874478 0847848968 3321445713 8687519435 0643021845 3191048481 0053706146 8067491927 8191197939 9520614196 6342875444 0643745123 7181921799 9839101591 9561814675 1426912397 4894090718 6494231961
1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 3809525720 1065485863 2788659361 5338182796 8230301952 0353018529 6899577362 2599413891 2497217752 8347913151 5574857242 4541506959 5082953311 6861727855 8890750983 8175463746 4939319255 0604009277 0167113900 9848824012 8583616035 6370766010 4710181942 9555961989 4676783744 9448255379 7747268471 0404753464 6208046684 2590694912 9331367702 8989152104 7521620569 6602405803 8150193511 2533824300 3558764024 7496473263 9141992726 0426992279 6782354781 6360093417 2164121992 4586315030 2861829745 5570674983 8505494588 5869269956 9092721079 7509302955 3211653449 8720275596 0236480665 4991198818 3479775356 6369807426 5425278625 5181841757 4672890977 7727938000 8164706001 6145249192 1732172147 7235014144 1973568548 1613611573 5255213347 5741849468 4385233239 0739414333 4547762416 8625189835 6948556209 9219222184 2725502542 5688767179 0494601653 4668049886 2723279178 6085784383 8279679766 8145410095 3883786360 9506800642 2512520511 7392984896 0841284886 2694560424 1965285022 2106611863 0674427862 2039194945 0471237137 8696095636 4371917287 4677646575 7396241389 0865832645 9958133904 7802759009 9465764078 9512694683 9835259570 9825822620 5224894077 2671947826 8482601476 9909026401 3639443745 5305068203 4962524517 4939965143 1429809190 6592509372 2169646151 5709858387 4105978859 5977297549 8930161753 9284681382 6868386894 2774155991 8559252459 5395943104 9972524680 8459872736 4469584865 3836736222 6260991246 0805124388 4390451244 1365497627 8079771569 1435997700 1296160894 4169486855 5848406353 4220722258 2848864815 8456028506 0168427394 5226746767 8895252138 5225499546 6672782398 6456596116 3548862305 7745649803 5593634568 1743241125 1507606947 9451096596 0940252288 7971089314 5669136867 2287489405 6010150330 8617928680 9208747609 1782493858 9009714909 6759852613 6554978189 3129784821 6829989487 2265880485 7564014270 4775551323 7964145152 3746234364 5428584447 9526586782 1051141354 7357395231 1342716610 2135969536 2314429524 8493718711 0145765403 5902799344 0374200731 0578539062 1983874478 0847848968 3321445713 8687519435 0643021845 3191048481 0053706146 8067491927 8191197939 9520614196 6342875444 0643745123 7181921799 9839101591 9561814675 1426912397 4894090718 6494231961
Wednesday, March 2, 2011
Monday, February 28, 2011
Friday, February 25, 2011
Thursday, February 24, 2011
Wednesday, February 23, 2011
Thursday, February 17, 2011
Monday, February 14, 2011
Thursday, February 10, 2011
Tuesday, February 8, 2011
Wednesday, January 26, 2011
Math Class Jan. 26
Warm-up:
Do the problem first, then view.
csap practice times
Algebra sheet 7-4 example problems:
algebra 7-4 prob 2
algebra 7-4 prob 14
algebra 7-4 prob 25 and 26
Hope you're having fun 8D. Brake a leg!
Do the problem first, then view.
csap practice times
Algebra sheet 7-4 example problems:
algebra 7-4 prob 2
algebra 7-4 prob 14
algebra 7-4 prob 25 and 26
Hope you're having fun 8D. Brake a leg!
