To all my young (and not so young) math scholars,

After a wonderful ten years at Runkle, I'm retiring from teaching.

During my ten years I taught 550 math students, managed 140 math team members, watched 300 Variety Show acts,  and coached 60 basketball players. Thanks to all for your hard work and dedication!

It's been a privilege to teach at Runkle, where a wonderful group of students and families mix with an incredible team of professional educators. 

To my 7th graders, I'm so sorry I won't be around to teach you next year, but I plan to be at your graduation and know I will be proud to see how much you've grown and learned.

My very best regards,

Eric Lass






Date of Message: Tuesday, June 23rd

Last day of school, have a great summer!!!


Date of Message: Monday, June 22nd

No new assignments today, tomorrow is out last day of school!


Date of Message: Friday, June 19th

No new assignments today.  Please finish all incomplete assignments by TODAY AT 3:00pm on www.assistments.org

Have a great weekend!



Date of Message: Thursday, June 18th

7th grade meeting today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th grade

Graduation Day!


Date of Message: Wednesday, June 17th

7th grade

No new work, but please complete any missing assignments at www.assistments.org by Friday.

8th grade

If you haven't done so, please finish your project!  Share it with me through your Google Drive or email to  eric_lass@psbma.org


Date of Message: Tuesday, June 16th

7th grade today at 1:00pm
 
Meeting ID: 818 6873 1888
Password: 5dkrWw


8th Grade

No Math call today, but I will be joining you on your final Advisory call at 11:00am.


Date of Message: Monday, June 15th

7th Grade

No new lesson today.  If you have missing work, please go to www.assistments.org to complete it by Friday.  If not, give this problem a try:

Take Me Out to the Ballgame

 

A pitcher's Earned Run Average (ERA) is the mean (average) number of runs he gives up per nine innings pitched, which is a full game of baseball. For example, if he's pitched six innings and given up four runs, that's an average of two runs per three innings. Extending that to nine innings, he'd give up six runs, so his ERA would be 6.00 at that point.

 

As the season goes on and he pitches more games, his ERA will constantly change in value, but it always represents the average number of runs he would give up over nine innings of pitching. If he's given up 11 runs after pitching a total of 18 innings, his ERA would be 5.50.

 

I recently attended a Red Sox game, and one pitcher had an ERA of 13.50 when he came into the game. After he got one batter out, his ERA dropped to 13.00. Note that since there are three outs in an inning, one out represents a third of an inning pitched.

 

How many innings had that pitcher pitched before he came into the game I saw?


Send your answer to  eric_lass@psbma.org



8th grade

If you haven't done so, please finish your project!  Share it with me through your Google Drive or email to  eric_lass@psbma.org


Date of Message: Friday, June 12th

7th Grade



Send your answers to  eric_lass@psbma.org  with POW in the subject line.


8th grade

If you haven't done so, please finish your project!  Share it with me through your Google Drive or email to  eric_lass@psbma.org


Date of Message: Thursday, June 11th

7th grade meeting today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th Grade meeting today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/83798467384?pwd=L3p3UTZOWWNYU3RYTHdzKy85UHRzQT09 Meeting ID: 837 9846 7384 Password: 9M5Dap


Date of Message: Wednesday, June 10th

7th Grade Lesson

7 Mean Absolute Deviation.webm


For today's assignment, I found a couple of mistakes, so PLEASE DON"T WORRY ABOUT YOUR SCORE.  THERE ARE QUESTIONS ABOUT GRAPHS 1, 2, AND 3 BUT YOU ARE ONLY GIVEN 3, 4, AND 5 SO IGNORE THE QUESTIONS ABOUT GRAPHS 1, 2 AND 3. Do all the others. 

Sorry for any confusion, we'll go over Mean Absolute Deviation (MAD) on our Thursday call. www.assistments.com


8th Grade

Please continue work on your www.desmos.com art projects.  IT IS DUE THIS FRIDAY!!!

Please write down any questions for tomorrow's Zoom call or email me at eric_lass@psbma.org

Also, please remember that your project should have a MINIMUM of 30 equations and a MINIMUM of 3 different types of equations (lines/circles/parabolas, or ovals/lines/exponentials, etc).


Date of Message: Tuesday, June 9th

7th grade today at 1:00pm
 
Meeting ID: 818 6873 1888
Password: 5dkrWw


8th Grade today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/85871953707?pwd=MDZJcExRUUFvRFN6aC9jTHF2M3VzUT09 Meeting ID: 858 7195 3707 Password: 2ckVPF


Date of Message: Monday, June 8th

7th Grade

7 More Sample Questions.webm




For today's assignment, go to www.assistments.com


8th Grade

Please continue work on your www.desmos.com art projects.  IT IS DUE THIS FRIDAY!!!

Please write down any questions for tomorrow's Zoom call or email me at eric_lass@psbma.org

Also, please remember that your project should have a MINIMUM of 30 equations and a MINIMUM of 3 different types of equations (lines/circles/parabolas, or ovals/lines/exponentials, etc).


Date of Message: Friday, June 5th

No more POWs this year, but great work on last week's problem from Will B, Ania Y, George T and Ayanna R.

Also, congratulations to Will B and Ravin B, who solved the most POWs for the school year in their grade!

We'll have new lessons on Monday, have a great weekend!


Date of Message: Thursday, June 4th

7th grade meeting today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th Grade meeting today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/83798467384?pwd=L3p3UTZOWWNYU3RYTHdzKy85UHRzQT09 Meeting ID: 837 9846 7384 Password: 9M5Dap


Date of Message: Wednesday, June 3rd

7th Grade Lesson

7 Random Samples.webm


For today's assignment, go to www.assistments.com


8th Grade

Please continue work on your www.desmos.com art projects.  Please write down questions for tomorrow's Zoom call or email me at eric_lass@psbma.org

Also, please remember that your project should have a MINIMUM of 30 equations and a MINIMUM of 3 different types of equations (lines/circles/parabolas, or ovals/lines/exponentials, etc).
 

Date of Message: Tuesday, June 2nd

7th grade today at 1:00pm
 
Meeting ID: 818 6873 1888
Password: 5dkrWw


8th Grade today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/85871953707?pwd=MDZJcExRUUFvRFN6aC9jTHF2M3VzUT09 Meeting ID: 858 7195 3707 Password: 2ckVPF



Date of Message: Monday, June 1st

7th Grade Lesson

7 Representative Samples.webm



For today's assignment, go to www.assistments.com


8th Grade

Please continue work on your www.desmos.com art projects.  Please write down questions for tomorrow's Zoom call or email me at eric_lass@psbma.org
 


Date of Message: Friday, May 29th

Here's the new Problem of the Week:




Date of Message: Thursday, May 28th

Good day my young math scholars,

7th grade meeting today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th Grade meeting today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/83798467384?pwd=L3p3UTZOWWNYU3RYTHdzKy85UHRzQT09 Meeting ID: 837 9846 7384 Password: 9M5Dap



Date of Message: Wednesday, May 27th

7 Lesson:

7 Compound Probability.webm


Today's assignment can be found at  www.assistments.org



8 Lesson:

8 Desmos Art Project.webm


Your assignment is to begin the Desmos art project.  It is due by Friday, June 12th. Click here for the file which contains your instructions: 


If you have questions, please join us for our Zoom call tomorrow.  Good luck!


Date of Message: Tuesday, May 26th

NO Zoom calls today.  New lessons and assignments tomorrow, Wednesday, May 27th.


Date of Message: Monday, May 25th

Memorial Day, no new work, no Tuesday call.  Next lesson/assignments will be on Wednesday the 27th.


Date of Message: Friday, May 22nd

Congratulations to Gus, Gregor, Will B and Runkle alum Sam SS for correctly answering the POW!

We're going to take a break for the holiday weekend, so no new POW today. Also, there will be NO lesson on Monday and NO Zoom meet-ups on Tuesday.  I'll have new lessons and assignments on Wednesday, May 30th.

Enjoy the holiday!


Date of Message: Thursday, May 21st

Good day my young math scholars,

7th grade meeting today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th Grade meeting today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/83798467384?pwd=L3p3UTZOWWNYU3RYTHdzKy85UHRzQT09 Meeting ID: 837 9846 7384 Password: 9M5Dap


Date of Message: Wednesday, May 20th

7th Grade Lesson

7 Counting with Tree Diagrams.webm



Today's assignment can be found at  www.assistments.org


8th Grade Lesson

8 Graphing Exponentials.webm


Today's assignment can be found at  www.student.desmos.com
Use code:  NFNJKS


Date of Message: Tuesday, May 19th

7th grade today at 1:00pm
 
Meeting ID: 818 6873 1888
Password: 5dkrWw


8th Grade today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/85871953707?pwd=MDZJcExRUUFvRFN6aC9jTHF2M3VzUT09 Meeting ID: 858 7195 3707 Password: 2ckVPF



Date of Message: Monday, May 18th

7th grade

Here's today's lesson:

7 Sample Space and Simulations.webm



Your assignment today is at  www.assistments.org


8th grade

Here's today's lesson:

8 Graphing Circles.webm



Your assignment today is at www.student.desmos.com
Your code is: 46XN3Z





Date of Message: Friday, May 15th

Congrats to Gregor, Gracie Y and Will B for solving this week's POW!

Here's a new one for the coming week:

Letter Jackets

A small 8-person company creates hand-made jackets with school names and colors. It offers a basic jacket with the school logo, and a deluxe model with leather sleeves and more trim. The company gets a lot of business in March with the college basketball tournament taking place.