Tuesday, January 25, 2011
Thursday, January 20, 2011
Chapter test help
chapter 11 test b q1
chapter 11 test b 2 and 3
chapter 11 test b 4
chapter 11 test b 5 and 6 a and b
chapter 11 test b prob 6c and 7
algebra chapter 11 test b 8 to end
algebra chapter 11 test b prob 10 a and b
algebra chapter 11 test b prob 10 c d e plus a 10 sec intro to 12 and 13
Today's class videos (no sound)
algebra 11-8 guided practice 1
algebra 11-8 intro 2
algebra 11-8 mr 6 hq
algebra 11-8 prob 6 and 15
chapter 11 test b 2 and 3
chapter 11 test b 4
chapter 11 test b 5 and 6 a and b
chapter 11 test b prob 6c and 7
algebra chapter 11 test b 8 to end
algebra chapter 11 test b prob 10 a and b
algebra chapter 11 test b prob 10 c d e plus a 10 sec intro to 12 and 13
Today's class videos (no sound)
algebra 11-8 guided practice 1
algebra 11-8 intro 2
algebra 11-8 mr 6 hq
algebra 11-8 prob 6 and 15
Wednesday, January 19, 2011
Tuesday, January 18, 2011
Chapter 11 homework help
algebra 11-7 prob 15 and 25
algebra 11-7 prob 19 21 and 23
Homework due tomorrow:
P. 533 1-9 odds
p. 538 14 - 36 evens (written ex)
p. 539 mixed review all
algebra 11-7 prob 19 21 and 23
Homework due tomorrow:
P. 533 1-9 odds
p. 538 14 - 36 evens (written ex)
p. 539 mixed review all
Thursday, January 13, 2011
Chapter 11-7 help
It's been a ROUGH day with technology. I don't know why the sound didn't work, but the videos can still be helpful.
algebra 11-6 6 15 p2
algebra 11- 7 radicals intro part 1
algebra 11-7 radicals intro part 2
algebra 11-7 radicals part 3
algebra 11-6 6 15 p2
algebra 11- 7 radicals intro part 1
algebra 11-7 radicals intro part 2
algebra 11-7 radicals part 3
Wednesday, January 12, 2011
pythagorus
section 11 - 5 homework quiz
pythagorus part 1
pythagorus part 2
pythagorus part 3
pythagours part 4
other problems for help:
pythagorus p 532 28
pythagorus p 532 30
pythagorean_theorem_word_problem_page_533_10_part_1
pythagorean_theorem_word_problem_page_533_10_part_2
Mathletics should view this:
pythagortean_theorem_word_problems_page_533__9
7thgrade:
7thgrade
pythagorus part 1
pythagorus part 2
pythagorus part 3
pythagours part 4
other problems for help:
pythagorus p 532 28
pythagorus p 532 30
pythagorean_theorem_word_problem_page_533_10_part_1
pythagorean_theorem_word_problem_page_533_10_part_2
Mathletics should view this:
pythagortean_theorem_word_problems_page_533__9
7thgrade:
7thgrade
Friday, January 7, 2011
Tuesday, January 4, 2011
HELP!
There will be a homework pass to the first two students who come in at 7:40 to help clean out my classroom tomorrow!
Monday, January 3, 2011
8 DH movie requests
8 DH you won the movie for Wednesday, but I need to here your requests so you have some choices. Comment to this email your requests.
Friday, December 31, 2010
Thank you for a great year
I had a great season, including winning his age group at the 5430 Boulder Peak Triathlon, and placing fourth in his age group at the ITU World Triathlon Championship in Budapest, Hungary. I would like to thank Runners Roost, Power Bar, and Saucony for their sponsorship and support this season.
Thursday, December 16, 2010
Tuesday, December 14, 2010
Chapter 5 test form b answers updated 12/16
Saturday, December 11, 2010
FFPC Unit Review
ffpc unit review 1 to 3
ffpc unit review 4 to 7
ffpc unit review 8 and 9
ffpc unit review 10 to 12
ffpc unit review 13
ffpc unit review 14 graph
ffpc unit review 14 table
ffpc unit review 15 and 16
ffpc unit review 17
ffpc unit review 18 and 18
ffpc unit review 20 to 25
ffpc unit review 26 to 33
ffpc unit review 35 to 41
ffpc unit review 4 to 7
ffpc unit review 8 and 9
ffpc unit review 10 to 12
ffpc unit review 13
ffpc unit review 14 graph
ffpc unit review 14 table
ffpc unit review 15 and 16
ffpc unit review 17
ffpc unit review 18 and 18
ffpc unit review 20 to 25
ffpc unit review 26 to 33
ffpc unit review 35 to 41
Tuesday, December 7, 2010
Homework tonight
The homework for the rest of the week will be due one day after it was original due date. For Homework tonight do...THERE IS NONE! Enjoy
Monday, December 6, 2010
algebra sheet 5-12 help
These videos are from a different sheet from the same chapter section, so they should be helpful.
alg 5 12 38
alg 5 12 6 18 part 1
alg 5 12 16 finish 30
alg 5 12 38
alg 5 12 6 18 part 1
alg 5 12 16 finish 30
Thursday, December 2, 2010
FFPC inv 3 ace help Plus Algevra help on 5-11
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