Making a basic jacket involves one hour of cutting and two hours of sewing. Making a deluxe jacket involves two hours of cutting and three hours of sewing. All employees work 8 hours a day. Three of the employees do the cutting, so there are 24 hours of labor available for cutting each day. The other five employees do the sewing, so there are 40 hours of labor available for sewing each day.

If the profit on each basic jacket is $40 and the profit on each deluxe one is $70, how many of each kind should the company make each day in order to maximize the profit?

 

Email me your solution at eric_lass@psbma.org or share it with me through your google drive.


Have a great weekend!


Date of Message: Thursday, May 14th

Good day my young math scholars,

7th grade meeting today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th Grade meeting today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/83798467384?pwd=L3p3UTZOWWNYU3RYTHdzKy85UHRzQT09 Meeting ID: 837 9846 7384 Password: 9M5Dap


Date of Message: Wednesday, May 13th

7th grade lesson

7 Complex Simulations.webm


7th grade assignment is on www.assistments.org


8th Grade Lesson

8 Graphing Parabolas.webm

 


For today's assignment, go to www.student.desmos.com
Use code:  C5AAYK


Date of Message: Tuesday, May 12th

7th grade today at 1:00pm
 
Meeting ID: 818 6873 1888
Password: 5dkrWw


8th Grade today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/85871953707?pwd=MDZJcExRUUFvRFN6aC9jTHF2M3VzUT09 Meeting ID: 858 7195 3707 Password: 2ckVPF



Date of Message: Monday, May 11th

Hello my young math scholars,

7th grade lesson:

7 Basic Simulations.webm


New assignment is on www.student.desmos.com
Use code: BWKJFW



8th grade lesson (instructions on Desmos activity):

8 Domain in Desmos Marbleslides.webm


Todays assignment is at www.student.desmos.com  
code: RTJ7QX

If there are any questions, we'll have zoom meetings on Tuesday, 1:00pm for 7th grade, 2:00pm for 8th grade.


Date of Message: Friday, May 8th

Congrats to Will B, Gregor and Kiran for correctly answering this week's POW!

Here's the newest problem:

Space Diagonal

An edge of a given cube is 1 inch. A space diagonal of this cube is used as an edge to form a second cube (as shown in diagram below).

 

A space diagonal of this second cube is used as an edge to form a third cube. The process is repeated.

 

How many inches are in the length of an edge of the fifth cube?

 

Be sure you explain your work clearly, so that a friend could understand just what you were doing at each step along the way.





Date of Message: Thursday, May 7th

Good day my young math scholars,

7th grade today at 1:00pm
 
Join Zoom Meeting https://us02web.zoom.us/j/84446554499?pwd=d1YrRHdha2lGT0FyQ20yNUwwYllxZz09 Meeting ID: 844 4655 4499 Password: 8iDB2d


8th Grade today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/83798467384?pwd=L3p3UTZOWWNYU3RYTHdzKy85UHRzQT09 Meeting ID: 837 9846 7384 Password: 9M5Dap



Date of Message: Wednesday, May 6th

7th Grade: Here's your lesson:

7 Samples and Predictions.webm



Go to  www.assistments.org  for today's assignment.


8th Grade: No new lesson today; we're going to continue looking at range and domain.  Go to www.student.desmos.com and use code: 2PUBZS  

If you have any questions or difficulty, email me or write down your questions and save them for our zoom meetings on Thursday.


Date of Message: Tuesday, May 5th

First a quick note on due dates.  I've left Assistments assignments open through the end of May to accommodate families that have illnesses or other difficult circumstances.  This does NOT mean you should be waiting to complete your assignments until month end.  If you are not ill, assignments are due ONE WEEK after I post them.  Feel free to ask questions during our meet-ups or via email.  

Hope that clarifies things!

I'm switching to Zoom for our meetings, here you go:

7th grade today at 1:00pm
 
Meeting ID: 818 6873 1888
Password: 5dkrWw


8th Grade today at 2:00pm

Join Zoom Meeting https://us02web.zoom.us/j/85871953707?pwd=MDZJcExRUUFvRFN6aC9jTHF2M3VzUT09 Meeting ID: 858 7195 3707 Password: 2ckVPF



Date of Message: Monday, May 4th

Hello all, hope you had a relaxing weekend and safely enjoyed the good weather!

7th grade lesson:

7 Independent Events.webm



After watching the lesson, please go to www.assistments.org to find your assignment.


8th grade lesson:

No new lesson today; we're going to complete a desmos exercise on range and domain.

Please go to www.student.desmos.com, sign in with your full name to receive credit, and use code:    6T58WM



Date of Message: Friday, May 1st

Congratulations to POW winners Will and Cullen!  Here's the solution:

Solution

The linear equation for the music stores is y = -3.317 x + 69.8 The linear equation for the other stores is y = 2.17 x +18.5 2. The predicted percentage value of the music stores for 2000 is 36.5%, for the other stores 40.5%.  The equation for other stores is more accurate.


Here's the new POW:


At Least This Many

How does the National Basketball Association (NBA) determine which player is its best field-goal shooter?

 

The NBA cannot rank strictly on the basis of shooting percentage without running the risk of comparing apples and oranges. If John Doe plays only a few minutes in one game, attempts only one shot, makes it, and then sits on the bench for the rest of the game, it doesn't seem fair to conclude he is a "better" shooter than Jay Public, who attempted ten shots, and hit eight of them - even though Doe's average of 100% tops Public's average of 80%. Therefore, a player qualifies for the "league lead" only after he appears in a minimum number of games and sinks a minimum number of shots.

 

To qualify for rankings after appearing in 10 games, a player must make 41 shots. Later on in the season, after appearing in 40 games, he must make 168 shots.

 

These two data "points" allow you to form a linear equation; in slope-intercept form,    y = mx + b, where the independent variable "x" represents the number of games in which a player must have appeared; and where the dependent variable "y" represents the number of field goals that must have been made.

Your task for this Problem of the Week is:

 

1. to find that equation, stating the values for m and b in common fractional form; 


 

2. to use it to predict the number of shots made so that a player qualifies for the rankings after appearing in 20 games, and then also for 30 games (rounding results to nearest whole number)

 

Give it a try and send your solution via email to  eric_lass@psbma.org  or share it to me via your psbma drive.



Date of Message: Thursday, April 30th

Good day my young math scholars,

Today, we'll have a Google meet-up for 8th graders, ONLY.  

I saw most 7th graders yesterday during Advisory and will see you all again on Tuesday.  If any 7th graders have math questions, feel free to email me at eric_lass@psbma.org .  Otherwise, I'll see 7th graders on Tuesday.


8th grade: 2:00pm Google Meet-up code:   meet.google.com/bmc-ctaj-fcy

Also, the POW is due tonight.  Scroll down to last Friday's message to see this week's POW.  Share your answer with me via email at eric_lass@psbma.org or via your psbma account.

See you soon!


Date of Message: Wednesday, April 29th

Good day my young math scholars,

7th graders, here's today's lesson:

7 Basic Probability.webm


After viewing, go to assistments.org for your assignment.  If you haven't signed up yet, the 7th grade code is: tj29gb

I'll see 7th graders today for Advisory and will stick around if there are any math questions.


8th Graders, here's your lesson:

8 Domain and Range.webm



After viewing, go to assistments.org for your assignment.  If you haven't signed up yet, the 8th grade code is:  c9mcxe



Date of Message: Tuesday, April 28th

Good day my young math scholars,

Today, we'll have Google meet-ups for everyone:

7th grade: 1:00pm Google Meet code:   meet.google.com/jnj-rxhu-hvc

8th grade: 2:00pm Google Meet code:   meet.google.com/bmc-ctaj-fcy

See you soon!


Date of Message: Monday, April 27th

Good day my young math scholars,

7th graders, here's today's lesson:

7 Volume v Surface Area.webm


After viewing, go to assistments.org for your assignment.  If you haven't signed up yet, the 7th grade code is: tj29gb

8th Graders, here's your lesson:

8 Function Notation.webm



After viewing, go to assistments.org for your assignment.  If you haven't signed up yet, the 8th grade code is:  c9mcxe

If there are any questions, I'll be having a meet-up on Tuesday, 1:00 for 7th graders, 2:00 for 8th graders.  See you then!



Date of Message: Friday, April 24th

Congrats to this week's POW winners: Will, Flo, Gus, Gregor, Kiran, Cullen, Ravin, and Grace L.

Solution

Chuck will get the most cola by using the vending machine. He will get 84 oz of cola. This is not the best buy. The best buy is the jug at the grocery store on a per oz basis.

 

Here's this week's POW:


Buy This Tune!

Where do you buy your music these days? You used to say, "At a music store!" but after the year 1990 there was a definite shift as to where music was purchased.

 

  Year  

 Music stores 

Online/Other 

1990

69.8%

18.5%

1996

49.9%

31.5%

2000

42.4%

40.8%

 

So it's clear that music stores are not the overwhelming choice it used to be.

Your tasks are to:

·      Determine the linear equation for each type of store for 1990 and 1996.

·      Use those equations to 'predict' the percentage values for 2000.

·      State which equation (Music or Online) was the better predictor for the actual sales in 2000.

 

Have a nice weekend!


Date of Message: Thursday, April 23rd

Good day my young math scholars,

If you didn't watch yesterday's lesson and complete the assignment, please do so today.  They're both right below today's message.

Also, I'd love to see you live at a Google Meet.  If you have math questions or just want to check in and see some classmates, please join us!  

7th grade: 1:00pm Google Meet code:   meet.google.com/jnj-rxhu-hvc

8th grade: 2:00pm Google Meet code:   meet.google.com/bmc-ctaj-fcy

Lastly, the POW is due tomorrow, the problem is down below in the Friday, April 17th message.

Date of Message: Wednesday, April 22nd

Good day my young math scholars,

7th Graders, I present today's lesson of new material, so fresh it's still warm from the oven:

7 Nets and Surface Area.webm


Go to Assistments.org to answer practice questions. If you haven't signed into Assistments yet, the 7th grade code is:  c9mcxe    

We'll have a Google Meet-up Thursday at 1:00pm.


8th graders, here's your lesson, so fresh it's still drying:

8 Functions and Graphs.webm


Once you've seen the video, go to student.desmos.com and use code:

KUF7K2

Please use your real name as I need to keep track of who's completing work. See you Thursday at 2:00pm for a Google Meet-Up!


Also, thanks to everyone who shared their creations with me, they look great!  Here are two (from Kelsey and Emma):




Date of Message: Tuesday, April 21st

Good day, my young math scholars,

I'll be doing 8th grade Advisories, so I won't be around for our 7th grade meet-up today.  I'll have new lessons ready for you on Wednesday and will see 7th graders for a meet-up on Thursday.

For 8th graders, advisories will be at 11:00am for 8-1 (8L), 12:00pm for 8-2 (8B) and 1:00pm for 8-3 (8C).  The code is the same for all three:


Also, I wanted to post this challenge: below, I've drawn a curve using only straight lines.  See if you can duplicate this at home, take a picture, upload it to your Google Drive and share it with me!  If you're really ambitious, make four of them and put them together, it looks amazing!





Date of Message: Monday, April 20th

Happy Patriots Day!!!  No school today, we'll have a math doodle and Google Meet-up on Tuesday.


Date of Message: Friday, April 17th

Congratulations to this week's POW winners: Gus, Cullen and Will

The correct answers were: Dog weighs 20, Ferret weighs 3, Cat weighs 12 and the Rabbit weighs 5 lbs.  Possible equations include D+F+R+C=40, 9D+7F=9R+13C, R=F+2, and C=D-8.

Here's the new POW:

Buying Cola

Chuck is buying some cola for his friends. He can go to the vending machine and get 12 oz. cans for $.60 per can, he can go to the corner store and get 20 oz. bottles for $.95 per bottle, or he can go to the grocery store and get 32 oz. jugs for $1.45 per jug.

He has $4.25 to spend.

At which place can he get the most cola?

 

Is this the best buy?



Monday is a holiday, so no new work until Wednesday, have a nice long weekend!



Date of Message: Thursday, April 16th

Good day my young math scholars,

Thanks to all who completed yesterday's Assistments work! 

Today I'd love to see you live at a Google Meet.  If you have math questions or just want to check in and see some classmates, please join us!  

7th grade: 1:00pm Google Meet code:   meet.google.com/jnj-rxhu-hvc

8th grade: 2:00pm Google Meet code:   meet.google.com/bmc-ctaj-fcy


Date of Message: Wednesday, April 15th

New Lessons Today!  Make sure you watch the right lesson and complete the correct Assistments questions.

7th graders:

7 Volume.webm


8th graders:

8 Functions 10.1.1.webm


After you watch the video lesson follow these instructions for Assistments:

1) Go to  assistments.org (NOTE THE .ORG)


2) Click on smallish button under Sign In that says: STILL USING 1.0 CLICK HERE


3) Most of you already have an account through your PSBMA address


4) Sign in and add a class with the codes (or start a new account if needed)

    

    7th grade code:   tj29gb

   

    8th grade code:   c9mcxe


5) I've assigned each grade a new problem set to complete.


6) Please complete the problems by Monday as I will be posting a lesson with more new material and a new problem set.


If you have questions about the assignment, please join me on Thursday for a Google Meet-up, 1:00pm for 7th graders and 2:00pm for 8th graders.




Date of Message: Tuesday, April 14th

Good day my young math scholars,

It's Google Meet-up day but I am experimenting with setting up remote math lessons that will start TOMORROW with new material.

Today, however, I'm piloting the software and posting a new 7th grade lesson here:

7 2D Slices of 3D Figures.webm



7th graders, please watch the video (less than 7 minutes) and let me know how it looks on today's meetup!

Here are the codes for today's Google Meet-ups (7th grade is back to 1:00pm):

7th grade: 1:00pm Google Meet code:  https://meet.google.com/jnj-rxhu-hvc
8th grade: 2:00pm Google Meet code:   https://meet.google.com/bmc-ctaj-fcy

See you this afternoon!



Date of Message: Monday, April 13th

Good day my young math scholars,


Try an Assistments activity today:

1) Go to  assistments.org (NOTE THE .ORG)


2) Click on smallish button under Sign In that says: STILL USING 1.0 CLICK HERE


3) Most of you already have an account through your PSBMA address


4) Sign in and add a class with the codes (or start a new account if needed)

    

    7th grade code:   tj29gb

   

    8th grade code:   c9mcxe


5) I've assigned each grade a problem set to complete.


6) Please complete the problems by Wednesday as I will be posting a lesson with NEW material and a new problem set.



Hope to see you tomorrow at our next Google Meet, whether you have questions about the problem set or just want to say hello!

Also, congratulations to last week's POW winners:   
Kiran, Liv, Gregor, Will, Olga and Carlotta

Solution to Last Week's POW:


Dinner at Pepe’s 

The total bill for the pizza and the three sodas is $21. Annie paid $8.00, Suz paid $4.20, and Cynthia paid $8.80.  The actual cost of Annie's meal is $7.70. The actual cost of Suz's meal is $5.35. The actual cost of Cynthia's meal is $7.95. Annie's estimated cost was closest.

 

Here's this week's POW, due Friday:

Teeter Troop

A seesaw can balance with four weights on it. The product of each weight and its distance from the fulcrum contributes to the balancing. If the sum of those products on one side equals the sum of the products on the other side, balance is achieved.

Four animals are balancing on a seesaw as shown below. All of the distances are measured in feet.


Use the diagram and the following clues to determine the weight of each animal.

·      The sum of their four weights is 40 pounds.

·      The rabbit weighs 2 pounds more than the ferret.

·      The cat weighs 8 pounds less than the dog.



Date of Message: Friday, April 10th

No School today, POW winners and new POW will be revealed on Monday.


Date of Message: Thursday, April 9th

Good day my young math scholars,

Thanks to all who completed yesterday's Desmos activities! 

Today I'd love to see you live at a Google Meet.  If you have math questions or just want to check in and see some classmates, please join us!  Please note the NEW     TIME FOR 7TH GRADERS TODAY AT 10:00AM!!!  Ms. Sneider is doing one of her Advisories at 1:00pm so I'm moving my 7th grade meet-ups to the morning JUST FOR TODAY.

If you checked this page after 10:00am and missed today's 7th grade meeting, no problem, I'll see you on Tuesday!


7th grade: 10:00am Google Meet code: https://meet.google.com/fgd-tyow-ehi
8th grade: 2:00pm Google Meet code: https://meet.google.com/etf-kcec-dzf

Tomorrow is a school holiday, so I'll be posting POW winners and next week's POW on Monday.


Date of Message: Wednesday, April 8th

Good day my young math scholars,


Here are your latest Desmos activities:

1) Go to student.desmos.com

2) Sign in with your real name, no nicknames please

3) 7th grade code:   TA8VFE

    8th grade code:   52R7M6


If you have any questions, I'll be hosting another Google Meet-up on Thursday, 1:00 for 7th graders, 2:00 for 8th graders.


Friday is a holiday, so I won't be posting anything new. I'll post this week's POW winners and the next POW on Monday.  To find this week's POW, "Dinner at Pepe's", scroll down to my April 3rd posting.



Date of Message: Tuesday, April 7th

Good day my young math scholars,

Thanks to all who completed yesterday's Desmos activities! 

Today I'd love to see you live at a Google Meet.  If you have math questions or just want to check in and see some classmates, please join us!


7th grade: 1:00pm Google Meet code: https://meet.google.com/yyi-rkbo-mat
8th grade: 2:00pm Google Meet code: https://meet.google.com/dvy-nqiz-omc

If you haven't done so yet, here's an extension Ms. Murphy pass along that you can add to your Chrome browser which allows you to see a Grid View while using Google Meet.  It makes it more like Zoom and is worth doing:



Date of Message: Monday, April 6th

Good day my young math scholars,


Here are your latest Desmos activities:

1) Go to student.desmos.com

2) Sign in with your real name, no nicknames please

3) 7th grade code:   VFWB2K

    8th grade code:   JZK4QA


For those of you looking for an extra challenge, skip the Desmos and try one of the three problems offered here (same set as last week, but feel free to try a different problem!):


I've got separate files for 7th and 8th graders, but feel free to try a different grade's problems if you wish. Either share your solution in a google doc with me or send me an email to: 

eric_lass@psbma.org

Hope to see you tomorrow at our next Google Meet, whether you have questions or just want to say hello!


Date of Message: Friday, April 3rd

Good day my young math scholars,


Congratulations to POW winners:   
Ravin, Flo, Kiran, Cullen, Will, Grace and Harrison

Solution to Last Week's POW

 

a=2, b=3, c=5



Here's this week's POW:

Dinner at Pepe's

Cynthia, Annie, and Suz went to Pepe's Pizza Palace for dinner after band practice. They shared a large pizza and each girl ordered a soda. When the bill came, they talked about how to split it up fairly.

"Annie, you had three slices and a medium soda so you should pay one-third of the bill," said Suz.

"Well, I'll chip in a dollar more than that," replied Annie. Annie replied to Suz, "And since you only had two slices and also ordered a small soda, you should only pay 20% of the bill."

"That seems fair," said Cynthia. "I ate three slices and had a large soda, so I should pay the most. I'll pay the remaining $8.80."

1. How much was the total bill for the pizza and the three sodas, and how much did each girl pay?

2. At Pepe's, a medium soda costs 25 cents more than a small, and a large soda costs 25 cents more than a medium. The cost of the sodas made up one-fifth of the total bill.  Figure out the actual cost of each girl's meal. Whose estimated cost was the closest to her actual cost?


Email me your solutions at:   eric_lass@psbma.org



Date of Message: Thursday, April 2nd

Thanks to all who completed yesterday's Desmos activities and/or Big Problem! 

Today I'd love to see you live (if not in person) at a Google Meet.  If you have math questions or just want to check in and see some classmates, please join us!


7th grade: 1:00pm Google Meet code:  meet.google.com/ybj-iqen-ywy

8th grade: 2:00pm Google Meet code:  meet.google.com/ewf-mzdm-dmj

If you haven't done so yet, here's an extension Ms. Murphy pass along that you can add to your Chrome browser which allows you to see a Grid View while using Google Meet.  It makes it more like Zoom and is worth doing:



Date of Message: Wednesday, April 1st

Good day my young math scholars,

It was great to see so many of you on our Google Meet yesterday.  Nearly half the 8th grade made it!  Your teachers all miss you very much and it was a pleasure to see some faces for the first time in weeks.

You get to choose your assignment today (no April fools joke).   For those of you who prefer Desmos: 

1) Go to student.desmos.com

2) Sign in with your real name, no nicknames please

3) 7th grade code:    FWK29Q

    8th grade code:    EUE6PC


For those of you looking for an extra challenge, skip the Desmos and try one of the three problems offered here:


I've got separate files for 7th and 8th graders, but feel free to step up if you wish. Either share your solution in a google doc with me or send me an email to: 

eric_lass@psbma.org

Hope to see you tomorrow at our next Google Meet, whether you have questions or just want to say hello!


Date of Message: Tuesday, March 31

Good day my young math scholars,

Thanks to all who completed yesterday's Desmos activities, we had our best day of attendance yet! 

Today I'd love to see you live (if not in person) at a Google Meet.  If you have math questions or just want to check in and see some classmates, please join us!


7th grade: 1:00pm Google Meet code: https://meet.google.com/xkr-jzvt-cww
8th grade: 2:00pm Google Meet code: https://meet.google.com/crd-tvdw-mgg

If you haven't done so yet, here's an extension Ms. Murphy pass along that you can add to your Chrome browser which allows you to see a Grid View while using Google Meet.  It makes it more like Zoom and is worth doing:


For those looking for another math challenge today, give the Super Challenge problem here a try:




Date of Message: Monday, March 30

Good day my young math scholars,


For those of you who shared your work with me through your Google Drive, I've been able to look at all of it, so go check your documents for comments.


Today's task is on Desmos, so


1) Go to student.desmos.com

2) Sign in with your real name, no nicknames please

3) 7th grade code:    B8CNGS

    8th grade code:    5TPVBK


If you have any questions, I'll have a Google Meet Up on Tuesday, 1:00pm for 7th graders and 2:00pm for 8th graders.



Date of Message: Friday, March 27


Good day my young math scholars,


Congratulations to POW winners!  

Harrison, Ravin, Kiran, Flo

Here's the solution:

Adrienne's Axel 

The new program will have 1 double Salchow, 2 Axels, and 2 Lutz-Loop- Loop combinations. 


Let s = # of double Salchows, a = # of Axels, and c = # of combinations. Then Mandy's statements give 3 equations: There are 9 jumps: s + a + 3c = 9 (remember a combination is 3 jumps) There are 11 rotations: 2s + 1.5a +3c = 11 There are 2 combinations: c = 2 Substituting c=2 in the first 2 equations and rearranging we get s + a + 6 = 9 or s + a = 3 2s + 1.5s + 6 = 11 or 2s + 1.5a = 5 These two equations in two unknowns may be solved by any standard method, such as substitution or linear combinations. For example, using substitution, s = 3-a, so 2(3-a) + 1.5a = 5, so 1 = 0.5 a, so a = 2. Thus s = 3-2 = 1. So the program has one double Salchow, 2 Axels, and 2 Lutz-Loop-Loop combinations. Bonus: No. Without any information about combinations, we have s + a +3c = 9 2s + 1.5a +3c = 11 But remember that the solutions must be whole numbers (you can't do half an Axel or a negative double Salchow, for example). Thus 1.5a < 11, so a < 11/1.5 = 22/3, i.e., a < 7. But the number of Axels must be even, because we have no half-jumps in this program, and an Axel is 1.5 rotations. With a = 6, from the first equation, s=0 and c=1 or s=3 and c=0, neither of which work in the second equation. With a = 4, from the first equation, s=2 and c=1 or s=5 and c=0, neither of which work in the second equation. With a = 0, from the first equation, s=6 and c=1 or s=3 and c=2 or s=0 and c=3, none of which work in the second equation. Thus a=2 is the only possible number of axels. Then s + 3c = 7 and 2s + 3c = 8, so s = 1 and c = 2.  



Here's the new POW:


The ABCs of Exponents

Given the following three equations, solve for a, b, and c:

Show your work and email me your solutions by next Friday at:


eric_lass@psbma.org



Have a nice weekend!




Date of Message: Thursday, March 26


Good day my young math scholars,


If you've shared a document with me, please take a look at them as I've been able to read and comment on everything.


I'd like to have another meet up today to talk math, books, movies, or anything else on your minds. Let's try Zoom this time:


7th graders - Thursday from 1:00 - 1:30pm

8th graders - Thursday from 2:00 - 2:30pm


To access the video conference:

1) log onto  www.zoom.us    (PLEASE NOTE THE  .US)

2) you can download the zoom app if you haven't done so yet, but leave some time         as it takes a little while for them to send you a confirmation email

3) I've been told there's also a way to jump on a conference without the app if you scroll down the zoom website

4) enter the appropriate code:


        7th graders:  370 745 582

        8th graders:  165 450 458  

   




Date of Message: Wednesday, March 25


Good day my young math scholars,


Thanks to those of you who joined in to chat yesterday, it was great to see you all!

Sorry if it was a bit chaotic, if you have math questions please email me and I'll either respond or we can set up a 1:1 or small group conference.


For those of you who shared your work with me, I've been able to look at all of it, so go check your documents for comments.


Today's task is on Desmos, so


1) Go to student.desmos.com

2) Sign in with your real name, no nicknames please

3) 7th grade code:    2F3FX4

    8th grade code:    TBSZ7Y


I'll post Thursday's office hours and codes tomorrow morning. I think we'll try Zoom this time.



Date of Message: Tuesday, March 24


Good day my young math scholars,


If you didn't see my message from yesterday, please scroll down and give one of the problems I've posted a try.  I plan to post something new to do on Wednesday.


For today (Tuesday), I'm going to try to vault myself into the 2020s by holding a video conference meet up.  If you have any questions on the math problems I assigned or are looking for an alternative that might be easier, or maybe just want to check in and say hello, please join me!


7th graders - Tuesday from 1:00 - 1:45pm

8th graders - Tuesday from 2:00 - 2:45pm


To access the video conference:

1) go to your PSBMA account

2) click on the "waffle" in the upper right hand corner of your screen

3) choose "Meet"

4) enter the appropriate code:


        7th graders     hvn-ogoy-gqf

        8th graders     dkj-dxzr-mvr


There's a small chance that the technology (or more likely Mr. Lass) will encounter a problem, so I apologize in advance if this goes less than smoothly.  We'll get better at it by Thursday.


Best regards,


Mr. Lass




Date of Message: Monday, March 23


Hello my young math scholars,


First off, I miss seeing you all and hope you and your families are healthy and keeping busy!


I'm going to start offering work for you on Mondays and Wednesdays as well as a new Problem Of the Week on Fridays (see below for POWs and solutions). 


I'm also trying to figure out a way for you to check in if you need help (or just want to say hello) on Tuesdays and Thursdays. Maybe Google hangout, but stay tuned...


Please click here to access your Big Problem for Monday, March 23rd:


https://sites.google.com/site/lassmath/my-forms


Each file contains three problems. They range from easier to more difficult. Read all three and choose ONE problem that seems like the most difficult you might be able to solve. You may type your solution or write it out and take a photo. As always, SHOW YOUR WORK!  Your finished product should include the math you used as well as a paragraph or two explaining what you did.  This should take you 30-60 minutes over the next couple of days.


Share your solution with me on Google Drive or email it to me (whichever is easiest for you) at:   


eric_lass@psbma.org     



7th graders, if you'd like a bigger challenge, try an 8th grade problem instead of the 7th grade list. 8th graders, if you're having trouble, feel free to try a 7th grade problem.


Here's a template to help any and all with answering the Big Problem:


https://docs.google.com/document/d/1yspRDX6KjjnwuMrVwk7yT915bDvy27e_hy7JDYydRoY/edit


I also included an additional challenge problem if you're looking for something even bigger!


If you have questions, feel free to email me.


My other assignment is for you to try to do something nice for a friend or family member each day. This is a difficult time for everyone and it can be hard to be stuck at home with the same people every day, even if they're the people you love most. If we all can do something nice for each other, it will make life more pleasant all around.


I hope we can see each other again soon!


Best regards,


Mr. Lass